Fourteen steps are suggested: perceive problem, decode written symbols, formulate general meaning, translate the general message into the mathematical message, determine question(s), gather data, analyze relationships, decide on processes, estimate answers, encode data into mathematical sentences, perform operations, answer questions, and check…

A science fiction problem was placed before the students, they had to plan a profitable trip for Galactic spaceship tour and for which group of five students was made to solve the problem, which would encourage cooperative efforts, and different people in the group could work on different aspects. An important part of this problem is that students…

Constant feature is the calculator's feature to add subtract, multiply or divide the same number more than once without entering it each time. Application of the power of the constant feature to consumer mathematics, probability and iterative processes with problem solving implications are discussed.

The generalization of the solitaire checker puzzle and the attractive patterns that emerge during the process of solving the puzzle, as well in analyzing the minimal solutions of various cases are discussed. Both linear and quadratic patterns are intrinsically linked to this game and the shift from one to the other involves only a slight change…

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 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…

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…

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…