Links between content knowledge in the mathematics domain and pedagogical reasoning were compared for three university mathematics professors, three mathematics-methods professors, three high school teachers, three middle school teachers, and three elementary school teachers. In general, teachers with the most training and experience produced…

Investigated the nature of pedagogical competency in student teachers identified as outstanding in mathematics, comparing their planning, teaching, and post-lesson reflections. Data from interviews, observations, and field notes found many commonalities among student teachers. They were not yet skilled in improving activities and explanations to…

Information processing researchers have assumed that algebra symbol skills depend on mastery of the abstract rules presented in the curriculum (Matz, 1980; Sleeman, 1986). Thus, students' ubiquitous algebra errors have been taken as indicating the need to embed algebra in rich contextual settings (Kaput, 1995; National Council of Teachers of…

This paper examines one model of professional development, the use of video clubs in which groups of teachers watch and discuss videotapes of their classrooms. Specifically, the paper investigates the learning that occurred as four middle-school mathematics teachers participated in a year-long series of video club meetings. Over time, discourse in…

In a two-day workshop, 12 teachers who had not previously used graphics calculators not only learnt how to use a calculator but also completed calculator tasks designed to explore their misconceptions and then learnt about students' difficulties. Observation of lessons taught subsequently by 6 of the teachers, and interviews with 15 of their…

In 2001, with funding of $7 million, the Australian Government implemented the "Numeracy Research and Development Initiative"--one of several initiatives introduced by the Australian Government to support literacy and numeracy improvement. Other initiatives included the "National Indigenous English Literacy and Numeracy…

The authors sought evidence of the effectiveness of the TI-Navigator classroom networking system for the second year of a two-year research study of Texas Instruments classroom technology. This randomized control trial compared Algebra I and Geometry instruction using the TI-Navigator system, which includes the TI-84 Silver Edition graphing…

The purpose of this Guide is to provide Mathematics and Science Partnership (MSP) project officials and evaluators with clear, practical advice on how to conduct rigorous evaluations of MSP projects at low cost. Specifically, this is a how-to Guide designed to enable MSP grantees and evaluators of MSP projects to answer questions about the…

This article describes the collaboration between an eighth grade teacher and two college professors in the design and implementation of in vivo field experiences that help preservice secondary school mathematics teachers connect theories of learning with instructional practice.

Staff Development for Pedagogues in Bilingual Math and Science provided two thematically-based workshops to 40 New York City science teachers who taught students of limited English proficiency (LEP) citywide. Workshops emphasized successful teaching strategies as well as psychological aspects involved in teaching LEP students. The project also…

This study revealed some of the factors that influence preservice elementary teachers' instructional planning in word problem solving by examining preservice teachers' conceptions of how to teach word problem solving. Twenty-one interviews of preservice teachers were conducted before and after the mathematics methods course and the protocols were…

This report of the National Assessment of Educational Progress (NAEP) focuses on students' and teachers' reports about the classroom contexts for learning school mathematics in the top-performing one-third of schools compared to the bottom performing one-third. In 1990, 26,652 students from 1,237 schools participated in the study, while in 1992,…

The purpose of this exploratory research was to examine two middle school mathematics teachers' views of the nature of mathematics and their perceptions about the purpose of education as it translates into planning for instruction and teaching. In addition, students in one seventh grade mathematics class of each teacher were surveyed about their…

This booklet is the ninth in a series of nine from the Teacher Training Institute at Hofstra University (New York) and describes the content and the approach of an institute course in which the participants use the personal computer as a personal tool within the mathematical discovery process of making conjectures, testing those conjectures, and…

Research has demonstrated that people have difficulties recognizing ratio relationships involving multiplication. This paper is divided into four sections. The first section describes a study that was part of the three-year study of the mathematical and pedagogical development of prospective elementary teachers. The classroom teaching experiment…