An investigation is given of exceptions to the rule for adding fractions. The use of such exceptions in instruction is discussed. (MP)

We compared alternative instructional strategies for integrating knowledge of decimal place value and regrouping concepts with procedures for adding and subtracting decimals. The first condition was based on recent research suggesting that conceptual and procedural knowledge develop in an iterative, hand over hand fashion. In this iterative…

This textbook is an introductory mathematics course. It is a treatise of arithmetic, containing all the practical parts thereof; both in whole numbers, vulgar fractions, and decimals; likewise the theory of numbers, and their principal properties, demonstrated in a plain and easy manner.

The article suggests that work with fractions deals with fundamental computation deficiencies and maintenance of interest of beginning secondary learning disabled students. Offered are 10 sequences and strategies for teaching fractions, remediation guidelines, as well as comments on drill sheets and daily scheduling. (Author/MC)

A seemingly paradoxical situation is explained which tells of one baseball player having a higher batting average than a second player for two seasons, yet having a lower overall average. (MP)

Presents an investigation using data collected by students to explore timelines and pie charts. The activity begins with having students keep a chronological record of their activities for one 24-hour period to create and analyze pie charts that show how they have spent their time. Activity sheet also included. (ASK)

Ben, a good mathematics student, participated in a seven-week study. Describes three tasks that reflect impact of textbooks, real-life connections, and mathematical symbols. Shows that Ben's notion of one-half was task-dependent, concrete, and based on physical actions. (NI)

Introduces addition, subtraction, multiplication, and division of fractions using area models such as rectangles and circles, or linear models such as the number line and fraction strips. (ASK)

Discusses an algorithm that converts a fraction in simplest form into a terminating decimal and allows students to explore the efficacy and conceptual bases of a mathematical algorithm. (ASK)

Demonstrates ways students think about decimals and how this changes as students get older. Presents a test teachers can use to help diagnose the mistakes students make. (MKR)

This document offers instructional materials for a 60-hour course on math operations involving decimals, fractions, proportions, statistics, probability, measurement, geometry, and linear algebra as applied in the workplace. The course was part of a workplace literacy project developed by Mercer County Community College (New Jersey) and its…