Two pilot studies investigated the effects of using Instructional Math Play (IMP) Kits, pamphlets with which individuals may play the mathematical game EQUATIONS against a computer program. Twenty-nine junior high students in a high-ability mathematics class completed varying numbers of the kits in five 48-minute sessions during a two-week period;…

A three unit mathematics course entitled Introduction to Computing evaluated the effectiveness of programing as an aid to learning math concepts and to developing student self-reliance. Sixteen students enrolled in the course at the College of Notre Dame in Belmont, California; one terminal was available, connected to the Stanford Computation…

The purpose of this study was to determine if selected mental, mathematical, reading, and personality assessments of sixth-grade pupils could predict high achievers in mathematical verbal problem solving. The subjects were 112 sixth graders, 56 classified as high achievers in mathematical verbal problem solving and 56 classified as low achievers…

Using the capability of the computer, the authors have designed an instructional program that emphasizes students' problem solving skills instead of their computational skills and that allows the collection of a large and detailed data base. This report describes the procedures used to (1) identify structural variables that affect students'…

Investigated whether dropouts and other students having difficulty with physics could be identified by including mathematics reasoning items along with mathematics skill items on a 13-item mathematics pretest and by using records of past performance in conjunction with the pretest. Sample included 483 students in an introductory, noncalculus,…

Presented are abstracts of 10 papers presented at the 1984 National Educational Computing Conference. Paper topics deal with science teaching using microcomputers, exploring mathematical concepts with LOGO, a chemistry problem-solving program, interactive computer graphics in mathematics, an educational game to teach science/mathematics, learning…

This easy-to-navigate guide offers research-based teaching strategies for introducing prekindergarten and elementary school students to the content and skills recommended by the NCTM principles and standards for mathematics. Using the popular format of the "What Successful Teachers Do" books, the authors present 47 dynamic learning activities,…

Spontaneity has been linked to high quality learning experiences in mathematics (Csikszentmihalyi & Csikszentmihalyi, 1992; Williams, 2002).This paper shows how spontaneity can be identified by attending to the nature of social elements in the process of abstracting (Dreyfus, Hershkowitz, & Schwarz, 2001). This process is elaborated…

This book contains a collection of fraction lessons that support curriculum and instruction. The goals of the lessons are to give all students the chance to: (1) extend their understanding of the place value system to include decimals; (2) learn how decimals relate to fractions; (3) represent, read, and interpret decimal numerals; (4) compare…

Within a major numeracy project, there were marked differences in achievement between classes, which, as reported in Sullivan and McDonough (2002), we attribute to the teachers. To gain insights into the practices of effective teachers, six case studies of highly effective teachers at the Prep (first year of school) to Grade 2 level were…

Within an elaborated social-constructivist perspective, I conducted a teaching experiment with two fourth graders to study how a teacher and students can jointly produce the content-specific reversible fraction conception. Ongoing and retrospective analysis of the data revealed the non-trivial process by which students can abstract multiplicative…

This collection of lesson plans and activities for students aged 9-11 years is based on a science curriculum developed by a group of Caribbean nations. The activities pertain to topics such as place value, prime and composite numbers, the sieve of Eratosthenes, square numbers, factors and multiples, sequences, averages, geometry, symmetry,…

This document contains the proceedings of the 25th annual Conference of the International Group for the Psychology of Mathematics Education (PME). It features plenary lectures, research forums, discussion groups, working sessions, short oral communications, and poster presentations. Papers in Volume 1 include: (1) "The P in PME: Progress and…

The tension between providing opportunities for mathematical understandings and the need to teach widely-used notations and algorithms is explained in terms of a folk pedagogical conflict. Divergent pedagogical practices are shown to follow from different mental and epistemological assumptions and manifest themselves in equally divergent student…

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. Sixth grade assessment materials and the "Strategies for Instruction in Mathematics" suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of levels of…