This Workshop Leader's Guide contains step-by-step procedures for preparing, organizing, and presenting 1-hour and 3-hour workshops on estimation in mathematics. It was designed to assist Technical Assistance Center staff members and other inservice providers in conducting successful workshops on estimation in mathematics for administrators,…

This essay clarifies what it means to know mathematics by examining ways of knowing multiplication and explores what those ways of knowing imply for the teaching and learning of mathematics in schools. It reviews the perennial argument about whether computational skill or conceptual understanding should guide the school curriculum. A mathematical…

This is the second edition of a curriculum guide for secondary school mathematics. It is one of a series intended to serve as a model for Alaskan school districts as they develop and review their curriculum documents. Listed are topics and concepts, learning outcomes and objectives, and sample learning activities. The learning activities are…

This study aimed to identify the main difficulties faced by physics students and then devise teaching units to overcome the difficulties, and to investigate whether there was any improvement in achievement in physics if mathematical skills were being stressed explicitly in physics lessons. The topics chosen for this study were graphs, errors, and…

The theme of the sixth annual meeting of the North American Chapter of Psychology of Mathematics Education was "The Importance of Psychological Models for Research in Mathematics Learning." The conference proceedings contain papers organized around five major topics. In the first section, eight papers on the learning of arithmetic are…

Decimal numbers have become an increasingly important topic of the elementary and junior high school mathematics curriculum. However, national and state education assessments indicate that students have incomplete and distorted conceptions of decimal numbers. This paper reports initial data from a two-year project designed to elicit and describe…

This book describes how teachers have taught students to behave like working mathematicians who conjecture and prove within a community of learners through the use of microcomputers and the "Geometric Supposers" software. The first section discusses the definition and importance of the conjecture, describes inquiry skills and understandings…

This paper, one of a series considering eight disciplines, describes historical developments and current thinking in mathematics concerning what ought to be included in the elementary school mathematics curriculum. The first part of this paper is devoted to a discussion of the previous involvement of mathematicians in curriculum reform projects.…

This unit is designed to help middle school students care for a real or imaginary horse while they review basic mathematics skills. Sections in this unit include: (1) "Statistics of Your Horse"; (2) "A Home for Your Horse"; (3) "Feeding Your Horse"; (4) "Equipping Your Horse"; (5) "Showing at Halter"; (6) "Working Hunter"; (7) "Open Jumping"; (8)…

Assuming guided inquiry as a pedagogical ideal in mathematics education implies that teaching must connect students' thinking about a subject with curricular agendas and instructional goals. Because students are not typically inclined to consider their active inquiry as a route to acquiring the knowledge that is valued in school, such teaching…

This material assumes the user has the background provided by a good undergraduate course in applied probability. It is felt that introductory courses in calculus, linear algebra, and perhaps some differential equations should provide the requisite experience and proficiency with mathematical concepts, notation, and argument. The document is…

This document deals with basic statistical concepts and operations used in the social sciences. The book was written under the philosophy that students enter statistics courses with a variety of aptitudes and experiences, and that traditional teaching approaches can do little to accommodate individual needs. It sets up an individualized course,…

This is the teacher's guide for Matematica 1, an introduction to numbers for Portuguese-speaking students. The teacher's guide contains corresponding material to the 15 chapters in the student's book. The guide also contains for each lesson suggestions for presentation, a statement of objectives, and instructions for evaluating student learning.…

This handbook was developed to help the vocational teacher aid students in solving mathematical problems in vocational education classes. Most of the examples in the handbook were derived from metal-working and industrial mechanics classes; however, the procedures explained through them will work in any vocational class. The handbook is divided…

This is the first unit of a 15-unit School Mathematics Study Group (SMSG) mathematics text for high school students. Topics presented in the first chapter (Structuring Space) include: lines and points; planes; intersections; intersections of lines and planes; betweenness and segments; separation; angles; locating positions and points; coordinates;…