This paper looks at the issue of mathematics learning from a developmental perspective. It begins by focusing on the importance for teachers of understanding how mathematical thinking develops. The New Zealand Number Framework is used as an example of a developmental progression that is of particular relevance to the teaching of mathematics. The…

This document contains an inservice presentation for teaching common problem solving strategies in mathematics word problems. Sections included are: (1) "Introduction"; (2) "Common Word Problem Strategies"; (3) "Break into Parts"; (4) "Guess and Check/Test"; (5) "Working Backwards"; (6) "Look For a Pattern"; (7) "Make or Construct a Table, Chart,…

The "General Mathematics" series is intended to introduce students to basic mathematic principles and concepts as well as to the opportunity to apply those principles and concepts. This color coded module, one of six in the series, will allow students to build or increase their level of understanding of whole numbers and will help…

The "General Mathematics" series is intended to introduce students to basic mathematic principles and concepts and to provide the opportunity to apply those principles and concepts. This module, one of six in the series, will allow students to build or increase their level of understanding of decimals and percents, and will help students…

This book is written for coaches of secondary school students involved in mathematics contests. Benefits, of contests and suggestions for coaching mathematics contests are described. Sample questions are presented for the following contests: (1) Open categories, written competition; (2) Identified topics written competition; (3) Eight-person team…

The purpose of this project was to evaluate the effectiveness of an interactive Level 1 videodisc program called "Mastering Fractions." The evaluation was conducted in two parts. Part 1 was a controlled study that compared the Mastering Fractions program to a more traditional fractions curriculum while controlling for any novelty effect of the…

This document describes mathematical programs on the basic concepts of algebra produced by Louisiana Public Broadcasting. Programs included are: (1) "Inverse Operations"; (2) "The Order of Operations"; (3) "Basic Properties" (addition and multiplication of numbers and variables); (4) "The Positive and Negative…

This competency-based module uses the Ocean County (New Jersey) Vocational-Technical Schools curriculum-infused model for infusing basic skills instruction into vocational education. The model demonstrates the relationship of vocational skills to communication, mathematics, and science. The document begins with a philosophy statement; preface; a…

This paper reports the results of an analysis performed using data from the mathematics component of the 1986 National Assessment of Education Progress (NAEP) for grades 7 and 11. The purpose of the analysis was to study the relationship between mathematics achievement and students' attitude related to learning mathematics for the two grades. The…

A practicum intervention designed to improve the basic skills of second and fourth graders by means of computer-assisted instruction was implemented. The intervention focused on improving students' mathematics and writing scores on the Student State Assessment Test (SSAT), a test administered state-wide to third and fifth graders every year. Staff…

This report contains a brief description of the study in the province of Manitoba, Canada along with recommendations based upon the judgements of the Technical Advisory Committee. Grade levels 3, 6, 9, and 12 were administered the test. The purposes of the test were to: (1) provide benchmark indicators relative to the level of mathematics…

This report contains a description and analysis, along with conclusions and recommendations, of the three components of the 1987 Mathematics Assessment in Manitoba, Canada: (1) the student achievement tests at grades 3, 6, 9, and 12; (2) the comparison testing (1981-1986) at the same grade levels; and (3) the teacher survey. The intent of the…

The fundamentals of algebra and algebraic thinking should be a part of the background of all citizens in society. The vast increase in the use of technology requires that school mathematics ensure the teaching of algebraic thinking as well as its use at both the elementary and secondary school levels. Algebra is a universal theme that runs through…

This paper compares the mathematical understandings and pedagogical content knowledge of beginning teachers entering teaching through an alternate route program with those entering from three standard teacher education programs. The analysis challenges two common assumptions about becoming a secondary school mathematics teacher: (1) that people…

The goal of this practicum was to involve parents in their children's mathematics learning. To accomplish this aim, efforts were made to improve children's performance and attitudes toward mathematics; to enable teachers to recognize the value of activities and games as an alternate to learning by rote; and to offer opportunities for parents to…