This book presents motivational ways to teach key concepts and topics common to all secondary mathematics curricula. It is arranged by subject matter which includes algebra, geometry, trigonometry, probability, statistics, and miscellaneous topics. The objective to be attained by implementing the unit on each of these subjects is stated, and the…

As part of the Electrical Engineering program at the Univesity of Southern Maine, students are typically introduced to Two's Complement algebra and representation, a method to include negative numbers in the binary representation of integers that is widely used in microprocessors and related digital systems. The traditional, procedural method to…

This paper asserts that the key to algebra reform is to integrate algebraic reasoning across all grades and all topics, to "algebrafy" school mathematics. The distinction is made between algebra "the institution" and algebra "the web of knowledge and skill," which is also clarified. Finally, suggestions are made as to how the educational community…

This book contains a set of versatile enrichment exercises that cover a very broad range of mathematical topics and applications in pre-algebra from the Moebius strip to the googol. Several criteria have been used in developing the activities and selecting the topics that are included. All of them bear heavily and equally on concerns for…

This textbook furnishes abundant material for an intelligent review of the mathematics given in a large number of high schools, and it is the hope of the authors that other teachers may find the book useful in the hands of their pupils. The first-year review is intended to cover the work ordinarily done in the first-year mathematics course of the…

Discusses terminology used by teachers for the symbol "-x" which cause students to become confused. Suggested methods of avoiding this confusion are presented. (JP)

Grade nine students (n=116) were assigned to five different algebra word problem test versions: textbook, student, pictorial, textbook plus pictorial, and student plus pictorial versions. Analysis by IQ levels yielded results different from those obtained in previous studies. (JP)

The use of Karnaugh maps in determining the number of elements in a set, in chains of reasoning, in comparing solutions of a problem, and in Boolean algebra is illustrated. For the first article in this series, see SE 507 074. (DT)

Four methods of finding the range of values of the solution of a problem when the data are known to lie within given bounds are illustrated. (MS)

The nature and purposes of secondary school mathematics are discussed, with specific analysis of the role of algebra. Appropriate topics are suggested, with elaboration on level of abstraction and usefulness. (DT)

This is the second of two articles giving examples on the use of Karnaugh Maps in solving problems in set theory and in Boolean algebra. Simplification techniques of the maps are concisely included. For Part 1, see volume 1, number 7, pp4-7, November 1972. (DT)