This article discusses how children learn to understand the decimal system in very concrete ways, while having fun using beads. When counting the beads, the children learn 5,491 is not simply "five thousand four hundred and ninety-one" but actually 5 thousands, 4 hundreds, 9 tens, and 1 unit. They begin to understand that as they get 10 units,…

This microgenetic study investigated similarities and differences in use and discovery of addition strategies in children with and without mild mental retardation across 24 sessions. Nine children with mild mental retardation in third through fifth grade classrooms and 14 children without mental retardation in kindergarten classrooms were tested…

The purpose of this study was to examine the cognitive correlates of RD-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Third graders (N = 312) were measured on language, nonverbal problem solving, concept formation, processing speed, long-term memory, working memory, phonological decoding, and sight word…

This book presents 129 problems selected from the calendar problem section of the "Mathematics Teacher" to supplement regular mathematics textbook offerings for middle grade teachers and students. The problems are categorized by six topics: (1) Numbers; (2) Computation; (3) "Oldies but Goodies"; (4) Offbeat and Unusual; (5)…

This paper focuses on the common features of Guided Discovery Architecture (GDA) online programs. It is also about developing a descriptive cost-benefit analysis of online program of GDA. It discusses how the features of GDA instruction differ from those of conventional distance education (DE) courses in terms of not only cost categories…

This publication, the sixth of seven booklets intended for adult education teachers of students with learning disabilities, reviews assessment and remediation considerations in mathematics. Observation of math disabilities is discussed in terms of social and general academic environment, calculation activities, quantitative concepts, and applied…

This is an effective drill and practice activity that does not use consumable materials. It does not teach math facts, algorithms or concepts. It provides immediate feedback to the learner and can be easily modified for use in many curriculum areas. It is self correcting because the student can identify errors without assistance and provides…

This skills pack is intended to assist numeracy tutors working with adults needing help with basic arithmetic, time telling, and money concept skills. The following materials are included: money worksheets (dealing with British currency); worksheets introducing subtraction and the various phrases used to express the difference between two numbers;…

This workbook was designed as an easy-to-read, slower-paced text for students who have learning, reading, and language problems. As one of five workbooks to aid low achievers in problem solving, it focuses on how to use calculators to perform the computation required to solve mathematical problems. Using calculators as an aid to computation can…

The purpose of this manual is to present a series of lessons on solving word problems, each focusing on a specific concept. The solving of story problems should be incorporated into the daily mathematics lesson so that children can maintain and increase their skills. The lessons are sequenced according to their complexity. Lessons one through…

This manual contains individual learning activity sheets on "Prenumbers", "Whole Numbers", and "Fractions." Each activity sheet and its accompanying instructional recommendations focus on a single concept or skill. The program presented is not intended to comprise a complete mathematics program for children who have difficulty in mathematics and…

Five invitational addresses presented at the Fourth National Conference of the Research Council for Diagnostic and Prescriptive Mathematics are included in this document. "The Nature of the Clinical Investigation" (Romberg and Uprichard) discusses the validity of clinical investigations and suggests guidelines for conducting such studies…

The effect on children's test scores of different item formats used in standardized mathematics achievement tests was investigated. In a Utah school, 40 second grade students completed a mathematics computation test using eight different formats derived from five standardized achievement tests. Identical content, taken from the most frequently…

This document reviews approximately 200 children's books in mathematics for the early grades. The 1975 and 1976 editions of "Children's Books in Print" were used to generate the book list, and all but approximately 20 of the titles listed were located for this review. Each review presented describes content and accuracy, illustrations and their…

This material describes two games, Minicomputer Tug-of-War and Minicomputer Golf. The Papy Minicomputer derives its name from George Papy, who invented and introduced it in the 1950's. The Minicomputer is seen as an abacus with the flavor of a computer in its schematic representation of numbers. Its manner of representation combines decimal…