This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)

The Australian Mathematics Competition was designed around the content of common school mathematics, and thus is intended for almost all mathematics students, not just exceptional ones. The competition's conceptual and organizational basis and the three levels of competition papers are described. Sample questions are included. (MNS)

Approaches to teaching verbal problems that are interesting and useful are reviewed. Four basic difficulties in teaching problem solving are also covered. (MP)

A problem-solving approach involving systematic experimentation, one of the most-used problem-solving strategies, is advocated since it is useful beyond mathematics problems. Examples of its use are given, with two problems explored and four others noted. (MNS)

How min-max problems can be solved with trigonometry and without calculus is described. (MNS)

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)

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)

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

Special ways of using computers as a useful tool in algebra instruction are reviewed, with applications to linear equations featured. (MP)

The use of mathematical modelling as a systematic framework for solving word problems is presented. Applications for typical elementary algebra and calculus problems are featured. (MP)

This volume contains the Annual High School Mathematics Examinations given 1973 through 1982, supplementing three previous compilations. The examinations provide challenging problems which teach, stimulate, and provide enjoyment for both participants and readers. In addition to presenting the ten examinations, consisting of 35 problems for the…

This document is one of six which set forth the mathematics components of the Project SEARCH Articulated Curriculum developed by the Utica (New York) City School District. Each volume deals with a broad area of mathematics and lists objectives related to that area for all grades from K through 12. Each objective listed is described first in…

Factorials are discussed, with note of the enormous size on n! even for modest values of n. A recreational problem to determine the number of zeros at the end of numbers such as 10,000! is given, with a computer program. (MNS)

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)