The theoretical and reference frameworks developed in a 1982 study proved effective for developing a constructivist approach leading children to build a meaningful and efficient symbolism of number. Results of a three-year longitudinal study are described. (MNS)

Discusses the status of the testing of computational estimation. Suggests ideas to promote needed immediate actions and examines issues related to effective assessment of computational estimation. (PK)

Presents examples of visual representations helpful in understanding number relationships and the algebraic statements of these relationships. Suggests that these representations can be used by teachers to aid students in discovering number relationships and in acquiring meaning for given mathematical statements. (PK)

Recounts a classroom experience which investigated whether any integral solutions for the law of cosines would be analogous to "Pythagorean triples." Several interesting relationships were discovered. (PK)

Suggests that the mathematics curriculum for young children can grow from children's literature. Examples given encourage children to use a variety of thinking skills including classifying, forming hypotheses, selecting strategies, and creating problems. (PK)

Presents three traditional problems from discrete mathematics with alternative solutions and discussion of those solutions. (PK)

One method (attributed to Archimedes) of approximating pi offers a simple yet interesting introduction to one of the basic ideas of numerical analysis, an iteration sequence. The method is described and elaborated. (PK)

Fifth graders performed better than third graders on discovering the function rule relating two number pairs. Task difficulty and mode of presentation (graphic or symbolic) varied by function. The children seemed ready to relinquish a hypothesis in the face of disconfirming evidence. (MNS)

What students need to know in a world where most computations are done by machine is discussed. Needed changes in the mathematics curriculum are then detailed in relation to mental arithmetic, numeration, decimals and fractions, paper-and-pencil computation, order of operations, problem solving, and instruction on calculator use. (MNS)

Suggested are investigations of rational numbers and their decimal representations where a computer generates the data for explorations. Conjectures and two program listings are included. (MNS)

Presents reviews of the following mathematics software designed to teach young children counting, number recognition, visual discrimination, matching, addition, and subtraction skills; Stickybear Numbers, Learning with Leeper, Getting Ready to Read and Add, Counting Parade, Early Games for Young Children, Charlie Brown's 1,2,3's, Let's Go Fishing,…

Nine activities are presented in which the calculator can be used to create interest in the study of fractions. Estimation skills are emphasized. (MNS)

The pros and cons of using calculators in the arithmetic classroom were discussed in an English seminar for teachers. (SD)

This book is a teacher's resource guide designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include whole numbers; decimals and money; fractions, ratios,…

This case study describes a congenitally blind undergraduate student who successfully completed a basic statistics course. Accommodations specific to his blindness included: a textbook on tape and review tapes before examinations; a talking calculator; graphs made on Braille paper and other tactile teaching aids. Affective problems encountered…