Math Core 1 Foundation Rob Stephenson STEM Consultant Ingham Intermediate School Distr [email protected]517-244-1242 Which of these square numbers also happens to be the sum of two smaller square numbers? A. 16 B. 25 C. 36 D. 49
Transcript
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Math Core 1 Foundation Rob Stephenson STEM Consultant Ingham
Intermediate School District [email protected] 517-244-1242
Which of these square numbers also happens to be the sum of two
smaller square numbers? A. 16B. 25 C. 36D. 49
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Stand up if you. Have traveled outside of North America. Are
excited by the new school year. Have met a celebrity.. Remain
standing if you admire that celebrity. Plan to attend the MSU
homecoming parade. Incorporate Guided Math/Math Workshop in your
current practice. Want to provide better differentiated math
experiences for your students.
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Agenda: 9:00 Welcome, Learning targets & defining better
math 9:30 Foundational principles of guided math 9:45 Guided math
stations 10:00 Exploring Math Core Lesson Resources 10:30 Break
10:40 Exploring Assessment Resources 11:25 Independent Stations
& Fact Fluency 12:10 Lunch 1:10 Exploring Online Interactive
Activities 1:45 Exploring Game/Center Resources 2:20 Break 2:30
Guided math in action 2:55 Sample schedules 3:15 Final Action
Planning 3:30 Adjourn
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What are your goals for today? Learning Targets: 1)I can
describe the components and benefits of guided math models 2)I can
access resources for core instruction, assessments, online
interactive games, and center activities that support my grade
level 3)I can describe guided math schedule options and how to
organize the classroom to support math workshop 4)I can explain the
importance of math reasoning with balanced procedural and
conceptual math practice Additional Goals: 1)Learn collaboratively
2)Develop an action plan for guided math implementation 3)Have some
fun!
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So what does better math look like?
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BETTER Math Instruction Definition in your own words? What it
is not? What does a student experience? ? What does a teacher
experience?
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Plicker Pole Time Which of these square numbers also happens to
be the sum of two smaller square numbers? A. 16B. 25 C. 36D.
49
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Why should we analyze our mathematics programs? 78% of adults
cannot explain how to compute the interest paid on a loan. 71%
cannot calculate miles per gallon on a trip 58% cannot calculate a
10% tip for a lunch bill Phillips, G. 2007 (And this college
student should have had $16,000!)
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reach students at all levels of achievement provide diverse
methods of learning allow more opportunities for observation and
communication by students encourage active engagement by students
empower students 9 To more effectively teach math, we must
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All children can learn mathematics A numeracy-rich environment
promotes mathematical learning Learning at its best is a social
process Learning mathematics is a constructive process An organized
classroom environment supports the learning process Effective math
programs include number talks, modeling, think alouds, and
purposeful conversations Effective math programs empower students
with responsibility for their learning The Foundational Principles
of Guided Math Adapted from Principles of Guided Reading developed
by Fountas and Pinnell
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Turn and Talk Talk to your shoulder buddy about how math is
taught in your building (think about the differences in classrooms
& grade levels). Are these components part of the math
instruction? ____ whole group instruction ____ mini-lesson ____
debrief ____ small guided math group ____ workstations
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Guided Math Infrastructure Concrete (base-ten blocks, cubes,
counters, etc.), Pictorial (model of thinking pictures, drawing,
diagrams, tables) Abstract (number sentences, equations,
expressions ) Why is it important to incorporate each?
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Guided Math Common Practices Guided Math Common Practices
Classroom Environment of Numeracy Math Warm-up/Calendar Board
Individual Conferences Ongoing Assessment Whole Group, Small Group,
& Math Workshop Instruction Students learn in small
differentiated flexible groups based on their readiness level
Students practice with the teacher, with each other, and by
themselves So what does it look like?
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https://www.youtube.com/watch?v=XOjoG1Lxe1o
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Reactions to the Video Clip Questions? Reflections?
Barriers?
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Guided Math Stations: Generally, there are four rotations:
1)Teacher table 2)Independent work 3)Center/Games 4)Online
Interactive Practice
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Teacher Table Guided Math Stations This is where the teacher
will do direct instruction on the concept from the core program,
model it, and allow for the students to practice with guidance in
their small ability groups.
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What are the benefits of small groups for that core
instruction? Gives children the chance to develop their own
strategies for solving problems. Supports differentiated
instruction. Fosters student articulation about a problem. Provides
opportunity to assess each students needs.
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Guided Math Core Lessons What math program do you presently
use? A.enVisionMath B.Everyday Math C.A collection of CCSS
Resources D.Other
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How can your current program be delivered in a guided math
format?
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My districts math program is aligned with the CCSS. A.True
B.False
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Lets Explore Core Math Resources bit.ly/isdmath Math Core
Lessons
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How could those resources support your current instruction? In
what standards does your current program fall short?
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Lets take a 10 minute break. Next well take a look at resources
for Establishing Flexible groups.
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Establishing Flexible Groups Students can be grouped based on
their mastery levels of goals/objectives, skills, concepts or
strategies being developed.
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Flexible Grouping Students move in and out of groups based on
need. In geometry Parker could be in group 1 and in measurement he
could be in group 5.
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What formative assessment resources do you have to establish
your flexible groups?
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HOW DO I SET UP THE GROUPS? BEN SCREENERS BENCHMARK TEST
QUIZZES INTERVIEWS CHAPTER TESTS TEACHER OBSERVATIONS
bit.ly/isdmath Assessing Resources
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Analyzing Student Pre-Test Grade student pretest Sort into four
groups or stacks with like errors. These become the math groups.
Group 1
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Create your own Formative Assessments with Inspect Itembank
50,000 CCSS items are already banked Working on performance items
that are Smarter Balance (like) Depth of Knowledge and Blooms
Taxonomy are noted Add on cost is$1.50 per student
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What formative assessments will you use to set up your flexible
groups?
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Independent Work Students often complete the lessons paper
pencil task in this rotation. What might students do when they
finish? Guided Math Stations
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Im done.what should I do now? Fact Fluency (flash cards, fact
triangles, Xtramath.org, digitwhiz.com) Vocabulary Station Math
Literature Math Journals What will students do when they finish
their independent work station?
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Lets Explore Fact Fluency Websites bit.ly/isdmath Fact Fluency
Practice Websites
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Math Workshop Students work independently, in pairs, or in
groups. Procedures and routines must be established and practiced.
Activities should provide opportunities for exploration or practice
of mastered skills. The work need not be related to the work being
done in small groups. The duration of each center is up to the
teacher (typically 15-20 minutes per rotation). Lets look at an
implementation where the classes use enVisionMATH.
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https://www.youtube.com/watch?v=IemfuBDS8b4
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Teachers Role During Guided Math Analyze formative and
summative student data to plan for instruction and flexible
grouping Develop a system for tracking student learning Use a new
approach and strategies to teach small group instruction Set up
standard-based work stations with a focus on problem solving
Conference with students individually Acts as facilitator
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Students Role During Guided Math Work in small groups at
different work stations and/or with teacher Understand the guided
math schedule Are accountable for producing quality work
Demonstrate responsibility.
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Time for Lunch
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Remember, one of the goals of Guided Math is to Empower kids.
How can this model do that?
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https://www.youtube.com/watch?v=G0iXEIpgzNk
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Online Interactive Practice Carefully selected online
activities can connect to your standard and still be fun. Guided
Math Stations
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My students have regular access to Internet connected devices.
A.True B.False
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Online Interactive Game Resources bit.ly/isdmath Online
Interactive Games
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I use a SMART Board within my classroom. A.True A.False
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Using a SMART Board as a Station When trying to access premade
SMART board activities, SMART Exchange is your best resource. You
can search by subject, grade level, keyword, etc. A lesson is put
up on the board for small groups of students to be interactive with
it.
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What will you use for a technology station during guided math?
What could be integrated if a technology station is not an
option?
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Ideas for Workstations Technology (computer games, iPad tasks,
calculators, SMARTboard activities) Fact Fluency Station (flash
cards, Xtramath.org, digitwhiz.com) Games Problem Solving Station
Place Value Station (Base ten manipulatives) Measurement Station
Manipulatives: geoboards, tangrams, Vocabulary Station Review and
Practice Station Math Literature Math Journals
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Centers/Games Station Games can be collected and housed for
students to choose from? Must the game relate to the days standard?
Guided Math Stations
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Lets Brainstorm Game and Center Ideas What games/centers might
you use?
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Additional Games & Centers Resources bit.ly/isdmath Games
& Centers Ideas
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Game Swap Consider one of your favorite games or centers that
you like to include in your math instruction (or identify one that
you found today) and describe it to the people at your table.
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Lets take a 10 minute break. Next well take a look at Guided
Math in action, look at sample schedules, and, discuss tips on
organizational strategies.
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Work Stations Game Examples Lower Elementary
https://www.youtube.com/watch?v=0X0pe72Sz3k
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Work Stations in Action Upper Elementary
https://www.youtube.com/watch?v=oMUx-bc3E8E
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Thoughts about the examples? Other questions?
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Lets look at some sample math schedules to determine what may
suit you best.
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Math Instructional Block Guided MathWork Stations Small Group
Instruction Whole Group -Think Aloud -Core Lesson -Review/Assess
Guided Math Structure (the commonalities)
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Guided Math 20-30 Minutes Small group reteach, conferencing
&/or extension Collaborative problem- solving Center Activities
Manipulative discovery and connections Think-Aloud 10-15 Minutes
Model thinking process for problem solving & test-taking
strategies Core Lesson 30-60 Minutes Whole group standards-based
lesson Review/ Assessment 10-30 Minutes Review important concepts
Reflect or Assess Total Time 120 Minutes
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Think-Aloud 10-15 Minutes Model thinking process for problem
solving & test-taking strategies Core Lesson 30-60 Minutes
Whole group standards-based lesson Review/ Assessment 10-30 Minutes
Review important concepts Reflect or Assess Guided Math 20-30
Minutes Small group reteach, conferencing &/or extension
Collaborative problem- solving Center Activities Manipulative
discovery and connections Total Time 120 Minutes
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StrugglingEmergingOn Target 90 minutes Content Material can be
used at any station. Teacher Station Intervention Station 3 Problem
Solving Station 2 Skills Practice Station 1 Math Fluency Whole
GroupLesson20 min Whole Group LessonWrap Up10 min Teacher Station:
Teacher will work with homogenous group for 20 to 30 minutes each.
Set up your 90 minute schedule
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Guided Math 40 Minutes Small group reteach, conferencing
&/or extension Collaborative problem- solving Center Activities
Manipulative discovery and connections Think-Aloud 15 Minutes Model
thinking process for problem solving & test-taking strategies
Core Lesson 20 Minutes Whole group standards-based lesson Review/
Assessment 15 Minutes Review important concepts Reflect or Assess
Total Time 90 Minutes
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Math Energizers5-7 Minutes Review and Practice Whole Group Mini
Lesson 7-10 MinutesWhole group standards- based lesson Work Time
30-45 Minutes Small guided math group Individual math interview or
conferencing Workstations Share5-10 MinutesDiscuss Major Takeaways
Writing Response Total Time 70-75 Minutes
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Group 1Group 2Group 3Group 4 1 st StationMeet with Teacher Math
Games Math Card Game Individual Work 2nd Station Individual Work
Meet with Teacher Math Games Math Card Game 3rd Station Math Card
Game Individual Work Meet with Teacher Math Games 4th Station Math
Games Math Card Game Individual Work Meet with Teacher 70- 95
minutes 10-15 min Whole Class Lesson Introduction (would include
Math Message and or review and a brief introduction of the days
lesson) 15-20 min Group Rotations
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Sample Guided Math Schedule With 3 Day Workshop Format
DayActivityComponent MondayActivating Strategy Preassessment
Problem Solving Think-Aloud Prep for independent work Introduce New
Games Whole Class TuesdayRead-aloud Independent work/conferencing
Guided Math Group 1 Whole Class Workshop Conferencing Small
Group
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DayActivityComponent WednesdayProblem challenge minilesson
Independent work/conferencing Guided Math Group 2 Whole Class
Workshop Conferencing Small Group ThursdayIndependent
work/conferencing Guided Math Group 3 Guided Math Group 1 Workshop
Conferencing Small Group Sample Guided Math Schedule
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DayActivityComponent FridayMath Huddle Create class chart to
post in classroom for reference Whole Class Sample Guided Math
Schedule
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60 Minute Model Whole group mini- lessons=15 minutes One work
station= 15 minutes each Math talk follow- up=15 minutes In this
scenario, there are only two work stations a day requiring two days
to see each student in small group.
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Who is doing what and when When?What is the teacher doing? What
are the students doing? Prior to Guided MathUpdating stations
Determining schedule Making materials accessible They are not
present Mini Lesson at the Beginning Review/introduce work stations
and expectations Review/introduce new math concept Listen to
students explain their thinking Attend to the adult Using math
talks to share ideas and strategies Work
StationsObserving/Assessing students Leading differentiated small
group instruction Focusing on station task Explaining math thinking
to one another After Guided MathFacilitating discussionSharing what
they learned
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What is your preferred Math Schedule model? ThinkShare
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Please work with your colleagues to continue to develop your
action plan for implementation.
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Other Action Plan Considerations Decide on rules and routines
Set up groups Create a schedule Decide on the focus content strand
Decide on the mathematical practices that you will highlight Plan
group and mini-lessons Design workstations Put an accountability
system in place
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Please be sure to fill out the evaluation form and leave it on
the table. Feel free to contact me: Rob Stephenson STEM Consultant
Ingham Intermediate School District [email protected]
517-244-1242