"Big Math for Little Kids," a comprehensive program for 4- and 5-year-olds, develops and expands on the mathematics that children know and are capable of doing. The program uses activities and stories to develop ideas about number, shape, pattern, logical reasoning, measurement, operations on numbers, and space. The activities introduce the…

Basic fact acquisition is an important component for developing higher-order math skills. However, getting students with a history of academic noncompliance to engage in activities related to skills acquisition can be difficult. Prior research demonstrates that engagement increases when nonpreferred activities are preceded by a series of brief…

Eight teachers were interviewed concerning how students verify conjectures. The study is a sequel to a previous study, "How Students Verify Conjectures" [Bergqvist, T. (2000). "How students verify conjectures." "Research reports in Mathematics Education" 3]. Teachers' expectations of students' reasoning and performance are examined, and also how…

This study analyzed how one teacher used contemporary children's literature to supplement middle-grades geometry. The teacher's students were matched to students in other classes on general reading, general mathematics, and geometry. Student and teacher interviews, observation notes, and video tape recordings provided insights into fluency and…

Sex-related differential studies on mathematical abilities have hardly taken into account the mediator role of the verbal factor, which contrasts with the interest shown in the mediator role of visuospatial aptitude. We predicted that if sex-related differences were found, mental rotation would mediate mathematical abilities typically favoring…

The aim of the research presented in this paper is to contribute to our knowledge about problem solving in mathematics. My purpose in this paper is to compare, from this point of view, two very different institutions in the French tertiary education system, with the intention to interpret the chronic inequality of performance in problem solving…

Developing appropriate prevocational services for students with visual impairments and additional severe disabilities presents a challenge. A recent pilot transition program acknowledged this difficulty by deciding that "the inclusion of students, who require an extraordinary amount of individual attention to learn skills, would detract from…

Math difficulties share many common features with reading difficulties. In as much as they do so, the general approach to reading disability overlaps with math disability. Both math and learning to read share several domain-general features such as long-term and short- term memory, successive and simultaneous processing, flexibility in…

This study evaluated the validity of curriculum-based word problem-solving measures as indicators of proficiency in mathematics with a sample of 77 children in third grade. In the winter and spring of third grade, children completed a battery of general achievement tests in mathematics in addition to curriculum-based problem-solving and…

This is the second of two papers that propose an expanded and enriched view of arithmetic problem solving by stressing the need to provide learning activities that include problems of varying structures. The first paper included a framework for the enhancement of text-based problems. This second paper proposes a scheme for the development of…

This study examined the effects of looping teachers' remaining with a core group of children for multiple years in a preschool program for at-risk children. The sample consisted of 59 4-year-old children who had the same teacher for two years and 167 4-year-old children who had a different teacher for each year of preschool. Student progress on…

This paper describes insights on how to promote mathematical reasoning in problem solving based on the mathematical experiences of participants in a long-term study in which the students engaged in strands of well-defined, open-ended mathematical investigations, as a context for research on the development of particular concepts and ways of…

This investigation describes the way in which a case study participant (aged 7) represented, posed and solved problems in a technology game-based environment. The out-of-school problem-solving context placed numeracy demands on the participant that were more complex and sophisticated than the type of mathematics experiences he encountered in…

The issue of student success is a common concern in the typical community college, and no less so at Santa Fe Community College (SFCC) in New Mexico. As a result of a comprehensive program review of student success rates in mathematics, the Mathematics Departments in the Divisions of Arts and Sciences and Developmental Studies collaborated on…

Cross-sectional and incremental age effects on cognitive processes that underlie individual differences in components of working memory (WM; phonological loop, visual-spatial sketchpad, executive processing) and mathematical problem-solving accuracy were examined in elementary school children. A battery of tests was administered that assessed…