Examines the use of a ratio table for developing students' conceptual understanding of rational number. The ratio table is an alternative to cross-multiplication and can utilize both additive and multiplicative strategies. It organizes numbers and keeps track of operations and results, which aids the teacher in assessment. (MLB)

Assessed the achievement in addition, subtraction, multiplication, and division of 93 fourth graders before and after they received either computer or traditional classroom drill-and-practice instruction. Students who received computer instruction showed greater increases in achievement scores in subtraction and multiplication than did students…

Described is a study that used LOGO to improve the proportional reasoning ability of students enrolled in mathematics classes for students poorly prepared for college-level mathematics. Included are the methodology, procedures for using logo, and a discussion of the results. (KR)

This study investigated effects of multiple-component behavioral self-management (BSM) interventions on math fluency and engaged time of five fourth-grade students with and without disabilities in general education classrooms. Students increased their math fluency and engaged time, and these continued to improve when the self-management…

As universities strive to produce the best mathematics teachers possible through both graduate and undergraduate programs, teacher educators must constantly work towards helping teacher candidates create their own conceptual understanding of mathematics. This pilot study examined the effect teaching in a constructivist manner had on teacher…

Using data from the first cycle of the National Longitudinal Survey of Children and Youth, this study examines the impact of junior kindergarten on children's later skills in math, above and beyond regional differences and individual/household factors. It was hypothesized that earlier schooling would better prepare children for first formal…

The author discusses teaching early child mathematics in an environment of unique challenge in a remote region of Western Australia. The challenges include: (1) a high proportion of transient students; (2) a student population that is forty percent aboriginal, many for whom English is a second language; (3) students who consistently perform below…

Recognition of the importance of (special) children's learning of mathematics in an active fashion has increased rapidly since the beginning of the 1980s. This book presents current ideas and trends in the teaching of mathematics and aims at giving an overview of new developments in the field of (special) mathematics and showing how researchers…

A series of studies were conducted at San Jose City College (SJCC) in San Jose, California, to evaluate the persistence of three groups of new mathematics students entering Arithmetic, Algebra, and Intermediate Algebra courses in the fall of 1988. In particular, the studies examined students' persistence from the initial mathematics course,…

A series of studies were conducted at Evergreen Valley College in San Jose, California, to evaluate the persistence of three groups of new mathematics students entering Arithmetic, Algebra, and Intermediate Algebra courses in the fall of 1988. In particular, the studies examined students' persistence from the initial mathematics course,…

The Calculators in Primary Mathematics Project was a long-term investigation into the effects of the introduction of calculators on the learning and teaching of primary mathematics. The Australian project commenced with children who were in kindergarten and grade 1 in 1990, moving up through the schools to grade 4 level by 1993. Children were…

The efficacy of an early mathematics program aimed at developing number sense and built entirely on children's invented procedures and on their informally acquired quantitative knowledge was studied. To socialize children to think of themselves as reasoners about numbers, the classroom program routinely provided daily conversation about numbers…

A collection of word problems for fifth and sixth grade students are presented. The problems, which are divided into four sections and which get progressively more difficult in each section, include: (1) 38 problems on ratio and proportion; (2) 40 multistep problems (problems which require more than one calculation); (3) 40 problems on geometry…

Four sequential Basic Skill Levels (levels G, H, HA, and I) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, four to seven lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a level…

This brief report from the Indigenous Mathematics Project focuses on the way in which numerical reasoning is changing in the Oksapmin community of Papua New Guinea as a function of participation in new social institutions: economic exchange with currency and enrollment in school. Each of these new institutions means that arithmetic problems are…