01:640:107 Lecture Notes - Lecture 24: The Monthly, Grouper, Foil Method
16 Dec 2016
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Document Summary
We have been considering approaches to reasoning about various mathematical expressions, formulas, and equations which in fact lead to algebraic considerations of those problems. Last time we considered examples at very early grade levels in which the models we have considered allow solutions of sophisticated equations (really, systems of linear algebraic equations). We want to continue looking at models and other reasoning approaches, since it is familiarity with those that will give meaning to what will be developed as algebraic techniques. Here is an additional set of examples than last time, for slightly higher grade levels. We will consider the algebraic thinking that goes into the problems, and model them using pictures (or objects). In each of the problems there are three types of fish, and so we will use three symbols. Lets use o for snapper, # for tuna, and * for grouper.
