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…

Suggestions for using four-function calculators, programmable calculators, and microcomputers are considered in this collection of 36 articles. The first section contains articles considering general implications for mathematics curricula implied by the freedom calculators offer students from routine computation, enabling them to focus on results…

This document views mathematics instruction as an area that was developed to deal with experiences of the real world, and that needs to change in response to the realities of today's world. To insure the continued teaching of significant ideas and skills, certain traditional topics must be deleted from the curriculum and new ones added. Teaching…

This collection of activities shows how teachers can help pupils develop problem-solving techniques or strategies using a basic four-function calculator. The techniques "look for a pattern,""make a chart or organized list," and "guess and check" are used repeatedly in activities that range from discovery to application to strategy games. The…

This student textbook is designed to incorporate programable calculators in grade 11 mathematics. The eight chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Exponents and Logarithms; (3) Trigonometry of the Right Triangle; (4) Trigonometry Beyong the Right Triangle; (5) Graphs of the Trigonometric Functions and…

Fourteen research reports related to mathematics education are abstracted and analyzed in this publication. Five of the reports deal with sex differences in mathematics learning and instruction, and three reports deal with assessment or prediction of mathematics achievement. Remaining reports involve the topics of calculators, logical implication,…

How calculators can enhance problem-solving abilities is discussed. Examples of calculator table-building activities that span the gap from arithmetic to algebra in middle schools are given. Percent, area and perimeter, and exponents are the focus. (MNS)

The first volume of this proceedings contains the papers presented at the 21st annual meeting of the Mathematics Education Research Group of Australasia. Papers include: (1) "Research, Rhetoric and Reality" (Lyn English); (2) "I Keep Six Honest Serving Men" (Peter Galbraith); (3) "The Intension/Intention of Teaching…

The second volume of this proceedings contains the papers presented at the 21st annual meeting of the Mathematics Education Research Group of Australasia. Full papers include: (1) "Teachers Interpreting Algebra: Teachers' Views about the Nature of Algebra" (Brenda Menzel and David Clarke); (2) "Long Odds: Longitudinal Development of…

Demonstrates how the uniqueness and anonymity of a student's Social Security number can be utilized to create individualized polynomial equations that students can investigate using computers or graphing calculators. Students write reports of their efforts to find and classify all real roots of their equation. (MDH)

Discussed is the idea that, if students are allowed to use calculators when doing classwork, they should be allowed to use calculators on tests. Examples of calculator-active items are presented that are designed to accurately assess students' learning. (KR)

When students are working with hand held technology, such as graphics calculators, we usually only see the outcomes of their activities in the form of a contribution to a written solution of a mathematical problem. It is more difficult to capture their process of thinking or actions as they use the technology to solve a problem. In this paper we…

Some research studies, many of which used quantitative methods, have suggested that graphics calculators can be used to effectively enhance the learning of mathematics. More recently research studies have started to explore students' styles of working as they solve problems with technology. This paper describes the use of a software application…

This monograph is the first in a series of three dealing with the curriculum and evaluation standards for grades K-4 as promulgated by the National Council of Teachers of Mathematics (NCTM). The publication of the standards marks a new guidepost in the evolution of mathematics education and signals the impact of the information society upon all…

This monograph is the second in a series of three dealing with the curriculum and evaluation standards for grades K-4 as promulgated by the National Council of Teachers of Mathematics (NCTM). The publication of the standards marks a new guidepost in the evolution of mathematics education and signals the impact of the information society upon all…