This document includes instructional tips on: (1) Building on students' informal understanding of sharing and proportionality to develop initial fraction concepts; (2) Helping students recognize that fractions are numbers that expand the number system beyond whole numbers, and using number lines to teach this and other fraction concepts; (3)…

"Modeling Mathematical Ideas" combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students' common misconceptions in investigating and…

Students around the world have difficulties in learning about fractions. In many countries, the average student never gains a conceptual knowledge of fractions. This research guide provides suggestions for teachers and administrators looking to improve fraction instruction in their classrooms or schools. The recommendations are based on a…

Describes a program written in BASIC, called BIGNUM, that was designed to aid in handling big numbers. The program adds, subtracts, multiplies, divides, and raises to a power integers of up to 1024 decimal digits and is thought to be usable on many types of machines. (MP)

Describes five basic understandings involved in rational counting: (1) groupings of same or different items may be counted; (2) there is a stable order of the counting numbers; (3) one-to-one correspondence; (4) it does not matter which item is counted first; and (5) the cardinal principle. Discusses the importance of rational counting ability and…

"Chisanbop" is a Korean word which means finger calculation method. It is based on the Korean abacus, and its emphasis is on fives. By using Chisanbop techniques, one can add, subtract, multiply, and divide large numbers. Chisanbop can be taught most effectively to large groups in the second grade. (JN)

This book explores how primary school children with dyslexia or dyspraxia and difficulty in math can learn math and provides practical support and detailed teaching suggestions. It considers cognitive features that underlie difficulty with mathematics generally or with specific aspects of mathematics. It outlines the ways in which children usually…

This article offers specific strategies to diagnose and remediate difficulties students may have in learning multiplication facts. Analyzes strategies students use to go from a known fact to an unknown fact. The point is made that, for many students, the order of interpretation of a number fact may affect accuracy. (DB)

This document is intended as a resource for persons using, designing, or evaluating instructional materials in whole number subtraction. Its purpose is to provide conceptual machinery: (1) for describing/specifying subtraction tests and exercises and (2) for formulating related questions and conjectures. It is mainly a logical analysis subject to…

Arithmetic programming for students with mild mental disabilities requires a comprehensive perspective that includes attention to curriculum, instruction, and appraisal. Arithmetic computation should not dominate educational programming, but should be included in ways that are functionally relevant and meaningfully presented within a framework of…

This brief leaflet for parents states that "the most important thing you can do is to reinforce the mathematics lessons your child receives in school." The helping strategies are designed for use with children in grades one through three, but may also be useful for older children having difficulty in mathematics. Four types of skills children have…

This book is based on the underlying philosophy that mathematics learning at the elementary level should be active. Children should learn through meaningful hands-on activities with manipulative materials, pictures and technology. More than 400 pupil activities and suggestions for designing more activities are described. Because mathematics is to…

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 book was developed by teachers for parents to work through with their children. Learning activities are provided for each of the mathematics skills on the third-grade Basic Skills Test in Louisiana. Two pages of practice activities and games are provided for each skill, plus a test question similar to that on the Basic Skills Test. The topics…

A comprehensive list of concepts and skills for mathematics in kindergarten through grade 8 is provided. The 350 items have been logically organized and sequenced under five major topics: (1) number systems; (2) sets; (3) geometry; (4) measurement; and (5) other mathematical topics. Concepts that are related are cross-referenced by the assigned…