The traditional technique for converting repeating decimals to common fractions can be found in nearly every algebra textbook that has been published, as well as in many precalculus texts. However, students generally encounter repeating decimal numerals earlier than high school when they study rational numbers in prealgebra classes. Therefore, how…

Describes the construction and use of the "fraction computer," a simple manipulative that helps pupils understand how to add and subtract unlike, unrelated fractions. (YDS)

Demonstrates how an investigation of measurement and representative numbers can engage all levels of student ability. Asks students to learn about representative numbers in order to answer a question they find intriguing. (YDS)

Describes a year-long, career-based project to practice basic skills in a meaningful context until such skills are transferred to long-term memory. (YDS)

Describes a project that allows students to derive fractions with varying denominators, estimate that fractional representation in a pie chart as a piece of the whole, and add their various fractions to find the sum equal to one whole. Includes samples of student work. (DDR)

Discusses ways teachers can encourage students to construct useful meanings for the fractional unit. Provides three examples of representations of common fractions and illustrates misconceptions in fraction problems. Includes a brief summary of constructivist mathematics education and an example in which a teacher misunderstands a fractional unit.…

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)