01:640:107 Lecture Notes - Lecture 1: Natural Number, Rational Number
9 Dec 2016
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Document Summary
The choice of topics for this course has been made with the idea of presenting material that should be both interesting and useful to students who are considering the possibility of teaching at the elementary school level. We will be reexamining many of the mathematical ideas with which you are already familiar, placing them in the context of mathematics as a whole but in addition viewing them from the perspective of young students first learning them. Mathematics is an important subject of inquiry because it provides a useful method of describing many real world phenomena. Counting, categorizing, recognizing patterns, forming expectations and making predictions based on those expectations are all processes that are fundamentally mathematical and which form the basis of the subject. Mathematical reasoning is developed by moving from the particular to the general, by finding abstract connections between processes or notions that may at first appear unconnected.
