EDEE 230 Chapter Notes - Chapter 2: Cultural-Historical Psychology, Procedural Knowledge, Institute For Operations Research And The Management Sciences
9 Sep 2013
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Chapter 2: exploring what it means to do. Doing mathematics = generating strategies for solving problems, applying those approaches, seeing if they lead to solutions, checking to see if your answers make sense. Doing mathematics in classroom should model doing mathematics in the real world. Math = science of concepts & processes with a pattern of regularity & a logical order. Discovering real-world relationships represented by linear graphs more scientific & valuable than creating graph from equation. Knowing relationships & patterns helps students understand what they"re doing increases accuracy & retention. Higher-level thinking words: explore, justify, solve, construct, verify, develop, etc. Lower-level thinking words: listen, copy, memorize, etc. these words don"t prepare students for real act of doing mathematics. Teachers pose problems so that students actively engage to come up with solutions. 4 features of a productive classroom culture for math ideas are the currency of the classroom help others learn.
