Troubleshooting in a practice situation requires two types of information, namely for reasoning about the problem-cause and for finding an adequate solution ("declarative information") and for manipulating the environment ("procedural information"). It is hypothesized that presenting this information piece-by-piece during practice (i.e.,…

This paper deals with a teaching approach aimed to help students become aware of targeted techniques of significance in problem solving. The teaching approach is to present a series of tasks that all can be solved by applying the same technique. Two levels of prompting are used; first for the students to realize solutions without necessarily being…

This paper reviews the presentation of problem solving and process aspects of mathematics in curriculum documents from Australia, UK, USA and Singapore. The place of problem solving in the documents is reviewed and contrasted, and illustrative problems from teachers' support materials are used to demonstrate how problem solving is now more often…

An aspect of the long history of the struggle to quantify motion is briefly traced through three extended problem sets suitable for use in first year calculus courses. The sketch culminates with an application of simple mathematics to one of the most current problems in the theory of the universe. (Contains 2 figures.)

This article describes how teachers learn to implement problem solving in their classrooms through participation in an evolving problem-solving class. (Contains 3 figures.)

This article describes the results of a year-long exploration of first graders' tool use. It also showcases instructional activities designed to link tool use with quantitative understanding. (Contains 3 figures.)

Peace education embraces a wide range of programs and initiatives. Two of those subfields, human rights education and conflict resolution education, are often considered too different in goals, models and content to be seen as partners in the same educational effort. A review of recent literature confirms that few conflict resolution education…

This article synthesizes findings from previous research on instructional interventions in mathematics for students with emotional and behavioral disorders (EBD). A systematic search of the literature from 1985 through December 2005 yielded 13 studies that met the criteria for inclusion in this review. The review yielded several findings: (a)…

Technology educators are constantly in search of new tools and methods to enhance the education of their students. This article is an excerpt from a longer article published in "The Technology Teacher" that introduced the technology education community to a research- and knowledge-based methodology for design--invention and innovation. This…

Teacher should strive to be more than the authority in the classroom identifying right versus wrong relating to problem solving. Identifying and emphasizing what aspects of an answer are mathematically correct improves students' confidence to tackle challenging problems and they view themselves as mathematical problem solvers.

This study describes three teachers and their experiences of an arts-integration reform model amidst the high-stakes accountability movement. Their struggle to practice arts integration within their school district, a culture in which high-stakes testing is prioritized is described by way of a circus metaphor. Through the theoretical lens of Self…

This mixed-methods study assessed the effects of Enhanced Anchored Instruction (EAI) on the math performance of adolescents with learning disabilities in math (MLD). A quasi-experimental pretest-posttest control group design with switching replications was used to measure students' computation and problem-solving skills on EAI compared to control…

Human Biology courses are typically offered for non-biology majors who, like students in high school biology courses, have varying degrees of motivation and background. The primary focus is on explaining the biology behind human health and disease, but human ecology, human evolution, and human genetics may also be covered. Hence, Human Biology…

The present studies were conducted to investigate students' conceptions of distinct constructivist assumptions. To that end, a questionnaire was developed containing statements about four constructivist assumptions: The importance of knowledge construction, cooperative learning, self-regulation, and the use of authentic problems together with…

Teaching and learning mathematics with technology poses a unique dilemma. If technology is to enhance mathematical achievement (NCTM, 2000), why do documented studies indicate that this may not be the case (Waxman, Connell, & Gray, 2002)? This study looks at the learning environment used when teaching with technology. What in the instructional…