This publication contains revised versions of the major papers presented at a research conference on the learning and teaching of algebra. The papers and discussions focused on four major themes: what is algebra and what should it become, in light of continuing technological advances; what has research told us about the teaching and learning of…

A training procedure was developed to improve (or to encourage) the construction of a meaningful problem representation by mentally retarded and learning disabled children. Children are taught to use an external visual representation for arithmetic word problems, in which the meaning of the problem is reflected. The construction of this visual…

This document is intended to describe several software learning environments in an order that parallels a reasonable sequence of use by students. It also describes a planned an designed, but not yet implemented, extension of these environments from the discrete to the continuous case. Each of the implemented environments was developed in…

Use of a computer programming language in problem-solving activities provides an opportunity to examine how young children use a restricted set of language primitives. The generation, and execution of computer instructions was used as a verification stage in the problem-solution process. The metric is intended to provide a descriptive…

The Triple Representation Model of problem solving is presented. The use of microcomputers in this problem-solving environment is discussed, and examples are provided. The integration of this method into the mathematics curriculum is described. (CW)

Mathematical problem-solving processes used by 27 eighth graders who had studied programming were compared to those of 27 who had not. Programmers used more systematic approaches and reviewed solutions more often than nonprogrammers but did not make more use of equations or do more planning. (PK)

Activities were provided for a target group of third grade students who were experiencing difficulty in mastering the skills required to solve problems involving money. The program's aims were to remediate these students by giving them the opportunity to use instructional software that would increase their mathematical vocabulary, strengthen the…

Reports on research designed to systematically examine how the use of personalized word problems as practice examples would affect learning and attitudes. A computer program was used to generate the problems. It was concluded that presenting problems in familiar contexts made materials more interesting and understandable for students. (PK)

Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)

Describes some topics of French research: relationships between teaching and learning, choices and constraints of the didactic system, role of the computer, and forms of the functioning knowledge. (YP)

The Math Skills Program of the New York City Public Schools is designed to provide remediation in mathematics for students who have mathematics scores that are two or more years below grade level, or who have failed the Mathematics Regents Competency Test. During the 1985-86 school year, 58,192 students from 113 high schools participated in the…

The papers and conference proceedings recorded in this monograph are from a conference on effective mathematics teaching. In addition to acknowledgements, foreword, introduction and participant list, the following articles are included: (1) "Teaching for Higher-Order Thinking in Mathematics: The Challenge for the Next Decade"; (2)…

This study examined computerized classwide applications of curriculum-based measurement (CBM) to improve teachers' math planning within large group instructional settings, using a mathematics operations curriculum in 10 sixth grade classes. Preliminary findings suggest CBM increases teachers' abilities to incorporate students with disabilities…

A discussion of mathematics curriculum and teaching methods based on the standards issued by the National Council of Teachers of Mathematics (NCTM) and National Council of Supervisors of Mathematics (NCSM) is presented. The standards emphasize the connectedness of each of the branches of mathematics and underline the relationship of each branch to…

A conference proceedings on mathematics education research contained the following keynote addresses: "Doing and Constructing Mathematics in Screen-Space" (Mason); "Students' Understanding of Geometry: Theoretical Perspectives" (Pegg); "The Australian Research Council and its Role in Supporting Education Research"…