A PHASE relation familiar to students of applied mathematics exists between a simple harmonic oscillation and its derivative. Similar relations exist between exponential functions and their ...

Vol. 26, No. 2/3, Learning Mathematics: Constructivist and Interactionist Theories of Mathematical Development (Mar., 1994), pp. 135-164 (30 pages) Conventional treatments of functions start by ...

Exponential and logarithmic functions are typically presented as formulas with which students learn to associate the rules for exponents/logarithms, a particular algebraic form, and routine algorithms ...