Mathematical patterns obtained by using rectangles and inductive reasoning are discussed. (DT)

In this speech on "The Future is Related to the Past", the parameters for mathematics education as determined by future society and by education systems are discussed, and implications for the learning of mathematics are considered. Responsibilities of mathematics educators are detailed. (DT)

The limitations in mathematics learning ability inherent in the logical thinking of elementary and junior high students, and the broad spectrum of activities directly affected by these limitations, are discussed. (DT)

Shortcuts for multiplying by eleven are presented and explained. (DT)

Geometry is an important branch of mathematics. Geometry curriculum can be enriched by using different Technologies such as graphing calculators and computers. Logo-based different software packages aim to improve conceptual understanding in geometry. The goals of this paper are i) to present theoretical foundations of any computer software…

This paper presents the design and some results of a series of teaching experiments. The design was created to develop a model for everyday math lessons, that describes the conditions which foster or hinder the construction of new mathematical meanings. The development process includes the students' epistemic processes, their social interactions,…

During several years of experimentation, we accumulated a large collection of data on the analysis of problems generally encountered in algebra and on the reasoning developed by students at different levels when confronted with these problems. Analysis of this data led us to a new way of looking at differences among word problems, and to the…

Whole numbers written in spiral or triangular patterns with spaces occupied by prime numbers blocked in produces interesting visual patterns. Described is a game based on these patterns that may be played at many different levels. (JP)

Describes a number of ways in which the adoption of the metric system in the United States will increase the effectiveness of mathematics teaching. It provides a concrete model for many concepts commonly taught in grades K-12, and thus provides a means by which confusion can be alleviated. (JR)