Presented is the theorem proposed by Volterra based on the idea that there is no function continuous at each rational point and discontinuous at each irrational point. Discussed are the two conclusions that were drawn by Volterra based on his solution to this problem. (KR)

Illustrates one seven-year-old boy's understanding of mathematical relationships through drawings of his favorite "superheroes." Also illustrates how he conveyed the qualities of his heroes by weaving together the three symbol systems of language, art, and mathematics. (BB)

Fifth-grade students (n=101) were studied to determine the effect of instruction on (1) the development of computational estimation strategies; (2) types of estimation errors made; and (3) estimation skills. Results indicate students adopt the estimation strategies taught and that introducing mathematical concepts through estimation increases…

Results of this study of 30 middle school students with learning disabilities indicated that, despite a positive attitude toward mathematics, subjects differed from average-achieving and gifted students in general mathematical achievement and problem-solving ability. Mathematical problem solving was related to ability to represent problems and…

A study examined the stability over 19 months of academic subtyping classification of 80 children (ages 9 to 13) representing four subtypes of arithmetic disabilities (AD). Approximately half of the sample retained AD regardless of identification method. Children with deficits in arithmetic, reading, and spelling disabilities exhibited the…

Describes the implementation of a comprehensive developmental-mathematics program at Onondaga Community College (New York) that provides students with assistance, from the evaluation of their entry-level skills through their transition to credit-level courses. Discusses key elements of the program, such as placement testing, diagnostic services,…

Compares two groups of preschool children to assess the effect of children's counting ability on their ability to reason about numbers. Describes the research design and the set of expected possible outcomes. Reports results in light of these predictions, concluding that counting ability is not necessary for number-relevant operations. (DSK)

Discusses key areas in science that require students to have a well-developed sense of numeracy for full understanding. Suggests that some of the difficulties students have with numeracy arise from not distinguishing between the teaching of facts and skills and teaching through conceptual understanding. Makes some recommendations for correcting…

Reviews recent long-term outcome studies concerning the psycho-educational functioning of children who were born with very low birth weight (2.20 to 3.31 pounds). Findings indicate that these children develop without problems in some, but not all, areas. The areas most consistently affected were neuro-motor and mathematics. (Author/CR)

Examines three transcripts of preschool children's informal mathematical discourse during play to highlight the role of informal learning in young children's education. Considers the children's ability to adopt instructor, mediator and evaluator communication roles, to gain access to formal mathematics knowledge, and to use these to meet…

Suggests that teachers can share information with parents about multiple intelligences and encourage parents to provide activities to nurture their child's own intelligences. Provides teachers with instructional strategies and parents with activities related to linguistic, logical-mathematical, spatial, musical, bodily-kinesthetic, interpersonal,…

Examines language competence and reading comprehension of 7-year olds, focusing on the aims and content of Polish-language teaching in grades I-III. Discussion includes the development of Polish students compared to international standards; language task performance; gender and background influence on competence; and the relationship between…

Third-graders showing negligible mastery of multiplication combinations were randomly assigned to two groups which practiced different subsets of combinations. Retest results were inconsistent with Siegler's (1988) proposal that item-specific computational practice is necessary to change error patterns and promote mastery. Results suggested that…

A study investigating the linguistic structure of Oneida and Lakota number systems found that base-10 numeracy is communicated more explicitly in these languages than in English. Further research is needed to determine whether teaching Oneida and Lakota students in their Native languages would help them to develop better number sense. A sample…

Describes a cooperative-learning project of the Kansas School for the Deaf and a nearby public high school. Students first participated in a workshop on visual-gestural communication and then met together daily for two weeks to design and build their 4' by 8' miniature golf "greens". Goals of communication, cooperative learning,…