Many high school and college students seem to dislike mathematics, do poorly in the subject (as evidenced by declining test scores), and avoid scheduling courses in mathematics. Answers to why test scores are declining and why mathematics achievement is low among adults are speculative and as varied as the educators who offer them. However, one…

Outlines one teacher's questioning of the understanding of computational processes by her students in mathematics class. Points out the importance of teaching the context of meaning and its application in mathematics. (MD)

Secondary geometry students were tested for van Hiele level of thinking, geometry knowledge and achievement, and proof-writing achievement. Proof-writing achievement correlated significantly with van Hiele level entering geometry knowledge and geometry achievement. The predictive validity of the van Hiele model was supported. (Author/DC)

Findings are examined from studies published from 1980 to the present concerning the effects of peer tutoring on mathematics performance. Findings indicate the effectiveness of peer tutoring in promoting significant cognitive gains for both the tutor and the tutee with populations of low achievers, mildly handicapped, or socially disadvantaged…

This project was designed to produce a program evaluation and needs assessment of the 1982 Alberta Elementary School Mathematics Program in terms of cognitive level comparisons between student responses and curricular demands. Assessment procedures consisted of 14 individual interviews and 8 paper-and-pencil tests based on children's responses to…

This paper estimates the effects of freshman athletic participation on reading comprehension, mathematics, and critical thinking controlling for pre-college aptitude and other influences. A group of 3,331 students from 18 four-year and 5 two-year colleges and universities participated in initial testing during fall of their freshman year. Testing…

Math Notebook is a publication issued 10 times a year, with each issue focusing on a particular learning problem in mathematics and its diagnosis and remediation through practical, workable strategies for use by teaches, parents, and tutors. All the articles were written by Mahesh C. Sharma, with the exception of "The Japanese Soroban," by Frances…

Learning activities and questioning skills that teachers in Tasmania can use to determine a child's mathematics understanding are presented. Covered topics include division, multiplication, subtraction, addition, sorting and classification, one-to-one correspondence, patterns, ordering, and counting. Included for each topic are the aim, needed…

Reports on a study of the mathematical knowledge, strategies, and representations of 16 socially and ethnically diverse preschool children. Finds that the children bring a wide range of competencies that generally are more advanced than the curriculum content presented at that level. (CFR)

Abstracts of 11 mathematics education research studies are provided. Each abstract is accompanied by the abstractor's analysis of or comments about the study. Studies reported include: "The Importance of Spatial Visualization and Cognitive Development for Geometry Learning in Preservice Elementary Teachers"; "Classroom Ratio of High…

It is generally accepted that mathematical reasoning, like language acquisition, is part of normal cognitive development. This paper proposes that other variables must be considered when explaining the differences in the acquisition of mathematical reasoning skills in young children. Considered is some of the evidence that suggests that certain…

Procedures to overcome four major factors that cause many middle-school-aged students to lose interest in, and start having trouble with, learning mathematics are discussed. The factors are identified as consisting of more difficult mathematical content, students' orientation toward concrete learning, peer influence, and students' rapid physical…

This guide for grade 12 mathematics has been developed as part of an overall revision of the mathematics program for Manitoba, Canada schools and is designed to be used in coordination with existing guides for grades K-12. It is the framework upon which grade 12 teachers may build their mathematics programs. This guide consists of four main…

This book grew out of a conference sponsored by the Educational Testing Service and the University of Wisconsin's National Center for Research in Mathematical Science Education that focused on assessment issues in mathematics education. The book's 16 chapters focus on clarifying and articulating the goals of assessment and instruction. They are…

Reasons for poor performance in mathematics by students in the United States are discussed. According to the authors, too many students never experience arithmetic at a physical, concrete level. Students are drilled in arithmetic facts without any meaningful context and are given few opportunities to use numerical concepts in real-life…