Traditional mathematics education focuses on teaching rote procedures to solve problems, though these procedures are not usually motivated by goals. As a result, students have trouble flexibly using procedures and generalizing their knowledge to solve novel problems that differ from the problems they practice during instruction. In the following…

The National Council of Teachers of Mathematics calls for an increased emphasis on proof and reasoning in school mathematics curricula. Given such an emphasis, mathematics teachers must be prepared to structure curricular experiences so that students develop an appreciation for both the value of proof and for those strategies that will assist them…

This invited commentary includes observations about the article "Building Local Capacity for Training and Coaching Data-Based Problem Solving with Positive Behavior Interventions and Support Teams," published in the July 2011 issue of the "Journal of Applied School Psychology." In this article Newton and colleagues present an interesting field…

The authors describe an Open Source approach to education. They define Open Source Education (OSE) as a teaching and learning framework where the use and presentation of information is non-hierarchical, malleable, and subject to the needs and contributions of students as they become "co-owners" of the course. The course transforms itself into an…

In an accompanying study, Alibali et al. [Alibali, M. W., Ockuly, K. M., Fischer, A. D. (2009) "Learning new problem-solving strategies leads to changes in problem representation." "Cognitive Development, 24," 89-101.] present an important experimental result: introducing a new strategy can affect conceptual aspects of children's problem…

This paper describes a framework for learning where learners undergo experimentations with the phenomena at hand according to progressive and staged goals. Bowling is used as a case study in this paper. The premise for experimentations is that learners can experience hidden efficacies, including the formation of "bad habits." A distinction is made…

Sustainable management of marine resources raises great challenges. Working with this socio-scientific issue in the classroom requires students to apply complex models about energy flow and trophic pyramids in order to understand that food chains represent transfer of energy, to construct meanings for sustainable resources management through…

This study, based on experiential play methodology was used to explore student engagement while playing "Medal of Honor (2002)" and "Call of Duty (2003)". It identifies some of the key issues related to the use of video games and simulations during the training phase of game play. Research into the effects of gaming in education has been extremely…

Purpose: The purpose of this paper is to identify the key roles embedded in the informal organizational structure (informal networks) and to outline their contribution in the companies' performance. A major objective of the research is to find and characterize a new key informal role that synthesises problem solving, expertise, and accessibility…

The purpose of this study was to explore and develop a conceptual model for how individuals unlock insight. The concept of insight--the "out of the box" or "aha!" solution to a problem--offers a framework for exploring and understanding how best to enhance problem solving skills due to the cognitive shift insight requires. Creative problem solving…

This paper examines the way two 10th graders cope with a non-standard generalisation problem that involves elementary concepts of number theory (more specifically linear Diophantine equations) in the geometrical context of a rectangle's area. Emphasis is given on how the students' past experience of problem solving (expressed through interplay…

Research (Fish, 2004) suggests that everybody should be taught how to freehand sketch and utilise it as a tool for supporting the visualising instinct. A fundamental shift in philosophy of the technology education system in Ireland towards design driven subjects brought with it a need to develop practising teacher's technological capabilities.…

As part of an integrative learning experience at the end of a sophomore Calculus II course at the United States Military Academy, this project served as a multidisciplinary problem-solving exercise that explored the connections among mathematics, biology, and other fields of study. During a seven-lesson block of instruction, this module was…

We propose to mine temporal patterns in Intelligent Tutoring Systems (ITSs) to uncover useful knowledge that can enhance their ability to provide assistance. To discover patterns, we suggest using a custom, sequential pattern-mining algorithm. Two ways of applying the algorithm to enhance an ITS's capabilities are addressed. The first is to…

Although substantial attention has been directed toward building the psychometric evidence base for academic assessment methods (e.g., state mastery tests, curriculum-based measurement), similar examination of behavior assessment methods has been comparatively limited, particularly with regard to assessment purposes most desirable within…