This yearbook contains articles that give insight into students' thinking about factions, ratios, and proportions. Suggestions are offered on how to develop the concepts and skills associated with these topics. The book is divided into elementary, middle school, and professional development sections. Chapters include: (1) "The Development of…

The literature has noted that some mathematical analogs are more effective than others for the teaching of fractions. This study aimed to evaluate the efficacy of seven mathematical analogs commonly used in the teaching of the partitive quotient fraction construct. A sample of twelve purposively selected Year Three children were presented with…

It is widely recognized that developing a successful teaching practice, one that is grounded in the principles that guide the current effort to reform mathematics education, requires a qualitatively different and significantly richer understanding of mathematics that most teachers in the 1990s possess. However, it is not as clear how teachers'…

This book features a collection of 54 decimal number puzzles designed to provide experiences in problem solving and mathematical reasoning for middle and high school students. Each puzzle consists of a sequence of 10 clues about an unknown decimal number. The clues, when revealed one at a time, lead students through deductive reasoning to the…

Schumacher and Nash (1991) theorize that writing provides an avenue for people to reorganize their knowledge. Kieren (1988) is one of several researchers who theorize that children's school fraction experiences should begin with personal knowledge of fractions. The purpose of this study was to determine whether or not children who engaged in…

Twenty primary school students were randomly assigned by a matching procedure to either an experimental or control group. During the whole school year, both groups were taught mathematics according to the curriculum in the school; however, the groups followed different programs in fractions. Students in the experimental curriculum were provided…

Children today are very different from children of even five years ago. More and more children are recognized as having learning difficulties, and their self-esteem is more fragile than ever. Children used to TVs, VCRs, cellular phones, computers, and Gameboys demand high-interest activities rather than the "skill and drill" methods of a decade…

Specific mathematics lab activities involving fractions and measurement at the seventh grade level are described. (DT)

Worksheets on 3 x 3 magic squares are provided: one emphasizes recognition of results when a square is flipped or rotated; the other two give practice in computation with whole numbers, fractions, decimals, and integers. (DT)

The results of a study of UICSM materials for seventh and eighth grade low achievers show that students studying Stretchers and Shrinkers learned just as much arithmetic as students in traditional programs and that students studying Motion Geometry did significantly better in arithmetic application and total score on the Stanford Achievement Test…