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Principles of Problem Solving
There are no hard and fast rules that will ensure success in solving problems. However, it is possible to outline some general steps in the problem-solving process and to give some principles that may be useful in the solution of certain problems. These steps and principles are just common sense made explicit. They have been […]

Representations of Functions
There are four possible ways to represent a function: verbally (by a description in words) numerically (by a table of values) visually (by a graph) algebraically (by an explicit formula) If a single function can be represented in all four ways, it is often useful to go from one representation to another to gain additional […]

Reading Mathematics: Question Assumptions
Students at the elementary level assume that the statements in their textbooks are complete and verifiably true. A lesson on the area of a triangle is assumed to contain everything there is to know about the triangle area, and the conclusions reached in the lesson are rock-solid fact. The student’s job is to “learn” what […]
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