Twelve culturally disadvantaged 4-year-olds of borderline normal intelligence were subjects of this study. Its primary purpose was to test further the cognitive learning theory previously developed, as well as the reinforcement system, the facilities, and the experimental-longitudinal methods of research. The study did not include a control group…

This curriculum bulletin is one of a planned series of bulletins designed to meet the needs of teachers and supervisors who are working to improve the achievement level of mathematics in the schools. The eighty sequential units of this bulletin are organized into 3 categories - (1) Sets, number and numeration, (2) Operations, and (3) Geometry and…

This pamphlet is designed for use as enrichment material for able junior and senior high school students who are interested in mathematics. No more than a clear understanding of basic arithmetic is expected. Students are introduced to ideas from number theory and modern algebra by learning mathematical ways of coding and decoding secret messages.…

The Minnesota School Mathematics and Science Teaching (MINNEMAST) Project is characterized by its emphasis on the coordination of mathematics and science in the elementary school curriculum. Units are planned to provide children with activities in which they learn various concepts from both subject areas. Each subject is used to support and…

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…

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…

Written to fulfill the requirements for a University of Minnesota College of Education off-campus Indian education course for public school teachers, this Native American curriculum unit for middle and high school reflects the calendar achievements of the Maya Indians. The calendar is discussed in terms of its base number 20 (vigesimal system),…

This booklet contains some 80 problems in mathematics suitable for computer solution. The problems range from very simple to complex. Problems have been included from most mathematic disciplines, including number theory, analytical geometry, probability and statistics, trigonometry, equations, and sequence and limits. For the most part these…

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)

The third of three volumes of a mathematics training course for Navy personnel, this text emphasizes topics needed in understanding digital computers and computer programing. The text begins with sequences and series, induction and the binomial theorem, and continues with two chapters on statistics. Arithmetic operations in number systems other…

Unit 9 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: sets and the number line, numerals and variables, sentences and properties of operations, open sentences and English sentences, the real numbers, properties of addition, properties of multiplication, properties of order, and…

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)