A device is suggested for constructing triangles with the same area and the same perimeter. A proof is given as is a proof of necessary conditions for a special case. The question of congruence of the triangles is left to the reader. (LS)

This article offers a novel way of having students construct models of the five Platonic solids without the use of glue. Patterns and directions for students are provided. (DT)

Research reported during the 1973 calender year is listed, accompanied by brief annotations of findings. The listing is alphabetical by author within each of three categories: research summaries, journal-published reports, and dissertation abstracts. (Author/LS)

Examination of models for representing integers demonstrates that formal operational thought is required for establishing the operations on integers. Advocated is the use of many models for introducing negative numbers but, apart from addition, it is recommended that operations on integers be delayed until the formal operations stage. (JP)

On a triangular grid of equilateral triangles an analytical procedure is presented for solving puzzles that require one to measure out a specified amount of liquid from containers of various volumes. (JP)

This book is designed to introduce the reader to some fundamental ideas about probability. The mathematical theory of probability plays an increasingly important role in science, government, industry, business, and economics. An understanding of the basic concepts of probability is essential for the study of statistical methods that are widely…

This book is designed to introduce the reader to some fundamental ideas about probability. It is assumed that the reader has completed chapters 1 to 7 of SMSG Introduction to Probability, Part 1. While the book is designed for junior high school students, some elementary algebra is required for a number of the exercises. The difficult exercises…

The purpose of this project is to teach learning and understanding of mathematics at grades seven through nine through the use of science experiments. Previous knowledge of science on the part of students or teachers is not necessary. Lists of needed equipment are found at the beginning of this volume. It is strongly recommended that the teacher…

The purpose of this text is to teach learning and understanding of mathematics at grades seven through nine through the use of science experiments. Previous knowledge of science on the part of students or teachers is not necessary. The text is designed to be usable with any mathematics textbook in common use. The material can be covered in four…

These materials are intended to explain the approach adopted by the writers of the SMSG textbook, First Course in Algebra. This book is not a ninth-grade textbook or teacher's commentary. Many of the ideas presented are too difficult for most beginning students, but they are ideas which the author believes teachers should master. It is assumed…

This volume was organized at the request of the SMSG Panel on Research for their use in identifying needed research in mathematics education. The five papers provide a review of research in each of their areas up through early 1969. Papers included are: (1) Attitudes Toward Mathematics, by Lewis R. Aiken, Jr.; (2) Classroom Teaching of…

This project report explains the goals of the Academic Advancement Program, briefly describes the background events leading to the development of the program, outlines its essential elements, summarizes its contents, and details the cost and procedure for replication in other school districts. (Author/DT)

This paper is concerned with a low cost alternative for providing computer experience to secondary school students. The brief discussion covers the programmable calculator and its relevance for teaching the concepts and the rudiments of computer programming and for computer problem solving. A list of twenty-five programming activities related to…

Activities in which students make and prove conjectures and devise their own geometric axiom systems are discussed. (SD)

Examples of activities involving geometric construction are suggested for discovery-oriented instruction. (SD)