The proof of a number trick is given. (DT)

The game of "Sprouts" is explained, then several theorems concerning the game are stated and proved. (DT)

Several topics concerning numeration systems that are appropriate for small group projects are suggested. (DT)

This paper first postulates the existence of co-constructed patterns of participation in the classroom and then documents one such pattern of participation: Kikan-shido (instruction between desks), both as it is enacted and as it is perceived by the classroom participants. In the course of detailing the use of kikan-shido in three Australian…

This report focuses on teachers' individual curricula. An individual curriculum includes contents and reasoning and can be structured in a quasi-logical system of goals and methods, which is the result of teachers' planning of mathematics instruction. There is consent that the planning of individual curricula or the instructional practice is a…

Previous research has shown that many secondary school students improperly apply linear models when solving non-linear problems involving lengths, area and volume of similar plane figures and solids. This phenomenon is called the "illusion of linearity". This paper presents a teaching experiment in which we developed and tested a learning…

This paper presents a World Wide Web-based infrastructure for cooperation between many different parties. The infrastructure is designed for Web-based competitions involving an editorial board, designers of assignments or events, evaluators, different organizational layers, and contestants. Web-CS is entirely Web-based: all the communication…

This investigation uses classroom discourse in an undergraduate mathematics course to challenge preservice secondary mathematics teachers' notions about mathematical discourse, what it should resemble in the classroom, and how it can be cultivated by classroom teachers. The research setting was an upper level geometry course. Eleven preservice…

This paper presents the evaluation of a program on the use of interactive video technology to teach mathematics in middle schools. The implementation of the Adventures of Jasper Woodbury mathematics program involved 17 math teachers from eight schools in the Chicago area from September through November, 2000. The teachers were trained at…

Strategies are developed for establishing impossibility proofs for construction of a given shape from pieces of a set of soma cubes. The activities illustrated were developed with sixth graders; students, with guidance, established the proofs. Additional activities and problems are suggested. (JP)

Describes the procedures for constructing flowcharts and outlines the advantages of using instructional flowcharts in the teaching of science and mathematics. (JR)

Different regular-polygon-shaped candles wound with a sheet of paper are cut through obliquely. When the papers are unwound, unique patterns are revealed. Investigation of these patterns leads to the discovery of geometric concepts. (JP)