Unit 17 in the SMSG secondary school mathematics series is a student text covering the following topics: number systems, coordinate geometry in the plane, the function concept and the linear function, quadratic functions and equations, complex number systems, equations of the first and second degree in two variables, systems of equations in two…

A series of questions can be posed and resolved in the process of teaching that the decimal expansions of rationals are terminating or repeating. (SD)

Patterns emerging when two-digit numbers in various bases are operated on by squaring and summing the digits. (SD)

Several topics concerning numeration systems that are appropriate for small group projects are suggested. (DT)

Beginning with peg manipulation the author sets up a different multiplication system and set of primes. (JM)

The purpose of this report is to make a tentative contribution to the knowledge of students' understanding of the significance of numerical information. The article relates to a study made by the author. (Author/MK)

Discusses how American and Canadian Indians created mathematical connections and the first numeration systems used north of Mexico. A listing of various tribes, their locations, and how their simple or complex methods of computing may have originated from establishing a correspondence between different parts of the body and quantities they wished…

Described is a study designed to extend a theoretical model of children's progression from a perceptual to an abstract concept of number. The implications of this research for the design of mathematics curricula are discussed. (CW)

This outline is for a pre-algebra course designed to prepare students for algebra or to satisfy a one-year mathematics requirement. A key purpose is to present a practical mathematical experience. A detailed outline is given with a suggested time allotment for each chapter. A discussion of each topic follows with teaching suggestions and examples.…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include the decimal system, exponential notation, base seven, and the binary and duodecimal…

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

The sixteen chapters of this book provide the core materials for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…