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Prepared for Texas Science Initiative of the Texas Education Agency Shirley Neeley, Ed.D., Commissioner of Education September, 2005 Meta-Analysis of National Research Regarding Science Teaching
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Page 1: Meta-Analysis of National Research Regarding Science Teaching

Prepared for

Texas Science Initiative of the Texas Education Agency Shirley Neeley, Ed.D., Commissioner of Education

September, 2005

Meta-Analysis of National Research Regarding Science Teaching

Page 2: Meta-Analysis of National Research Regarding Science Teaching

Texas A&M University Center for Mathematics and Science Education Project Staff: Timothy P. Scott, Ph.D. Homer Tolson, Ph.D. Carolyn Schroeder Yi-Hsuan Lee, Ph.D. Tse-Yang Huang, Ph.D. Xue Hu Adrienne Bentz Advisory Board: Carol L. Fletcher, Ph.D., Texas Regional Collaboratives, UT Austin Ginny Heilman, Region VI ESC Anna McClane, Region IV ESC Sandra S. West, Ph.D., Texas State University Jo Ann Wheeler, Region IV ESC Review Team: Katherine (Kit) Price Blount, Ph.D., Texas Collaborative for Excellence in Teacher

Preparation Patricia Castellano, North East ISD, San Antonio Diane Jurica, George West ISD Judy Kelley, Texas Rural Systemic Initiative & South Texas Rural Systemic Initiative Mayra Martinez, TAMU-Corpus Christi Sharon Kyles Ross, Dallas ISD Fernando Ruiz, TAMU-Corpus Christi

Texas Education Agency Project Staff: Robert Scott, Chief Deputy Commissioner Christi Martin, Senior Advisor Susan Barnes, Ph.D., Associate Commissioner Chris Castillo Comer, Director of Science Gina S. Day, Texas Science Initiative Manager Sharon Jackson, Ph.D., Deputy Associate Commissioner Irene Pickhardt, Assistant Director of Science George Rislov, Managing Director of Curriculum

Page 3: Meta-Analysis of National Research Regarding Science Teaching

An Introduction to the Texas Science Initiative

In 2003, the 78th Texas Legislature enacted HB 411 to improve science education at all levels and prepare Texas students for postsecondary success. Led by Governor Rick Perry, a community of education leaders and policy makers established a plan for the initiative, conducted a needs analysis of the current state of science education in Texas, and recommended action steps for responding to those needs with scientific research-based professional development, instructional strategies, and classroom materials. The resulting group of programs, known as the Texas Science Initiative, strives to address these challenges through a number of ventures, including the creation of professional development modules emphasizing effective strategies for teaching Science; online diagnostic instruments to aid teachers in student needs assessment; after-school and summer programs for struggling students; and the Master Science Teacher Certification Program. In order to aid the Agency and the Commissioner in the creation of training materials and other resources to assist science teachers in developing expertise in effective instructional approaches, the Texas Education Agency commissioned Texas A&M University at College Station to conduct a meta-analysis of national science education research to identify the most effective science instructional tools and methods. The purpose of this meta-analysis is to define what has been shown to improve student achievement and to develop a publication designed to share that information with educators across the state. This research provides the basis for production of a rubric for evaluating state-invested and other science education professional development and instructional materials to ensure the integrity and reliability of those products. The identification and implementation of proven methods of science instruction is a key step in ensuring the success of Texas students in science achievement and will inform future policy decisions and resource investments of science education stakeholders and policy makers.

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Meta-Analysis of National Research Regarding Science Teaching i

CONTENTS

Introduction to the Meta-Analysis...………………………………………………... 1

Methodology………………………………………………………………………….. 3

Acquisition of Studies………………………………………………………...... 3

Coding of Studies……………………………………………………………..... 4

Intercoder Objectivity………………………………………………………....... 5

Criteria for Selection of Studies……………………………………………..... 6

Computation of Effect Size…………………………………………………..... 7

Statistical Methods and Analysis……………………………………………… 9

Results………………………………………………………………………………… 10

Section 1: Description of Studies…………………………………………....... 10

Section 2: Meta-Analysis Validity Issues…………………………………...... 16

Section 3: Meta-Analysis for All Studies…………………………………....... 19

Section 4: Meta-Analysis for Studies Classified by Treatment Categories. 22

Section 5: Analysis of Moderator Variables………………………………….. 27

Conclusions…………………………………………………………………………... 28

References………………………………………………………………………….... 30

Studies Included in Meta-Analysis…………………………………………………. 31

Appendix A. Web Sites and Search Terms……………………………………….. 35

Appendix B. Bibliography of Studies and Articles………………………………... 38

Appendix C. Literature Coding Document………………………………………… 63

Appendix D. Treatment Description Categories Classification Form….……….. 65

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Meta-Analysis of National Research Regarding Science Teaching ii

Appendix E. Treatment Description Summaries………………….…………….... 67

Appendix F. Comprehensive Meta-Analysis Output …………………………….. 78

Appendix G. Regression Output……………………..…………………………….. 92

Appendix H. Formulas………….………………………………………………….... 96

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Meta-Analysis of National Research Regarding Science Teaching 1

Introduction to the Meta-Analysis The Center for Mathematics and Science Education at Texas A&M

University has undertaken a research project commissioned by the Texas

Education Agency in order to improve the learning and academic performance of

students in K-12 science so that they are prepared for post-secondary success.

This portion of the research project, a meta-analysis of national research

regarding science instruction, was initiated to establish a knowledge base of what

methodologies have been shown to be effective and which ones have not been

effective. The meta-analysis addressed the question: What teaching

methodologies have been shown to improve student achievement in science?

While this question may appear too broad for a meta-analysis, the broadness was

intentional to encompass the breadth of science methodologies employed and the

multitude of instruments used to assess student achievement. The findings of this

study will be used to develop a publication to share this vital information with

educators across the state and to provide the criteria for evaluation of instructional

materials and professional development programs.

The methodology involved in this project consisted of six major phases:

acquisition of studies, coding of studies, determining intercoder objectivity,

establishing criteria for selection of studies, computation of effect size and

establishing statistical methods and conducting analyses. The study acquisition

phase involved searching for research reports as well as position papers,

bibliographies, and other relevant references and collecting as many pertinent

reports as possible for the meta-analysis. The first step of the study coding phase

consisted of developing a coding instrument to identify all of the necessary types

of information to be collected from each report in order to describe the

interventions used in the studies. Each report was then screened to determine if it

met the preliminary criteria for inclusion in the meta-analysis. Those studies

meeting the preliminary criteria were then carefully coded using the coding

instrument. The third phase, intercoder objectivity, involved the simultaneous

coding of three studies by three members of the research team. A listing of the

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Meta-Analysis of National Research Regarding Science Teaching 2

stringent criteria for final selection of studies was the fourth phase of the project.

The fifth phase of the methodology was the computation of effect sizes. The final

phase involved the use of Comprehensive Meta-Analysis® (CMA) software and

SPSS® statistical analysis software, to obtain results for display and interpretation.

This initial report is limited in scope due to the rigorous inclusion criteria

necessitated by the time limits for completion. It is highly recommended that the

following types of studies be included in future meta-analyses:

o International studies

o Correlational studies (data on two variables collected and

summarized, showing the relationship between the variables)

o Studies dealing with attitudinal and motivational changes in students

and teachers

o Studies dealing with special populations (English-language learners,

special education, under-represented populations, etc.)

o Studies dealing with teacher professional development

o Studies dealing with learning in general (not just limited to science

education)

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Meta-Analysis of National Research Regarding Science Teaching 3

Methodology Acquisition of Studies A broad search for reports of studies to be included in the meta-analysis

resulted in the collection of over 390 studies including journal articles, conference

papers, books, dissertations, government reports and unpublished papers. The

majority of the reports were identified through searches of electronic databases,

including ISI Web of Science, ERIC, ERIC EBSCO, ERIC FirstSearch, ERIC CSA

(Cambridge Scientific Abstracts), Academic Search Premier, PsycINFO, and

ProQuest Dissertations and Theses. Government web sites such as Berkeley

National Laboratory, the Department of Education, and other science education

sites such as the National Academies, National Science Resources, American

Association for the Advancement of Science (AAAS), Education Development

Center, and National Science Teachers Association provided reports, links to

sources, and names of science programs. In addition, general Web searches

using standard search engines such as Google and Google Scholar were

conducted. Initial search terms included “science education” and “student

achievement.” Subsequent searches were expanded by using various

combinations of alternatives for achievement, such as “performance,” “success,”

and “outcomes,” and by combining them with individual science disciplines such

as “biology,” “chemistry,” “physics,” “physical science,” “earth science,” “ecology”

and “environmental science.” Other terms such as “science teaching,” “hands-on

science,” and “professional development” were also used in search strings. (See

Appendix A for a listing of web sites and search terms employed.)

A request was sent by email to the National Association for Research in

Science Teaching (NARST) listserve soliciting suggestions of published articles or

reports that might contain useful research or for copies of unpublished research.

Experts in the field of science education research were asked to review the

bibliography and make suggestions. In addition, direct requests for information

were sent individually to project directors of “exemplary and promising science

programs” identified by the Department of Education Expert Panel on

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Meta-Analysis of National Research Regarding Science Teaching 4

Mathematics and Science Education. The programs contacted included the

Biological Sciences Curriculum Studies (BSCS), Project ARIES, Project InSIGHT,

Event-Based Science, Foundational Approaches in Science Teaching (FAST),

Full Option Science System (FOSS), Great Explorations in Math and Science

(GEMS), Modeling Instruction in High School Physics, Phenomena and

Representations for the Instruction of Science in Middle Schools (PRISMS), and

Science 2000+. Finally, reference lists from books, dissertations, studies and

other meta-analyses were examined for potential studies to be included.

Coding of Studies Characteristics of the studies (moderator variables) were coded in order to

investigate the possible influence of some of these variables on effect size. Coded

attributes included:

• study number and citation,

• publication type (refereed journal article, dissertation, unpublished report),

• study type (experimental – complete randomization, quasi-experimental –

randomization used, quasi-experimental – no randomization, correlational),

• dependent variable [type of test, test name, number of items, content

area(s)],

• independent variable (treatment name and description, control and/or

alternate treatment),

• length of treatment/study,

• setting and characteristics,

o schools (number of schools, if selected at random, if unit of analysis,

public/private, urban/rural/suburban, size, % free lunch),

o students (number of students, if selected at random, if assigned at

random, if unit of analysis, gender, grade, ethnicity, socioeconomic

status), and

o teacher(s) (number of teachers, if volunteer or selected,

age/experience, gender, certification,

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Meta-Analysis of National Research Regarding Science Teaching 5

• study results [effect size(s), p(s), t(s), F(s), eta square(s), omega

square(s)],

• study design classification,

o true random assignment of schools/students to treatment and

control groups,

o quasi-experimental with match of schools/students to achievement

and demographics of comparison school/group,

o quasi-experimental with covariate adjustment for prior achievement

differences,

o quasi-experimental comparison of schools/subjects based a claim of

“similarity,”

o quasi-experimental comparison of schools/subjects to regional,

state, or national data,

o quasi-experimental single-group pre-post comparison,

o quasi-experimental treatment vs. control pre-post test, or

o quasi-experimental multiple group ANOVA (Analysis of Variance).

Intercoder Objectivity

In order to establish intercoder reliability, three journal articles were

selected at random and coded independently by the senior analyst and two

members of the research team. For two of the articles, the degree of objectivity

was 90%. Due to the non-inclusion of correlational studies in this meta-analysis,

only two items were coded for the third article as the coders stopped after

identifying the study as a correlational study. The remainder of the articles for this

project was divided between the two members of the research team who coded

their respective articles and then submitted them to the senior analyst. The senior

analyst then read and coded all of the articles and any differences in coding

values were resolved at the discretion of the senior analyst. All of the dissertation

material was evaluated and coded by the senior analyst and two recent Ph.D.

recipients who possess strong statistical backgrounds.

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Meta-Analysis of National Research Regarding Science Teaching 6

Criteria for Selection of Studies

In the initial search for studies, liberal criteria were employed and many

reports, studies and articles were collected which proved to be unusable for this

meta-analysis. For final inclusion in the meta-analysis, rigorous criteria which

conformed to the charge from TEA were employed. Studies had to have:

• been published between January 1, 1980, and December 31, 2004,*

• been concerned with K-12 science education in the U.S.,

• used student achievement (or success, performance, etc.) as the

dependent variable,

• used science education teaching strategies as independent variables,

• been experimental or quasi-experimental,

• reported effect size (ES) or the statistics necessary to calculate ES (means

and standard deviations, p values, ANOVA tables, etc.),

• not been totally correlational,

• been for general education students/classes (not deal exclusively with a

special population), and

• not been included more than once (e.g., the same study reported in a

conference paper and a journal article).

An indication of the number of studies that were not included and the

reasons for non-inclusion are presented in Table 1.

*This time span encompasses the studies conducted since the major science education meta-analyses published in the early 1980s.

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Table 1. Frequencies and Reasons for Non-Inclusion Reasons Frequencies

Did not fit time frame * Did not concern K-12 science education in the US 58 Did not use student achievement as DV and/or science education methodologies as IV 97

Was not experimental or quasi-experimental (cannot be correlational) 41 Did not have ES or necessary data to calculate ES 62 Was not for general education students (concerned with special populations) 25

Duplicated another study 6 Other (a meta-analysis report, bibliography, descriptive case study, position paper, literature review, etc.) 48

Total 337 *A large number of studies were not collected because it was immediately obvious that they did not fit within the time frame. Computation of Effect Size

For each achievement measure reported in the included studies, an effect

size (ES) was calculated comparing the performance of a treatment group with

that of a group that received a control treatment. Basic effect size calculations

were based on Cohen’s d (Cohen 1988) using the formula:

ScXXES CT −=

where d is replaced with ES and TX is the mean for the experimental or treatment

group, CX is the mean for the control group, and SC is the standard deviation of

the control group.

For studies which employed single group pre-post test designs, the effect

size was calculated as

pre

prepost

SXXES −

=

Where postX is the mean for the posttest, preX is the mean for the pretest, and

preS is the standard deviation for the pretest data. The above formulas were used

in hand calculations of effect size for many of the articles in this meta-analysis.

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Meta-Analysis of National Research Regarding Science Teaching 8

These previously cited indicators of effect size are presented as Hedges’ g

in the CMA® and involve the following formula:

P

CT

SXX

ES−

=

where ( ) ( )

211 2222

2

−+−+−

=CT

CCTTP nn

SnSnS which is the pooled variance.

In cases in which effect sizes had to be calculated indirectly, that is from t,

procedures recommended by Hedges and Becker (1986) were employed:

n

tES 2= (for equal ns) and

CT nn

tES 11+= (for unequal ns).

For the multiple groups ANOVA research designs, the transformation

formula used to convert F to ES was:

CT

CT

nnnn

FES+

=

where F is the obtained ANOVA test statistic and nT and nC represent respective

sample sizes.

If a sample size was less than 30, the standardized mean difference effect

size was adjusted by the following formula:

⎥⎦⎤

⎢⎣⎡

−−=

9431'N

ESES

Calculation of the standard error of each estimate of effect size was

accomplished using the following approximation formula:

( )( )21

2

21

21

2 nnES

nnnnse

++

+=

with 2

1se

w = as the weighting factor for ES.

In order to meet the meta-analytical assumption of independence of effect

sizes, only one effect size indicator per study should be represented in an

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analysis. If a study used several different outcome measures (for example, some

of the dissertations), then there would be more than one effect size for that study.

In the present meta-analysis, multiple effect sizes per study were averaged in two

ways. If a study used the same subjects with more than one dependent variable

(student achievement tests):

• a weighted mean effect size was calculated whenever the sample sizes

were very divergent (e.g., ni=15~80), and

• an unweighted mean effect size was calculated whenever the sample sizes

were equal or approximately equal.

These averaging procedures resulted in one effect size for each study. Statistical Methods and Analyses

In this study, the software used for calculating the meta-analysis for

standard research design studies was Comprehensive Meta-Analysis® from

BioStat. This software can produce Cohen’s d, Hedges’s g, Q values, confidence

intervals, fixed effects, random effects, and heterogeneity testing results. An

examination of the internal and external validity issues associated with this meta-

analysis was accomplished using multiple linear regression of the moderator

variables. This latter analysis was performed using SPSS® statistical analysis

software.

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Results

The results obtained in this investigation are presented in the following

sections: (1) Description of Studies, (2) Meta-Analysis Validity Issues, (3) Meta-

Analysis for All Studies, (4) Meta-Analysis for Studies Classified by Treatment

Categories, and (5) Analysis of Moderator Variables.

Section 1: Description of Studies Characteristics and Frequencies of the Selected Studies

A breakdown of the characteristics of the studies selected for the meta-

analysis is presented in Tables 2 and 3. These characteristics have the potential

to influence the effect sizes obtained from the studies.

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Table 2. Frequencies of Variable Characteristics for Included Studies Independent Variable Number of Cases Percent (%)

Publication Year 1980 – 1984 6 9.7 1985 – 1989 7 11.3 1990 – 1994 4 6.5 1995 – 1999 15 24.2 2000 – 2004 30 48.4

Publication Type Refereed Journal Article 40 64.5 Dissertation 18 29.0 Unpublished Report 4 6.5 Type of Study

Experimental (Complete Randomization) 3 4.8

Quasi-Experimental (Randomization Used) 33 53.2

Quasi-Experimental (No Randomization) 26 41.9

Correlational 0 0.0 Test Content Area Biology 17 27.4 Chemistry 12 19.4 Physics 5 8.1 Earth Science 7 11.3 Science 21 33.9 Study Rating Experimental, trt* vs. control 2 3.2 Quasi-, match 1 1.6 Quasi-, similar 1 1.6 Quasi-, single-group pre-post 14 22.6 Quasi-, trt* vs. control pre-post 27 43.5 Quasi-, ANOVA 17 27.4

Totals (for each variable) 62 100.0 *trt = treatment group

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The study characteristic Length of Treatment is displayed in Table 3. This

variable was presented separately because the many levels of this attribute result

in numbers of cases that are too small to make any definitive conclusion.

Table 3. Length of Treatment

Length (Months) Number of Cases Percent (%) .10 1 1.6 .25 4 6.5 .50 5 8.1 .75 2 3.2

1.00 8 12.9 2.00 12 19.4 3.00 2 3.2 4.00 3 4.8 5.00 3 4.8 7.50 2 3.2 8.00 1 1.6 9.00 6 9.7

12.00 3 4.8 Missing 10 16.1 Totals 62 100.0

Dependent Variable

The dependent variable (DV) of this meta-analysis, student achievement,

can be referred to by many names (student performance, success, outcomes) and

may be evaluated with a multitude of assessment tools. The types of

assessments used in the studies and their frequencies are presented in Table 4.

Table 4. Dependent Variable (Test Type)

Test Type Number of Cases Percent (%) National Standardized-Multiple Science Content 3 4.8

National Standardized- Single Science Content 6 9.7

Local Standardized- Multiple Science Content 2 3.2

Local Standardized- Single Science Content 4 6.5

Other type test 47 75.8 Totals 62 100.0

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In any attempt to synthesize results from different studies, consideration

must be given to the validity and reliability of the different forms of the dependent

variable (DV) that will be used. In this meta-analysis of studies of science

education, 5 different forms of achievement assessment were subjected to

scrutiny.

The most often-encountered form of achievement assessment was local

teacher- or researcher-developed tests. It is assumed that the instruments

constructed by these individuals would possess acceptable levels of logical

relevancy since tests were formulated to match the instructional units that were

being investigated. The degree of reliability of the teacher-made instruments is

unknown as most of the authors did not provide information regarding this

characteristic. Therefore, it was necessary to assume that this form of

assessment (local type test) was conducted with adequate levels of reliability.

For the 15 studies that used standardized national or local assessments of

either multiple or single content areas, an indication of validity was usually not

reported but the authors referred to the original developers of the instruments

when discussing validity. Most authors gave indications of strong content and

construct validity for these forms of assessment. In terms of reliability for these

tests, the range of values reported was .70 to .94. Since these assessment tools

have been widely used and evaluated, the validities and reliabilities are well within

recommended tests and measurement guidelines.

Independent Variables

In order to explore some of the heterogeneity of effect sizes among the

studies, the various treatment conditions were cast into treatment categories.

Rather than operationally define treatment description categories based on the

studies used in this meta-analysis, an established set of teaching strategy

categories (Wise, 1996) was modified and employed. The modified list of

treatment description categories includes the following:

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• Questioning strategies. Teachers vary timing, positioning, or cognitive

levels of questions (e.g., increasing wait time, adding pauses at key

student-response points, including more high-cognitive-level questions,

stopping visual media at key points and asking questions, posing

comprehension questions to students at the start of a lesson or

assignment).

• Focusing strategies. Teachers alert students to the intent of the lesson or

capture their attention (e.g., providing objectives or reinforcing objectives at

the middle or closing of lesson, using advance organizers).

• Manipulation strategies. Teachers provide students with opportunities to

work or practice with physical objects (e.g., operating apparatus,

developing skills using manipulatives, drawing or constructing something).

• Enhanced materials strategies. Teachers modify instructional materials

(e.g., rewriting or annotating text materials, tape recording directions,

simplifying laboratory apparatus).

• Testing strategies. Teachers change the frequency, purpose, or cognitive

levels of testing/evaluation (e.g., providing immediate or explanatory

feedback, using diagnostic testing, formative testing, retesting, testing to

mastery).

• Inquiry strategies. Teachers use student-centered, inductive instruction

that is less step-by-step and teacher-directed than traditional instruction

(e.g., using guided or facilitated inquiry activities, guided discoveries,

inductive laboratory exercises, indirect instruction).

• Enhanced context strategies. Teachers relate learning to students’

previous experiences or knowledge or engage students’ interest through

relating learning to the students’/school’s environment or setting (e.g.,

using problem based learning, taking field trips, using the schoolyard for

lessons, encouraging reflection).

• Instructional technology strategies. Teachers use technology to enhance

instruction (e.g., using computers, etc. for simulations, modeling abstract

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concepts, and collecting data, showing videos to emphasize a concept,

using pictures, photographs, or diagrams).

• Direct instruction for teaching process skills. Teachers explicitly guide

students through a sequence of tasks (e.g., designing experiments, using

microscope, making measurements).

• Collaborative learning strategies. Teachers arrange students in flexible

groups to work on various tasks (e.g., conducting lab exercises, inquiry

projects, discussions)

A rating sheet (Appendix D) consisting of the treatment categories and a 5-point

Likert-type rating scale was developed to sort each study into an appropriate

category. Three science educators*, each possessing 20-30 years of public

school science instruction experience, read a description of the treatment

condition of each study. They then ranked each of the treatment strategies from 1-

5 for the study. The strategy category receiving the highest ranking response for a

given study was chosen as the treatment category for that study. It should be

noted that while ten strategies are listed, only eight were included in the analysis

because no studies meeting the criteria were found for Focusing strategies or

Direct instruction for teaching process skills. The analysis of the effect sizes for

the different treatment categories is presented in the section concerning

Comprehensive Meta-Analysis® (CMA) outcomes. (Table 8) *These educators were a convenience sample, selected for their expertise in science education and their availability.

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Section 2: Meta-Analysis Validity Issues In this meta-analysis, internal validity is concerned with study quality issues

that might influence the effect size obtained for science instruction strategies.

Four variables related to internal validity were examined in this study: (a)

publication type, (b) type of study, (c) study rating, and (d) dependent variable or

achievement test categories.

A reflection of the average effect size, variability and number of studies for

each category of these potential threats to internal validity is presented in Table 5.

Table 5. Internal Validity Influences on the Effect Size of Science Instruction Methodologies Mean SD N Publication Type Refereed Journal Article .91343 .684264 40 Dissertation .28439 .607646 18 Unpublished Report 1.03267 1.194027 3 Type of Study Experimental

(complete randomization) .83467 .375075 3

Quasi-experimental (randomization used) .52571 .677656 33

Quasi-experimental (no randomization) .99608 .775332 25

Study Rating Experimental, trt vs. control .82450 .618718 2 Quasi-, match 1.55100 . 1 Quasi-, similar .51000 . 1 Quasi-, single-group pre-post 1.39831 .827382 13 Quasi-, trt vs. control pre-post .43407 .574647 27 Quasi-, ANOVA .65566 .632238 17 Dependent Variable National Standardized-

Multiple Science Content 1.12367 .722053 3

National Standardized- Single Science Content .58083 .155080 6

Local Standardized- Multiple Science Content .18150 .000707 2

Local Standardized- Single Science Content .92350 .504390 4

Other type test .73568 .807000 46* Totals (for each influence) .73368 .736919 61* *These numbers are 1 less than previously presented due to exclusion of an outlier study.

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Because of the diversity in number of studies when these internal validity

concerns are fractionated, it is not prudent to address each level separately

because the number of studies for each will be few. The influences of these

characteristics as a whole are addressed in the section on multiple regression.

External validity deals with generalization issues, such as whether the

effect of science instruction strategies could be generalized to other populations

or situations. In this study, four variables that might influence external validity

were examined: (a) publication year, (b) test content, (c) grade level, and (d)

treatment categories.

A reflection of the average effect size, variability and number of studies for

each category of these potential threats to internal validity is presented in Table 6.

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Table 6. External Validity Influences on the Effect Size of Science Instruction Methodology Mean ES Mean SD N Publication Year 1980-1984 .61422 .466598 6 1985-1989 .33086 .163185 7 1990-1994 1.14650 .543101 4 1995-1999 .70471 .884399 14 2000-2004 .81003 .792026 30 Test Content Biology .48466 .755617 17 Chemistry 1.01078 .847695 11 Physics .53680 .258843 5 Earth Science .36643 .504522 7 Science .95940 .719718 21 Grade Level Elementary (K-8)* .65888 .680486 16 High School (9-12) .76027 .761513 45 Treatment Categories Questioning strategies .73913 .529271 3 Manipulation strategies .86213 .825688 8 Enhanced materials

strategies .41336 .480139 12

Testing strategies .49250 .099702 2 Inquiry strategies .62533 .706671 12 Enhanced context

strategies 1.42517 1.050396 6

Instructional media strategies .79160 .774321 15

Collaborative learning strategies .58853 .590639 3

Totals (for each influence) .73368 .736919 61 *When classifying by traditional grade levels, i.e., K-5 as elementary, 6-8 as middle school, the numbers of studies were quite small, therefore these groups were collapsed to the levels presented.

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Section 3: Meta-Analysis for All Studies In order to explore the 62 effect sizes obtained in this study, box plots

obtained from SPSS® were constructed. Box plots are used to graphically portray

observations that would be judged to deviate substantially from typical values.

The first box plot is exhibited in Figure 1.

Figure 1. Box Plot of ES for Total Data (N=62)

Effect Size

5

4

3

2

1

0

-1

-2

91

Based on this analysis, study #91 was identified as an extreme outlier,

meaning that its value is substantially different from the median value. The data

for achievement means that were presented in the article were judged to be

suspect by the senior analyst. Therefore, this particular report was excluded from

the analysis and a new box plot was constructed.

Figure 2 illustrates that after removal of the extreme outlier study, two

studies are identified as mild outliers. These studies were not excluded from the

meta-analysis since they were within the ±3 ES range.

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Figure 2. Box Plot for Data with Extreme Outlier Removed (N=61)

Effect Size

3

2

1

0

-1

601

38

A pictorial representation of the distribution of effect sizes for this meta-

analysis is shown in Figure 3.

Figure 3. Histogram for the Obtained Effect Sizes (N=61)

3.0002.0001.0000.000-1.000-2.000

Effect Size

25

20

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Figure 3 reveals that the largest number of effect sizes occurs in the range

of .00 to .50. With the exception of the indicated most frequent range, the

distribution of effect sizes is relatively normally distributed.

Based on the box plots and histogram, the data after removal of the

extreme outlier was judged to be acceptable for further analysis. A summary of

the analysis of effect sizes for the total data set is presented in Table 7. The

complete output associated with this analysis is given in Appendix F.

Table 7. Meta-Analysis Result for All Studies

N Total Effect Size Lower Limit Upper Limit t p Total

61 Studies 159695 .6696 .6594 .6797 128.9552 .0000

Based on the results across approximately 160,000 observations of

students, there is an effect of science instruction methodology on student

achievement. The effect size of .6696 translates to a treatment performance level

that would be located at the 75 percentile of the control group. This effect size

was judged to be statistically different from .00 as indicated by the probability

value associated with the t statistic.

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Section 4: Meta-Analysis for Studies Classified by Treatment Categories

The analyses of the effect sizes for the treatment categories were

effectuated using Comprehensive Meta-Analysis®. A summary of the results of

these analyses is presented in Table 8. For comparison purposes, the results for

the total group are also exhibited in the table. The complete output for the

analyses is exhibited in Appendix F.

Table 8. CMA Results for Total Data and Treatment Categories

N Total Effect Size Lower Limit Upper Limit t-Value Q-Value Total

61 Studies 159695 .6696 .6594 .6797 128.9552 1582.088

Treatment Categories Questioning Strategies 279 .7395 .4927 .9863 5.8992 11.8593

Manipulation Strategies 1240 .5729 .4565 .6893 9.6546 104.8797

Enhanced Material Strategies 2450 .2908 .2100 .3716 7.0540 61.5499

Testing Strategies 166 .5052 .1935 .8169 3.2005 .1906

Inquiry Strategies 145722 .6546 .6440 .6651 121.6432 364.4912

Enhanced Context Strategies 7235 1.4783 1.4167 1.5399 47.0629 147.5931

Instructional Technology Strategies

1962 .4840 .3916 .5764 10.2746 80.1969

Collaborative Learning Strategies 641 .9580 .7773 1.1388 10.4083 26.8652

Several interesting and informative results are presented in Table 8. First,

the effect sizes for all of the treatment categories exceed the lower effect size

benchmark value of .20. Second, two treatment categories, Enhanced Context

Strategies and Collaborative Learning Strategies, exceed the upper effect size

benchmark value of .80. Third, all of these effect sizes would be judged to be

significantly different from zero. The treatment category of Enhanced Material

Strategies exhibited an effect size that would be classified as small.

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The 95% confidence intervals for the treatment categories are displayed

graphically in Figure 4 on the following page.

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Figure 4 clearly shows that the treatment category of Enhanced Context

Strategies is more efficacious than the other strategies. Many of the confidence

intervals for the other treatment strategies contain overlapping ranges.

The central tendency values for the 8 treatment strategies are displayed in bar

chart form in Figure 5.

Figure 5. Mean Effect Sizes for Treatment Categories and Total Data

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

C1* C2* C3* C4* C5* C6* C7* C8* TotalMean ES

*Note: C1=Questioning Strategies

C2=Manipulation Strategies C3=Enhanced Material Strategies C4=Testing Strategies C5=Inquiry Strategies C6=Enhanced Context Strategies C7=Instructional Technology Strategies C8=Collaborative Learning Strategies

When making decisions based on the results of meta-analysis, one is always

concerned with what is known as the “file drawer problem.” This problem refers to the

idea that only studies that result in an effect are included in a meta-analysis. Studies

that did not uncover an effect are usually filed away by the researchers and are not

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available for inclusion. A calculation that attempts to address this concern is the

Failsafe N (Nfs). The obtained numerical value from this statistic is an estimate of the

number of non-significant “file drawer” studies that would need to be obtained and

included in a meta-analysis before a statement of no effect would be given to the

completed meta-analysis. Failsafe Ns for the total data set and the studies in the

treatment categories are exhibited in Table 9.

Table 9. Failsafe N for Total Data and Treatment Description Categories

Data ES N Nfs Overall .6696 61 756 Questioning Strategies .7395 3 42 Manipulation Strategies .5729 8 84 Enhanced Material Strategies .2908 12 58 Testing Strategies .5052 2 19 Inquiry Strategies .6546 12 145 Enhanced Context Strategies 1.4783 6 172 Instructional Technology Strategies .4840 15 130 Collaborative Learning Strategies .9580 3 55

Based on the estimates presented in Table 9, the only questionable treatment

category effect size in terms of a file drawer problem is for Testing Strategies. If 19 non-

significant results were found in file drawers, a decision of no effect for this strategy

would be stated. The resultant Nfs for the overall data would lead one to conclude that a

decision to deny an effect is not probable given that approximately 756 non-significant

studies would be needed to reverse the decision about the overall effect.

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Section 5: Analysis of Moderator Variables The moderator variables were placed in a multiple regression analysis to

determine the influence of all the coding components on the effect size data. A

summary of the SPSS® results is presented in Tables 10 and 11 and the complete

printout is exhibited in Appendix G.

Table 10. Regression Analysis for Moderator Variables Source Sum of Squares df Mean Square F Sig. Regression 4.243 9 .471 1.102 .383 Residual 17.536 41 .428 Total 21.778 50

Table 11. Regression Analysis: Dependent Variable: Effect Size (N=61) Moderator Variable Beta t Sig. Type of study .151 1.052 .297 Grade Level .067 .474 .638 Treatment Categories .036 .254 .801 Publish Type -.233 -1.591 .118 Study Rating -.181 -1.279 .207 Test Content .064 .438 .663 Dependent Variable .066 .488 .628 Publication Year .117 .696 .489 Length of Treatment .342 1.532 .133 Note. R2 = .167. The effect size outlier had been excluded in this analysis.

From the results of the regression analysis, it can be seen that the F ratio

associated with this data indicates that there is not a relationship between the

moderator variables and the dependent variable of effect size. The beta weights for the

regression were all judged to be non-significant. This means that the effect sizes

obtained in this meta-analysis are not influenced by the fact that the studies have

different levels of these potentially contaminating attributes.

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Conclusions

What teaching methodologies have been shown to improve student achievement in science? Conclusions from this meta-analysis can be framed based

on the rankings of the effect sizes associated with the respective teaching strategies. A

ranking of the strategies is presented in Table 12.

Table 12. Ranking of Teaching Strategies Strategies Effect Size Rank

Enhanced Context Strategies 1.4783 1

Collaborative Learning Strategies .9580 2

Questioning Strategies .7395 3

Inquiry Strategies .6546 4

Manipulation Strategies .5729 5

Testing Strategies .5052 6

Instructional Technology Strategies .4840 7

Enhanced Material Strategies .2908 8

All of the innovative teaching strategies presented in the 61 studies exhibited a

positive influence on student achievement. As indicated by Wise (1996), innovative

science instruction is a mixture of teaching strategies and no one strategy is as powerful

as utilizing a combined strategies approach. Students exposed to a traditional approach

of science instruction can and will exhibit achievement; however, meta-analysis results

indicate that incorporation of other avenues of learning via innovative strategies

significantly augments the degree of achievement.

Within the family of instructional strategies, Enhanced Context Strategies such as

relating to previous learning, field trips, group discussion, games, simulations, and

reflective learning seem to have the greatest impact. Collaborative Learning Strategies

such as flexible heterogeneous groupings and interdisciplinary teaming also displayed a

strong effect. The results are not influenced by the variety of study characteristics and

settings including grade level of students and subject area within science.

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The teaching strategy category that exhibited the largest effect size was

Enhanced Context Strategies. Teachers make learning relevant to students by

presenting material in the context of real-world examples and problems. The real world

can be brought to students through technology and students may be taken out of the

classroom into the real world through field experiences. This type of augmented

instruction is aligned with the implications for teaching outlined in How People Learn:

Brain Mind, Experience and School (Bransford et al. 2000):

1. Teachers must draw out and work with the preexisting understandings that their

students bring with them. (p. 19)

2. Teachers must teach some subject matter in depth, providing many examples in

which the same concept is at work and providing a firm foundation of factual

knowledge. (p. 20)

3. The teaching of metacognitive skills should be integrated into the curriculum in a

variety of subject areas. (p. 21) Students should be encouraged to reflect on their

learning through journaling and self-assessment activities.

When considering the meta-analysis of the 61 studies as a whole, one is forced to

conclude that when science instruction is altered from the traditional or control

approach, student achievement is enhanced. While this result is very important, it is not

unexpected. If students are placed in an environment in which they can (1) actively

connect the instruction to their interests and present understandings, (2) experience

success early in the learning process, and (3) have an opportunity to experience

scientific inquiry, achievement will be accelerated.

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References Bransford, J. D., Brown, A. L., & Cocking, R. R. (Eds.). (2000). How people learn: Brain,

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Cohen, J. (1988). Statistical power analysis for the behavioral sciences. New York: Academic Press.

Wise, K. C. (1996). Strategies for teaching science: What works? Clearing House, 69(6), 337-338.

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Studies Included in Meta-analysis* Akpan, J. P. & Andre, T. (2000). Using a computer simulation before dissection to help students learn

anatomy. Journal of Computers in Mathematics and Science Teaching, 19(3), 297-313. (475) Baker, T. R., & White, S. H. (2003). The effects of GIS on students’ attitudes, self-efficacy, and

achievement in middle school science classrooms. Journal of Geography, 102(6), 243-254. (48)

Berube, C. T. (2001). A study of the effects of constructivist-based vs. traditional direct instruction on 8th grade science comprehension. Unpublished Ph.D., Old Dominion University, United States – Virginia. (21)

Bluette, C. L., Jr. (1999). An evaluation of the effects of staff development for teachers who utilize multiple strategies with middle school students in mathematics and science. Unpublished Ed.D., Saint Louis University, United States – Missouri. (32)

Chang, H. P., & Lederman, N. G. (1994). The Effect Of Levels Of Cooperation Within Physical Science Laboratory Groups On Physical Science Achievement. Journal Of Research In Science Teaching, 31(2), 167-181. (166)

Clark, D. R. (2000). Effects of teaching high school chemistry with dynamic particle models on student achievement and conceptual understanding. Unpublished Ph.D., The Catholic University of America, United States – District of Columbia. (30, 300)

Dalton, B., Morocco, C. C., Tivnan, T., & Mead, P. L. R. (1997). Supported inquiry science: Teaching for conceptual change in urban and suburban science classrooms. Journal Of Learning Disabilities, 30(6), 670-684. (448)

Dean, D. M. (2004). An evaluation of the use of Web-enhanced homework assignments in high school biology classes. Unpublished Ed.D., The University of Alabama, United States – Alabama. (1)

Demirci, N. (2001). The effects of a Web-based physics software program on students’ achievement and misconceptions in force and motion concepts. Unpublished Ph.D., Florida Institute of Technology, United States – Florida. (25)

Dillashaw, F. G., & Okey, J. R. (1983). Effects of a modified mastery learning strategy on achievement, attitudes, and on-task behavior of high school chemistry students. Journal of Research In Science Teaching, 20(3), 203-211. (457)

Faro, S. T. (2003). An investigation of components of the studio model and supplemental online materials, on student achievement and attitudes in science at the high school level. Unpublished Ph.D., State University of New York at Albany, United States – New York. (4)

Fortus, D., Dershimer, R. C., Krajcik, J., Marx, R. W., & Mamlok-Naaman, R. (2004). Design-based science and student learning. Journal of Research in Science Teaching, 41(10), 1081-1110. (60, 600, 601)

Frederick, L. R., & Shaw, E. L., Jr. (1999, November 17-19). Effects of science manipulatives on achievement, attitudes, and journal writing of elementary science students revisited. Paper presented at the Annual Meeting of the Mid-South Educational Research Association, Point Clear, AL. (ERIC Document Reproduction Service No. ED 436410). (468)

Frederick, L. R., & Shaw, E. L., Jr. (1998, November 4-6). Examining the effects of science manipulatives

on achievement, attitudes, and journal writing of elementary science students. Paper presented at

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Gatlin, L. S. (1998). The effect of pedagogy informed by constructivism: A comparison of student

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Glasson, G. E. (1989). The effects of hands-on and teacher demonstration laboratory methods on science achievement in relation to reasoning ability and prior knowledge. Journal of Research In Science Teaching, 26(2), 121-131. (276)

Hamrick, L., & Harty, H. (1987). Influence of resequencing general science content on the science achievement, attitudes toward science, and interest in science of 6th grade students. Journal of Research In Science Teaching, 24(1), 15-25. (278)

Hand, B., Wallace, C. W., & Yang, E. M. (2004). Using a science writing heuristic to enhance learning outcomes from laboratory activities in seventh-grade science: Quantitative and qualitative aspects. International Journal of Science Education, 26(2), 131-149. (50)

Harwood, W. S., & McMahon, M. M. (1997). Effects of integrated video media on student achievement and attitudes in high school chemistry. Journal of Research in Science Teaching, 34(6), 617-631. (57)

Hocutt, M. M. (2003). Comparing instructional methodologies in sixth-grade science: Traditional textbook, integrated science, and integrated science with technology enhancement. Unpublished Ph.D., The University of Alabama, United States – Alabama. (6, 609)

Houtz, L. K. E. (1995). Instructional strategy change and the attitude and achievement of 7th-grade and 8th-grade science students. Journal of Research In Science Teaching, 32(6), 629-648. (245, 2450)

Huffman, D., Goldberg, F., & Michlin, M. (2003). Using computers to create constructivist learning environments: Impact on pedagogy and achievement. Journal of Computers in Mathematics and Science Teaching, 22(2), 151-168. (452, 4520)

Jafer, Y. J. (2003). The effects of computer-assisted instruction on fourth-grade students’ achievement and attitudes toward desert issues. Unpublished Ph.D., Utah State University, United States – Utah. (7)

Johnson, R. T., Johnson, D. W., Scott, L. E., & Ramolae, B. A. (1985). Effects of single-sex and mixed-sex cooperative interaction on science achievement and attitudes and cross-handicap and cross-sex relationships. Journal of Research In Science Teaching, 22(3), 207-220. (285)

Kariuki, P., & Paulson, R. (2001, November 14-17). The effects of computer animated dissection versus preserved animal dissection on the student achievement in a high school biology class. Paper presented at the Annual Conference of the Mid-South Educational Research Association, Little Rock, AK. (ERIC Document Reproduction Service No. ED460018). (467)

Kim, N. B. (1997). A comparison of the effects of computer-enhanced with traditional instruction on the

learning outcomes of high-school students in anatomy classes. Unpublished Ph.D., University of Pittsburgh, United States – Pennsylvania. (39)

Kremer, P. L. (1983). Effects of individualized assignments on biology achievement. Journal of Research In Science Teaching, 20(2), 105-115. (170)

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Lavoie, D. R. (1999). Effects of emphasizing hypothetico-predictive reasoning within the science learning cycle on high school student’s process skills and conceptual understandings in biology. Journal of Research in Science Teaching, 36(10), 1127-1147. (64)

Long, J. C., Okey, J. R., & Yeany, R. H. (1981). The effects of a diagnostic-prescriptive teaching strategy on student achievement in biology. Journal of Research In Science Teaching, 18(6), 515-523. (455, 456)

Louden, C. K. (1997). Teaching strategies and student achievement in high school block scheduled biology classes. Unpublished Ph.D., The University of North Carolina at Chapel Hill, United States – North Carolina. (41)

Matthews, D. R., & McLaughlin, T. F. (1994). Effects of learner-centered laboratory activities on achievement and students preferences in 2 high-school biology courses. Perceptual and Motor Skills, 78(1), 285-286. (247)

Marszalek, C. S. (1998). Effects on seventh-grade students’ achievement and science anxiety of alternatives to conventional frog dissection. Unpublished Ed.D., Northern Illinois University, United States – Illinois. (47, 470)

Marx, R. W., Blumenfeld, P. C., Krajcik, J. S., Fishman, B., Soloway, E., Geier, R., et al. (2004). Inquiry-based science in the middle grades: Assessment of learning in urban systemic reform. Journal of Research in Science Teaching, 41(10), 1063-1080. (78, 780, 781, 782)

McManus, D. O., Dunn, R., & Denig, S. (2003). Effects of traditional lecture versus teacher-constructed & student-constructed self-teaching instructional resources on short-term science achievement & attitudes. American Biology Teacher, 65(2), 93-102. (229)

Orehowsky, W. (1999). The effect of laboratory-based instruction and assessment on student attitudes toward the laboratory experience and achievement in chemistry at the high school level. Unpublished Ed.D., Temple University, United States – Pennsylvania. (36)

Osman, M. E., & Hannafin, M. J. (1994). Effects of advance questioning and prior knowledge on science learning. Journal of Educational Research, 88(1), 5-13. (70)

Pallant, A., & Tinker, R. (2004). Reasoning with atomic-scale molecular dynamic models. Journal of Science Education and Technology, 13(1), 51. (75, 750)

Purser, R. K., & Renner, J. W. (1983). Results of two tenth-grade biology teaching procedures. Science Education, 67(1), 85-98. (433)

Riley, J. P. (1986). The effects of teachers wait-time and knowledge comprehension questioning on science achievement. Journal of Research In Science Teaching, 23(4), 335-342. (281, 2810)

Roberts, P. H. (1999). Effects of multisensory resources on the achievement and science attitudes of seventh-grade suburban students taught science concepts on and above grade level. Unpublished Ed.D., St. John’s University (New York), United States – New York. (33)

Romance, N. R., & Vitale, M. R. (1992). A curriculum strategy that expands time for in-depth elementary science instruction by using science-based reading strategies: Effects of a year-long study in grade four. Journal of Research in Science Teaching, 29(6), 545-554. (439)

Rose-Baele, J. S. (2003). Report of Fifth Grade Outcome Study, Science For All Students, 2001-2002. Retrieved June 6, 2005, from http://www.ccsdschools.com/administration/assessment/PIpage.html (150)

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Saunders, W. L., & Shepardson, D. (1987). A comparison of concrete and formal science instruction upon science achievement and reasoning ability of 6th grade students. Journal of Research in Science Teaching, 24(1), 39-51. (90)

Schneider, L. S., & Renner, J. W. (1980). Concrete and formal teaching. Journal of Research in Science Teaching, 17(6), 503-517. (434)

Sherris, J. D., & Kahle, J. B. (1984). The effects of instructional organization and locus of control orientation on meaningful learning in high school biology students. Journal of Research In Science Teaching, 21(1), 83-94. (451)

Songer, N. B., Lee, H. S., & McDonald, S. (2003). Research towards an expanded understanding of inquiry science beyond one idealized standard. Science Education, 87(4), 490-516. (142, 1420)

Turpin, T. J. (2000). A study of the effects of an integrated, activity-based science curriculum on student achievement, science process skills, and science attitudes. Unpublished Ed.D., University of Louisiana at Monroe, United States – Louisiana. (29)

Yager, R. E. (1989). Comparison of standard student performance when science study is organized around typical concepts. Bulletin of Science, Technology, & Society, 9, 171-181. (98)

Yager, R. E., & Weld, J. D. (1999). Scope, sequence and coordination: The Iowa Project, a national reform effort in the USA. International Journal of Science Education, 21(2), 169-194. (369)

* Number in parentheses at end of citation is study number.

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Appendix A Web Sites and Search Terms

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Web Sites

Berkeley National Laboratory (http://www.lbl.gov/Science-Articles/) Department of Education (http://www.ed.gov/index.jhtml) National Academies (http://www.nas.edu/) National Science Resources (http://www.nsrconline.org/) American Association for the Advancement of Science (AAAS)

(http://www.aaas.org/programs/education/) Education Development Center (http://main.edc.org/) National Science Teachers Association (http://www.nsta.org/resources) Department of Education Expert Panel on Mathematics and Science Education

(http://www.ed.gov/offices/OERI/ORAD/KAD/expert_panel/newscience_progs.html)

Search Terms

authentic science & achievement authentic science & student achievement authentic science & student outcomes authentic science & student performance biology & achievement biology & student achievement biology & student outcomes biology & student performance chemistry & achievement chemistry & student achievement chemistry & student outcomes chemistry & student performance constructivis* & science & student outcomes constructivis* & science & teaching constructivis* & science & teaching & achievement constructivist & science constructivist & science & student achievement constructivist science & achievement constructivist science & student achievement constructivist science & student outcomes constructivist science & student progress discovery learning & achievement discovery learning & student achievement earth & student achievement earth & student achievement & science earth & student outcomes earth & student outcomes & science earth & student performance earth & student performance & science earth science & achievement ecology & student achievement ecology & student outcomes ecology & student outcomes & science ecology & student performance elementary school science & achievement environmental education and student*

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environmental science and student performance environmental science and student performance hands-on science & achievement hands-on science & outcome* hands-on science & performance hands-on science & student achievement hands-on science & student outcome* hands-on science & student performance middle school science & achievement physic* & student achievement physic* & student achievement & science physic* & student outcomes physic* & student outcomes & science physic* & student performance physic* & student performance & science physic* science & achievement physics & achievement professional development & achievement & science professional development & science professional development & science teaching professional development & student achievement & science science & achievement science & class* performance science & curriculum assessment science & education & treatment & control & (achievement or outcome* or success) science & student achievement science & student outcome science & student performance science & student progress science & student success science education & achievement science education & curriculum assessment science education & progress science education & student achievement science education & student outcome science education & student performance science education & student progress science education & student success science learning & achievement science learning & student achievement science learning & student outcome teaching methods & science & achievement teaching methods & science achievement

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Appendix B Bibliography of Studies and Articles

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Abraham, M. R., & Renner, J. W. (1986). The sequence of learning cycle activities in high school

chemistry. Journal of Research In Science Teaching, 23(2), 121-143.

Adamson, S. L., Banks, D., Burtch, M., Cox, F., Judson, E., Turley, J. B., et al. (2003). Reformed undergraduate instruction and its subsequent impact on secondary school teaching practice and student achievement. Journal of Research In Science Teaching, 40(10), 939-957.

Akpan, J. P., & Andre, T. (1999). The effect of a prior dissection simulation on middle school students' dissection performance and understanding of the anatomy and morphology of the frog. Journal of Science Education and Technology, 8(2), 107-121.

Akpan, J. P., & Andre, T. (2000). Using a computer simulation before dissection to help students learn anatomy. Journal of Computers in Mathematics and Science Teaching, 19(3), 297-313.

Aleven, V. A. W. M. M., & Koedinger, K. R. (2002). An effective metacognitive strategy: Learning by doing and explaining with a computer-based Cognitive Tutor. Cognitive Science, 26(2), 147-179.

Alparslan, C., Tekkaya, C., & Geban, O. (2003). Using the conceptual change instruction to improve learning. Journal of Biological Education, 37(3), 133-137.

Amaral, O. M., Garrison, L., & Klentschy, M. (2002). Helping English learners increase achievement through inquiry-based science instruction. Bilingual Research Journal, 26(2), 213-239.

Anderson, R. D. (1983). A consolidation and appraisal of science meta-analyses. Journal of Research In Science Teaching, 20(5), 497-509.

Anderson, R. D., Kahl, S. R., Glass, G. V., & Smith, M. L. (1983). Science education: A meta-analysis of major questions. Journal of Research In Science Teaching, 20(5), 379-385.

Andre, T., & Ding, P. (1991). Student misconceptions, declarative knowledge, stimulus conditions, and problem solving in basic electricity. Contemporary Educational Psychology, 16(4), 303-313.

Baker, D. R. (1991a). Process skills acquisition, cognitive growth, and attitude change of ninth grade students in a scientific literacy course. Journal of Research In Science Teaching, 28(5), 423-436.

Baker, D. R. (1991b). A summary of research in science-education - 1989. Science Education, 75(3), R5-402.

Baker, T. R. (2002). The effects of geographic information system (GIS) technologies on students' attitudes, self-efficacy, and achievement in middle school science classrooms. Unpublished Ph.D., University of Kansas, United States -- Kansas.

Baker, T. R., & White, S. H. (2003). The effects of GIS on students' attitudes, self-efficacy, and achievement in middle school science classrooms. Journal of Geography, 102(6), 243-254.

Bandlow, R. J. (2001). The misdirection of middle school reform. Clearing House, 75(2), 69-73.

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Appendix C

Literature Coding Document

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CODING OF LITERATURE FOR SCIENCE INITIATIVE META-ANALYSIS 1-3 Study number & citation

4. Pub type: 1 Refereed Jour. Art. 2 Dissertation 3 Unpub. Report 4 Conference paper 5. Type of study: 1 Experimental (complete randomization) 2 Quasi –experimental (randomization used) 3 Quasi-experimental (no randomization) 4 Correlational Test Name #of

items Content Area(s)

6.Dep. Var.: 1 National Standardized Multiple Science content __________ ____ ______ 2 National Standardized Single Science content __________ ____ ______ 3 Local Standardized Multiple Science Content __________ ____ ______ 4 Local Standardized Single Science Content __________ ____ ______ 5Other type test __________ ____ ______

7. Ind. Var.: TRT. Name ___________________________________________________________

TRT. Description_______________________________________________________ TRT vs ______________________________________________________________ Course __________________

8. Length of TRT: Months Years

9. Setting & Characteristics: A. School (s): # of schools___, Selected at random? 1 Yes 2 No, Unit of analysis? 1 Yes 2 No

1 Public 2 Private, 1 Urban 2 Rural 1 Small (n=______), 2 Med (n=____), 3 Lrg (n=____) % Free Lunch

B. Students: # of students ___, Selected at random? 1 Yes 2 No Assigned at random? 1 Yes 2 No, Unit of analysis? 1 Yes 2 No 1 Mixed Gender 2 all Female 3 all Male 1 Same Grade 2 Multiple Grades Grade ____ n=___, Grade ___ n=__, Grade ___ n=___, Grade___ n=__ 1 Mixed Ethnicity 2 Single ethnic grp 1 Mixed Socio 2 Single Socio, Primary Socio Status_____________________

C. Teacher(s): # of teachers _________, 1 volunteer 2 selected

Teacher(s) description: Age/Exp Gender Certification

10. Study results: Effect size (s) ____, p(s) __, t(s) __ , F(s) ___, Eta Square(s) ___ Omega Square(s) ___ 11. Study rating: 1 True random assignment of schools/students to TRT and Control

2 Quasi-experimental with match of schools/students to achievement and demographics of comparison school

3 Quasi-experimental with covariate adjustment for prior achievement 4 Quasi-experimental comparison of schools/subjects based on a claim of similar 5 Quasi-experimental comparison of schools/subjects to region, state, or national

data 6 Quasi-experimental single-group pre-post comparison 7 Quasi-experimental treatment vs. control pre-posttest 8 Quasi-experimental multiple group ANOVA

12. Notes/comments:

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Appendix D Treatment Description Category Classification Form

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Study Treatment Category Rating

Study Number: __________ Judge: 1, 2, 3 1: unknown or not mentioned 2: mentioned 3: a small portion of the treatment 4: moderate portion of the treatment 5: largest portion of the treatment

Criteria 1 2 3 4 5 1. Questioning strategies

2. Focusing strategies

3. Manipulation strategies

4. Enhanced materials strategies

5. Testing strategies

6. Inquiry strategies

7. Enhanced context strategies

8. Instructional technology strategies

9. Direct instruction for teaching process skills

10. Collaborative learning strategies

Notes/comments:

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Appendix E Treatment Description Summaries

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Summary of Treatment Description

#1 Treatment Name web-based, constructivist-oriented homework assignment. Treatment description web-enhanced assignments covering DNA structure and function, Genetics and Microbiology Members of the experimental group participated in online homework activities for approximately eight weeks. The activities included participation in (a) online simulations, (b) asynchronous discussions, (c) Webquests, (d) cooperative concept map construction activities using synchronous chat technology, (e) online quizzes, and (f) personal, biweekly journaling activities. #4 Treatment Name Studio Model (both synchronously & asynchronously) Treatment description Studio Model and the use of supplemental on line materials/Tech & cooperative groups There are two characteristics surrounding the usage of the Studio Model. The first is the use of the technology (both synchronously and asynchronously) to give students the ability or means to see concepts or materials in multiple perspectives. The second is the integration of cooperative group activities. The cooperative group structure used for this study was the Student Team-Achievement Division (STAD). #6 Treatment Name The University of Alabama's Integrated Science (IS) Program enhanced with PowerPoint technology Treatment description The University of Alabama's Integrated Science Program enhanced with PowerPoint technology. Resources provided by the IS program include telecasts, teacher manuals, student books, science kits, and teacher professional development. #609 Treatment Name The University of Alabama's Integrated Science Program (IS) Treatment description The University of Alabama's Integrated Science Program (IS) Resources provided by the IS program include telecasts, teacher manuals, student books, science kits, and teacher professional development. #7 Treatment Name Computer-assisted instruction (CAI) Treatment description Computer software for animal and plants adaptation in desert. The Digital Field Trip to the Desert (2000) simulation software, designed by Digital Frog International Inc., on fourth-grade students’ achievement and attitudes toward desert issues. The software is designed as a tool that may be used by students individually or in small groups at their own pace with minimum amount of supervision. #21 Treatment Name Constructivist Based Instruction Treatment description Constructivist based instruction--application of students’ prior knowledge; human experiences and values, both culturally and socially determined, were incorporated into the classroom; student empowerment; critical thinking; opportunities were given students to exercise a degree of control over their learning environment; enable students to evaluate their own conceptual development.

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#25 Treatment Name Web-Based Physics Software Program Treatment description Web-Based Physics Software Program "The Physics Classroom". This program consists three modules or sections: study topics, multimedia section, and quiz room. The multimedia section contains many animations. These animations visualize many ideas and misconceptions in order to make learning easy and dispel many preconceptions. The quiz room contains many quizzes related to study topics and gives deep understanding of each lesson. Each question in the quiz has a link to the related lesson if there is problem with understanding or solving this question. The web-based physics program was incorporated with the normal lecture. 30% of class time was allocated to using this tutorial program, and 70% of class time was used for normal lecture. #29 Treatment Name Integrated Science (IS) Curriculum Program Treatment description integrated, activity-based science curriculum. Resources provided by the IS program include telecasts, teacher manuals, student books, science kits, and teacher professional development. #30 Treatment Name Dynamic particle models--both static & dynamic Treatment description Computer assisted instruction Cooperative learning group analysis and teacher-directed class discussion. Dynamic class used both static and dynamic particle models and explanations in dynamic classes. Dynamic classes acted out particle motion. Dynamic classes watched particle movement and collisions illustrated with computer animations. #300 Treatment Name Dynamic particle models--both static & dynamic Treatment description Computer assisted instruction Cooperative learning group analysis and teacher-directed class discussion. Dynamic class used both static and dynamic particle models and explanations in dynamic classes. Dynamic classes acted out particle motion. Dynamic classes watched particle movement and collisions illustrated with computer animations. #32 Treatment Name Multiple teaching strategies Treatment description Multiple teaching strategies (teachers modify their teaching style to fit the many different types of students) The teachers were trained in the use of learning activities that require the utilization of four or more teaching strategies in class on a regular basis. Those strategies include activities such as simulations, role-playing, use of manipulative, computer, or other learning activities. #33 Treatment Name Multisensory instruction

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Treatment description instructional strategy and student's perceptual preferences The multisensory unit included five instructional stations established in different sections of the classroom to allow students to learn by: (a) manipulating Flip Chutes, (b) using Electroboards, (c) assembling Task Cards, (d) playing a kinesthetic Floor Game, (e) reading an individual Programmed Learning Sequence. Audio tapes and scripts were provided at each section. Students circulated in groups of four from station to station. Students reviewed with the multisensory resources for 15 minutes prior to the posttest. #36 Treatment Name Laboratory experiences Treatment description the use of laboratory experiences to introduce classroom discussion and included lab-based performance activities to assess achievement The laboratory activities presented a question and required that the student provide an answer to that question based on the collection and analysis of data. Emphasis was placed on the need to record accurate descriptions and measurements and to analyze data mathematically and graphically. #38 Treatment Name Constructivist informed pedagogy Treatment description Constructivist informed pedagogy manipulative The constructivist teacher employed a lesson plan that was less didactic and used cooperative learning groups. Open-ended laboratory investigations, a high amount of technology, and a higher amount of student-initiated dialog among themselves as well as with the instructor. The constructivist teacher was also concerned with the identification of misconceptions, the use of probing questioning, and the learning cycle. Constructivist learning can be equated with the student’s gaining a higher level of inquiry regarding the work of science, connecting science with their own lives, and grasping main science concepts. #39 Treatment Name Computer-enhanced instruction (CEI) Treatment description Computer-enhanced instruction (CEI) using A.D.A.M. The Inside Story (1997) anatomy software. Students in the CEI class used A.D.A.M. The Inside Story (1997) software and worked in groups of three at the computers during normal class time. Students in both treatment and control classes received the same lectures, textbook reading assignments, study guides, prepared notes, and written assignments. In contrast to the control group class where the teacher functioned primarily as a disseminator of knowledge, the teacher functioned more as a facilitator in the CEI class. #41 Treatment Name Inquiry-based instruction Treatment description Predominately inquiry-based instruction Inquiry is a multifaceted activity that involves making observations; posing questions; examining books and other sources of information to see what is already known; planning investigations; reviewing what is already known in light of experimental evidence; using tools to gather, analyze, and interpret data; proposing answers, explanations, and predictions; and communicating the results. Teachers in non-block scheduled schools assigned more extended projects and student research; discuss their ideas and opinions. Teacher used cooperative learning and small group work more frequently in block scheduled classes.

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#47 Treatment Name Interactive CD tutorial Treatment description CD tutorial for frog dissection Digital Frog is an interactive CD-ROM that incorporates full-motion video, animations, sounds, narration, in-depth text, full color photographs and a comprehensive workbook in three modules – Dissection; Anatomy, and Ecology. The dissection module uses a tutorial approach with the dissection proceeding in a step by step presentation manner. User can access multimedia files to view a frog dissection being performed, but does not actually “perform” a dissection themselves. #470 Treatment Name Desktop Microworld Treatment description CD tutorial for frog dissection The Desktop Microworld environment was built around Operation Frog on CD with other programs serving as auxiliary forms of instructional delivery. Operating Frog contains a tutorial simulation of the dissection of a frog, male or female. Operation Frog allows students to actually perform the dissection, not just view it. #48 Treatment Name Technology (GIS)-supported mapping Project Based Learning (PBL) unit Treatment description PBL, used GIS mapping technology for data analysis. The control group used a PBL science unit with paper mapping to support data analysis activities, while the experimental group used a PBL-GIS model. Experimental classrooms used ESRI’s ArcExplorer II as a desktop GIS application, with base data (roads, rails, hydrography, and airports) identical to the control group. All experimental classrooms had equal access to technology and related materials in a single, communal lab. #50 Treatment Name Scientific Writing Heuristic (SWH) Treatment description Students used the SWH student templates to guide their written work for laboratory activities. (writing format for 3 lab activities; meaning-making pedagogy) #500 Treatment Name Scientific Writing Heuristic and Textbook group (STG) Treatment description Students in these sections used the SWH for their laboratory activities; however, their written project to summarize the practical activities was different. They were asked to write their summary in the form of a textbook explanation for their peers. (writing format for 3 lab activities; meaning-making pedagogy) #57 Treatment Name Integrated Video Media Treatment description Integrated video media-World of Chemistry. These micro-units include teacher lesson guides associated with each 30-min World of Chemistry videotape designed to enable the teacher to stop the videotape approximately every 5-7 min for a teacher-student question-answer interaction time. #60 Treatment Name Design-Based Science (DBS)

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DBS has much in common with other inquiry-based programs. Treatment description Students engaging in design projects to learn science: Extreme structures #600 Treatment Name Design-Based Science (DBS) DBS has much common with other inquiry-based programs. Treatment description Students engaging in design projects to learn science: Environmentally safe batteries #601 Treatment Name Design-Based Science (DBS) DBS has much common with other inquiry-based programs. Treatment description Students engaging in design projects to learn science: Safer celluar phones #64 Treatment Name HPD-LC (hypothetico-prediction-discussion learning cycle) Treatment description Adding a prediction/discussion phase to learning cycle. Two hypothetico-predictive problem sheets were prepared for each HPD-LC lesson. Each sheet required the student to make prediction in writing or graphically, and to support it with an explanatory reason (i.e., hypothesis), also in writing. #70 Treatment Name advance questioning Treatment description Basic lesson (B), Basic + orienting questions (B+Q), Basic+orienting questions+rationale (B+Q+R) conceptual orienting questions plus rationale. #75 Treatment Name Molecular Workbench (a two-dimensional molecular dynamics application written in Java software) molecular dynamic system vs. Pedagogica, a control environment Treatment description online molecular dynamics mode: States of Matter #750 Treatment Name Molecular Workbench molecular dynamic system Vs. Pedagogica, a control environment Treatment description online molecular dynamics mode: Atoms in Motion #78 Treatment Name Center for Learning Technologies in Urban Schools (LeTUS) Treatment description Inquiry-based and technology-infused curriculum units (standards based curriculum, prof. developed, 4 units taught): Air #780 Treatment Name Center for Learning Technologies in Urban Schools (LeTUS)

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Treatment description Inquiry-based and technology-infused curriculum units (standards based curriculum, prof. developed, 4 units taught): Water #781 Treatment Name Center for Learning Technologies in Urban Schools (LeTUS) Treatment description Inquiry-based and technology-infused curriculum units (standards based curriculum, prof. developed, 4 units taught): Helmets #782 Treatment Name Center for Learning Technologies in Urban Schools (LeTUS) Treatment description Inquiry-based and technology-infused curriculum units (standards based curriculum, prof. developed, 4 units taught): Big Things #90 Treatment Name Concrete (hands-on) instruction vs. formal instruction Treatment description Concrete instruction was organized around the learning cycle approach and involved an emphasis upon hands-on activities; three phases: exploration, conceptual invention, and discovery (or application). #91 Treatment Name HASP (Hands-on Activity Science Program) inquiry-based program Treatment description Incorporated exemplary curriculum using modules, Full Option Science System (FOSS), incorporating manipulatives into elementary science #98 Treatment Name Science/Technology/Society (STS) format Treatment description Use societal issues as organizers for their study; study science in more community/citizenship activities rather than focus on knowledge and process #142 Treatment Name Kids as Global Scientists Weather (KGS) Program consists of a systematic, curricular approach to fostering students’ deep conceptual understanding of weather content Treatment description The use of a suite of learning tools designed specifically with inquiry science in mind. Tools include KGS curriculum, KGS software. (Urban teachers) #1420 Treatment Name Kids as Global Scientists Weather (KGS) Program consists of a systematic, curricular approach to fostering students’ deep conceptual understanding of weather content Treatment description The use a suite of learning tools designed specifically with inquiry science in mind. Tools include KGS curriculum, KGS software. (Maverick teachers)

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#150 Treatment Name “Local Systemic Change Initiatives” (LSC) Treatment description Professional development (changing teaching practices, strengthening teacher content knowledge, and providing hands-on science materials for classrooms) , hands-on act, kits #166 Treatment Name Level of group cooperation Treatment description Cooperative goal structure (role assignment & nonrole assignment) For the role assignment group, each student was assigned a specific role (i.e., manager, investigator, and recorder) but students in both traditional and nonrole assignment groups were not assigned a role. #170 Treatment Name Detailed assignments Treatment description Detailed assignments (favoring field independence and induction) employed block diagrams and stepwise direction. Nondetailed assignments (favoring field dependence and deduction) virtually lacked these. #229 Treatment Name Alternative science teaching methods Treatment description Traditional (lecture, drill, practice) vs. teacher-constructed self-teaching manipulatives vs. student-constructed self-teaching manipulatives #245 Treatment Name Instructional Strategy change Treatment description Middle school interdisciplinary team strategy #247 Treatment Name Hands-on lab activities Treatment description Cell biology unit with hands-on lab activities #276 Treatment Name Hands-on laboratory method Treatment description Students manipulated lab apparatus in small groups #278 Treatment Name Resequencing general science content Treatment description Revising the order of textbook chapters, in order to clarify content structure and establish interrelationships among major concepts. (content arranged into interrelated pattern) #281 Treatment Name Wait-time after teacher questioning

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Treatment description Teachers assigned wait-times of 1, 3, & 5 sec. #2810 Treatment Name Wait-time after teacher questioning Treatment description Teachers assigned wait-times of 1, 3, & 5 sec. #285 Treatment Name Single-sex & mixed sex cooperative interaction Treatment description In the cooperative conditions, subjects were instructed to work together as a group, completing the task as a group with all members sharing one set of materials and helping each other. They were instructed to make sure that each member was involved, and that they should check to make sure every member knew the materials and could explain the answers on the group’s data sheets. #369 Treatment Name Scope, Sequence and Coordination (SS&C) project Treatment description Extension from Chautauqua Model, constructivist learning model (CLM): invitation phase, exploration phase, coordination, implementation phase. integrated science; hands-on/minds-on ; problem centered #433 Treatment Name Concrete Instruction (learning cycle) First-hand experience Treatment description During the exploration phase of the learning cycle, students were usually provided with concrete materials and written directions for their use in gathering data about the concept to be learned. These direction sheets provided guidelines to help the students observe, compare, measure, and experiment, as they interacted with the selected concrete materials. #434 Treatment Name Concrete-the learning cycle inquiry Treatment description The instruction of the inquiry group was based upon the teaching concept designed and implemented by the Science Curriculum Improvement Study and called the learning cycle. Hands-on exploration, conceptual invention, discovery. #439 Treatment Name Science-Based Reading Strategies Treatment description Teachers implemented an in-depth science teaching program by expanding the lesson plans in their science textbook, Journeys in Science, to emphasize an integrated approach to science concept instruction through hands-on science activities, science process skills, and science textbook/ tradebook reading assignments. #448 Treatment Name Supported Inquiry Science (SIS), constructivist learning theory Treatment description

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SIS principles: 1. provide a safe environment for expressing emerging or divergent ideas. 2. Design curricula and instruction to focus on a unifying concept. 3. Elicit students’ alternative conceptions and provide opportunities for them to examine conflicting evidence and reconstruct their ideas over time. 4. Use recursive, whole-class coaching to help students elaborate and revise their understanding. 5. Integrate opportunities for students to work with new material individually as well as in whole-class and small-group work. 6.~8. #451 Treatment Name Concept Relatedness Treatment description Instructional materials consisted of an explicit study, a reading supplement, and an activities supplement. The experimental study guide began with an introduction which explained how concepts and principles are important in the learning process and how to prepare a concept map. In addition, it included conceptual cues which reminded students of the importance of major concepts to related activities and readings. #452 Treatment Name Constructing Physics Understanding Project (CPU): Lead CPU Students Treatment description Computer-based modular curriculum activities: The CPU project produced modular content units and computer software, to support an environment where students, individually, in small groups, and as a whole class construct knowledge in physics. #4520 Treatment Name Constructing Physics Understanding Project (CPU): Beginning CPU studens Treatment description Computer-based modular curriculum activities: The CPU project produced modular content units and computer software, to support an environment where students, individually, in small groups, and as a whole class construct knowledge in physics. #455 Treatment Name Diagnostic-Prescriptive Teaching Treatment description Teacher-managed diagnostic-prescriptive assistance: Using progress checks (diagnostic tests) and review activities (prescriptive remediation) developed for this study. #457 Treatment Name Modified Mastery Learning strategy Treatment description Instruction for all classes was characterized by a blend of lecture, question-answer sessions, laboratory work, demonstrations, and audio-visual materials. Teacher-directed remediation and student-directed remediation (diagnostic quizzes and remediation activities). #467 Treatment Name Computer-animated dissection techniques Treatment description Use CD-ROM dissection tool "Dissection Works" #468 Treatment Name Full Option Science System (Foss)

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Treatment description Use science manipulatives, hands-on/minds-on activities #475 Treatment Name Simulation before dissection (SBD) vs. dissection only (DO) Treatment description Combinations of actual & simulated frog dissection

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Appendix F Comprehensive Meta-Analysis Output

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Appendix G Regression Output

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Regression without Length of Treatment

Variables Entered/Removedb

PublicationYear,DependentVariable,gradescode, PublishType,TreatmentCategories, StudyRating,Type ofstudy, TestContentcode

a

. Enter

Model1

VariablesEntered

VariablesRemoved Method

All requested variables entered.a.

Dependent Variable: Effect Sizeb.

Model Summary

.409a .167 .039 .722334Model1

R R SquareAdjustedR Square

Std. Error ofthe Estimate

Predictors: (Constant), Publication Year, DependentVariable, gradescode, Publish Type, TreatmentCategories, Study Rating, Type of study, Test Contentcode

a.

ANOVAb

5.451 8 .681 1.306 .261a

27.132 52 .52232.583 60

RegressionResidualTotal

Model1

Sum ofSquares df Mean Square F Sig.

Predictors: (Constant), Publication Year, Dependent Variable, gradescode, PublishType, Treatment Categories, Study Rating, Type of study, Test Content code

a.

Dependent Variable: Effect Sizeb.

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Coefficientsa

.533 .874 .609 .545

.193 .183 .151 1.052 .297

.111 .235 .067 .474 .638

.012 .046 .036 .254 .801-.294 .185 -.233 -1.591 .118-.090 .070 -.181 -1.279 .207.028 .064 .064 .438 .663.040 .081 .066 .488 .628.062 .089 .117 .696 .489

(Constant)Type of studygradescodeTreatment CategoriesPublish TypeStudy RatingTest Content codeDependent VariablePublication Year

Model1

B Std. Error

UnstandardizedCoefficients

Beta

StandardizedCoefficients

t Sig.

Dependent Variable: Effect Sizea.

Regression with Length of Treatment

Variables Entered/Removedb

Length ofTRT(month),TreatmentCategories,gradescode, Type ofstudy,PublishType,StudyRating,TestContentcode,DependentVariable,PublicationYear

a

. Enter

Model1

VariablesEntered

VariablesRemoved Method

All requested variables entered.a.

Dependent Variable: Effect Sizeb.

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Model Summary

.441a .195 .018 .653986Model1

R R SquareAdjustedR Square

Std. Error ofthe Estimate

Predictors: (Constant), Length of TRT (month),Treatment Categories, gradescode, Type of study,Publish Type, Study Rating, Test Content code,Dependent Variable, Publication Year

a.

ANOVAb

4.243 9 .471 1.102 .383a

17.536 41 .42821.778 50

RegressionResidualTotal

Model1

Sum ofSquares df Mean Square F Sig.

Predictors: (Constant), Length of TRT (month), Treatment Categories, gradescode,Type of study, Publish Type, Study Rating, Test Content code, Dependent Variable,Publication Year

a.

Dependent Variable: Effect Sizeb.

Coefficientsa

.693 1.064 .652 .518

.177 .175 .157 1.012 .317-.092 .234 -.061 -.393 .696-.017 .045 -.057 -.387 .701-.132 .181 -.122 -.731 .469-.095 .082 -.191 -1.157 .254-.023 .072 -.056 -.314 .755.077 .108 .137 .714 .479.034 .093 .071 .364 .718.063 .041 .342 1.532 .133

(Constant)Type of studygradescodeTreatment CategoriesPublish TypeStudy RatingTest Content codeDependent VariablePublication YearLength of TRT (month)

Model1

B Std. Error

UnstandardizedCoefficients

Beta

StandardizedCoefficients

t Sig.

Dependent Variable: Effect Sizea.

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Appendix H Formulas

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1. ScXXES CT −= where pre-tests were assumed to provide equivalent groups

XE = mean of experimental group (post-test) XC = mean of control group (post-test) SC = standard deviation of control group

2. Hedge’s d used in Comprehensive Meta-Analysis software

P

CT

SXXES −

= where ( ) ( )

211 22

2

−+−+−

=CT

CCTTP nn

SnSnS

3. n

tES 2= for nT=nC=n; n = sample size of each group

4. CT nn

tES 11+= for unequal ns

5. CT

CT

nnnn

FES+

=

6. ⎥⎦⎤

⎢⎣⎡

−−=

9431'N

ESES small sample size (N<30) adjusted with bias correction formula

7. ( )( )21

2

21

21

2 nnES

nnnn

se+

++

=

8. 2

1se

w =

9. Weighted average effect size: ( )∑

∑ ×=

wESw

ES

10. Stander Error (se) of the ES , ∑

=w

seES

1

11. Z-test for the ES , ES

seESZ =

12. 95% Confidence Interval

( )ES

seESLower 96.1−=

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( )ES

seESUpper 96.1+=

13. Testing Homogeneity of Effect Size

WBT QQQ +=

( )∑=

−=k

iiiT ESESwQ

1

2.

( )2.... ESESwQ jjB −= ∑ 14. Failsafe N or Nfs

( )

C

Cfs ES

ESESNN −= where N= # of studies in the meta-analysis

=ES average ES for the studies in the meta-analysis

=CES criterion ES


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