Mathematics Curriculum Notes
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|A model for mathematics instruction from primary school to college. The first part describes Pattern Based Reason, its origins, benefits and limitations in many subjects. In mathematics education there are two barriers to comprehension to be lowered or removed. First, the algebraic or symbolic way of writing and thinking is better seen and read silently than read aloud or spoken. This has been an obstacle to the comprehension and communication of mathematical thought. Second, the deductive nature of formal mathematics exposition with its long chains of reason and preparation implies that concepts appearing at the end of a course are not comprehensible to students in the middle of the course nor at its beginning. Mathematics beyond the last concept mastered may seem impenetrable and mysterious.|
|Levels:||Elementary, Middle School (6-8), High School (9-12), College|
|Math Topics:||Basic Algebra, Imaginary/Complex Numbers, Communicating Math, Euclidean Plane Geometry, Logic/Foundations|
|Math Ed Topics:||Curriculum/Materials Development|
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