This document was designed to help teachers and other school district personnel plan and teach Algebra I and Algebra II in the junior high and high schools. An overview of the Algebra I and Algebra II courses presents the philosophy of algebra instruction for Texas schools, the expected use of technology in mathematics instruction, teacher…

It is important to develop instructional sequences that build on students' current understandings and support shifts in their current ways of thinking. As part of the pilot work for a project on mathematics teaching, classroom performance assessments were conducted to obtain baseline data on students' current statistical understandings. The…

This material on matrices is part of "Introduction to College Mathematics" (ICM), designed to prepare high school students who have students who have completed algebra II for the variety of mathematics they will encounter in college and beyond. The concept goals of this unit are to use matrices to model real-world phenomena, to use matrices as…

Designed as an avenue of communication for all mathematics educators concerned with the views, ideas, and experiences pertinent to two-year college teachers and students, this journal presents articles and regular features related to mathematical and pedagogical themes. This issue includes the following articles: (1) "Fractals for Freshmen? Or,…

This publication contains revised versions of the major papers presented at a research conference on the learning and teaching of algebra. The papers and discussions focused on four major themes: what is algebra and what should it become, in light of continuing technological advances; what has research told us about the teaching and learning of…

Designed as a avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regular features presenting book and software reviews and math problems. Volume 15 includes the following articles:…

Children rarely cite more than one strategy when asked to explain how they solved a particular arithmetic problem, hence their verbal explanations will not necessarily reveal whether they have considered multiple strategies on that problem. However, previous work has shown that, when asked to explain their performance on a task, children often use…

The interactions of three high school juniors (two females and one male) working together on a series of contextual mathematics problems using a multirepresentational software tool were studied. Focus was on determining how a constructivist model of learning, based on an individual problematic-action-reflection model, can be extended to offer…

A panel of expert referees from the Philadelphia school district categorized items from secondary-level standardized mathematics tests according to National Assessment of Educational Progress (NAEP) subobjectives for mathematics. The following tests were covered by the study: (1) California Achievement Tests (Levels 19 and 20); (2) Comprehensive…

The National Council of Teachers of Mathematics (NCTM) has published this updated edition in response to a continuing demand for historical materials to be used in teaching mathematics. This publication was originally issued in 1969 as the "Thirty-first Yearbook." Its primary objective is to make available to mathematics classes important material…

Discussed are the results of the 1988 Indiana State High School Mathematics Contest, which attracted 2,523 students. Four multiple-choice tests (each with a 90-minute time limit) based on proficiencies listed in the "Mathematics Proficiency Guide" and published by the Indiana Department of Education were used. The tests were: (1) Algebra…

This document contains reports and papers from a conference focusing on the political dimension of mathematics education. The program was organized around four large themes: (1) "Mathematics Education and Culture" based on 13 papers; (2) "Society and Institutionalized Mathematics Education" based on 41 papers; (3) "Educational Institutions and the…

This is volume 2 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. An introduction to Soviet education and mathematics education is provided. The purpose of this volume is to substantiate the idea that a genuine solution to…

A mathematics methods course is a critical site for intervening on prospective teachers' past experiences with mathematics, which have often left them without a meaningful understanding of mathematical content, appreciation of what mathematics entails, or confidence in their own ability to do and to learn mathematics. This paper examines the role…

This document summarizes the work of the Math Curriculum Project at San Francisco State University. The project developed seven curriculum units for the middle school mathematics program, using microcomputers as a problem solving tool to foster mathematical thinking and develop insights into mathematical concepts. They also created a prototype…