Developed to provide assistance and support to local schools that want to improve their secondary mathematics programs, this guide provides an updated view of what North Dakota educators feel is necessary in a secondary mathematics curriculum. An overview of perceived statewide mathematics objectives and a review of national perspectives on…

This project was designed to study the effects of an inservice model on the quantity and quality of developmental mathematics instruction provided by participating teachers. Participants were seven teachers of students in grades from 2 to 6 who had volunteered for the project after being selected as potential lead teachers in mathematics. The…

This instructional manual consists of 11 competency-based units for a mathematics course for trade and industrial programs in Texas. Each instructional unit includes the following basic components: unit and specific objectives, notes to the instructor (outline of steps to follow in accomplishing specific objectives), information sheets,…

This document was prepared to assist teachers in Virginia in three ways: (1) by assessing student achievement on the competencies adopted by the State Board of Education; (2) by diagnosing student errors in mathematics; and (3) by prescribing instructional activities designed to promote student mastery of skills assessed in the competency program.…

In order to assist elementary and middle school teachers in teaching the skills associated with the concepts of perimeter, area, and volume, this addition to the National Council of Teachers of Mathematics "How to..." series is intended to supplement a text with practical information written in nontechnical language. Each chapter…

Research in this project studied cognitive processes involved in understanding and solving problems used in instruction in the domain of mathematics, and explored implications of these cognitive analyses for the design of instruction. Three general issues were addressed: knowledge required for understanding problems, knowledge of the conditions…

This paper provides an historical perspective on the possible roles of cognitive technologies in thinking as "reorganizers" of the mind. It suggests that by understanding the transformational roles of advanced technologies for mathematical thinking, positive contributions can be made to research and practice on the use of computers in…

The Middle Grades Mathematics Project (MGMP) has been an effort to produce exemplary mathematics curriculum units for grades six, seven, and eight, evaluate the compatibility of those units in classrooms, and to study the nature of the effort needed to help teachers to teach the units effectively in their classrooms. Each activity designed by MGMP…

This paper gives results of a review of 41 high school, junior high school, and college algebra and mathematics textbooks. The review focuses on two facets of the curriculum: (1) the presentation of the concept of variable; and (2) word problems and the presentation of problem solving skills. With regard to the variable concept it was concluded…

Previous work has identified four areas of difficulty that students seem to have with the topic of similarity: (1) understanding the definition of similarity; (2) proportional reasoning; (3) dimensional growth relationships; and (4) correspondences in right triangle similarity. This paper reports the results of an investigation into high school…

The Mathematical Sciences Education Board (MSEB) is one of the nine major units of the National Research Council (NRC). It was established to provide a continuing national overview and assessment capability for mathematics education. The NRC's special concern with the quality of mathematics education is based on two considerations: mathematics is…

This document reports on a project that is examining some of the difficulties encountered in teaching word problems involving multiplication, division, and intensive quantities. Some of the various uses of these operations and their structures are considered. Described are discoveries and assumptions regarding students' cognitive models of these…

This document is the last of three volumes of the proceedings of an international seminar which focused on student misconceptions in science and mathematics as well as teaching strategies intended to deal with those misconceptions. An introduction to the volume explains the format of the conference and the organization of the sessions. It stresses…

This publication, designed to help teacher educators profit from the experience and wisdom of colleagues, brings together articles from "The Arithmetic Teacher" on preservice elementary school mathematics teacher education. This collection of articles has two specific purposes. One is to serve as a reminder of the broader issues and concerns that…

Alaska's sex equity law requires school districts to establish written procedures for: (1) the biennial training of certificated personnel in the recognition of sex bias in instructional materials and in instructional techniques which may be used to overcome the effects of sex bias; (2) the biennial training of guidance and counseling staff in the…