Investigated effects of computer assisted instruction (CAI) on learning efficiency, defined as either higher passing percentage or less time on task. Subjects (N=24) were college mathematics students who either were lectured or had a CAI tutorial on the lowest common denominator. The CAI group took less time, but solved more problems incorrectly.…

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

Illustrated is the use of computer algebra software to assist in both a computational and theoretical way to develop the underlying theory of polynomials and the partial fraction decomposition of a rational function. Background information and a discussion of theoretical considerations are provided. (KR)

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

Presents the computer microworlds developed by the Children's Construction of Rational Numbers of Arithmetic (Fractions) Project. Provides an overview of three microworlds: Toys; Sticks; and Candybars. Discusses how children are expected to use the microworlds to construct an understanding of rational numbers. (MDH)

This combination methods and resource book is written for preservice and inservice teachers of mathematics in the elementary school. It presents a program based on the research of the learning theories of Piaget, Brownell, Deines, Skemp, and Gagne and on successful classroom practices. The 14 chapters deal with: (1) "Mathematics in the Elementary…

This paper describes a 4-month-long experiment in computer-based learning called Instructional Software Design and presents aspects of the software evaluation. Results included greater mastery of LOGO and fractions by the experimental class than for either control class and greater acquisition of metacognitive skills. (Author/CW)

Presents eight points to emphasize when teaching the concept of place value. Contends that converting numbers from one base to another helps students understand the concept of place value and the importance of context in establishing meaning. Provides a BASIC computer program to make conversions. (MDH)

Proposes using a hypermedia authoring program as a method for helping students make connections between definitions, representations, and applications of mathematical concepts. Provides an example involving fractions and discusses the advantages of using hypermedia. (eight references and four resources) (MDH)

Presents ideas to help elementary teachers make the best use of their computer equipment. The article offers suggestions for getting started, scheduling, and selecting and introducing software. Information is included on programs that teach fractions, action art, animal attributes, writing, math, estimation, symmetry, and maps. A resource list is…

This book is organized in three major sections. The first section provides 15 lesson plans for the integration of activities involving computer uses in mathematics instruction. Each lesson plan includes grade level, objective, time, materials, important terms, background, suggestions, and activities. The second section provides a list of available…

This publication is an abstracted compilation of 15 investigations selected from other journals. The information includes purpose, rationale, research design and procedures, findings, interpretations, abstractor's comments, and references. This journal includes the following reports: (1) "A Constructivist Approach to Numeration in Primary…

The papers and conference proceedings recorded in this monograph are from a conference on effective mathematics teaching. In addition to acknowledgements, foreword, introduction and participant list, the following articles are included: (1) "Teaching for Higher-Order Thinking in Mathematics: The Challenge for the Next Decade"; (2)…

Provides several examples of the use of Logo in working with fractions and manipulating vectors. Includes an exercise which deals with the relationship between the two and several exercises which address various problems using different kinds of fractions. (TW)

Presents reviews of the four software packages "Blockers and Finders,""Decimal Squares Computer Programs: Decimal Concepts, Addition and Subtraction, Multiplication and Division, and a Data Disk,""Number Stumper," and "Object Logo, Version 1.5." The software packages include problem-solving activities and drill and practice programs. (PK)