Discusses how students construct their own understanding of mathematics as they discover and then learn it in class. Presents Krystal's method to subtract mixed numbers that her peers adopt and name for her. (ASK)

Uses the average-monthly-temperature function as an application of the sine wave. Argues that the attractive aspect of gas bill graphs is that they clearly illustrate that sinusoidal curves are useful and meaningful in an everyday context. (ASK)

The unique factor of the Japanese educational system is the use of entrance examinations. Presents examples and comments on questions from those examinations. (ASK)

Describes one innovative method that can help middle-grade students become more flexible in their ability to represent fractions, decimals, and percents, and creates a game of concentration using those mathematical subjects. (ASK)

Presents a mathematical analysis of the game "twenty-four points" that aims to apply arithmetic operations on the four numbers to reach a specific number. This game can improve children's ability to do mental arithmetic. (ASK)

Presents a mathematics activity in which equal areas and volumes are focused upon when sharing a circular pie. (ASK)

Introduces the use of the game Battleship to study the system of equations and the distance formula. (ASK)

Decribes a variation on Bingo that provides a non-routine probability investigation through which students develop concepts of chance. (Author/CCM)

Illustrates how upper elementary grade students can develop an understanding of the invert-and-multiply algorithm. (CCM)

Explores the derivation of empirical models for the stopping distance of a car being driven at a range of speeds. Indicates that the calculation of stopping distances makes an excellent example of empirical modeling because it is a situation that is readily understood and particularly relevant to many first-year undergraduates who are learning or…

Presents activities designed to be worked on by parents and children together, and describes experiences in using the activities in school and home settings. Reviews patterns and arithmetic. (MM)

Suggests that asking students to show the truth of mathematical statements has advantages over asking for proofs in terms of range of responses and student attitudes. (MM)

Mathematics truly is magical, especially for students with strong number sense and algebra skills. This paper describes a variety of mathematical surprises that will capture students' interest and motivate exploration of mathematical ideas. While the tricks themselves are fascinating, push students to think about the reasons why these stunning…

In this article, the author shares some of the activities for the classroom invented by Gill Hatch. One of those activities is the activity for older students, which is for the five-year-olds through to post-graduates. Card-sorting game, geometry games, algebra games, and loop games are also some of those activities for the classroom invented by…

Alf Coles and Barry Orr reflect on what it looked like when Alf taught a year 7 lesson. In this article, Alf was asked by Barry (student) if he would take a lesson with the Y7 class that he had taken over from another teacher in the department in order to see what someone else might do with his lesson plans. Alf describes what some moments with…