The author discusses the aims, outline, and evaluation of an existing self-paced ungraded mathematics program for grades eight, nine, and ten. (MN)

Described are various common misconceptions about the nature of mathematics and suggests that courses or activities based on model building might help change these. Two examples are offered. (SD)

The author views the teaching of mathematics as a social activity in two senses: the first is derived from the relationship of mathematics to the world; the second is related to political considerations. (SD)

This article is based on a paper reprinted from an appraisal of problems in key subjects by Her Majesty's Inspectorate. Comments by the author are provided. (SD)

Senior-year mathematics test scores are highly dependent on the number of mathematics courses taken at the level of Algebra I or above. Sophomore students with similar levels of mathematics achievement may be expected to improve similarly regardless of race or sex by taking additional mathematics courses. (MNS)

This article outlines a series of investigations in graph theory which simultaneously gives exercises in visualization. It is argued that one of the advantages of classroom investigations is that students can be lead to an intuitive grasp of advanced mathematics. (PK)

Presented are the purposes served by mathematical investigation--the exploration of open situations in a relatively unstructured way--and an example (investigating numbers adding to 13), with numerous questions and conjectures. (MNS)

The article discusses secondary school mathematics teacher shortages in the United Kingdom (UK), covering the number of vacancies, recruitment efforts, and teacher persistence as well as the effects of efforts to staff mathematics classrooms. It is believed that UK classrooms will continue to experience a shortage of qualified mathematics…

Considered is the following question: If a consumer loan is prepaid before the contract time, how much of the total interest should be paid to the lending institution? Discusses the validity of the rule and demonstrates strategies for answering interest questions. (PK)

The mathematics curriculum should be imbedded into the cultural environment of the student. Discussed is the mathematical educational potential of decorative motif. (PK)

Argues for teaching different approaches to solving problems. Using a geometric example, alternative solutions are given which use synthetic geometry, transformation geometry, analytic geometry, complex numbers, trigonometry or vectors. (PK)

Presents number tricks appropriate for use in workshops, mathematics clubs or at other times when stressing recreational mathematics. (PK)

Presented are statistics and analyses for 1970-1985 related to school enrollments and mathematics enrollments in Australia. Implications for the 1990s are considered. (RH)

Described are 10 computer software programs for problem solving related to mathematics. Programs described are: (1) Box Solves Story Problems; (2) Safari Search; (3) Puzzle Tanks; (4) The King's Rule; (5) The Factory; (6) The Royal Rules; (7) The Enchanted Forest; (8) Gears; (9) The Super Factory; and (10) Creativity Unlimited. (RH)

Reported and compared are recent recommendations regarding the potential for computer technology in school mathematics. These recommendations are also compared to current practice and to earlier recommendations. (RH)