Many students are challenged when tasked to complete a word problem. While they may know the procedural steps to solve an equation, translating a word problem into an appropriate equation and producing a solution may often cause students to become confused or unwilling to try. This article provides a potential solution for teachers by discussing…

An incubation effect occurs when taking a break from a problem helps solvers arrive at the correct solution more often than working on it continuously. The forgetting-fixation account, a popular explanation of how incubation works, posits that a break from a problem allows the solver to forget the incorrect path to the solution and finally access…

This article focuses on the potential relevance of mathematical conceptions to justice-oriented teaching. The authors believe that culturally responsive mathematics teaching requires the holding of high expectations for students' engagement in critical thinking abilities by respecting their backgrounds and engaging their contemplation and analysis…

"Using the Common Core State Standards for Mathematics With Gifted and Advanced Learners" provides teachers and administrators examples and strategies to implement the new Common Core State Standards (CCSS) with advanced learners at all stages of development in K-12 schools. The book describes--and demonstrates with specific examples from the…

The ability to memorize facts is not enough to equip students to solve problems or navigate an evolving world. If we educate young people to become flexible, metacognitive thinkers--and model that behavior for them--they will understand how to adapt their learning and successfully find their way in new territory. This book shows school leaders how…

This research investigation examined the effects of Singapore's Model Method, also known as "model drawing" or "bar modeling" on the word problem-solving performance of American third and fourth grade students. Employing a single-case design, a researcher-designed teaching intervention was delivered to a child in third…

Background: In the last few decades, conceptions about teaching and learning in physical education have evolved from a teacher-centred approach to a more student-centred approach where learners are encouraged to develop problem-solving skills, critical thinking and autonomy of thought. A popular model advocating this approach in physical…

A significant issue mathematics instructors face is how to cover all the material. Mathematics teachers of all levels have some external and internal pressures to "get through" all the required material. The authors define "the coverage issue" to be the set of difficulties that arise in attempting to cover a lengthy list of topics. Principal among…

Based on the results of a survey of the science and mathematics students at our university, we observed that students do not consider mathematics and science to be creative endeavors, though the traditional artistic disciplines rank high in this regard. To address this problem in perception, the authors used photography as a means to encourage…

Discussions held in the chemical education community have generated a variety of reports and recommendations for reforming the chemistry curriculum. The recommendations refer to teaching chemistry in the context of real-world issues. This has been suggested as a way to enhance students' motivation. It is suggested that real-world problems…

In school, at least in the US, we were taught to multiply by hand according to a standard algorithm. Most people find that algorithm difficult to use, and many children fail to learn it. We propose a new way to make sense of this difficulty: to treat explicit computation as perceptually supported physical and mental action. Based on recent work in…

The eight mathematical practices explored in the Common Core Math Standards are the following: (1) Make sense of problems and persevere in solving them; (2) Reason abstractly and quantitatively; (3) Construct viable arguments and critique the reasoning of others; (4) Model with mathematics; (5) Use appropriate tools strategically; (6) Attend to…

There have been calls in the literature for reforms to assessment to enhance student learning (Shepard, 2000). In many instances, this refers to the need to move from traditional assessment procedures that are characterized as content-heavy, summative, and norm-referenced approaches to more constructivist and student-centred approaches, often…

Could problem solving be the object of teaching in early education? Could appropriate teaching interventions develop to scaffold children's efforts to solve problems? These were the central questions of this article. The sample consisted of 18 children attending public pre-school in Cyprus. The problem they were asked to solve was to find all…

The author presents a strategy for helping students with emotional and behavioral disorders become more proficient at solving math word problems. Math word problems require students to go beyond simple computation in mathematics (e.g., adding, subtracting, multiplying, and dividing) and use higher level reasoning that includes recognizing relevant…