This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

Three mid-level mathematics teachers (grades 7 and 8) and a university mathematics educator formed a year-long professional learning community. The objective was to collectively look at how they were promoting the Standards for Mathematical Practice (SMP) (CCSSI 2010) in their classes. The monthly discussions followed an iterative cycle in which…

Future employers increasingly require work-ready graduates. Higher education institutions throughout the world have responded through reforming the curriculum of major strands of study to incorporate graduate attributes. In this case study, we explicitly taught graduate attributes, obliged students to practice their newfound capabilities, gave…

The changes that the European Higher Education Area (EHEA) framework obliged the School of Architecture of Malaga, University of Malaga. to make to its "History of Architecture" course are discussed in this paper. It was taken up as an opportunity to modify the whole course, introducing creative teaching and "imaginative…

As technologies have become an integral part of our lives, the way we read and understand text has changed drastically. In this paper, we discuss how various technologies support learners' reading and writing skills within the context of meaningful learning. Next, using elaborated cases, we argue that situating learners in problem solving…

After children have witnessed domestic violence, the lingering trauma can undermine their ability to learn and succeed in school. With the right classroom strategies, however, teachers can help students relieve stress, reengage in the curriculum, stay focused and organized, attend to tasks, and reestablish relationships.

The activity of posing and solving problems can enrich learners' mathematical experiences because it fosters a spirit of inquisitiveness, cultivates their mathematical curiosity, and deepens their views of what it means to do mathematics. To achieve these goals, a mathematical problem needs to be at the appropriate level of difficulty,…

Digital games offer an appealing environment for assessing student proficiencies, including skills and misconceptions in a diagnostic setting. This paper proposes a dynamic Bayesian network modeling approach for observations of student performance from an educational video game. A Bayesian approach to model construction, calibration, and use in…

Learning through meaningful problem solving is integral in any successful mathematics program (Carpenter et al. 1999). The National Council of Teachers of Mathematics (NCTM) promotes the use of problem solving as a means to deepen understanding of all content areas within mathematics (NCTM 2000). This article describes a first-grade lesson that…

Critical thinking is a process that can be taught. It involves "evaluating the accuracy, credibility, and worth of information and lines of reasoning. Critical thinking is reflective, logical, evidence-based, and has a purposeful quality to it--that is, the learner thinks critically in order to achieve a particular goal." The authors have found…

Students frequently have difficulty determining whether a given real-life situation is best modeled as a linear relationship or as an exponential relationship. One root of such difficulty is the lack of deep understanding of the very concept of "rate of change." The authors will provide a lesson that allows students to reveal their misconceptions…

A basic level of literacy and numeracy is essential for full participation in modern societies. While very few people in most of the advanced countries could be regarded as illiterate or innumerate, recent studies have shown that there are, in fact, significant numbers of people with poor skills, and that low levels of skills are associated with…

After waiting over nine months for the results of his PhD thesis the author was motivated to conduct some qualitative research on the reasons why the system of examiners' reports is so slow and goes on to explain how this problem could be improved by the recruitment of retired academics.

In the teaching of physics at upper secondary school level (K10-K12), the students are generally taught to solve problems analytically, i.e. using the dynamics describing a system (typically in the form of differential equations) to compute its evolution in time, e.g. the motion of a body along a straight line or in a plane. This reduces the scope…

We study the greenhouse effect on a model satellite consisting of a tungsten sphere surrounded by a thin spherical, concentric glass shell, with a small gap between the sphere and the shell. The system sits in vacuum and is heated by sunlight incident along the "z"-axis. This development is a generalization of the simple treatment of the…