Proposes three types of supplementary problems to develop students' skill in interpretation of graphically represented data. Eleven examples are presented and solved for the following types of problems: comparison of one quantity to another, comparison of two quantities that each depend on a common parameter, and reasonable data prediction. (MDH)

Two studies to determine how students interact with two microworlds that reflect a constructivist view of learning investigated students' goals during interaction, strategies utilized to achieve their goals, changes in goals during interaction, and common patterns of interaction and learning. Concludes that well-designed games enable students to…

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

Discusses results of an action research study of second-grade students' group work which indicated that, when students were not given sample solutions for problems, they were more likely to use higher order thinking, take ownership of strategies, discuss solutions longer, and be more accepting of other views. (MKR)

Examples from related case studies illustrate possible consequences of a social constructivist approach to learning and teaching mathematics. Discusses student tasks that promote flexibility in mathematizing subject matter; constructive versus Euclidean geometry approaches; working with real-life mathematics problems; and product versus process…

Discusses how children's books can engage students in communicating mathematical ideas. Describes situations in which teachers use literature as a stimulus for thinking, listening, writing, speaking, and reading about mathematics. (12 references) (MDH)

The problem-of-the-week (POW) and problem-solving class openers are exemplified as methods for the integration of course-relevant problem solving into a first-year algebra classroom without sacrificing time spent on developing skills and learning concepts. Illustrated examples, as well as problem sources, are included. (JJK)

Describes study of eighth grade students that was designed to determine whether gender of the protagonist in mathematics story problems can play a significant role in mathematics learning. The use of the Secondary-School Attitudes toward Women Scale is described, and correlations among individual difference and task-outcome variables are analyzed.…

Presents a diagnostic teaching unit in general science designed to identify effective learning strategies for seventh-grade students with learning disabilities or behavior disorders. The unit is intended to identify effective strategies for students in reading comprehension, mathematics problem solving, and memory. Detailed instructions for four…

"Principles and Standards for School Mathematics" states that in the middle grades "measurement concepts and skills can be developed and used throughout the school year rather than treated exclusively as a separate unit of study" (National Council of Teachers of Mathematics 200, p. 241). This article describes a collaborative activity that…

Many students doubt that statistical distributions are of practical value. Simulation makes it possible for students to tackle challenging, understandable projects that illustrate how distributions can be used to answer "what-if" questions of the type often posed by analysts. Course materials that have been developed over two years of classroom…

Educators who thoroughly investigate data, raise questions, examine student learning, test their hypotheses, and then share their findings are mirroring effective math and science instruction. Using collaborative inquiry, data teams can help improve teacher knowledge and help teachers change their practice in ways that will enhance student…

Research is only beginning to show the benefits of the effective use of manipulatives with students who have disabilities. This article highlights how teachers can incorporate three manipulative instructional strategies to help students with high-incidence disabilities.

Middle school prealgebra students (n=157) learned about functions in a 20-day unit that emphasized: (1) representing problems in multiple formats, (2) anchoring learning in a meaningful thematic context, and (3) discussing problem-solving processes in cooperative groups. They produced smaller pretest-to-posttest gains on symbol manipulation tasks,…

In order to prepare prospective teachers of secondary school mathematics to effectively guide the teaching and learning process using technology, a new required course was developed at Middle Tennessee State University. Technology has been integrated into mathematics courses in which these preservice teachers are enrolled. This paper discusses the…