This paper discusses a technique, challenging students to solve problems published in mathematics periodicals, which has been used successfully with gifted students in a regular high school class. (Author/MK)

The needs of above-average junior high school students are discussed. A set of 'daily twisters,' or problems of various types, were collected, and examples are noted. Recommendations on content and pedagogy are described. (MNS)

This publication provides background information, ideas, and sample activities to help teachers in their efforts to aid students in developing problem solving skills. It provides an overview of the stages in the problem solving model recommended in the elementary mathematics program of studies. Several clusters of problem solving strategies are…

A discussion of what constitutes proof is given. Methods of teaching proof in a more intuitive and informal way than is usually done are suggested. (MK)

A new version of a standard old problem is presented. Ways of solving, extending, and continuing the problem that make it applicable to many grade levels are discussed. (MK)

A calculator solution of a simple computational problem is discussed with emphasis on its ramifications for the understanding of some fundamental theorems of pure mathematics and techniques of computing. (Author/MK)

This sample lesson, used with sixth graders, is designed to integrate mathematics learning with the outdoors environment. (MK)

An applications problem, which illustrates an important technique in mathematical applications, is presented and discussed. (MK)

Mathematical activities suitable for reproduction as worksheets are suggested. These activities are adaptations of the classic tower puzzle and are intended to help students discover patterns, make generalizations, and use the strategy of solving simpler problems in order to solve a more difficult one. (MK)

Mathematical skills and reasoning and their applications are considered as forming one of the basic and essential areas of knowledge and experience that should be available to all Australian children. This collection of essays explaining problem solving in mathematics as an organizing theme for current and future curriculum development is a means…

This paper is divided into three parts. Part I connects the reality of the classroom with the idealism which arises from some of the problem solving literature. It is argued that a broader concept of problem solving is needed to provide a perspective for bridging the gap between the conceptions of problem solving in the literature and typical…

A teacher describes her experiences using "mathematics across the curriculum" problem solving activities with 12- and 13-year-old students with moderate to severe learning difficulties. She concludes that the experience of real problem solving is an approach that has great potential for use with special need students. (PK)

Activities in this edited volume of reprints from the Mathematics Teacher were selected in response to recommendations made by the National Council of Teachers of Mathematics for improving curriculum content. Specific areas addressed are problem solving, expanding basic skills, using calculators, using computers, and using manipulatives. Each…

This guide was developed by the Albany area schools in recognition of the different needs, learning rates, and abilities of students. Three major areas of mathematics (computational skills and concepts, problem solving, and measurement) are included. A master list of competencies and performance indicators is given, as well as a list of…

The role of computers (especially microcomputers) in the mathematics curriculum and suggestions for using them in mathematics instruction are discussed in this yearbook. The 27 articles are presented under five headings. Part 1, Issues, includes articles on comprehensive instructional computing, possible new curricula, and a syllabus for a…