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4: Maths Assessment in Lessons (Van De Walle Ch 5)
ETL123: Mathematics 4: Maths Assessment in Lessons (Van De Walle Ch 5)
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Maths Assessment is . . . What do you think about when you think about Maths assessment?
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What do you think about when you think about Maths assessment?
Forms Tests? Quizzes? What else? Content Concepts? Procedures? What else? Purposes Check achievement? What else?
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Why do we Assess? Monitor Progress (formative assessment)
Make Instructional Decisions (LMP and LP) Evaluate Student Achievement (summative assessment) Evaluate Own Teaching Programme/Unit (reflection)
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Mathematical Processes
What do we Assess? Mathematical Knowledge Concepts Procedures Mathematical Processes Problem-solving Reasoning Communication Attitudes (cf: 5 strands of Maths proficiency: Conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, productive disposition (Van der Walle p25)
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Performance-Based Assessments
The same task as a problem task (activity where there’s no one solution method) E.g. If you don’t know 12-7, what are some ways you could find the answer E.g Explain two different ways to do 4x276 in your head: which is easier and why? Would you use as different way to do 5x98? Why/not?
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Difference between Teaching Task and Assessment Task: Assessment Rubrics
Used to check level of performance in lesson objective(s) Simple Rubrics Performance Standard Statements Describes what different levels of performance looks like: share with students at start of task (Dim 1) Got it Not there yet Full achievement of objectives Substantial achievement of objectives Partial achievement of objectives Little achievement of objectives
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Assessment Types Teacher Observations: notes, checklists (individual and class) Student Writing/Journals: express understandings, questions, attitudes, self-assessment Diagnostic Interviews: time-consuming but rich: e.g. Which is more? 4/4 or 4/8? Show your thinking. Tests: can go beyond low level ‘drill’
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Assessment Grades: % or A-E
Controversial/troublesome issue at times . . . What skill should matter most in overall grade . . .? Maths skills, concepts, explanations, problem-solving, attitude . . . What gets graded gets valued What do you think . . .?
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