Explores two hypotheses about the effect of symbolic systems on psychological functions: (1) culturally elaborated systems of signs affect psychological functioning in a general way; and (2) systems of signs, when used to support skilled action, affect the organization of human activity. Reviews research that supports the second hypothesis. (LB)

Presents two teaching ideas for mathematics instruction. The first employs "mind maps" as a method to help students learn, record, and recall mathematical information. Provides examples for solving quadratic equations and complex numbers. The second discusses two ways to find the average speed during a trip employing differing constant…

This article, which is organized around a single, well-known algorithm for root extraction, presents a way of incorporating dynamical systems into the teaching of mathematics. Included are sample exercises using complex numbers and the computer where students have the opportunity to do some analysis on this algorithm. (KR)

Discussed is the question of teachers' knowledge about mathematical topics. The building of an analytic framework of subject matter knowledge for teaching the topic of functions in mathematics is demonstrated. Discussed is the construction of mathematics courses prospective mathematics teachers take. (KR)

Reported are the effects of a conceptually oriented unit on decimal fractions. The relationships between short-term changes in solving processes and the stability of these processes over time, performance of students, and entry achievement level and the long-term effects of conceptually based instruction are discussed. (KR)

Various ways in which computers can be used in the classroom depending on the subject, students' background, and individual teaching style are discussed. A way to evaluate professional software packages for use in the classroom is included. (KR)

The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)

Offers games for the elementary school mathematics teacher that include opportunities for the consolidation and practice of fundamental skills and routines. (JJK)

Described is a "stock market" game in which students can strengthen many mathematical concepts and skills while learning more about economics and world events. Background information on the stock market, directions for playing the game, a worksheet, and ways to integrate other curriculum areas are included. (KR)

Described are three mathematics games that parents can play with their children. These games involve parents in helping children to learn and practice mathematics in the home. Teaching, learning, and practice games are included. (KR)

Described is an activity in which students develop their own number system. This activity allow students to examine the structure and history of number systems and to discover the power and respectable efficiency of the number system used today. (KR)

An algebra class activity of creating computer graphics by connecting a series of ordered number pairs with subsequent investigations involving the transformations of the functional relationship between the elements of those ordered pairs is presented. (JJK)

Analyzed are the different stages in the conceptual evolution of infinity as developed historically through the work of Bolzano and Cantor. Results of a study of 18 to 20 year old's concept of infinity prior to instruction produced aspects of the passage between conceptual levels of infinity. (MDH)

Discusses topics that are especially appropriate for investigation by young learners and describes activities that stimulate children's curiosity. Suggestions about ways to focus children's attention on mathematical aspects of the activities are offered. (BB)

Eighteen undergraduates were given a standard manufacturing textbook and 18 a text in which major concepts were expressed as mathematical equations. The mathematical text enhanced ability to recall concepts and apply them in context. However, transfer of concepts to different concepts was not affected by type of text. (SK)