Please read the essay on this web site entitled "What makes a good challenge?" We find the applets to be most effective when teachers, in groups of two or three, explore the applets together and discuss them. The collection of challenges is divided into nine groups.
As in many attempts at categorization, the categories are fuzzy and overlapping. Accordingly, some of the challenges appear in more than one group. Families of Functions [& Relations] - what makes a family? is it a variation of one or more parameters? is it a transformation such as translation or dilation? is it both? Function as Object - is a function a process that transforms one or more inputs to an output? is it an object in its own right with operations that can be performed on it? is it both? Equations, Inequalities & Relations as Comparisons of Functions - decomposing equations, inequalities and relations into their constituent components Functions on the Domain of Shapes - geometric constructions as functions; their inverses and composition Parameter Spaces - alternative representations of functions on numbers, quantities and shapes Modeling & Formulating - formulating measures; relating them to one another via constraints of equality & inequality Number Sense & Computational Calisthenics - addition, subtraction, estimation, factoring quadratics, expanding products
Imagine... - applets designed to stretch intuition Judah L. Schwartz  mathMINDhabits by Judah L. Schwartz is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |