Illustrates the qualitative nature of the differences between reform courses and traditional courses based on the types of student questions and comments generated in reform classes ranging from college algebra to multivariable calculus. (AIM)

Recounts the experiences of faculty members as they addressed some of the challenges presented in choosing and integrating a new technology, the TI-89 hand-held computer algebra system (CAS), into the core mathematics curriculum. Relates in detail deciding which instrument to choose, instructing students to use the technology, affecting the…

Contends that in order to improve middle school mathematics achievement in the United States, "explain-practice-memorize" teaching methods need to give way to problem solving, solution inventing, and reflecting on work, while avoiding anxiety. Presents a series of solutions focusing on classroom strategies, lesson plans, resources for…

Develops a week-long, problem-based mathematics curriculum focusing on proportions and explains instructional and assessment strategies. (YDS)

Offers an approach to the understanding and to the teaching of the fundamental theorem of calculus. Stresses teaching the relation between a function and its derivative and the functions themselves. (YP)

Argues that evaluation of mathematics word-problem-solving instruction is important in basal curriculum programs. Reviews research literature on mathematical problem-solving and presents guidelines for evaluation of word-problem-solving instruction in basal mathematics programs. (PCB)

Presents an example from the combinatorial theory of partially ordered sets. Discusses algorithms of on-line antichain partitioning problems, a topic in discrete optimization. (YP)

Proposes elements of a model of knowledge structures used in comprehending and generating graphs. Uses the competence model to attempt to organize and interpret findings on misconceptions in graphing. Discusses two types of common misconceptions; treating the graph as a picture and slope-height confusions. (YP)

Discusses a mathematics curriculum for children in preschool or kindergarten which emphasizes manipulation. Suggests activities in the following concept areas: observation, classification, comparing and contrasting, seriation, patterning, graphing, informal measurement, and counting. (RJC)

Discusses important mathematical ideas taken from combinatorics, arithmetic, and geometry which are considered in the context of their development in various societies around the globe, including Hebrew, Islamic, Italian, Mayan, German, and Anasazi work. (11 references) (MKR)

Reviews research on computational estimation and curricular and instructional issues, characterizes computational estimation and distinguishes it from other types of estimation, summarizes the generally low levels of student performance on estimation across several cultures, and identifies difficulties inherent in assessing computational…

This article is an historical review of the genesis, the subsequent promulgation, and the eventual demise into the present pejorative status of the phenomenon called New Math. Examples of New Math concepts are included. (JJK)

Early childhood teachers need to integrate math education into the daily routine of the classroom by using counting books and physical props and also by emphasizing the mathematical aspects of play and other components of the curriculum. (MDM)

A headteacher at a British special school for children with disabilities advocates retaining the best of traditional practice in teaching mathematics within the requirements of the National Curriculum. Noted are proposals emphasizing differentiated programs stressing application, selectivity, differentiation in depth, and student motivation. (DB)

Discusses suggestions for the learning and teaching of mathematics based on a study examining the mathematics practices of carpet layers. Suggestions are made from the areas of (1) the school mathematics curriculum; (2) the methods used to teach school mathematics; and (3) research in mathematics education. (MDH)