Performance objectives are stated for this secondary school instructional unit concerned with introduction to the stretcher and shrinker approach, solution of simple equations, factoring composite numbers into primes, definition of prime numbers, and communication skills with computational concepts. The course of study is intended for students…

The teacher's guide for Unit 8 of this SMSG series covers the two chapters on the real number system and on area, volume, and computation. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives are stated,…

Topics covered in the first chapter of Unit 13 in this SMSG series include mathematical models, methods of solving systems of equations, and graphical solution of systems of inequalities. The second chapter of this unit deals with properties of exponents, exponential and logarithmic functions, computing with logarithms, and the slide rule. For…

This is the second of four guidebooks on minimum content designed to strengthen fundamental concepts which are basic preparation for Algebra I. This booklet covers integers, rational and irrational numbers, real number properties and operations, graphing in one dimension, and open sentences. The overall course goals are stated, then, for each…

Forty kindergarten children at the Stephen Bull School in Racine, Wisconsin were tested to determine the effects of a sequence of 12 experimental lessons on the ability of kindergarten children to recognize and conserve numerousness. Subjects were 40-low-to-middle socioeconomic level children divided into treatment and control groups. A specially…

The study attempted to trace the relationship between facility with cardinal-ordinal aspects of number; attention to dimensions of number, length, and density; and the presence and absence of number conservation. On the basis of performances on the standard test for number conservation, 25 nonconserving kindergarteners, 34 conserving…

This document is a collection of mathematics pretests and posttests for grades 3 and 4 on the topics of sets, place value, addition-subtraction, multiplication, division, multiplication-division, and fractions. Two forms for each test are provided plus answer keys. This work was prepared under an ESEA Title III contract. (DT)

Number bases other than ten can be introduced effectively by presenting fictional civilizations which use them. (SD)

Four activities and related worksheets are provided. The activities, all concerned with multiplication, are directed toward students at different levels, and deal with repeated addition, basic facts, and factorization. (SD)

Games and laboratory experiences which can be used to help build basic skills are described. (SD)

The development of numeracy is discussed as being an important aspect of the learning process. (MP)

A concrete approach to prime numbers is presented using rectangles and triangles to construct a building for each number so that each story represents a pair of factors and the triangular-shaped roof represents the number. (MP)

Magic squares are used to generate number games similar to tic-tac-toe. Skills that are reinforced include addition of negative numbers and addition and multiplication of fractions. (MP)

Topics covered include alternate methods for finding LCM and GCF, imaginative word problems, and a primes-breakdown method of factoring quadratics. (MP)