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)

Analyses of test results were used to identify a structure of intellectual abilities related to mathematical problem-solving performance. (MP)

Criteria are listed for identifying a problem. Several suggestions are made for encouraging students to view problem solving in a positive manner and for helping them to develop an awareness of existing processes in problem solving. (JT)

The open-approach teaching method, a problem-solving method, is described, with examples of situations and problems that are suitable for this approach. The teaching-learning process and educational implications are discussed. (MNS)

How set theory, combinatorics, probability, and the study of algorithms can be used in solving two problems is described in detail. Three computer programs are listed. (MNS)

Fifteen trainable mentally retarded students (four-six years old) were generally capable of rule-governed and other counting skills, and some could mentally compare numbers and choose the larger. Some Ss demonstrated a basic form of problem solving: they used the addition identity and commutativity principles to shortcut computational effort.…

This is a step-by-step guidebook that is designed to help students on the quantitative section of the SAT. This guidebook produces an understanding of key mathematical concepts as the various topics are covered by the text, and, unlike other SAT guides, lists skills and capabilities, that if mastered will result in well-prepared students. More…

In 2001, at Snowbird, Utah, members of the [mu]-group from the University of British Columbia, under the guidance of Dr. Susan Pirie, engaged in an innovative, continuous session of linked papers which consider the notion and nature of mathematical understanding and reviewed a number of different theories and approaches to this phenomenon. We…

This paper presents teaching strategies and examples developed for a two-semester sequence in quantitative problem solving, specifically outlining a non-calculus derivation of linear regression formulas supported by the graphical display of the TI-83 calculator to visualize the minimization of the sum-squared vertical distances. The paper…

This digest provides a guide to improving student achievement in mathematics education and suggests resources for further study. It provides recommendations for the classroom and is a companion piece to "Improving Student Achievement in Mathematics, Part I: Research Findings." Recommendations include that students can learn both concepts…

This book looks at how teachers implement national math and science standards in their classrooms. Teacher-authored chapters provide insights into how children think and reason as they pose questions, collect data, and build data models to answer their questions. While the spotlight is primarily on student understanding and its development over…

It is alleged by math teachers and their supporters that math problem solving actually transfers to skills in real or applied problem solving (RAPS). The purpose of this paper is to discuss the issue of math problem solving and the concomitant concept of mental discipline/transfer of learning. The mental discipline theory and evidence to support…

This booklet includes a wheel of problem solving strategies and a seven-step process for approaching and solving complicated problems. The information provided gives students a variety of ways to approach, analyze, and think critically about mathematics problems. The chapters present guides to promoting critical thinking in cooperative groups…

This paper describes research into the framework of Computer Analysis Relationship (CAR) and its methodology together with software such as Scientific Notebook in a teaching and learning problem-solving environment to support student investigation as well as to enhance student logical thinking. CAR aims to motivate students how to subdivide a…