To find the point between two massive spherical bodies at which their gravitational fields cancel is an apparently simple problem usually found in introductory physics textbooks. However, by noting that such a point does not exist when the distance between the spheres is small and one of the masses is much smaller than the other--e.g., between the…

In this paper we report the results from a major UK government-funded project, started in 2005, to review statistics and handling data within the school mathematics curriculum for students up to age 16. As a result of a survey of teachers we developed new teaching materials that explicitly use a problem-solving approach for the teaching and…

Since mathematics is found in every aspect of life, it is important for teachers to provide experiences that help students find connections and develop an appreciation for math and its use in their lives outside school. Slope is an excellent example of a math concept that is usually taught without context or connection. In this article, the…

In three experiments, 3 1/2- to 6-year-old children were presented with analogical problems in which the protagonists were either real people or fantasy characters. Children were more likely to transfer solutions from the stories about real people rather than the stories about fantasy characters. These results suggest that the use of a fantasy…

In this article we describe the process of studying the assumptions and the conclusion of a theorem. We tried to provide the students with exercises and problems where we discuss the following questions: What are the assumptions of a theorem and what are the conclusions? What is the geometrical meaning of a theorem? What happens when one or more…

Engineering has long been recognized as a key to the U.S. economy. Yet for more than 20 years, colleges of engineering have been warned that they are failing to keep their curricula and teaching methods relevant, threatening the profession and, by extension, the nation's economic prosperity. After a close-up look at 40 American engineering…

This study seeks to verify the effect of direct instruction strategy on Math achievment of students with learning difficulties in the fourth and fifth grade levels and measure the improvement in their attitudes to Mathematics. Sample consisted of sixty (60) students with Math learning difficulties attending 4th and 5th grade level resource rooms…

This study explored the development of student's conceptual understandings of limit and derivative when utilizing specifically designed computational tools. Fourteen students from a secondary Advanced Placement Calculus AB course learned and explored the limit and derivative concepts from differential calculus using visualization tools in the…

Currently, American schooling, driven by No Child Left Behind (NCLB) and standardized tests, emphasizes development of intelligence. Because of this, teachers must heavily emphasize acquisition of foundational information (facts) in lectures, assessments, and of course, time-consuming test preparation, at the expense of intellect, that…

The purpose of this article is to report on empirical work, related to a techniques module, undertaken with the dental students of the University of the Western Cape, South Africa. I will relate how a range of different active learning techniques (tutorials; question papers and mock tests) assisted students to adopt a deep approach to learning in…

Students at an all-girls high school who were enrolled in an introduction to engineering course were presented an engineering case study to determine if the case study affected their attitudes toward engineering and their abilities to solve engineering problems. A case study on power plants was implemented during a unit on electrical engineering.…

In Turkey, one of the major challenges that university education faces is the indifference of young people towards social issues. The aim of this article is to contribute to the "practice" of critical pedagogy by proposing that showing movies is an important critical teaching method with the power both to give pleasure to the students…

The study examined the knowledge of the functional relations between potential difference, magnitude of current, and resistance among seventh graders, ninth graders, 11th graders (in technical schools), and college students. It also tested the efficiency of a learning device named "functional learning" derived from cognitive psychology on the…

The instructional design and the corresponding research on student learning of two virtual laboratories that provide an engineering task situated in an industrial context are described. In this problem-based learning environment, data are generated dynamically based on each student team's distinct choices of reactor parameters and measurements.…

A participatory learning approach, combined with both a traditional and a competitive assessment, was used to motivate students and promote a deep approach to learning biochemistry. Students were challenged to research, author, and explain their own multiple-choice questions (MCQs). They were also required to answer, evaluate, and discuss MCQs…