Addresses the definitions of several mathematical concepts and the relationships between them based on a theoretical framework presented in the first part. Presents two examples of mathematical activities on equivalent and non-equivalent definitions constructed in the context of professional development workshops for mathematics teachers.…

Presents an activity for weaving polyhedron shapes out of paper strips. (MVL)

Discusses a regression exercise that uses real-life data, has proven interesting to students in all disciplines, and is rich to demonstrate a number of the central concepts of regression analysis. (Author/ASK)

Proposes that a mathematical treatment of Strong Inequality Triangles (sum of any two sides is greater than the third) within the reach of high school and college students is possible. Invites further explorations of other properties of Strong Inequality Triangles. (ASK)

Provides applications of mathematics designed to demonstrate to students how the topics under study are used in the real world. The ultimate objective is to convince students of the usefulness of mathematics. (ASK)

Helps students make sense of the three ratios--the ratio between corresponding lengths, the ratio between corresponding areas, and the ratio between corresponding volumes--and begin to construct proportional relationships among them. (ASK)

Finds that many activities that have been called "problems" are merely exercises or tricks. Offers a clearer definition of the word "problem". Notes some of the classroom implications of the new insight. (Author/CCM)

Takes the concept of using a geometrical or visual approach to teach algebraic concepts and extends it to connect with the section on binomial expansion by using three dimensional objects. (ASK)

Presents responses to a problem appearing in the December, 1998 issue on the concept of determining all possibilities for colored and numbered wristbands for students. (ASK)

Discusses a town called Chartres and its cathedral which features the figure of Pythagoras. Discusses the Pythagorean theorem and his mathematical contributions to music. (ASK)

Offers a few examples of the ease with which science, mathematics, and technology can converge. Illustrates some of the potential of Calculator-Based Laboratory (CBL) and Calculator-Based Ranger (CBR) to study mathematics. (ASK)

Discusses the features of a good educational game. Describes mathematics that can be developed from playing games and introduces a strategy board game called Mancala. (ASK)

Presents an activity in which students study statistical concepts using data from Super Bowl games. (ASK)

Introduces a place of mathematics using a town called Amiens and its Cathedral whose overall floor plan was based on the Greek cross using proportions matching that of the ideal human body, the figures in the shape of an octagram or star octagon, and the symbols in the design. (ASK)

Presents discovery mathematics activities involving sporting equipment. (ASK)