The narrative structure of a classroom event describes the order in which the story of the event unfolds. This paper compares the narrative structure of a traditional classroom to that of a communicative classroom. The comparison is made in the form of a drama in which a communicative mathematics spokesperson relates the comparative mathematics…

The International Group for the Psychology of Mathematics Education (IGPME) was founded in 1976 at the Third International Congress for Mathematics Education, to promote international contacts and the exchange of scientific information in the psychology of mathematical education. The goal was to further a deeper and more correct understanding of…

This guide outlines an Option Y course, which has seven learner objectives geared to providing students with an introduction to the concerns and methods of statistics and equipping pupils to deal with the many statistical matters of importance in society. Topics included in the course are graphs and charts, collection and organization of data,…

This book is designed as a report and an in-service tool for teachers of grades K-6. It is built around the idea that the standard textbook treatment of metric measurement gives rise to many misconceptions among primary grade children. This report is a record of the development of alternative methods for introducing measuring activities to…

A primary science program was developed over a 2-year period at a Montessori school. The program is intended to encourage creative but logical thought and active participation by the child in learning "hows" and "whys." It teaches the mathematical operations (measurement and comparative notation) necessary to know what to do with scientific…

States the objectives and implementation procedures for this teacher-directed or individualized learning discovery unit. Describes the value of the program and additional activities that can be included. Shows a copy of the program. (RT)

The goals of this study were to investigate problem-solving in a context that requires a rich interaction among social, motivational, and cognitive processes and to compare the effects of the mediated and discovery models of learning on students' problem-solving processes in the complex technology-based learning environment. Subjects were 88…

Proposes that problem scenarios are activities that give students opportunities to employ mathematics across the curriculum by asking them to define problems, identify information needed and potential sources of data, and make related conjectures. Discusses an example of a scenario involving transportation. (MDH)

Presents a unit to review geometric concepts and problem solving by having students work cooperatively to discover geometric shapes constructed from two congruent right triangles obtained from cutting a rectangle along its diagonal. Students report their findings both orally and in writing. (MDH)

Presents activities to teach the formula for the area of a rectangle that require students to determine the cost of refurbishing their school's tennis courts. Students collect their own data, organize information, and make decisions individually and as a group to solve the problem. Worksheets are provided. (MDH)

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

Presents three features of "Good" questions: requires students to do more than simply remember a strategy to answer; promotes student learning while answering the question; and have several acceptable answers. Considers how questions can be used to cater to the range of student abilities. (MDH)

Presents a gamelike context that provides general-mathematics students the opportunity to explore situations involving chance and develop reasoning about probability. Provides three worksheets for activities that promote components of the NCTM's Curriculum and Evaluation Standards for School Mathematics. (MDH)

Presented is an activity that explores the relationship between the size of a rectangle and the number of squares intersected by a diagonal. Students incorporate pattern recognition and the concept of the greatest common divisor in solving the problem. A sample worksheet is provided. (MDH)

N:4$2 N:4$N Reported are results of a Technical Education Research Centers (TERC) project describing telecommunication interactions between groups of students using the computer software unit "Connectany." Polygons are formed through repetitive "jumps" between points on a circle. Investigation questions and results are shared…