This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

Three calculation methods were compared in solving problems involving frequency distributions, manual, basic calculator, and advanced calculator. Calculators were more efficient but there was no difference in calculator type. (MP)

Statistical problems were used to test the hypothesis that calculators facilitate problem solution by saving time and increasing accuracy. Manual, basic machine and advance machine methods were used. (MP)

Investigated were the effects on computation performance of amount of prepractice and type of calculator, when students were told to work very fast vs very accurately. (MP)

Three calculation methods--handwork, or simple or advanced calculators--and two levels of difficulty--easy or hard--were used to investigate the effects on computational performance. (MP)

Solving statistical problems using a calculator with sophisticated features was compared to solving the same problems by hand. The calculator group was more accurate and took far less time. (MP)

The study reported is the first in a series of investigations designed to empirically test the hypothesis that calculators reduce quantitative working time and increase computational accuracy, and to examine the relative magnitude of benefit that accompanies utilizing calculators compared to manual work. (MN)

Three preliminary studies and one exploratory main study investigated the effect of calculator use on elementary, middle, and secondary school students' solution methods on routine mathematical problems. Items were identified for which a longer and a shorter solution method existed. Half of the sample worked these using a calculator and half used…

Two separate and simultaneous studies took place in middle socioeconomic schools. A considerable degree of consistency of results in problem-solving performance with and without calculators was found in the two investigations. Calculator-using groups performed significantly higher than non-calculator groups where differences occurred. (MP)

The objective were to explore some of the ways in which the calculator can be used and to determine the effects. Areas covered are: computation, mathematics readiness, problem solving, and discovery learning. (MP)

For an entire school year, 24 seventh-grade classes were taught problem-solving strategies; in 14 of these classes the instruction was supplemented by calculators. Mixed findings resulted for both problem solving and calculator use. (MNS)

Data from the 1977-78 mathematics assessment of the National Assessment of Educational Progress (NAEP) on the use of calculators are discussed. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

Four K-12 studies and one for grades 3-4 considered which math topics could be taught most effectively with a hand-held calculator, which new mathematical topics could be successfully introduced when using such calculators, and what the implications might be for problem solving. (Author/LS)

Nineteen Calculus II students were randomly sampled and divided into calculator (n=9) and noncalculator (n=10) groups. These students were asked to "think aloud" while solving 24 Advanced Placement calculus problems. Each student interview was videotaped, coded and analyzed for reasoning process as well as outcome. The results indicated…

This document provides abstracts of 20 research reports. Topics covered include: children's comprehension of simple story problems; field independence and group instruction; problem-solving competence and memory; spatial visualization and the use of manipulative materials; effects of games on mathematical skills; problem-solving ability and right…