Students today begin using computers and playing video games as early as two years old. The technology behind these games is more complicated than most people can imagine. In this article, the author presents some simple number games which seem easy at the beginning, but as the games are repeated, mathematical content becomes more of the focus…

A semiotic perspective on mathematical activity provides a way of conceptualizing the teaching and learning of mathematics that transcends and encompasses both psychological perspectives focussing exclusively on mental structures and functions, and performance-focussed perspectives concerned only with student's behaviours. Instead it considers the…

Classroom communication has been recognized as a process in which ideas become objects of reflection, discussion, and amendments affording the construction of private mathematical meanings that in the process become public and exposed to justification and validation. This paper describes an explanatory model named "interpreting games", based on…

It has been observed that students react in similar ways to mathematics and science tasks that differ with regard either to their content area and/or to the type of reasoning required, but share some common, external features. Based on these observations, the Intuitive Rules Theory was proposed. In this present study the framework of this theory…

Heuristic training alone is not enough for developing one's mathematical thinking. One missing component is a mathematical point of view. This study reports findings regarding outcomes of a historical approach calculus course to foster Taiwanese college students' views of mathematical thinking. This study consisted of 3 stages. During the initial…

Nondeterminism is an essential concept in mathematics and one of the important concepts in computer science. It is also among the most abstract ones. Thus, many students find it difficult to cope with. In this article, we describe some didactic considerations, which guided the development of a "Computational Models" course for high school…

More than 15 years after its publication of influential national standards in mathematics, a leading professional organization has unveiled new and more focused guidelines that describe the crucial skills and content students should master in that subject in elementary and middle school. The National Council of Teachers of Mathematics released…

Background and aims: In order to develop arithmetic expertise, children must understand arithmetic principles, such as the inverse relationship between addition and subtraction, in addition to learning calculation skills. We report two experiments that investigate children's understanding of the principle of inversion and the relationship between…

Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the "Math Academy--Play Ball! Explorations in Data Analysis & Statistics," which teachers can use to…

EQUALS is a teacher education program that helps elementary and secondary educators acquire methods and materials to attract minority and female students to mathematics. It supports a problem-solving approach to mathematics which has students working in groups, uses active assessment methods, and incorporates a broad mathematics curriculum…

This study was designed to investigate the effects of a dynamic instructional environment, English proficiency, and visualization level, independently and interactively, on middle school students' construction of the concepts of reflection and rotation. The effects of a dynamic instructional environment and English proficiency on students' two-…

This study examines teachers' mathematical understanding of various representations of slope and their knowledge for teaching the concept of slope. Specifically examined in this research are the concept images and concept definitions of slope held by both preservice (N=18) and inservice (N=21) secondary mathematics teachers. Data collected include…

This book is divided into eight sections. Section One, "A New Look at Mathematics: Rationale and Strategies for Reforming Mathematics", includes: An Overview of Mathematics Reform; Management for Computation Skills; Math Strategies for Individualized or Small Group Instruction; Math Strands Planning Activity; and Performance Assessment. Section…

The purpose of this activity book is to provide fun while learning and reinforcing mathematics in the following categories: (1) mathematical concepts and applications; (2) mathematical computations; (3) geometry; and (4) mathematics for daily living. A gameboard and playing cards are provided in this book. A die, pawns, and a container for the…

Elementary school mathematics programs based on textbooks can be analyzed according to mathematical concepts and skills that cause students difficulty by using a telephone assistance service. The Mobile County Public School System's (MCPSS) Homework Hotline in Alabama was used to collect data from callers requesting help with homework from…