The purpose of this study was to characterize and compare novice and experienced elementary teachers' pedagogical knowledge and pedagogical content knowledge of three major topics in mathematics: whole number operation, fractions, and geometry. The study participants were 26 preservice elementary teachers and 28 experienced kindergarten through…

In this conference proceedings the overarching theme of research on teaching and learning mathematics in diverse settings and the subthemes of diversity, constructivism and algebra are achieved in the plenary papers. The plenary papers and authors include "Constructivist, Emergent, and Sociocultural Perspectives in the Context of Developmental…

The National Assessment of Educational Progress (NAEP) is the only nationally representative and continuing assessment of what students in the United States know and can do in various academic subjects. The 1996 NAEP in mathematics assessed the current level of mathematical achievement as a mechanism for informing education reform. In 1996, 44…

This document ties the essential skills needed in mathematics to the National Council of Teachers of Mathematics' (NCTM) Curriculum and Evaluation Standards to help facilitate future curriculum development. The overall goal for the 21st century is to make mathematical power a reality for all students. The rationale for this document can be found…

Part of a program to increase the academic growth of preschool and primary grade children through the utilization of brain hemisphere research, this volume contains lessons for improving math, social studies, and science learning. Material is divided into two major sections. Section 1 contains 11 chapters covering the following math skills:…

Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

This guide provides activities based on 13 Mathnet cases that are part of the television program Square One TV. Mathnet is a detective serial which ends each program. Each Mathnet activity consists of a case summary, two short activities, and one longer step-by-step activity, with a reproducible student activity page. Topics include geometry,…

The mathematics objective-item bank contains 100 objectives each represented by five to eight multiple choice items. Grade levels covered are one through eight. The objectives deal with such topics as decimals, fractions, geometry, graphs and charts, integers, numeration, problem solving, and whole number operations. The items have been field…

The Model of Conceptual Learning and Development (CLD) is an analytical, descriptive model. It defines four levels of concept attainment and the possible uses and extensions of attained concepts, specifies the cognitive operations involved in learning concepts at each of the four levels, and postulates internal and external conditions of learning…

California public schools are changing both how they teach math, and also what they expect students to learn. In December 1997, state leaders adopted new math standards that include more than basic arithmetic skills. The framework lists five areas of math called "strands," that define what students from kindergarten through seventh grade…

This document presents information about the apprenticeship training program of Alberta, Canada, in general and the gas utility operator certificate program in particular. The first part of the document discusses the following items: Alberta's apprenticeship and industry training system; the occupation committee and its members; the Alberta…

A summer program at Monument Valley High School (Utah) combines teaching by elders of Navajo craft and design with computer programming and geometry. The program encourages students to learn traditions of their culture and how new technologies relate to these customs. Students use LOGO, an educational graphics software to design patterns for rug…

Presents a discussion illustrating student reasoning while using LOGO to draw tilted squares and rectangles. Suggests that teachers recognize that many students use visual imagery to reason and discuss visual reasoning with students. Gives examples of tasks to promote discussion. (MDH)

Implementation of a problem-based mathematics curriculum, the "Interactive Mathematics Program" (IMP), at three high schools in California has been associated with more than just differences in student achievement. The outcomes that distinguished students who participated in the IMP program from students who followed a conventional…

This article takes a detailed look at how a group of 10-year-old boys mutually construct an evolving multilinear scenario whilst playing a storytelling game in class, borrowing from a number of genres and forms of engagement in ICT-mediated popular culture to perform for each other in patterns which defy linear description or analysis. Their…