We consider here a number of ideas for the classroom or lecture theatre associated with the mensuration of solids. In particular, the volumes of various tetrahedra are obtained in an indirect manner (by way of prisms and square-based pyramids). This activity develops problem-solving skills, spatial visualization and a from-first-principles…

Fermi problems are problems which, due to their difficulty, can be satisfactorily solved by being broken down into smaller pieces that are solved separately. In this article, we present different sequences of activities involving Fermi problems that can be carried out in Secondary School classes. The aim of these activities is to discuss…

In this article, Ajay Ramful and Siew Yin Ho explain the meaning of quantitative reasoning, describing how it is used in the to solve mathematical problems. They also describe a diagrammatic approach to represent relationships among quantities and provide examples of problems and their solutions.

There is an increasing demand from employers and universities for school leavers to be able to apply their mathematical knowledge to problem solving in varied and unfamiliar contexts. These aspects are however neglected in most examinations of mathematics and, consequentially, in classroom teaching. One barrier to the inclusion of mathematical…

Recently, the testing effect has received a great deal of attention from researchers and educators who are intrigued by its potential to enhance student learning in the classroom. However, effective incorporation of testing (as a learning tool) merits a close examination of the conditions under which testing can enhance student learning in an…

This article is part of a larger project focusing upon explanatory illustrations that children encounter in pre- and primary school education. The research questions concerned (a) how preschool children make sense of iconic symbols when placing items of refuse on illustrations of refuse bins in a sorting task and (b) what stumbling blocks they…

Encouraging engineering students to handle advanced technology with multimedia, as well as motivate them to have the skills of solving the problem, are the missions of the teacher in preparing students for a modern professional career. This research proposes a scenario of problem solving in basic electrical circuits based on an e-learning system…

Our high school optics course finishes with an assignment that students usually appreciate. They must take pictures of everyday situations representing optical phenomena such as reflection, refraction, or dispersion, and post them on Instagram. When the photos were presented to the class, one student revealed an intriguing photo, similar to Fig.…

Recently, as many as 50,000 migrant children from Central America have entered the United States without their parents. Under federal law, public schools must enroll a child who lives in the community, regardless of his or her immigration status. Ming and her twin brother Chang enrolled in my district's elementary school. Ming would not speak,…

The aim of this study was to develop a novel cognitive procedure for operationalizing how the re-encoding and constraint relaxation, suggested by representational change theory (RCT) (Ohlsson, 1992, 2011), can effect representational change in verbal insight problem solving, thus circumventing the constraints imposed by past experience. Some…

The case is presented of an 8-year-old boy who was referred for psycho-educational assessment because of difficulties with writing. The article provides an example of the way in which a case unfolds as further assessment data become available, and describes a number of challenging aspects of the assessment process. In this case, dilemmas arose…

Adults' gestures support children's learning in problem-solving tasks, but gestures may be differentially useful to children of different ages, and different features of gestures may make them more or less useful to children. The current study investigated parents' use of gestures to support their young children (1.5-6 years) in a block puzzle…

Maladaptive behavior is common in Autism Spectrum Disorder (ASD). However, the factors that give rise to maladaptive behavior in this context are not well understood. The present study examined the role of emotion experience and emotion regulation in maladaptive behavior in individuals with ASD and typically developing (TD) participants.…

Background: The Behaviour Problems Inventory-Short Form (BPI-S) is a spin-off of the BPI-01 that was empirically developed from a large BPI-01 data set. In this study, the reliability and factorial validity of the BPI-S was investigated for the first time on newly collected data from adults with intellectual disabilities. Methods: The sample…

Background: This study examines Weiner's recent cognitive emotional model which makes a distinction between judgements of control and responsibility and emphasizes the moderation of control by "mitigating" factors. Method: In response to four vignettes describing two conditions of control (high or low) and mitigating factors (present or…