Teaching critical thinking, an educational goal widely discussed in the last 30 years (Halpern, 1993), is an essential element of professional and higher education as it promotes reasoned judgments under "conditions of uncertainty," a hallmark of professionalism (Levine, 2010; Shulman, 2005; Perry, 1970). In this study, the researchers…

Proportional reasoning is both complex and layered, making it challenging to define. Lamon (1999) identified characteristics of proportional thinkers, such as being able to understand covariance of quantities; distinguish between proportional and nonproportional relationships; use a variety of strategies flexibly, most of which are nonalgorithmic,…

When young children attempt to locate the positions of numerals on a number line, the positions are often logarithmically rather than linearly distributed. This finding has been taken as evidence that the children represent numbers on a mental number line that is logarithmically calibrated. This article reports a statistical simulation showing…

In higher education the main subjects build on the knowledge acquired in high school. Research shows that students entering universities have acquired basic knowledge to different extents. It is very important to be able to apply mathematical knowledge directly. Students often treat practical knowledge separately from theoretical knowledge. They…

Students in the United States demonstrate low proficiency in their math skills. One promising intervention, computer-assisted instruction, may be used for remediation. There is growing support that computer-assisted instruction is effective for increasing addition and multiplication accuracy and fluency, but more research is necessary in order to…

For students who are not science majors, problem-based (PB) laboratories for first-year chemistry provide a more comprehensive experience than conventional expository ones. Implementing PB labs is reasonably easy, as the lab experiments may not need to change; what changes is the way the lab manual is set up and how the actual session is carried…

This study investigated the effectiveness of "Solve It!" instruction on students' knowledge of math problem-solving strategies. "Solve It!" is a cognitive strategy intervention designed to improve the math problem solving of middle school students with learning disabilities (LD). Participants included seventh- and eighth-grade…

The purpose of this study was to assess the effectiveness of an intervention designed to foster epistemic change over the course of 1 semester. The intervention was based on constructivist teaching practices that incorporated teacher modeling of critical thinking of content, evaluation of multiple approaches to solving problems, and making…

Supporting and upskilling teachers are essential to enhancing the quality of learning in developing contexts -- the focus of Education For All -- yet little evidence exists concerning what kinds of teacher education are actually most effective and what changes in "quality" are desired and feasible. This paper illustrates how a concrete,…

The purpose of this study was to examine current pedagogical practices in early childhood education and care in Tanzania, a reflection from policy and practices to the implementation of Learner-Centred Pedagogy and to put forward possible improvements for the future. In 2005 a new pre-school education curriculum introduced a learner-centred…

This special issue of the Canadian Mathematics Education Study Group/Groupe Canadien d'Étude en Didactique des Mathématiques (CMESG/GCEDM) Proceedings looks at CMESG/GCEDM's collective history, reflects on where the group has been, and who the members have become as an organization. Through a selection of excerpts from past proceedings, the…

Is it actually certain that our students are changing during our social studies classes? This paper aims to reveal structural development and evaluation in social studies education which is related to national curriculum requirements and focused on particular students in order to test the effectiveness of the lesson. In order to increase students'…

Number sense is critical to the development of higher order mathematic abilities. However, some children have difficulty acquiring these fundamental skills and the knowledge base of effective interventions/remediation is relatively limited. Based on emerging neuro-scientific research which has identified the association between finger…

Based on findings from a semester-long study, this article examines the development of Samoan prospective teachers' mathematical understandings and mathematics attitudes when investigating authentic contexts and applying working mathematically processes, mental computations and problem-solving strategies to find solutions of problems. The…

Instructional coaching runs the risk of being abandoned by policy makers and secondary schools if efficacy expectations related to adolescent literacy are not met (Knight, 2010; Walpole & McKenna, 2008). Research into coaching has examined the roles of coaches (Borman & Fenger, 2006; Smith, 2007) as well as the stances employed during…