Discusses procedures used throughout history to solve fractional and decimal divisor problems. Early rules and definitions, approaches in mathematics and methods books, "new math" approaches, research findings, and recent textbook procedures are included. Concludes by presenting nine recommendations for teaching the operation. (DH)

This textbook is designed for common schools, normal schools, high schools, academies, and other schools. Among the topics covered are: arithmetical language, fundamental operations, prime numbers, fractions, practical measurements, percentages, ratios, and mensuration. A section providing miscellaneous problems is also included. Appendices…

Analyzes three textbook series to find what meaningful learning experiences with fractions the books offer relative to modes of representation, pictorial models, qualitative reasoning, and students' informal knowledge of partitioning. Discusses implications for teacher use, including supplementation, teacher-support materials, alternative…

This teacher's guide and student guide are designed to accompany a general mathematics textbook that contains supplemental readings, activities, and methods adapted for secondary students who have disabilities and other students with diverse learning needs. The materials are designed to help these students succeed in regular education content…

This book is for boys and girls who know the numbers from one to thirty thoroughly, who can count to one thousand, who know something of the multiplication tables of two, three, four, five, six, ten, and twelve, and who understand the simplest facts about fractions. This book is both to be read and to be studied. It calls for oral recitation and…

The article discusses ways to make mathematics instruction with learning-disabled and other children more developmentally appropriate by building on children's informal understandings in active purposeful learning, using less direct instruction and paper-and-pencil work. Ideas are applied to the teaching of fractions. Instructional materials are…