In this article, the author discusses one of George Polya's geometrical problems. The author offers Polya's solution to the problem, given in the book, "How to Solve It." The reason for its relevance today and alternative solutions to the problem together with an extension are discussed. (Contains 10 figures.)

It is known that school-aged children have a strong tendency to solve mathematical word problems by mechanically calculating numbers even if their calculational answers seem unrealistic. The present study found that undergraduate students also demonstrate this tendency, but many of them could justify their ''unrealistic'' responses with sensible…

This book contains a compilation of papers presented at the International Psychological Applications Conference and Trends (InPACT) 2019, organized by the World Institute for Advanced Research and Science (W.I.A.R.S.). Modern psychology offers a large range of scientific fields where it can be applied. The goal of understanding individuals and…

Teaching is a complex, ongoing endeavor that involves a myriad of decisions. The National Council of Teachers of Mathematics' (NCTM's) Sixty-Sixth Yearbook is organized around three aspects of teaching: foundations for teaching, the enactment of teaching, and the support of teaching nurtured in preservice education and strengthened throughout a…

The purpose of this study was to explore the use of a cognitive computer tool by undergraduate calculus students as they worked cooperatively on mathematical tasks. Specific attention was given to levels of cognitive demand in which the students were engaged as they completed in-class labs with the assistance of MathCAD. Participants were assigned…

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series designed to interpret and…

With respect to the innovative roles of technology within the educational realm, an important task of educational research is the investigation of how school children accommodate themselves to innovative computer-based learning environments. This paper describes the strategies and techniques employed and extended by above-average second- through…

This document contains both an instructor's guide and a reference manual. It was developed as part of a cooperative venture between Industrial Technology Institute (ITI), Wayne County (Michigan) Community College, and Great Lakes Steel (GLS). The instructor's guide has four sections: math for success in electronics, student materials, electronics…

This document ties the essential skills needed in mathematics to the National Council of Teachers of Mathematics' (NCTM) Curriculum and Evaluation Standards to help facilitate future curriculum development. The overall goal for the 21st century is to make mathematical power a reality for all students. The rationale for this document can be found…

This book demonstrates, for teachers at all levels, applications of technology tools for the effective learning and teaching of mathematical skills and concepts as suggested by the National Council of Teachers of Mathematics (NCTM). It focuses on the use of general-purpose computer tools in the mathematics classroom, with an emphasis on problem…

Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that…

This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that…

This annotated bibliography lists research synthesis in elementary school mathematics. The listings are in alphabetical order, but are also indexed according to topics. Among the 17 topics included are: calculators, problem solving, sex differences, and diagnosis and remediation. (MK)

This book contains two case studies of teachers telling epic oral stories to teach math to elementary and middle school students. The book also includes theoretical discussions of essential elements of oral storytelling, multicultural education, how oral storytelling can help children who have difficulty learning mathematics, and mathematical…