practicum, assessment, evaluation, and reporting in ontario
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Practicum, Assessment, Evaluation, and Reporting in Ontario. Intermediate / Senior Mathematics Winter 2011 SESSION 11 – Feb 2, 2011. Practicum. Practicum. Practicum. Practicum. What Can We Learn From TIMSS? Problem-Solving Lesson Design. BEFORE (ACTIVATING PROBLEM 10 min) - PowerPoint PPT PresentationTRANSCRIPT
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Practicum, Assessment, Evaluation, and Reporting in
OntarioIntermediate / Senior Mathematics Winter 2011SESSION 11 – Feb 2, 2011
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Practicum
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Practicum
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Practicum
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Practicum
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What Can We Learn From TIMSS?Problem-Solving Lesson Design
BEFORE (ACTIVATING PROBLEM 10 min) • Activating prior knowledge; discussing previous days’
methods to solve a current day problemDURING (LESSON PROBLEM 20 min) • Presenting and understanding the lesson problem • Students working individually or in groups to solve a
problem• Students discussing solution methodsAFTER (CONSOLIDATION the REAL teaching 30 min) • Teacher coordinating discussion of the methods (accuracy,
efficiency, generalizability)• Teacher highlighting and summarizing key points• Individual student practise
(Stigler & Hiebert, 1999)
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Compare your solutions. How are they similar? How are they different?
There are 36 children on school bus.There are 8 more boys than girls.How many boys? How many girls?
a) Solve this problem in 2 different ways. b) Show your work. Use a number line, square grid, picture,
graphic representation, table of values, algebraic expression
c) Explain your solutions. 1st numeric; 2nd algebraic
Bus Problem
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There are 36 children on school bus.There are 8 more boys than girls.How many boys? How many girls?
a) Solve this problem in 2 different ways. b) Show your work.c) Explain your solutions using one or more operations.
What’s the Mathematical Relationship to the Previous Problem? …. Knowing MfT
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Did you use this mathematical approach?
(Takahashi, 2003)
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(Takahashi, 2003)
Did you use this mathematical approach?
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Did you use this mathematical approach?
(Takahashi, 2003)
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(Takahashi, 2003)
Did you use this mathematical approach?
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(Takahashi, 2003)
Did you use this mathematical approach?
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How are these algebraic solutions related to the other solutions? … Knowing Math on the Horizon
(Takahashi, 2003)
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Which order would these solutions be shared for learning? Why? ... Knowing MfT
(Takahashi, 2003)
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See WIKI
Return to ML Kestell
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Growing Success: Assessment, Evaluation, and Reporting in Ontario Schools. 2010
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Seven Fundamental Principles – What do they mean for Mathematics Education?
Work with a partner and complete this form. Be specific about mathematics tools and strategies.
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Assessment and Evaluation
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Success Criteria based on Expectations
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Assessment for and as Learning
On the WIKI: Instructional Strategies TIPS for Teachers
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Mental Math• Addition (number lines, decomposing and composing)
− 8 + 5− 34 + 78− 392 + 259− 21.87 + 193.38
• Subtraction (number lines, compensation, alternative algorithms)− 32 – 18 − 363 – 149
• Multiplication (area model, lattice, halving and doubling)− 24 x 14− 36 x 17
• Division (subtraction algorithm, splitting)− 93 / 7− 260 / 13