Presents a recounting of the work of Kepler and Wiles, great minds who made a tangible impact on the field of mathematics but who had to overcome seemingly insurmountable roadblocks. (KHR)

Describes a mathematics history project to incorporate research skills with discovering the origins of familiar mathematical concepts. Uses a personal letter from a mathematician about a discovery. (KHR)

Presents Grabiner's Use-Discover-Explore-Define (UDED) paradigm as a tool for a teachers' own acquisition of authentic historical accounts of the evolution of mathematical topics and as a pedagogical stratagem for their students as well. (KHR)

Includes fascinating stories about mathematicians and their interesting lives. Shows that mathematicians are human beings with peculiar foibles and personality quirks just like the rest of us. (KHR)

Demonstrates how mathematics is a changing science through an in-depth look at the history of the development of logarithms. Serves as a reminder to continue to remember and appreciate the efforts and contributions of past mathematicians. (KHR)

History has a vital role to play in the math classroom. It prompts teachers and students to think and talk about mathematics in meaningful ways; enriches the curriculum; demythologizes mathematics; and promotes communicating, connecting, and valuing mathematics. (KHR)

Cites Mandelbrot as an example of one who learned the language of mathematics, biding his time until he could employ his knowledge both as a means of creative expression and as a tool for comprehending the intricacies of the world around us. (KHR)

Discusses the parallels between Klein's position at the forefront of a movement to reform mathematics education and that of the National Council of Teachers of Mathematics' (NCTM) Standards. Draws a picture of Klein as an important historical figure who saw equal importance in studying pure mathematics, applying mathematics, and teaching…

Explains that primitive living structures furnish real-world problems that are solvable using mathematics and computer-modeling techniques. (KHR)

Presents materials and methods that maintain student interest and encourage them to think creatively, develop mathematical reasoning, and look at problems from different perspectives, all within an open-ended approach to problem solving. Includes questions for discussion. (KHR)

Discusses various ways of representing arrangements of tightly packed circles and poses questions concerning related functions and problems. (KHR)

Presents an insightful approach to algebra that enhances both personal and classroom communication through the process of solving a linear equation. (KHR)

Poses a probability problem with counterintuitive results which ultimately leads to a lesson in how mathematicians work and think. (KHR)

Describes an activity in which students examine bicycle chain-rings, cogs, and gear ratios as a means of exploring algebraic relationships, data collection, scatter plots, and lines of best fit. (KHR)

Presents requisites for and characteristics of reform, identifies sources of problems teachers face when implementing change, and gives tips for success. (KHR)