This paper describes a framework for making sense of the relationship between emotions, cognition, mathematical activity, and mathematical beliefs. Subjects were participants in a special mathematics anxiety program. Beliefs are classified as instrumental and relational approaches to a situation. Emotion is also distinguished as a two-faceted…

Mathematical creativity is considered important by many mathematics educators. This literature review gives particular attention to attempts to assess creative ability. Two key aspects emerge related to fixations in problem solving and divergent production, and these might form the basic framework for fostering and rewarding mathematical…

Annual mathematics talent searches for 12-year-old students were conducted in Hamburg, West Germany. One-hundred-fifty students took part in a long-term Saturday enrichment program to train them in problem finding and problem solving. The philosophy of this program is explained and illustrated with preliminary data. (MNS)

From 1984 through 1988, the authors worked with teachers using an inquiry approach to teach high school geometry courses with the aid of the "Geometric Supposers." Problems are a critical component of the approach because they focus attention and energy and guide students in the application, integration, and extension of knowledge.…

Computer graphing makes it easier for students and teachers to create and manipulate graphs. Scale issues are nearly unavoidable in the computer context. In interviews and protocol analysis with six students from grade 8, and 12 students from grades 11 and 12, it became apparent that some aspects of scale are clearly understood very early while…

A total of 59 papers are compiled into these proceedings. The papers are organized alphabetically by each author's last name. A directory of speakers' names and addresses is included. In the index of this publication, papers are listed by session. General sessions are listed first, followed by 21 regular sessions: (1) "Logo and Music";…

Presents the 17th annual listing of mathematics education research published by this journal. Lists references alphabetically by author within the three categories of research summaries, articles, and dissertations. Indexes appropriate references with an age or grade level. Annotates studies which focused on mathematics education. (TW)

This report describes an analysis of the segments and shows of the first season's production of "Square One TV" in terms of its elaborated goals. It includes charts and graphs showing the treatment of objectives for the series' goals across the 75 shows of the series. The goals of the series are: (1) to promote positive attitudes toward,…

Describes a pilot project incorporating extensive use of computers in mathematics instruction. Test scores and homework from this group were compared with a group that did not use computers. Results were inconclusive and only revealed a shortage of appropriate instructional software. (MJP)

This study employs meta-analysis and cost-effectiveness instruments to evaluate and compare cross-age tutoring, computer assistance, class size reductions, and instructional time increases for their utility in improving elementary school reading and math scores. Using intervention effect studies as replication models, researchers first estimate…

Discussed is the classroom suitability of an open learning computer microworld centered around families of quadratic equations that provides a framework for exploring questions about parabolas to establish the link between the graphical and the algebraic representations of quadratic equations. (JJK)

Promotes mathematics instruction that goes beyond computation and problem solving, attempting to make children the "posers of problems." Addresses differences in hemisphericity, processing, and learning styles, as well as maturation differences, sex differences, effects of stimulation, enriched environments, emotion, and the control of attention.…

Forces created by the proliferation of computer hardware and software, by innovative methods of mathematical modelling and applications, by broader demographic considerations, and by schools themselves are profoundly changing the way mathematics is practiced, the way mathematics is taught, and the way mathematics is learned. In this volume, a…