Reluctant learners made plastic geometric shapes for use in classroom activities. (SD)

This simple example demonstrates the physical significance of similarity solutions and the utility of dimensional and asymptotic analysis of partial differential equations. A procedure to determine the existence of similarity solutions is proposed and subsequently applied to transient constant-flux heat transfer. Short-time expressions follow from…

Pupils' understanding of angle is investigated. Areas of difficulty and misconceptions are highlighted with a view to recommending improvements in the presentation of angle in primary school and remedial work to overcome problems in secondary school. The material opens with a historical and mathematical background and a brief review of research.…

This text provides a one-semester study of analytic geometry for secondary school students. It is designed for use at the 12th grade level. A deliberate effort was made to tie this text to previous SMSG texts; the usual language of sets, ordered pairs, number properties, etc. are included. This flavor is what distinguishes this book from others in…

This publication contains a sequence of lectures given to high school mathematics teachers by the author. Applications of mathematics emphasized are elementary algebra, geometry, and matrix algebra. Included are: (1) an introduction concerning teaching applications of mathematics; (2) Chapter 1: Mechanics for the High School Student; (3) Chapter…

Paper folding activities can illustrate transformations that are circular and finite under one set of conditions and become rectangular and infinite when conditions change. (SD)

This textbook is an essay on evidence and mathematical reasoning as applied in geometry. This volume also contains: (1) A Letter to Erasmus Darwin, M. D. on a New Method of Treating Pulmonary Consumption, and Some Other Diseases Hitherto Found Incurable; and (2) Letters From Dr. Withering, of Birmingham, Dr. Ewart, of Bath, Dr. Thornton, of…

The relationship of performance in mathematics to syntactical language factors obtained from speech samples was investigated with 95 senior high school geometry students. Statistical procedures included correlation analysis and stepwise regression. The findings indicated that certain syntactical measures indicating logical thought processes…

Presented in this translation are three chapters. Chapter I discusses the composition of forces and several theorems of geometry are proved using the fundamental concepts and certain laws of statics. Chapter II discusses the perpetual motion postulate; several geometric theorems are proved using the postulate that perpetual motion is impossible.…

SENIOR MATHEMATICS, WITH PRACTICAL EMPHASIS ON TOPICS FROM THE FIELDS OF ARITHMETIC, ALGEBRA, AND GEOMETRY, IS A ONE-SEMESTER COURSE FOR TWELFTH-GRADE STUDENTS. THE COURSE HAS TWO MAJOR OBJECTIVES--(1) PREPARING THE STUDENT FOR EMPLOYMENT BY IMPROVING HIS SKILLS IN THE BASIC PROCESSES OF MATHEMATICS, AND (2) PROVIDING THE STUDENTS WHO ARE ABOUT TO…

This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include the rational number system; parallels, parallelograms,…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) four finite geometries; (2) miniature geometries; (3) a coordinate approach to the 25-point miniature geometry; and (4)…