Outlined are the minimum requirements for a quinmester course intended to strengthen a student's experience in a first algebra course, prior to entry to high school geometry and the second algebra course. After a brief description of overall goals and strategies, further details are presented in eight sections. Each section gives performance…

This booklet includes short descriptions of the history of the calendar, Napier's Bones, and the beginnings of algebra. The remaining two stories discuss the number nine raised to the ninth power of nine, and repeating decimals. (DT)

This document is the report of a curriculum writing session, and covers three activities: (1) a textbook for grade seven, written using the outlines produced the previous year (SE 012 735), was reviewed and criticized; (2) the outlines for grades eight and nine, also produced the previous year, were completed in greater detail; and (3)…

This is a collection of 24 papers presented or prepared by participants of the Comprehensive School Mathematics Program (CSMP) International Conference in 1970 covering a wide range of topics in mathematics and geometry education. Conference recommendations are summarized, including the use of geometry to lead into other branches of mathematics…

This booklet describes a one year college course for students in the lower half of the mathematics ability range. The main aim of the course is to "provide the students with enough mathematical literacy for adequate participation in the daily life of our present society." A second aim is remedial, to allow a student to continue with…

This twentieth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 18. For each of the chapters in Unit 18, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, answers to exercises are provided, and sample text questions are included. (DT)

Unit 23 in the SMSG secondary school mathematics series is a student text covering the following topics in matrix algebra: matrix operations, the algebra of 2 X 2 matrices, matrices and linear systems, representation of column matrices as geometric vectors, and transformations of the plane. Listed in the appendix are four research exercises in…

This paper reports on a study which was performed to replicate and extend the findings of Hendrix with regard to verbalization and discovery learning. College algebra classes were randomly assigned to three verbalization conditions: (1) no student verbalization of generalizations required, (2) students make written verbalization of generalization,…

Equations or systems of equations can be associated with letters of the alphabet printed in the coordinate plane. Messages can be coded and decoded with a computer or by hand. (SD)

Described is mathematics used by the ancient Babylonians and recorded on tablets which have been dated 3000-2000 B.C., and 700-500 B.C. (SD)

Students were presented with the problem of finding all magic squares of order three. (SD)

Convex polyhedra having square or triangular faces are analyzed algebraically. (SD)

Classroom activities that provide meaningful practice, and at the same time motivate students, are the subject of this article. Several activities appropriate for first-year algebra are discussed; e.g., a prepared matrix of algebraic numbers, cross-factor puzzles, and number tricks. (MP)

The solution of cubic equations is obtained by constructing intersecting conic sections. Details for a particular cubic are given. (MP)

A project for the teaching of mathematical concepts such as tessellation, algebra, and symmetry through artistic form is discussed. (MN)