An aspect of the long history of the struggle to quantify motion is briefly traced through three extended problem sets suitable for use in first year calculus courses. The sketch culminates with an application of simple mathematics to one of the most current problems in the theory of the universe. (Contains 2 figures.)

This article synthesizes findings from previous research on instructional interventions in mathematics for students with emotional and behavioral disorders (EBD). A systematic search of the literature from 1985 through December 2005 yielded 13 studies that met the criteria for inclusion in this review. The review yielded several findings: (a)…

The reality is that approximately 5-8% of school-age students have memory or other cognitive deficits that interfere with their ability to acquire, master, and apply mathematical concepts and skills (Geary, 2004). These students with Mathematical Learning Disabilities (MLD) are at risk for failure in middle school mathematics because they…

The purpose of this study was to determine (1) strategies students use when solving composition problems and the difficulties they encounter; (2) conceptions and/or misconceptions students have with respect to composition of functions; and (3) the effect of using dynamic visualization during instruction on students' understanding of composition of…

Children who begin school with less knowledge in letter knowledge, phonological sensitivity, familiarity with rudiments of reading, and language ability are likely to have more difficulty learning to read. Additionally, parent involvement has been directly linked with reading achievement. All of the sixty-seven four- and five-year-old children…

This report makes recommendations for the development of middle-school assessment in mathematics, based on a synthesis of scientific findings in cognitive psychology and mathematics education. The focus is on background research, rather than test specifications or example tasks. Readers interested in early development and pilot efforts associated…

This article presents data from a group of secondary pre-service teachers who used vee diagrams to illustrate their conceptual and methodological analyses of a problem, as part of a required mathematics methods course assignment. The individually constructed vee diagrams were analysed in terms of the extent to which they displayed principles and…

This study aimed at investigating effects of Problem-Based Learning (PBL) on pre-service teachers' performance on conceptual and quantitative problems about concepts of gases. The subjects of this study were 78 second year undergraduates from two different classes enrolled to General Chemistry course in the Department of Primary Mathematics…

The purpose of this investigation was to gain an understanding of the challenges of teaching non-speaking learners with intellectual disabilities and the scope of augmentative and alternative communication (AAC) used in primary school settings in Gaborone, Botswana. A qualitative interview methodology was used to investigate the experiences of 11…

Refugee children are often admitted into schools having experienced traumatic events. The impact of trauma on children has been well documented and these children frequently have complex needs. The Devon Behaviour Support Team (BST) has offered Art Workshops to schools to support children with social, emotional and behavioural difficulties and…

Many teacher educators have enthusiastically embraced case-based instruction in teacher education programs. However, the research base is equivocal on whether preservice and in-service teacher educators' case-based reflections on educational issues are comprehensive and critical. This study explores the use of a metacognitive strategy--the case…

This paper is about a case study investigating into a Second Chance School in Greece as an institution for raising students' social awareness along the principles of critical pedagogy. Through the prism of symbolic interactionism, students' and teachers' negotiated perspectives formulating school and classroom culture reveal that students'…

In French-speaking countries, the word "inclusion" is sometimes used instead of the usual term "integration" to refer to the schooling of pupils with special needs in ordinary schools. This paper proposes an analysis to throw light on the reasons for the emergence of a new term and the advantages of adopting it to denote…

In this article, the authors share an episode from an after-school program and focus on eight of the twenty-four urban, sixth-grade students who volunteered to work on mathematical problem solving. When students are given a supportive environment, open-ended tasks, and thoughtful teacher questioning, their reasoning can develop naturally. By…

US and China are reforming mathematics teaching by shifting from students' attainment of facts and procedures toward development of competencies in reasoning, communication, connections, and problem solving, and application of these in real life contexts. Differences in students' overall performance, curricula, and teachers' knowledge and…