The ability to solve linear equations sets students up for success in many areas of mathematics and other disciplines requiring formula manipulations. There are many reasons why solving linear equations is a challenging skill for students to master. One major barrier for students is the inability to interpret the equals sign as anything other than…

This study investigated the students' learning process of the concept of concentration at the elementary school level in Taiwan. The influence of different representational types on the process of proportional reasoning was also explored. The participants included nineteen third-grade and eighteen fifth-grade students. Eye-tracking technology was…

This paper reports part of the results of research on chemical problem solving behavior of pre-service teachers in Plateau and Northeastern states of Nigeria. Specifically, it examines and describes the methods used by 204 pre-service teachers in solving quantitative problems from four topics in chemistry. Namely, gas laws; electrolysis;…

Creativity can be described as the ability to generate new ideas and combine existing ideas in new ways to find novel solutions to problems. Creativity is enhanced by a free flow of knowledge and through social contact. On this basis, the authors argue that knowledge sharing is central to creativity in design and present preliminary evidence to…

Relations were examined between epistemic profiles, metacognition, problem solving, and achievement in the context of learning in an educational psychology course. Two hundred thirty-one university students completed self-report inventories reflecting their epistemic profiles and use of metacognitive strategies, and were epistemically profiled as…

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…

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…

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…

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.…