It is viewed understandable that many teachers consider fractions one of the most difficult mathematical topics to teach. School experiences need careful planning to include sequential activities which develop accurate concepts, and concepts are thought best developed by activities which move along the concrete-to-abstract continuum. (MP)

Use of a microcomputer spreadsheet program to help students understand long division is described. An example of a problem with powers of 10 used with seventh graders is presented, with note of another lesson on decimals for grade 6. (MNS)

Presented is a conversation with students that gives an insight into the ways students think about decimals. Students were introduced, with the use of a calculator, to decimal notation and systematic experimentation. What students had learned throughout this conversation is discussed. (KR)

By bringing some of the excitement of the stock market to the classroom, teachers can encourage students to learn about the financial world, read the newspaper, work cooperatively, and practice working with money and fractions. The article explains how to get students started and offers some advanced strategies. (SM)

The 1989 publication, "Curriculum and Evaluation Standards for School Mathematics" provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected that the Addenda Series…

Considering teachers' thinking about a specific mathematical topic allows one to better understand the broader domain of teachers' mathematical thinking and its influence on teaching and learning. This paper explores the meanings and understandings communicated by one middle school mathematics teacher about mathematics and mathematics teaching in…

This yearbook focuses on the role of technology in school mathematics. Chapters are replete with classroom-tested ideas for using technology to teach new mathematical ideas and to teach familiar mathematical ideas better. Chapters included: (1) "Using the Graphing Calculator in the Classroom: Helping Students Solve the "Unsolvable" (Eric Milou,…

Four papers are presented which view research in mathematics education from different perspectives. The titles are: (1) Review of Recent Research Related to the Concepts of Fractions and of Ratio; (2) Some Trends in Research and the Acquisition and Use of Space and Geometry Concepts; (3) A Portrayal of Traditional Teachers of Mathematics in…

Instructional strategies that will develop the concept of a fraction are presented. Fractions as counting numbers, measures, and subdivisions are included, with a combination of regions and number lines suggested as a teaching aid. (MNS)

How graph paper has been used to illustrate the algorithm for division of fractions is presented. The combined use of graph paper and an overhead projector can make the presentation even more convincing. A review of whole number division is recommended prior to the lesson. (MP)

An experiment is described which started with exploratory interviews, evolved to design and administration of diagnostic tests, and led to the preparation and use of calculator-enriched teaching materials. (MP)

The game "Order Out", which uses manipulative and pictorial aids, is effective in teaching the ordering of common fractions. The use of manipulative or pictorial aids during instruction did not significantly affect achievement. Gender-related achievement trends were observed. (CJ)

The results of exercises related to fractions on the National Assessment of Educational Progress (NAEP) for 9- and 13-year-olds are reported. This discussion is followed by suggestions on ways to help students be more successful when adding fractions. (MP)

Manipulative materials designed to instruct pupils on fractions are presented. The use of unit holders in teaching fundamental concepts of fractions and equivalent fractions are reviewed. (MP)

A case history of a middle school's implementation of an integrated collaborative program for students with mild disabilities is presented as a framework for discussing the realities of inclusion. The authors observed a mathematics teacher during a nine-week unit on fractions. Suggested strategies from the literature on inclusion are considered in…