Solving Arithmetic-Algebraic Problems
The chapter begins with an Introduction in which we shall refer to the work of other authors who broach different aspects of arithmetic-algebraic problem solving. Those aspects include the arithmetic or algebraic nature of the problems; the relation of that nature to the underlying structure of the word problem and to the processes of translating the problem into a mathematical sign system; and the entrenched nature of arithmetic-type reasoning that may eventually inhibit implementation of algebraic solution strategies or methods.
Afterwards we refer to classical methods, such as the Cartesian Method, and non-traditional methods for solving problems in order to discuss cognitive aspects such as that of the problem of transference, the competent use of the logic-semiotic outline, the strata of mathematical sign systems used as representations, and the use of primitive methods and their relationship with the use of memory.
KeywordsArithmetic Operation Word Problem Logical Analysis Problem Situation Algebraic Expression
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