This article describes one teacher's efforts at creating a differentiated mathematics program in her multi-age first- and second-grade classroom. The author describes challenges encountered and successes met in this process, as well as the structures she uses to meet a variety of student abilities, including open-ended problem-solving tasks,…

Two intervention studies are described. Both were designed to study the effects of teaching children about the inverse relation between addition and subtraction. The interventions were successful with 8-year-old children in Study 1 and to a limited extent with 5-year-old children in Study 2. In Study 1 teaching children about inversion increased…

This article discusses the findings of a recent study which demonstrates that generic attributes are highly context-dependent, and are shaped by the disciplinary epistemology in which they are conceptualised and taught. Generic attributes have, for a long time, been viewed as super-disciplinary, and hence as separated from and overlayed onto…

An account is given of the importance and role of trust in motivating teachers to understand students and develop instructional approaches. Three examples of student actions, teacher learning, and instructional change that resulted from understanding students' goals are presented, as well as guidelines for teacher reflection. (Contains 3 figures.)

Teamwork and technology, even as people are seeing their increased use in organizations, are becoming important components of problem-based learning in academic settings. Yet, fostering computer-assisted teamwork is complex and time consuming. Knowing how and when to intervene would prove useful. This study draws from the field of project…

Monk and Osborne ("Sci Educ" 81:405-424, 1997) provide a rigorous justification for why history and philosophy of science should be incorporated as an integral component of instruction and a model for how history of science should be used to promote learning of and about science. In the following essay we critique how history of science is used on…

This paper presents a collaborative educational experiment "The Death of the Dead Sea: A Problem Based Learning" that was applied in two governmental high schools in Ramallah, Palestine in the school year 2006-2007. The students' role was to raise awareness to the phenomenon of the saltiest lake that shrinks towards extinction. In spite…

This paper, part of a series of working papers published to provide documentation of research and development efforts associated with the Indigenous Mathematics Project of Papua New Guinea, discusses the role of problem solving in the mathematics curriculum and types and characteristics of good problems, with illustrations. Reasoning by analysis…

The values-in-conflict approach is emphasized as an effective method for developing student understanding of social problems. For journal availability see annotation SO 504 171. (Author/DE)

The key to the improvement of teacher education lies in the identification of a set of problems that legitimately can claim to be so generic and important that all who teach will be familiar with them. Such problems are what case studies portray. Case studies constitute the problemata of the professional curriculum. In the present state of…

This monograph provides teachers with a wide range of articles on the teaching of problem solving in the mathematics classroom. The first section, on Understanding the Problem, includes articles which provide a sense of the "problem" of teaching problem solving. The second section, on Devising a Plan, provides suggested plans for…

The fourth part of a 10-part series, this report was compiled by the Educational Development Center at Wilkes College. The series deals with various aspects of the treatment of delinquents and is intended as a summary of research findings in each of the areas treated. Each report was prepared by a scholar-practitioner and is presented in a way…

Three approaches to teaching university-level creative problem-solving skills are described. (BD)

Six bonuses that students and teachers experience when using calculators are described. Then problem solving and creative problem-making are discussed, followed by practical suggestions for teachers who want to try calculators. Advice on personalizing the use of calculators and recognizing some of their limitations is also included. (MNS)

The skill of asking appropriate intermediate questions during problem solving is discussed. Several problems and other classroom activities are also presented. (MNS)