This paper reports on an experiment studying twelfth grade students' understanding of Rolle's Theorem. In particular, we study the influence of different concept images that students employ when solving reasoning tasks related to Rolle's Theorem. We argue that students' "container schema" and "motion schema" allow for rich…

Improving students' problem-solving abilities is a major, if not the major, goal of middle grades mathematics. To address this goal, the author, who is a university mathematics educator, and nine inner-city middle school teachers developed a math/science action research project. This article describes their unique approach to mathematical problem…

This study evaluated the effectiveness of a group mentoring program that included components of empirically supported mentoring and cognitive behavioral techniques for children served at a community mental health center. Eighty-six 8- to 12-year-old children were randomly assigned to either group mentoring or a wait-list control group. Group…

This article illustrates how community service-learning can be defined and implemented as a group inquiry project in which students apply academic knowledge and social problem-solving skills. The authors examined eleven different community service-learning projects put into practice by elementary and middle school teachers who participated in…

Using two experiments, the authors examined the extent to which the scientific thinking circle can be used as heuristics to support scientific thinking in a classroom of children between the ages of 3 and 9 years old. To do this, the authors asked the children to build a bridge, raft, or electrical circuit using the material available to them.…

Response to Intervention (RtI) has promise for helping students, particularly ones with disabilities, achieve higher levels of academic and behavioral success in the general education classroom. What does it mean for gifted students or for those who are gifted and have a learning disability, such as twice-exceptional students? How might current…

Children's understanding of the inversion concept in multiplication and division problems (i.e., that on problems of the form "d multiplied by e/e" no calculations are required) was investigated. Children in Grades 6, 7, and 8 completed an inversion problem-solving task, an assessment of procedures task, and a factual knowledge task of simple…

Reorientation tasks, in which disoriented participants attempt to relocate objects using different visual cues, have previously been understood to depend on representing aspects of the global organisation of the space, for example its major axis for judgements based on geometry. Careful analysis of the visual information available for these tasks…

This article describes how to make an origami paper box and explores the algebra, geometry, and other mathematics that unfolds. A set of origami steps that transforms the paper into an open box can hold mathematical surprises for both students and teachers. An origami lesson can engage students in an open-ended exploration of the relationship…

With respect to teaching methods, there is evidence to support the effectiveness of methods that engage students in educational experiences that are focused, interactive, and provide timely corrective feedback. But there is also the recognized concern that, because of time constraints, the inclusion of skill-development methodologies might come at…

America is a nation of entrepreneurs. Whether engaged in a start-up operation, managing a family business, or as part of an entrepreneurial venture within a larger entity, American entrepreneurs have provided the vision and energy that have powered the U.S. economy for the last century. Educating entrepreneurs presents special challenges,…

This article reports on a collaboration project between South Africa and Sweden, in which we want to investigate whether the emphasis in undergraduate mathematics courses for engineering students should be more conceptual than the current traditional way of teaching. On the basis of a review of the distinction between conceptual and procedural…

The newly revised mathematics curriculum in Singapore has recently factored Applications and Modelling to be part of the teaching and learning of mathematics. Its implication is that even children should now be involved in works of mathematical modelling. However, to be able to implement modelling activities in the primary mathematics classroom,…

This article describes a psychoanalytic consultation model to an independent grade 7-12 school that offers a practical and efficient approach to improve school climate. This model may stand alone or complement other approaches, and it can be implemented in both independent and public school settings. It focuses not only on "at risk" students,…

This article brings together the fields of action learning and operations strategy. It presents a case of action learning focused on strategic operations improvement in the extended manufacturing enterprise. As the third article in the set of explorations in this journal within the fields of action learning, operations strategy and collaborative…