MATH 392 Lecture 7: September 12 & 14, 2016 (Multiplicative Reasoning)
15 Sep 2016
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Baker"s dilemma problem how will kids solve the problem: four groups of 9 vs. nine groups of 4, strategies. Number each object cross out each object after it is counted. Multiplication is usually introduced by grouping objects: sometimes teachers forget to make sure that students understand what the groupings mean. Strategies to build multiplicative reasoning: please go bring for me fosters double counting research based. How many cubes in all? intended goal: have student double count abstract composite units: counting on tasks, large counting tasks. Promote counting by groups because it"s easier / more efficient vocab intensive quantity: size of a group: really two quantities put together, this per that. Milligrams per pill cubes per tower etc. Double counting: repeated addition: continues repeating on and on, double counting: repeat while keeping track of the quantity of the other group. *teaching facts without rules sets students up for failure.
