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    COMPETENCY-BASED

    ASSESSMENT AND EVALUATION

    DACUM SERIES 3

    ROBERTO N. PADUA

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    LECTURE 1: TYPES OF ASSESSMENT

    A norm-referenced test (NRT) is a typeof test, assessment, or evaluation which yields anestimate of the position of the tested individual in apredefined population, with respect to the trait being

    measured. This estimate is derived from the analysis oftest scores and possibly other relevant data froma sample drawn from the population. That is, this typeof test identifies whether the test taker performedbetter or worse than other test takers, but not

    whether the test taker knows either more or lessmaterial than is necessary for a given purpose.

    http://en.wikipedia.org/wiki/Test_(student_assessment)http://en.wikipedia.org/wiki/Educational_assessmenthttp://en.wikipedia.org/wiki/Evaluationhttp://en.wikipedia.org/wiki/Evaluationhttp://en.wikipedia.org/wiki/Test_(student_assessment)http://en.wikipedia.org/wiki/Educational_assessmenthttp://en.wikipedia.org/wiki/Evaluationhttp://en.wikipedia.org/wiki/Sample_(statistics)http://en.wikipedia.org/wiki/Sample_(statistics)http://en.wikipedia.org/wiki/Sample_(statistics)http://en.wikipedia.org/wiki/Evaluationhttp://en.wikipedia.org/wiki/Educational_assessmenthttp://en.wikipedia.org/wiki/Test_(student_assessment)
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    Norm-referenced assessment can be

    contrasted with criterion-referenced

    assessment and ipsative assessment. In a

    criterion-referenced assessment, the score

    shows whether or not the test takers

    performed well or poorly on a given task, but

    not how that compares to other test takers; inan ipsative system, the test taker is compared

    to his previous performance.

    http://en.wikipedia.org/wiki/Criterion-referenced_assessmenthttp://en.wikipedia.org/wiki/Criterion-referenced_assessmenthttp://en.wikipedia.org/wiki/Ipsative_assessmenthttp://en.wikipedia.org/wiki/Ipsative_assessmenthttp://en.wikipedia.org/wiki/Ipsative_assessmenthttp://en.wikipedia.org/wiki/Ipsative_assessmenthttp://en.wikipedia.org/wiki/Criterion-referenced_assessmenthttp://en.wikipedia.org/wiki/Criterion-referenced_assessmenthttp://en.wikipedia.org/wiki/Criterion-referenced_assessmenthttp://en.wikipedia.org/wiki/Criterion-referenced_assessmenthttp://en.wikipedia.org/wiki/Criterion-referenced_assessment
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    Robert Glaser originally coined the terms norm-referenced testand criterion-referenced test.

    Standards-based education reform is based on the

    belief that public education should establish whatevery student should know and be able to do. Studentsshould be tested against a fixed yardstick, rather thanagainst each other or sorted into a mathematical bell

    curve. By assessing that every student must pass thesenew, higher standards, education officials believe thatall students will achieve a diploma that prepares themfor success in the 21st century.

    http://en.wikipedia.org/wiki/Standards-based_education_reformhttp://en.wikipedia.org/wiki/Grading_on_a_curvehttp://en.wikipedia.org/wiki/Grading_on_a_curvehttp://en.wikipedia.org/wiki/Grading_on_a_curvehttp://en.wikipedia.org/wiki/Grading_on_a_curvehttp://en.wikipedia.org/wiki/Grading_on_a_curvehttp://en.wikipedia.org/wiki/Standards-based_education_reformhttp://en.wikipedia.org/wiki/Standards-based_education_reformhttp://en.wikipedia.org/wiki/Standards-based_education_reformhttp://en.wikipedia.org/wiki/Standards-based_education_reformhttp://en.wikipedia.org/wiki/Standards-based_education_reformhttp://en.wikipedia.org/wiki/Standards-based_education_reformhttp://en.wikipedia.org/wiki/Standards-based_education_reform
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    USES OF CRITERION-REFERENCED TESTS

    Most state achievement tests are criterionreferenced. In other words, a predeterminedlevel of acceptable performance is developedand students pass or fail in achieving or not

    achieving this level. Tests that set goals forstudents based on the average student'sperformance are norm-referenced tests. Teststhat set goals for students based on a set

    standard (e.g., 80 words spelled correctly) arecriterion-referenced tests.

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    CRITERION-

    REFERENCED=COMPETENCY-BASED

    Competency-Based Assessment = Criterion-

    Referenced Assessment

    We DO NOT use the Normal Curve here.

    University will base the criterion on CHEDs

    policies and standards for specific disciplines.

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    Test-takers cannot "fail" a norm-referenced

    test, as each test-taker receives a score that

    compares the individual to others that have

    taken the test, usually given by a percentile.

    This is useful when there is a wide range of

    acceptable scores that is different for each

    college. .

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    IN THE U.S. OF A

    By contrast, nearly two-thirds of US high schoolstudents will be required to pass a criterion-

    referenced high school graduation examination. Onehigh fixed score is set at a level adequate for universityadmission whether the high school graduate is collegebound or not. Each state gives its own test and sets itsown passing level, with states like Massachusetts

    showing very high pass rates, while in WashingtonState, even average students are failing, as well as 80percent of some minority groups. This practice isopposed by many in the education community such asAlfie Kohn as unfair to groups and individuals who

    don't score as high as others

    http://en.wikipedia.org/wiki/High_school_graduation_examinationhttp://en.wikipedia.org/wiki/High_school_graduation_examinationhttp://en.wikipedia.org/wiki/Alfie_Kohnhttp://en.wikipedia.org/wiki/Alfie_Kohnhttp://en.wikipedia.org/wiki/Alfie_Kohnhttp://en.wikipedia.org/wiki/Alfie_Kohnhttp://en.wikipedia.org/wiki/High_school_graduation_examination
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    FUNDAMENTAL ASSESSMENT BELIEF

    IN COMPETENCY-BASED EDUCATION

    A rank-based system only produces data whichtell which average students perform at anaverage level, which students do better, andwhich students do worse.

    This contradicts the fundamental beliefs, whetheroptimistic or simply unfounded, that all willperform at one uniformly high level in a standardsbased system if enough incentives and

    punishments are put into place.

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    This difference in beliefs underlies the most

    significant differences between a traditional

    and a standards based education system.

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    Examples

    IQ tests are norm-referenced tests, because their goalis to see which test taker is more intelligent than the

    other test takers.

    Theater auditions and job interviews are norm-referenced tests, because their goal is to identify the

    best candidate compared to the other candidates, notto determine how many of the candidates meet a fixedlist of standards.

    TOEFL, GRE, APTITUDE TESTS and other such tests arecriterion-referenced tests. There are standards thatshould be met in these tests.

    http://en.wikipedia.org/wiki/IQ_testhttp://en.wikipedia.org/w/index.php?title=Theater_audition&action=edit&redlink=1http://en.wikipedia.org/wiki/Job_interviewhttp://en.wikipedia.org/wiki/Job_interviewhttp://en.wikipedia.org/wiki/Job_interviewhttp://en.wikipedia.org/wiki/Job_interviewhttp://en.wikipedia.org/w/index.php?title=Theater_audition&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Theater_audition&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Theater_audition&action=edit&redlink=1http://en.wikipedia.org/wiki/IQ_testhttp://en.wikipedia.org/wiki/IQ_testhttp://en.wikipedia.org/wiki/IQ_test
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    WORKSHOP 1

    (2 hours)

    A. Answer the following:

    1. Evaluate your current system of assessment inthe University. Is the system criterion-referencedor norm-referenced?

    2. In your daily quizzes, do you adjust the cut-offfor passing? How do you adjust this cut-off score?Why do you adjust the cut-off scores? Is yourattention called if many students fail your

    subject? 3. Cite the advantages and disadvantages of a

    criterion-referenced assessment system.

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    B. The following are average test scores of students over 10quizzes in CALCULUS. There are 100 students. The firstcolumn are the test scores while the second column arethe sorted values (from smallest to highest).

    1. Give six letter grades to the students (A (excellent) toF(fail)) using the mean as basis.

    2. Let the competency criterion be: students fail (F) if theirscores fall below 50. Give the same six letter grades.

    3. Compare the grade distribution in the two cases.(i.e.

    How many got As , Bs, Cs, Ds, Es and Fs?) What is the implication of the shift from norm-referenced

    to criterion referenced grading?

    NOTE: Mean = 26.89, sd = 26.86

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    test score test1

    11.4513 0.0006

    0.0055 0.0015

    0.823 0.0055

    70.2593 0.023

    72.4788 0.0597

    44.6912 0.0938

    51.3586 0.1436

    3.2331 0.1581

    33.837 0.1828

    0.7574 0.4385

    11.2074 0.4855

    2.9996 0.4984

    4.0455 0.618

    53.1852 0.6513

    0.4855 0.6518

    39.1936 0.7574

    37.0756 0.823

    53.974 1.4855

    23.2271 1.584

    0.0938 1.6943

    13.6035 1.695

    73.7325 2.2001

    26.1218 2.2327

    50.7973 2.5885

    70.7066 2.6377

    85.6004 2.9996

    9.7895 3.15

    11.4519 3.2331

    18.7118 3.7615

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    8.7776 4. 0455

    11. 8127 4. 5439

    0.4385 4. 9041

    1.6943 5. 9875

    12. 9613 6. 1109

    2.2327 8. 7776

    9.7632 8. 9835

    16. 5586 9. 7632

    67. 7283 9. 7895

    2.2001 11.2074

    0.1828 11.4513

    13.178 11.4519

    0.0597 11.8127

    4.9041 12.5232

    64.5033 12.9613

    0.1436 13.178

    55.1 13.6035

    97.2394 16.0854

    24.523 16.5586

    32.3522 17.3451

    4.5439 17.7711

    59.3966 18.4555

    21.296 18.7118

    69.0119 19.6792

    41.9706 20.8089

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    57.6791 20.9764

    0.4984 21.296

    3.7615 22.0152

    91.0837 23.2271

    80.7673 24.0156

    16.0854 24.523

    8.9835 25.9045

    47.3524 26.1218

    17.3451 26.8091

    0.0006 28.674

    44.8074 30.4836

    26.8091 32.3522

    47.9398 33.837

    25.9045 36.3833

    0.0015 37.0756

    2.5885 37.7408

    1.4855 39.1936

    79.2659 41.9706

    20.9764 44.6912

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    28.674 47.3524

    5.9875 47.9398

    19.6792 50.7973

    0.618 51.3586

    12.5232 53.1852

    30. 4836 53. 974

    66.7573 55.1

    0.023 57.6791

    18.4555 59.3966

    69.2863 61.1118

    17.7711 64.5033

    1.695 64.5372

    22.0152 64.8766

    64.8766 66.7573

    1.584 67.7283

    2.6377 69.0119

    0.6518 69.2863

    61.1118 70.2593

    0.1581 70.7066

    20.8089 72.4788

    6.1109 73.7325

    64.5372 79.2659

    36.3833 80.7673

    0.6513 85.6004

    24.0156 91.0837

    3.15 97.2394

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    LECTURE 2: ASSESSING A

    COMPETENCY

    Given a competency, break it down into itssmaller tasks.

    Example:

    Competency: Task 1: Number of gavel bangs for Call to order

    Task 2:Number of gavel bangs for approval ofresolution

    Task 3: Number of gavel bangs for restoring order. Task 4: Number of gavel bangs for stand or sit

    Task 5: Number of gavel bangs for adjourn

    Task 6: Match number of gavel bangs with specific purposes

    Proficiency in the Use

    of a Gavel

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    For each task, either a student possesses the skill ornot

    Set the standard for possessing the competency.

    Example: A student is proficient in the use of a gavel if

    he is able to perform 5 out of6 skills.

    The students competency score is expressed as apercentage of the tasks successfully performed:

    Example: if student is able to do 4 out of 6 skills, hiscompetency score is

    or 67%. If able to do 5 out of 6 skills,

    his competency score is5

    or 83%.

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    the smaller the number of skills that comprise

    a competency, the more stringent becomesthe competency score.

    We agree: (Ad Hoc Rule)

    A competency should comprise no less than10 skills, but no greater than 20 skills.

    If a competency has more than 20 skills, this

    means that you are measuring an ABILITY.Break it down into two or more sets.

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    The standard for each competency must be

    agreed by all faculty numbers teaching the

    subject.

    This standard will define the competitiveness

    of the graduates of the University.

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    Example:

    Task 1: Identify a variable raised to the second power

    Task 2: Identify a binomial.

    Task 3: Multiply two Binomials.

    Task 4: Find the product of( + ) and ( )

    Task 5: Obtain the product: =(x + Y)(x - y).

    Task 6: Replace x and y by other letters (a, b, e etc.) Task 7: Perform Tasks 4 and 5 using different letters

    Task 8: Represent as the area of square with side x.

    Task 9: Express the difference as the

    difference of the areas of two squares. Task 10: Replace x by and y by to express

    as the product: + =

    Proficiency in factoring the

    difference of two squares

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    Assessing A Task

    Provide at least three (3) ways to assess a task beforedeclaring a task as successfully done or not done.

    Example:

    Assessment 1: Which of these expression is a

    square?(a)

    (b)

    (c)

    (d)

    Assessment 2: How will you express 16 as a power of 4?

    (a)

    (b) 4 4 (c) (d)

    Assessment 3: What is the area of a square whose side is 2 3?

    (a)6 (b) 12 (c) 18(d) 24

    Note: If student gets any of A1 to A3 correctly, then the task issuccessfully performed.

    Task: Identify a variable/number raised to the second power.

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    We can make use of various task assessmentcombinations

    Example:

    Assessment 1: Cut out two squares the differenceof whose areas is 12. What are the sides of thetwo squares? (Note: there are many possibilities

    here). Assessment 2: Shade the areas represented by

    below:

    Task: Realize that is the difference of the areas of

    two Squares.

    x

    y

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    Workshop 2 (3 hours)

    Go back to your syllabus, break down each

    competency found in your syllabus into tasks

    Please be reminded of our ad hoc rule.

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    Lecture 3: THE ASSESSOR

    The Assessor must not be the Teacher of thesubject. This is a basic principle in

    Competency Based Assessment.

    It is preferable if the Assessor is external tothe system.

    If this is not feasible, the University can

    establish a pool ofCertified Assessors.

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    The Vice President for Academic Affairs

    instructs the Deans to establish a pool of

    Certified Assessors per subject.

    The Deans begin the process of Certification

    and submits the list to the VP - AA

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    The Certification process is as follows:

    Step 1: For a given subject, the Dean chooses a

    random number of competencies (at 50% of totalnumber of competencies for the subject).

    Step 2: The Dean requests a group of 10 individuals toparticipate as students to be assessed.

    Step 3:The participants are instructed to pretendthey do not possess a random number of skills.

    Step 4: the faculty applicant/assessor assesses the 10participants.

    Step 5: The Faculty is certified if he is able to correctlyidentify the skills not possessed by the 10participants.

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    Workshop 3

    Choose a subject. (You can make use of

    chapter 1 for this exercise.)

    The Dean organizes the participants to the

    Certification process including the candidate

    assessor. For this purpose only 5 participants +

    1 faculty candidate will be needed.

    Perform the Certification process

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    LECTURE 4: PREPARING THE

    ASSESSMENT INSTRUMENTS

    It is possible to prepare the Assessment

    Instruments ahead of time

    The Assessment Instrument of Tasks per

    competency.

    Sample:

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    Sample:

    Competency: Proficiency in factoring the difference of two

    squares.

    Task Present Absent Method

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    STANDARD ASSESSMENT FORM

    We agree to adopt the STUDER form.

    The students are provided the opportunity torate themselves through demonstrable

    performance or evidence. Students must show EVIDENCE of their

    proficiency in a given competency.

    Teacher must specify ACCEPTABLEEVIDENCES. The evidences are gathered in aPORTFOLIO.

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    ON ASSESSMENT KEY

    We modify the STUDER form by changing the

    assessment key:

    1 = needs improvement

    2 = proficient in 90% of the tasks

    3 = proficient in 100% of the tasks

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    WEIGHTS ON ASSESSORS RATING AND

    STUDENTS PORTFOLIO

    We agree to put 60% weight on assessors

    rating and 40% weight on students portfolio:

    Competency rating = 60% assessment

    +

    40%students portfolio

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    GRADING SYSTEM

    The students are declared either PROFICIENT or

    NOTPROFICIENT in a given competency.

    Each subject has a set of ABILITIES to be

    developed. Each ABILITY has severalCOMPETENCY components.

    The students grade in a subject is therefore equal

    to the proportion of COMPETENCIES where he isPROFICIENT to the TOTAL NUMBER OF

    COMPETENCIES.

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    The teacher REPORTS not only the GRADE basedon successfully performed tasks, but also theABILITIES DEVELOPED by the student.

    Example: Juan got a grade of 85% in CollegeAlgebra. The abilities developed by Juan are:

    1. Ability to do algebraic operations on variables.

    2. Ability to translate real-world problems in

    algebraic terms and solve the problems.

    Juan is unable to prove abstract THEOREMS.

    NAME: JUAN DELA CRUZ SUBJECT: COLLEGE ALGEBRA GRADE: 85%

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    NAME: JUAN DELA CRUZ SUBJECT: COLLEGE ALGEBRA GRADE: 85%

    ABILITIES DEVELOPED ABILITIES NOT DEVELOPED REMARKS

    1. ABILITY TO DOALGEBRAIC OPERATIONS

    ON VARIABLES.

    1. ABILITY TO PROVEABSTRACT THEOREMS IN

    ALGEBRA.

    Juan needs coaching in Logic andInference.

    2. ABILITY TO TRANSLATEREAL WORLD PROBLEMS

    IN ALGEBRAIC TERMS

    AND SOLVE THEM.

    2.ABILITY TO ANALYZEPROBABILITY PROBLEMS

    Juan needs to concretize theconcept ofrandomness as

    opposed to determinism.

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    WORKSHOP 4 (3 hours)

    Using Chapter 1 as basis for your discussions,

    prepare a STUDER chart for assessing

    competencies.

    For each TASK identify ACCEPTABLE

    EVIDENCES to be presented by the student.

    For each TASK provide at least three(3)

    assessment methods.


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