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Confrey, Jere; Smith, Erick – Journal for Research in Mathematics Education, 1995
Presents a covariation approach to learning exponential and logarithmic functions based on a primitive multiplicative operation labeled splitting that is not repeated addition. Suggests that students need the opportunity to build a number system from splitting structures and their geometric forms. (30 references) (MKR)
Descriptors: Concept Formation, Exponents (Mathematics), Functions (Mathematics), Learning Theories
Montgomery County Public Schools, Rockville, MD. – 1982
Discussion material and exercises related to pre-algebra groups are provided in this five chapter manual. Chapter 1 (mappings) focuses on restricted domains, order of operations (parentheses and exponents), rules of assignment, and computer extensions. Chapter 2 considers finite number systems, including binary operations, clock arithmetic,…
Descriptors: Algebra, Arithmetic, Functions (Mathematics), Geometric Concepts