This yearbook sharpens the views of mathematical reasoning and its development at all grade levels. Various perspectives about the nature of reasoning and addresses the many issues and concerns involving mathematical reasoning such as how learners reason in mathematics, how communication promotes reasoning, how teachers gather evidence of student…

Attitudinal and attributional variables relating to the election of mathematics courses by females and males are identified. A small set of variables explaining the variance in female and male mathematical plans was found. These results may help in understanding why larger proportions of males than females elect mathematics. (Author/GK)

A program designed to tutor algebra students in inequalities is presented. The program is designed around the graphics of the Apple II computer, and randomly picks graphs, and shades inequalities. (MP)

A program designed in the BASIC programing language to provide drill and practice with positive and negative numbers is presented. (MP)

This article reports a field evaluation of experimental first-year algebra materials, "Algebra Through Applications." Effectiveness of the materials was evaluated in terms of achievement, attitude, transfer to consumer, problem solving, readability, and implementation. Overall, it was found the experimental materials could be used…

Discusses the importance of toys in improving students' motivation and understanding of scale, proportions, and ratios by connecting toys with their real-life counterparts. Presents a unit that includes measurement activities in order to teach these topics by comparing toys and actual measurements for known and unknown scale toys. (ASK)

Discusses the different learning styles of gifted middle-school males and females in single-sex algebra classes. Discusses the barriers faced by girls in mathematics courses and the benefits of providing girls with opportunities to think and problem solve in an environment less permeated with societal expectations of femininity. (CR)

Discusses the interconnection among the various modes of the TI-92 calculator (geometry, data graphing, function graphing, and algebra) and how the power of visualization is extended to provide multiple approaches to complex problem situations. Provides a graphing problem with illustrations and results. (AIM)

Presents a methodology designed to strengthen the cognitive effects of using graphing calculators to solve polynomial equations using pattern matching, searching, and heuristics. Discusses pattern matching as a problem-solving strategy useful in the physical, social, political, and economic worlds of today's students. (DDR)

Shares broad classroom strategies for enhancing academic achievement for all students and discusses the nature and scope of each strategy. (KHR)

Describes a card trick that provides opportunities for students to discover patterns, work with variables, create tables, and ponder mathematics. Students at various levels of ability are able to enjoy the trick, and mathematical discourse is promoted within the classroom. (AIM)

Presents an approach to explaining a relation, a - b = -(b - a), that is difficult for algebra students to understand. The approach came about as a result of discussions with students in which they provided many novel explanations. (DDR)

Describes a project combining precalculus and transition mathematics students focusing on popcorn by comparing popping ratios of different brands of popcorn and finding what size box could hold the most popped corn. Project design required group effort and cooperation. Students exhibited growth of positive attitudes toward the study of mathematics…

Examines five perceived inhibitors of successful performance in an intermediate algebra course: (1) non-native English speaking faculty; (2) teaching assistants versus adjunct faculty; (3) student performance in mathematics versus other courses; (4) relationship of student performance to performance in subsequent mathematics courses; and (5)…

Discusses the importance of identifying and describing the pattern by students in algebra class. Provides some examples showing the usefulness of the method seeing the pattern from mathematical materials. (YP)