The present study aims to investigate the effects of a design experiment developed for third-grade students in the field of mathematics word problems. The main focus of the program was developing students' knowledge about word problem solving strategies with an emphasis on the role of visual representations in mathematical modeling. The experiment…

A perceived difficulty is associated with physics problem solving from a learner's viewpoint, arising out of a multitude of reasons. In this paper, we have examined the microstructure of students' thought processes during physics problem solving by combining the analysis of responses to multiple-choice questions and semistructured student…

In this article, the authors discuss how educators can engage students in real world learning using their academic knowledge and technical skills. They describe how school districts have discovered that the world of robotics can help students use technical skills to solve simulated problems found in the real world, while understanding the…

Much attention has been devoted in the literature to students' struggles with fraction division. With regard to the traditional invert and multiply algorithm, researchers and educators have examined such areas as typical errors, how to help students understand why this method works, and what alternatives are available that might be more intuitive.…

As a fifth-grade mathematics teacher, the author tries to create authentic problem-solving activities that connect to the world in which his students live. He discovered a natural connection to his students' real world at a computer camp. A friend introduced him to Alice, a computer application developed at Carnegie Mellon, under the leadership of…

Mr. Carter is about to start a two-day lesson on subtraction of integers with his sixth-grade prealgebra students. He plans to use contextualized problems that will allow his students to develop an interpretation of subtraction that involves the idea of "difference." This article outlines one way to teach students develop number line…

Although any mainstream thought is subject to theoretical challenges, the challenges to the mainstream cognitive perspective on transfer have had an unfortunate divisive effect. This article takes a pragmatic view that transfer perspectives are simply designed objects (Plomp & Nieveen, 2007), which provide different information for different…

Negotiation of language form is thought to engage learning processes by helping learners to notice gaps in their developing L2 and find target-like ways of filling them. Self-transcription, where learners work together to find language errors in recordings of their own oral output, is an awareness raising exercise that encourages such negotiation.…

This study sought to find student perceptions of how the engineering design process is learned and applied by pre-service teachers at the University of Georgia. The course description read "demonstration and hands-on learning, including problem solving, designing, construction and testing of prototypes, and activities that increase aesthetic,…

Halloween provides an opportunity to teach public administration and nonprofit management concepts in a fun way, which increases student retention and understanding. Teaching cases are an evidence-based pedagogical tool that facilitates active learning and brings together perspective-taking, critical thinking, and problem-solving. This article…

With increasing calls for a greater connection between management education and practice, teaching cases play a vital role in the business curriculum. Cases not only allow instructors to expose students to practical problems but also let educators contribute to the scholarship of teaching and learning. An important reason why faculty members may…

This article describes some problems of the maximum/minimum type, which are generally solved using calculus at secondary school, but which here are solved algebraically. We prove six algebraic properties and then apply them to this kind of problem. This didactic approach allows pupils to solve these problems even at the beginning of secondary…

When given the opportunity to work with mentor programs in schools, this author has recommended a global prescription for mentors to help new teachers make the transition into the world of teaching: encourage them to follow the practices that are most like those of good, experienced teachers. Experienced teachers are different from new teachers;…

Future global challenges that engineering graduates face have placed demands on engineering education and how graduates develop competency in collaborative problem-solving. Such demand has seen an increase in the use of pedagogies like problem-based learning (PBL) that provide opportunities for developing collaborative problem-solving skills. PBL…

There are 25 million displaced children worldwide, and those receiving schooling are often educated in overcrowded classrooms. Montessori is a child-centred educational method that provides an alternative model to traditional educational approaches. In this model, students are able to direct their own learning and develop at their own pace,…