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Szabo, Steven – 1971
In this paper, the point of view is taken that matters of logic which are of principal concern in mathematics are those which deal with the validity of inferences rather than with the truth-values of the sentences being dealt with. Consequently, the author presents and exemplifies some of the most basic inference schemes. He states that knowledge…
Descriptors: Deduction, Instruction, Logic, Mathematical Logic
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Szabo, Steven – National Council of Teachers of Mathematics Yearbook, 1973
Descriptors: Algebra, Curriculum, Geometric Concepts, Geometry
Szabo, Steven – 1971
It is extremely difficult to extend in a natural way the concepts developed in high school geometry to motivate the concepts of trigonometry. To solve this difficultry, the author defines "sensed angles" as ordered pairs of rays and makes appropriate definitions which yield the familiar angle properties of plane geometry. He then shows how this…
Descriptors: Geometric Concepts, Geometry, Instruction, Mathematical Concepts