The idea of problem posing is not new, but it has received increased attention in light of new approaches to mathematics education. Mathematical problem posing builds on young children's natural curiosity. It promotes children's "engagement in authentic mathematical activity"; enables children to "encounter many problems, methods, and solutions…

After evaluating a proposal by Jon Star (2005) that mathematics educators reconceptualize the construct of procedural knowledge, we offer an alternative reconceptualization based on an extension and amalgamation of his and other conceptualizations of procedural knowledge and conceptual knowledge. We then propose some implications for research…

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"…

Criteria for placement tests on math skills of adult basic education (ABE) students are needed to develop tests that are not too "school-like" because the ABE students are often blocked by math anxiety due to past negative school experiences, students may encounter language problems that affect their math skills, simple math problems do…

The "Preparing Elementary Teachers to Teach Mathematics (PETTM) Project" (1988-1991) was a cooperative university/school effort to improve the teaching of mathematics by elementary teachers with its primary focus on improving the university training of preservice teachers (PSTs) in mathematics. This document, volume II of the project's…

Children begin school with the ability to use their informal and implicit conceptual knowledge to guide their problem solving, but shift to the use of superficial strategies in their attempts to solve word problems as they progress through school. This paper describes a study designed to investigate the effects of an instructional sequence that…

Major revision in the U.S. mathematics curriculum since the 1960s have led to significant differences between the mathematics curriculum of the United States and those of many other countries. This study explored how eight Chinese immigrant students, with different cultural backgrounds, mathematics knowledge, and learning styles, learned in an…

A course of study was researched, designed, and implemented by the writer to learn mathematics apprehensions of fifth grade students. The primary goal was to reduce mathematics apprehension through positive mathematics experiences at home as well as in school. The objectives of the program were to develop a more positive feeling about mathematics…

The usage and availability of calculators, computers, and related instructional materials are presented. This publication is a Know-Pak, a summary of materials and articles that is part of a series of information packets developed by the Oregon Department of Education. Topics covered include: (1) a forecast of a computer literacy crisis in…

Provides a rationale and overview of the content of the working draft of the Curriculum and Evaluation Standards for School Mathematics, developed by the National Council of Teachers of Matematics. (PK)

Shows how a manipulative device for taking attendance can be used to exercise mathematical thinking processes in a variety of contexts at different elementary school grade levels. Suggests activities using a magnetic attendance board for gathering classroom information; developing number, estimation, and graphing concepts; forming and verifying…

Presents activities to supplement lessons on length and mass measurement or as part of a unit on atoms or orders of magnitude. Provides a lesson plan using aluminum foil to estimate unit measures, calculate the foil's thickness, and do an atom count. (MDH)

Provides a brief explanation why instruction designed for use with the microcomputer can enhance students' understanding of the concept of function. Presents five lessons designed to help students develop a thorough understanding of functions and their uses, to encourage students to explore and verbalize mathematical ideas, and to assist in the…

The period from adolescence through young adulthood is one of great promise and vulnerability. As teenagers approach maturity, they must develop and apply the skills and habits necessary to navigate adulthood and compete in an ever more technological and globalized world. But as parents and researchers have long known, there is a crucial dichotomy…

This collection of activities demonstrates how the study of elementary mathematics can be extended beyond the school and involve teachers and students in investigative, problem-based experiences. The activities include topics in geometry, concept of number, algebra, measurement, graphing, statistics, and probability, and are organized into five…