The article describes a series of mathematics master classes held in London for 12- to 14-year-old students with exceptionally high mathematical ability. The emphasis of the classes was on problem-solving. A synopsis of the activities is included. (DB)

Six adolescents with learning disabilities participated in an eight-step cognitive strategy designed to enable students to read, understand, carry out, and check verbal math problems encountered in the general math secondary curriculum. Visual analysis of the data indicated the strategy was an effective intervention for Ss with deficits in verbal…

As part of a larger investigation of preservice teachers' use of, and movement amongst, various modes of representing exponential relationships, this report focuses on one case study, that of Mike, whose facility in moving amongst representational registers was not matched by conceptual understanding of the underlying mathematical ideas as he…

In this paper I will present the rationale that motivates the study in an ongoing three-year project following students in school years 8 to 10. The aim is to develop the students' competence with use of ICT tools in mathematics in such a way that they will be able to choose tools for themselves, not rely just on the teacher telling them what to…

High stakes tests are increasingly used to monitor systemic improvements in mathematics and teachers are expected to rely on the results of such tests to adapt their instructional practices. We examine the Texas Assessment of Academic Skills (TAAS) over a period of three years to examine to what extent its results can be used to guide…

Research into problem solving and higher-order thinking skills in school mathematics was being addressed in Japan as early as the 1970's. Although this book clearly addresses the important aspects of problem solving, it also has implications for improving assessment in problem solving. The first phase of Japanese research on the open-ended…

This paper describes an aspect of an evaluation for a new mathematics teaching technique in primary school. This evaluation is inspired by the theory and conceptions which are at the base of the innovation. By offering an analogy between the situation of the teacher who must adapt to new ways and that of the pupil facing a "problem situation," it…

This book introduces concepts of geometry that students use throughout middle-grade and higher-level mathematics courses. These concepts, presented through the study of transformations, provide a framework for other important topics such as number, measurement, proportional reasoning, and graphing on the coordinate plane. The book is designed for…

A reply to questions raised by Leroy G. Callahan in the "Journal for Research in Mathematics Education," volume 5, 1974, pages 60-63. (JP)

A problem about minimum distance travelled on a route through ten cities is used as a means for giving students practice in addition and with problem-solving skills. (DT)

Four levels of quantitative comparisons based on Piagetian task analysis and three IQ levels were used to partition a population of 341 first grade children. Each child was then tested on a set of addition facts and a set of addition problems which varied according to the use of aids or transformation. (JG)

Study results indicate that teachers should be less concerned with teaching relationships between problem elements and more concerned with helping students to identify logical assumptions made in problem statement. (Author)

Explains a discovery activity using the possible positions of the faces of a cube when represented in two dimensions. Suggests rules which would determine which of the edges would connect if the drawing were folded to form the cube. (RS)