In this article, framed as a conversation, the authors discuss the learning resulting from a variety of geometry tasks they have conducted with their students. None of them are convinced that all the geometry tasks within the numeracy strategy prescribed in English schools are necessarily good for children or aimed at the right age range. Using…

"Cognitive Tutor[R] Algebra I," a full year course, delivers instruction in single variable data, simplifying linear expressions, mathematical modeling, solving systems with linear equations, problem solving using proportional reasoning, and powers and exponents. Students work at their own pace to develop problem-solving skills. The…

I identify and discuss ways in which different types of connections are described in the South African mathematics National Curriculum Statement and its related documents, particularly at the Further Education and Training (FET) level. I argue that connections are central to the way the discipline of mathematics, its learning outcomes, and…

This book includes two main sections: a discussion of problem solving and a section on computation with whole numbers. A primary theme of the text is that problem solving sets the stage for meaning and conceptual development with respect to numbers. The section on problem solving includes numerous problem-solving activities that have a dual…

Finnish curriculum guidelines for early education emphasise play and creative activities as significant factors in healthy child development. Constructivist theory loosely frames the guidelines, but the recommended approach lacks precise developmental goals. Since 1996, we have carried out a narrative learning project with vertically integrated…

The article focuses on engaging students in algebra through modeling real-world problems. The technique of least squares is explored, encouraging students to develop a deeper understanding of the method. (Contains 2 figures and a bibliography.)

We describe the implementation and effects of group problem solving in recitation sections associated with the general chemistry course at a small private science university. Recitation sections of approximately 45 students are used to supplement large (approximately 180 students) lecture sections. The primary goal of recitation is working in…

This paper demonstrates how a diagram of a Safeway supermarket can be the vehicle for a language lesson based on Lawrence's cognitive categories (classification, definition, spatial order, chronological order, generalizations and specifics, and cause and effect). A wide variety of decision-making activities based on this diagram are described.…

This paper discusses "Guided Design," a method for teaching course content which engages students in group decision-making, where problems are solved or issues are resolved in a step-by-step process using instructions and feedbacks especially prepared to make students think for themselves about subject matter rather than depend on the…

An introductory problem for a theatre history course presents the process of group decision making and problem solving in theatre studies, encourages students to compare values when collecting information and making decisions, and illustrates the variety of dramatic forms, production styles, and economic concerns of contemporary theatre. Entitled…

Arguing that electronic networking provides a medium which is qualitatively superior to the traditional classroom for conducting certain types of problem solving exercises, this paper details the Water Problem Solving Project, which was conducted on the InterCultural Learning Network in 1985 and 1986 with students from the United States, Mexico,…

Based on the view that making social concepts and feelings concrete would help children in primary grades to take turns, cooperate, and solve their problems respectfully, this curriculum uses a story about the Rainbow Kids, an imaginary community of children, to introduce children to social concepts and conflict resolution skills. The Rainbow Kids…

This publication features articles that illustrate how several Northwest teachers are using problem solving to achieve rigorous and imaginative learning in their classrooms. Articles include: (1) "Open-Ended Problem Solving: Weaving a Web of Ideas" (Denise Jarrett); (2) "Teenager or Tyke, Students Learn Best by Tackling Challenging Math" (Suzie…

Developed by classroom teachers during the development phase of Minnesota's Graduation Standards, this performance package is made up of locally designed assignments that, taken together, show whether a student has learned and can apply the knowledge and skills related to demonstrating effective English language communication skills in personal,…

Noting that elementary school students can learn to resolve basic everyday conflicts without resorting to verbal or physical aggression, this empathy-based program provides a foundation for resolving problems without the intervention of mediators or adults and for providing written documentation of the solution for parents, administrators, and…