Algebra is one of the top priorities of mathematics instruction for the elementary and middle grades. This book is designed to help 3-5 teachers meet the challenge of making algebra an integral part of their mathematics instruction and realize both what to teach and how to teach central algebraic concepts. Classroom-tested lessons help teachers…

This paper explores the role of open-ended realistic division problem in the development of algebraic reasoning. A written test was administered to 672 students. From the results of this test students were selected for semi-structured interviews. The students were interviewed in pairs and were asked to explain to each other how they would solve…

We present classroom research on a variant of the guess-my-rule game, in which nine-year-old students make up linear functions and challenge classmates to determine their secret rule. We focus on issues students and their teacher confronted in inferring underlying rules and in deciding whether the conjectured rule matched the rule of the creators.…

This paper reports on part of a wider study on the teaching and learning of the conventions of formal algebraic notation. Through the analysis of paper tasks given to teachers I argue that not only does the inherent mathematical structure have an effect on the way in which an equation is manipulated but also the visual impact of notation itself.…

This study compared the effects of two different special educator roles within high school algebra classes containing special needs students. The special educator served as either in-room assistant or as co-teacher. The study was conducted for one chapter of algebra study over a 3-week period. No significant differences between groups were found…

This book is a compatible instructional component to any algebra textbook and was developed by University of Hawaii under the Dwight D. Eisenhower Mathematics and Science Education Improvement Act. The tasks align with the content and instructional approach used in daily classes that emphasize standards-based teaching and learning. The tasks…

Math Sense consists of five books that develop from basic to more advanced math skills. This document contains a placement test used with Math Sense to help students and their teachers decide into which Math Sense book to begin working. The placement test is divided into six parts, each consisting of 10 to 22 problems, and is based on exit skill…

Papers from the 22nd Annual Conference of the Mathematics Education Research Group of Australasia Incorporated include the following: (1) "Making Sense of Primary Mathematics" (Gillian M. Boulton-Lewis); (2) "Seeking a Rationale for Particular Classroom Tasks and Activity" (Peter Sullivan); (3) "Research in Mathematics…

This book was developed for teachers, youth group leaders, after-school child care providers, and parents, who may not have the time or the expertise to develop strategies for preparing students to be effective problem solvers. The content is organized in a pyramid style to make it easy to locate and grasp the information provided. Information on…

This yearbook sharpens the views of mathematical reasoning and its development at all grade levels. Various perspectives about the nature of reasoning and addresses the many issues and concerns involving mathematical reasoning such as how learners reason in mathematics, how communication promotes reasoning, how teachers gather evidence of student…

Attitudinal and attributional variables relating to the election of mathematics courses by females and males are identified. A small set of variables explaining the variance in female and male mathematical plans was found. These results may help in understanding why larger proportions of males than females elect mathematics. (Author/GK)

A program designed to tutor algebra students in inequalities is presented. The program is designed around the graphics of the Apple II computer, and randomly picks graphs, and shades inequalities. (MP)

A program designed in the BASIC programing language to provide drill and practice with positive and negative numbers is presented. (MP)

This article reports a field evaluation of experimental first-year algebra materials, "Algebra Through Applications." Effectiveness of the materials was evaluated in terms of achievement, attitude, transfer to consumer, problem solving, readability, and implementation. Overall, it was found the experimental materials could be used…

Discusses the importance of toys in improving students' motivation and understanding of scale, proportions, and ratios by connecting toys with their real-life counterparts. Presents a unit that includes measurement activities in order to teach these topics by comparing toys and actual measurements for known and unknown scale toys. (ASK)