The authors completed a narrative review of studies of mathematics interventions from 1996 to 2010 for helping elementary school students with difficulties in mathematics solve word problems. Key instructional components supported by research are teaching cognitive and metacognitive skills; schema-based instruction focusing on semantic analysis,…

Too often, teachers scratch their heads and ask, "What were my students thinking?" then answer, "I don't want to know." But teachers should want to know, and students should question their own thinking, as well. Critical thinking involves not just problem solving, creativity, analysis, and synthesis but also self-awareness of learning and learning…

In Thailand, the Center for Research in Mathematics Education (CRME) has been implementing Japanese Lesson Study (LS) since 2002. An adaptive feature of this implementation was the incorporation of four phases of the Open Approach as a teaching approach within the three steps of the LS process. Four phases of this open approach are: 1) Posing…

The aim of this paper is to investigate the role that auxiliary means (manipulatives such as cubes and representations such as number line) play for kindergartners in working out mathematical tasks. Our assumption was that manipulatives such as cubes would be used by kindergartners easily and successfully whereas the number line would be used by…

In order to be effective competitors in the marketplace, students must be able to think critically, communicate complex ideas through writing, collaborate with peers, and apply their knowledge of biological science to generate solutions for issues facing society. In this paper we examine the nature of the instructional tools, strategies, and…

Prior studies have not tested whether an instructional intervention aimed at improving metacognitive skills results in changes to student metacognition, motivation, learning, and future learning in the classroom. We examined whether a 6-hr intervention designed to teach the declarative and procedural components of planning, monitoring, and…

In this case study, we researched one cohort from the Center for Animation, a higher education teaching environment that has successfully fostered group creativity and learning outcomes through problem-based learning. Through live and videotaped observations of the interactions of this community over 18 months, in addition to focused interviews…

This study was conducted with the purpose of analyzing high school students' approach to problem solving activities, namely the metacognitive abilities and the strategies they employ. The results show that although students apply basic strategies well, they use a trial-and-error approach, they give-up when faced with difficulties and have…

What is the product of Lesson Study? Lesson Study is a scientific activity for teachers based on the methodology introduced in the 1880s. In Japan, research topics for Lesson Study are usually shared through the regular revisions of the curriculum and the research movement of several societies. As a result of teachers' efforts to overcome…

The goal of this study was to determine whether adult students incarcerated at a large correctional facility in New England use the provided scientific calculator appropriately when taking the Official GED Practice Test in mathematics. 13 students were interviewed after taking a practice test and asked for their strategy for solving each problem.…

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…

Just as ready-made clothes may not provide a perfect fit for all bodies, math lessons may not be a perfect fit for all students. Published instructional tasks, including problems in mathematics textbooks, often need to be tailored to be meaningful, relevant, or accessible to each student. Ways are possible to take high-level reasoning tasks and…

This essay is about how to learn to organise to tackle the intractable and most difficult problems of organisations and societies. It opens with a discussion of the nature of such problems, which are the spur for Revans' action learning and the focus of some recent thinking on leadership. Action learning works on the basis of peer relationships…

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…

The Models and Modeling Perspectives (MMP) has evolved out of research that began 26 years ago. MMP researchers use Model Eliciting Activities (MEAs) to elicit students' mental models. In this study MMP was used as the conceptual framework to investigate the nature of students' models of curve fitting in a problem-solving environment consisting of…