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The World ofExemplars and
Implications for SRBI
Sharon Keegan – Secondary Math Curriculum Specialist CREC Magnet Schools
Standards for Mathematical Practice1. Make sense of problems and persevere in solving
them
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
For each of the Common Core Mathematical Practices standards, only about one-third of
students reached the college- and career-ready level. (ACT)
Exemplars offer authentic, real world problems.
Allow differentiation in Tier 1
INSTRUCT EXPLORE DIAGNOSESELF ASSESSCOMMUNICATE
Exemplars can be used to...
An Exemplars task includes four parts
1. THE PROBLEM
It is large enough to make a transparencyor simply photocopy it to distribute to students.
2. TEACHER NOTES
Differentiated material (for Pre K–8), with a more challenging and a more accessible version and solution for each task.
3. RUBRICS
Task-specific rubric at four levels:Novice
Apprentice Practitioner
Expert
POST A LARGE VERSION IN YOUR ROOM
4. ANCHOR PAPERS Annotated to focus on particular aspects
Provides modeling experiences
Used for student self- and peer- assessment
1. Give an Exemplars task to practice
2. Share the anchor papers
3. Discuss and critique them
4. Score them as a class
If a task is not going well do not use it as an assessment piece, but use it as an instructional tool, and solve it together.
GROUP BRAINSTORM
share ideas, strategies, & ask questions of each other
STUDENT TO STUDENT DIALOG !
Read the problemHighlight the important informationWhat do you know / need to find Plan your strategies Solve the problemDraw / write about your solution Check your answerShare a connection or observation
Examining Student Work in the Classroom
1. Sort the work into groups by performance: Novice, Apprentice, Practitioner or Expert
2. Describe what the work in each group has in common
What did you do to solve
this problem?
Are numbers important in solving
this problem? Why?
Did graphs help you to
solve the problem? Why?
Why was this
problem easy?
Would this problem be easier today than
yesterday? Why?
DISCUSSIONSTARTERS
(use task organizer)
Helping students become effective self-assessors has an enormous impact on student performance. Studies by Paul Black and Dylan William show that effective classroom assessment has a greater impact on student achievement than any other approach.