In this paper we report on some patterns of reasoning, which emerged during an activity of proving a mathematical statement performed by nine grade and university mathematics students. The statement in question involves drawing figures, working in arithmetic and in algebra. As for secondary students we detected fluency, flexibility and ability of…

The proceedings of the 24th annual meeting of the Psychology of Mathematics Education North American Chapter (PME-NA) contains research reports, plenaries, and poster presentations. Papers include: (1) "What Do We Believe about Teacher Learning and How Can We Learn With and From Our Beliefs?" (Deborah Loewenberg Ball); (2) "Toward Evidence for…

This teaching unit is designed to help students in grades 4-8 explore the concepts of algebra in the context of exploring the universe. The units in this series have been developed to enhance and enrich mathematics, science, and technology education and to accommodate different teaching and learning styles. Each unit consists of a storyline…

This paper presents the results of a pilot study conducted to examine Web-based instructional content for mathematics. Two research questions were posed during the study: (1) how is technology being used to represent mathematical concepts online? and (2) how do the representations work together as a system? A mixed method content analysis design…

This article addresses the question: "What are the implications for the preparation of prospective elementary teachers of 'early algebra' in the elementary grades curriculum?" Part of the answer involves language aspects of algebra: in particular, how a change in pre-service teachers' attitudes to algebra, from instrumental to relational, is…

We are studying two groups of preservice teachers' conceptions, progression and especially the concept of function in connection to y=x+5 when they are taking a course in algebra or one in calculus in their third and sixth term, respectively, in a teacher preparation program. There is a similar development in that they use to a higher degree a…

Research shows that introducing basic forms of algebraic reasoning in elementary school enhances children's learning of arithmetic. In this guide, a research and a professional development project are described that have taken a practical approach to introducing algebraic reasoning to elementary students in Massachusetts. (Author/SOE)

This document features the experiences of three science teachers who video and audiotaped classroom proceedings in order to go back over what was said in classroom events, to explore the intentions and ideas that were perhaps not fully understood at the time. Mary DiSchino, who teaches 3rd and 4th graders, teaches a science curriculum which she…

This paper reports on efforts to design a computer-based instructional unit for 7th grade students that would not only address state standards but would also provide some groundwork for the students' subsequent formal study of algebra. SimCalc Mathworlds software was used to explore the same motion from different perspectives. The overall…

This study investigated cognitive constructs to be measured by word problems in algebra. One performance-based assessment was administered to 290 high school students. Students' responses were scored by three scoring systems: the correct/incorrect criterion (0/1); a holistic scoring rubric (0-4); and an analytical scoring rubric for measuring…

Block scheduling has grown rapidly in recent years. In North Carolina, 77 schools started block scheduling in 1995-96, bringing the total number of blocked schools in the state to 207. A previous evaluation compared 1995 End-of-Course (EOC) Test scores for block-scheduled (blocked) and nonblocked schools. This report presents results of the…

The concerns of two teachers at a school where computer-integrated instruction was being used in five second-year algebra classes were studied. High levels of personal and management concerns, coupled with low refocusing concerns, were found. Both teachers were judges as mechanical users of computer materials. (MNS)

Reports findings of a research project in Israel that utilized drill exercises on a classroom computer terminal to improve the attitudes and grades of 10th-grade algebra students who had received low grades in mathematics and the natural sciences. Educational aspects, methods, and materials are described. (JD)

Describes a research project that examined the effects of the Computer-Intensive Algebra (CIA) and traditional algebra curricula on students' (N=802) understanding of the function concept. Results indicate that CIA students achieved a better understanding of functions and were better at the components of modeling, interpreting, and translating.…

Discusses the teaching of linear algebra with and without computer software. Considers class format with regard to computer usage, the effect of holding classes in the computer laboratory, homework, computer projects, and student responses. Appendices contain topic tutorials and sample computer projects. (DDR)