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 course of study specifies skills and concepts in mathematics that are to be taught in the various grades of the Euclid (Ohio) City School System. It is based on the philosophy that the purpose of the mathematics program of the Euclid City Schools is to provide students with the kinds of skills they will need to become productive members of…

One of the main purposes of a mathematics club is to provide the opportunity for students to study exciting topics in mathematics not ordinarily discussed in the classroom. Each of the 10 chapters in this booklet is a collection of related subtopics. Each idea is presented and discussed; bibliographies then suggest in-depth reading. The chapters…

In this paper, prepared for a European conference on mathematics education, the author examines three types of computer use in undergraduate and high school classrooms: Using the computer as an instructional tool for student development of algorithms, teaching about the computer itself, and use of computer-assisted instruction. (SD)

Responses of secondary mathematics teachers and mathematics educators to a survey are summarized. Survey questions concern the effect of statewide assessment and curricular activities on curricular effectiveness and student achievement. (SD)

Paper-folding activities demonstrate properties of the conic sections and equilateral triangles. (SD)

The number of triangles having a fixed length of longest side is investigated. (SD)

Four short lessons on Boolean Algebra were recorded on video tape. A week later the participating students were shown the tapes and asked to comment. Responses to the interviewer were recorded, transcribed, and interpreted. (SD)

A series of simple games can be analyzed inductively to determine strategies. Students explore possibilities, hypothesize solutions, prove their solutions correct, and then generalize to more complex games. (SD)

Three worksheets provide exercises involving triangular arrays of numbers. (SD)

Indicates that to explore the relationship between the teaching of science and mathematics in the secondary school, it is necessary to examine the basic issues of the curriculum in some depth. Examines the justifications for the school curriculum and the distinguishing characteristics of physics and mathematics. (GS)

The author argues that secondary-school teachers need to be more aware of the content of primary level mathematics work. Citing an algorithm, he discusses the issue of basic skills in relation to the increasing use of calculators. (SD)

The author argues that efficient learning of mathematics requires both understanding and rote learning. (SD)

In this speech before the Australian Association of Mathematics Teachers, the author argues that guidelines must not be taken at face value, for they are often deceptively simple. A hopeful sign for the future is the emergence of mathematics teachers who are involved in developing effective teaching strategies. (SD)