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Study_Guide_midterm[1] - Study Guide Mid-term Exam ELM 410...

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Study Guide – Mid-term Exam – ELM 410 – Spring 2011 Multiplicative Thinking Difference between Additive and Multiplicative Reasoning Why is multiplicative thinking a conceptual hurdle? Mathematics Instructional Quality Nine dimensions of Mathematics Instructional Quality ("A reflection framework for teaching mathematics" by Merritt et al.) – You should be able to identify and describe the dimensions. You will not be asked to list the dimensions. Instead, you might be asked to describe “problem solving”, for example. Or, you might be given a description of one of the dimensions, and you would name it. o Structure, Multiple Reps, Mathematical Tools, Cognitive Depth/Demand, Problem Solving, Discourse, Explanation/Justification, Connections/Applications, Mathematical Accuracy Cognitive Demand o Classifying a task as high or low in cognitive demand o Justifying using the framework from Stein et al. reading o Why are cognitively demanding tasks important?
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