Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.

Personalization is crucial for achieving smart learning environments in different lifelong learning contexts. There is a need to shift from one-size-fits-all systems to personalized learning environments that give control to the learners. Recently, learning analytics (LA) is opening up new opportunities for promoting personalization by providing…

Disciplines such as Biochemistry and Molecular Biology, which involve concepts not included in the high-school curriculum, are very challenging for many first year university students. These subjects are particularly difficult for students accustomed to surface learning strategies involving memorization and recall of facts, as a deeper…

One can easily find a link between the general principles of learning in relation to both nonhuman and human animals. What may be a more difficult but equally important parallel is how these learning principles are applied to the training of animals and the teaching of honors students. The author considers what teachers can learn from observing…

The ability to self-regulate is important for students at any level, but is especially valuable to those in college, as they are confronted with a great deal of material in a short span of time. Some studies demonstrate that college students are effective self-regulators, while other studies indicate they are not (Peverly, Brobst, Graham, & Shaw,…

In mathematics education, there has been tension between deep learning and repetitive learning. Western educators often emphasize the need for students to construct a conceptual understanding of mathematical symbols and rules before they practise the rules (Li, 2006). On the other hand, Chinese learners tend to be oriented towards rote learning…

Autism is a neural development disorder which impairs one's ability to socialise, communicate, process sensory information, and those with autism experience restricted interests and repetitive behaviours. These signs all begin before three years of age and the child may have difficulty with organising their responses, with inhibition of repetitive…

The view of the learner has changed from that of a passive recipient of knowledge to that of an active constructor of knowledge. One way in which constructivism can manifest itself is by implementing active learning strategies where "knowledge [is] directly experienced, constructed, acted upon, tested, or revised by the learner." (Thompson &…

Encouraging students with learning challenges to actively participate in the learning process can be difficult, especially when they are tentative about their knowledge level as compared to their peers. This article outlines three steps teachers can take to incorporate cooperative learning strategies that ensure active participation by all…

Almost all academic skills deficits can be conceptualized as learning rate problems as students are not failing to learn, but not learning rapidly enough. Thus, when selecting among various possible remedial procedures, educators need an evidence base that indicates which procedure results in the greatest increases in learning rates. Previous…

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…

Designing investigative skills sessions for key stage 5 students based on field research in the Ghanaian savannah prompted reflection on the similarities and differences in the ways farmers and students learned about and applied scientific methodology. Circumstantial constraints mean that farmers' experiments were less controlled than those…

Using behavioral, structural, and functional imaging techniques, we demonstrate contrasting effects of vocabulary knowledge on temporal and parietal brain structure in 47 healthy volunteers who ranged in age from 7 to 73 years. In the left posterior supramarginal gyrus, vocabulary knowledge was positively correlated with gray matter density in…

"PISA 2009 at a Glance" is a companion publication to "PISA 2009 Results", the six-volume report on the 2009 survey conducted by the OECD's Programme for International Student Assessment (PISA). PISA assesses the extent to which students near the end of compulsory education have acquired some of the knowledge and skills that…

Today's students will require knowledge and skills that differ from those typically provided by schools. Comparisons of learning and assessments in informal, everyday settings (e.g., homes, businesses) with those that occur in typical school settings provide ample evidence that new assessment strategies are needed. Those comparisons reveal many…