NCTM's Process Standards support teaching that helps upper elementary level children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every intermediate-grades teacher the opportunity to explore each standard in depth. With language and examples that don't require prior math…

The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The modules also introduce students to real world math concepts and problems that property and casualty actuaries come across in their work. They are designed to be used by teachers and…

In the Western Gregorian Calendar, the date of Easter Sunday is defined as the Sunday following the ecclesiastical Full Moon that falls on or next after March 21. While the pattern of dates so defined usually repeats each 19 years, there is a 0.08 day difference between the cycles. More accurately, the system has a period of 70 499 183 lunations…

In this article, the author presents a lesson on rotational symmetry which she developed for her students. The aim of the lesson was "to identify objects with rotational symmetry in the staff car park" and the success criteria were "pictures or sketches of at least six objects with different orders of rotation". After finding examples of…

This paper reports on a case-study design experiment in the domain of fraction as number-measure. We designed and implemented a set of exploratory tasks concerning comparison and ordering of fractions as well as operations with fractions. Two groups of 12-year-old students worked collaboratively using paper and pencil as well as a specially…

Although many researchers have examined knowledge building in traditional settings and distance learning, few have examined middle school students' building of mathematical knowledge using mobile phones. The present study uses two well-known models of knowledge building to carry out the examination: the interactive analysis model of knowledge…

In order to collaborate effectively in group discourse on a topic like mathematical patterns, group participants must organize their activities in ways that share the significance of their utterances, inscriptions, and behaviors. Here, we report the results of a ethnomethodological case study of collaborative math problem-solving activities…

The National Council of Teachers of Mathematics (NCTM)'s Process Standards support teaching that helps children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every primary teacher the opportunity to explore each standard in depth. With language and examples that don't require…

This article describes ways in which technology-supported mathematical investigation can engage students with substantive mathematics. It focuses particularly on the ways in which the NCTM Process and Content Standards for the elementary grades can be supported by the use of interactive software such as The Geometer's Sketchpad. (Contains 6…

The general background of this study is an interest in how digital tools contribute to structuring learning activities. The specific interest is to explore how such tools co-determine students' reasoning when solving word problems in mathematics, and what kind of learning that follows. Theoretically the research takes its point of departure in a…

Introduces the Sharp EL-9600 graphing calculator and its capabilities, and discusses its possible uses in mathematics classrooms. (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)

Describes the use of an application for TI-83 and TI-92 calculators called the Symbolic Math Guide (SMG) for teaching and learning the laws of exponents in algebra. Discusses ways in which the SMG can be used for teaching, review, and testing. (MM)

This article presents several activities (some involving graphing calculators) designed to guide students to discover several interesting properties of Fibonacci numbers. Then, we explore interesting connections between Fibonacci numbers and matrices; using this connection and induction we prove divisibility properties of Fibonacci numbers.

This paper describes research into the framework of Computer Analysis Relationship (CAR) and its methodology together with software such as Scientific Notebook in a teaching and learning problem-solving environment to support student investigation as well as to enhance student logical thinking. CAR aims to motivate students how to subdivide a…