This article describes a professional development model in which middle-grades teachers focused on algebraic thinking as part of their participation in a mathematics academy.

The Statistical Reasoning Assessment or SRA is one of the first objective instruments developed to assess students' statistical reasoning. Published in 1998 (Garfield, 1998a), it became widely available after the Garfield (2003) publication. Empirical studies applying the SRA by Garfield and co-authors brought forward two intriguing puzzles: the…

This paper examines ways in which coherent reasoning about key concepts such as variability, sampling, data, and distribution can be developed as part of statistics education. Instructional activities that could support such reasoning were developed through design research conducted with students in grades 7 and 8. Results are reported from a…

This paper outlines the nexus between mathematics content knowledge and pedagogical knowledge in developing pedagogical content knowledge. Increasing expectations about what students should know and be able to do, breakthroughs in research on how children learn, and the increasing diversity of the student population have put significant pressure…

A new method of analyzing mathematics attitudes through symbolic drawings, situated within the field of Jungian-oriented analytical psychology, was applied to 52 preservice elementary teachers before and after a mathematics methods course. In this triangulation mixed methods design study, pretest images related to past mathematics experiences…

The 2007 National Assessment of Educational Progress (NAEP) evaluated students' understanding of mathematics concepts and their ability to apply mathematics to everyday situations. Students demonstrated their knowledge of these critical skills by responding to questions about number properties and operations, measurement, geometry, data analysis…

After 10 years of teaching rule-driven, procedure-based, algorithm-oriented mathematics, an elementary teacher describes how she began to rethink her teaching style after returning to school for a graduate degree. Her rethinking is based on the first of four student teaching events that spanned an entire school year in which she used the…

This book contains a set of authentic performance assessments that offer students the opportunity to demonstrate knowledge and multiple science abilities through communication, problem solving, inventiveness, persistence, and curiosity. The specific knowledge and science abilities are drawn from those identified in Benchmarks for Science Literacy…

The call for educational reform has caused mathematics curriculum, instruction, and assessment to come under both professional and public scrutiny. The three elements contesting for leadership in assessment reform are the conventional testing agencies, reformers led by the National Council of Teachers of Mathematics (NCTM), and political agencies…

This book grew out of a conference sponsored by the Educational Testing Service and the University of Wisconsin's National Center for Research in Mathematical Science Education that focused on assessment issues in mathematics education. The book's 16 chapters focus on clarifying and articulating the goals of assessment and instruction. They are…

This booklet is one in a series on different education topics intended to help parents make the most of their child's natural curiosity and become an integral part of reaching the National Education Goals as set forth by the President and governors in 1990. The book suggests ways that parents can generate interest in mathematics in children aged…

A study investigated how elementary school students form a mental representation of simple addition and subtraction word problems, focusing on critical elements in the problems' semantic structure, and the extent to which the accuracy of the solutions found was related to the students' English language proficiency when the problems were presented…

The purpose of this project was to develop and field test supplementary mathematics curriculum materials that could be used in a typical school setting to introduce elementary school children to calculators and computers in the process of solving everyday mathematical problems. The materials were designed to help teachers: (1) familiarize children…

This document contains plenary and contributed papers presented at the seventh PME meeting, held near Jerusalem, Israel in July 1983. Three plenary papers focused on implicit models in solving problems, discussions with teachers and children, and heuristics. Contributed papers were classified under seven headings: learning theories…

This guide is designed to help classroom teachers implement the Alabama Course of Study: Mathematics K-12. It is inclusive also of the objectives tested by the Stanford Achievement Tests and the Alabama Basic Competency Tests. One characteristic of the curriculum guide is that it clearly states what students should learn in each grade level. These…