This report of a statewide Mathematics Advisory Committee outlines the kindergarten through grade eight mathematics curriculum in terms of nine "strands": Numbers and Operations, Geometry, Measurement, Applications of Mathematics, Statistics and Probability, Sets, Functions and Graphs, Logical Thinking, and Problem Solving. Broad goals…

Two studies attempted to determine whether a programed instruction booklet on a task in algebra would be more effective if the units in the program were presented in a sequence suggested by a hierarchical analysis of the task than if units were presented in a reverse or a random sequence. In the first study, a program was made up, based on the…

This nineteenth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 17. First, a time allotment for each of the chapters in Units 17 and 18 is given. Then, for each of the chapters in Unit 17, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, answers…

Eighty-one bright eighth-grade students were selected for an accelerated program in algebra. Students were classified by sex and by chronological age; the three age cohorts were 143-156 months, 157-159 months, and 160-165 months old. Success in the course, as measured by course grade, was considered in relation to age and sex; IQ score was used as…

The author discusses the impact of mathematical developments around the turn of the century, and historical concerns and development of mathematics education. This article is a continuation of SE 515 504. (SD)

Rational points in the plane were defined as points having both coordinated rational. Students solved several problems linking rational points with lines, circles, and other geometric figures. (SD)

Topics covered include: a game involving dice, using curve stitching to teach number concepts, and an activity to introduce rectangular coordinate systems. (MP)

Selected examples of definitions, rules, and techniques found in several mathematics textbooks circa 1776 are presented. (MN)

The author illustrates a test-preparation method that involves boardwork by each student in working out practice tests. (MN)

The author argues the place of mathematics games as an integral part of curriculum materials. He describes one such game intended to give practice in the arithmetic of positive and negative numbers and the substitution of such numbers in algebraic expressions. (MN)

Students were measured on eleven aptitudes from Guilford's structure-of-intellect cube, and randomly assigned to symbolic or figural instructional modes for a unit on functions. Achievement was measured and compared for students with different aptitudes. (SD)

A series of interesting mathematical applications for the greatest integer function are presented. (JT)

Provides a metric area model which may be used to explain the square root algorithm. (CP)

The author mentions several broad types of student elementary algebra errors, including incorrect cancellation and cross-multiplication, notes confusing terms and factors, and gives several suggestions to help students avoid these. (MN)

The author argues that the idea of successive approximations is one of the most important in applied mathematics. The role of approximation in the development of the calendar is described. (SD)