Mathematics teachers should be teaching computer science and using the computer to enhance their teaching of mathematics. Furthermore, the computer mandates curricular reform in mathematics. (MNS)

Reported is a teacher's efforts to introduce mental methods in arithmetic to seven-year-olds over a four-week period. (PK)

How children perceive doubling and halving numbers is discussed, with many examples. The use of calculators is integrated. The tendency to avoid division if other ways of solving a problem can be found was noted. (MNS)

The need to incorporate deductive reasoning in the curriculum is noted. Guidelines for developing reasoning skills and activities to develop understanding of inductive and deductive processes are provided. (MNS)

Flow diagrams developing cube roots and formulas for the square, sphere, cube, circle and sector, oblong, and cylinder are presented. Some comments on their use, along with calculators, are included. (MNS)

The importance of teaching computational estimation is discussed, with note of its increased significance because of widespread use of calculators and the need to develop number sense. The reason for its failure to be taught is traced to the multiplicity of methods, and some detailed suggestions are therefore presented. (MNS)

Research on the usefulness of calculators in mathematics instruction is cited, and some activities using calculators to develop skills with reading numbers, counting, basic facts, multiplication and division, problem solving, estimation, percentages, decimals, patterns, probability, and games are described. (MNS)

Activities are suggested for using the hand calculator as a complement to any mathematics program. The activities focus on developing skills for using the calculator, exploring basic arithmetic operations, understanding algorithms, mental calculation and estimation, and problem solving. (DT)

We compare the activity of young children using a microworld and a JavaScript relational calculator with the literature on children using traditional calculators. We describe how the children constructed different meanings for the equal sign in each setting. It appears that the nature of the meaning constructed is highly dependent on specificities…

The paper concerns the analysis of the role of artefacts and instruments in approaching calculus by graphic-symbolic calculator at high school level. We focus on an element of the introduction of calculus: the global/local game. We discus the hypothesis that the zoom-controls of calculator support the production of gestures and metaphors that…

We present in this paper five case studies of instrumental genesis of number-theoretic concepts and techniques involving multiples, divisors, and numerical decomposition. The pupils, who were 12 to 15 years old, used the multi-line screen display of the graphing calculator to explore numerical tasks related to the "Five steps to zero"…

This book contains an interactive calculator and worksheet program designed to teach the graphing of some of the functions that appear in high school mathematics courses. The graphs of linear, exponential, and logarithmic functions are explored as well as other functions. Activities focus on the graph that appears as a standard part of algebra…

This paper reports on the results of a survey instrument designed to measure the use of mathematics software packages, as well as statistical software packages in the college classroom. The survey was distributed to teachers of mathematics and statistics at several four-year colleges in Long Island, New York. The survey also measured the opinions…

The purpose of this study was to investigate students developing understanding of concepts related to rate of change. Twenty students first participated in a rate of change curriculum unit as part of an after school math and technology program. During the unit, students used motion detectors and related graphing software to create and analyze…

The intent of this study is to determine whether or not teaching students how to use available calculators can improve their mathematics test scores. The study involved 89 seventh and eighth grade students. These students were randomly divided into three separate groups which included two experimental groups and the control group. The control…