This book is a teacher's resource guide designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include whole numbers; decimals and money; fractions, ratios,…

Building on previous research on the tendency in students of diverse ages to overrely on proportionality in different domains of mathematics (e.g., geometry, probability), this study shows that--when confronted with missing-value word problems--Flemish primary school pupils strongly tend to apply proportional solution strategies, also in cases…

This paper presents the results of a pilot study conducted to examine Web-based instructional content for mathematics. Two research questions were posed during the study: (1) how is technology being used to represent mathematical concepts online? and (2) how do the representations work together as a system? A mixed method content analysis design…

The focus of this study was to investigate mental computation conceptual frameworks that Heirdsfield (2001c) formulated to explain the difference between proficient (accurate and flexible) mental computers and accurate (but not flexible) mental computers. A further aim was to explore the potential for students' developing efficient mental…

This guide is a collection of ideas for mathematics activities which were assembled and tested by primary teachers. The activities supplement the teaching of basic numeracy and include topics such as algorithms, pyramids, magic squares, multiples, and number values. The guide is organized into four sections: (1) addition and subtraction; (2)…

This guide is linked to a science curriculum and was designed for use by those involved with early childhood education. The goal of this document is to enable caregivers and teachers to use the curriculum in a more varied, stimulating, and developmentally appropriate way. Topics discussed include student attitudes toward mathematics, parent…

Research shows that introducing basic forms of algebraic reasoning in elementary school enhances children's learning of arithmetic. In this guide, a research and a professional development project are described that have taken a practical approach to introducing algebraic reasoning to elementary students in Massachusetts. (Author/SOE)

Elementary notions to (1) clarify meaning of "set , (2) suggest why the notion of set is an important one, and (3) give some hints as to how a teacher might use the word in the classroom. (RP)

Variation in syntactic difficulty in arithmetic problems is studied to determine its influence on students' ability to solve problems correctly. Findings in a study of elementary school students indicated syntactic difficulty affects problem solving ability, regardless of sex (f=fiche number). (MH)

The "class trap" is defined as the problems which can arise when all students in the class are required to progress at the same rate. To illustrate this concept, a case study is presented of arithmetic instruction in a single class, then strategies to avoid the trap are outlined. (SJL)

Four ideas for language classroom activities are presented, including a counting and calculation game, an exercise for developing familiarity with the parts and style of a newspaper article, an activity to help adolescents anticipating travel in a French city, and analysis of the textual structure of a current events circle. (MSE)

Computational strategies and estimating abilities of 466 Japanese students were tested and interviews with a subsample of that group were used to compare with a theoretical model based on a sample from the United States. Results of the comparison of computational and estimating abilities are presented. (CW)

The differential effects of computer-assisted instruction for high-achieving and low-achieving students were examined for seven elementary students of varied background. Higher-achieving students were more able to adjust to the requirements of computer work and to derive benefit from it than were lower-achieving students. Implications for teaching…

Investigated was the effect of presenting arithmetic word problems in the students' native language or in English on Nigerian students mathematics skills and strategies. Findings indicated that both private and public school students performed better when the word problems were presented in their native language. (CW)

Hypothesized that arithmetic calculating procedures and types of problems that necessitate more subproblems will lead to longer solution times. Data from 36 third grade students who mentally computed problems with sums greater than 20 and less than 100, confirmed both hypotheses. (RH)