In this set of tips, parents and caregivers will learn how to: (1) support children's understanding of fractions at home with activities on dividing objects (recommended for grades K-5); (2) support children's understanding of fractions at home with measurement activities (recommended for grades K-4); (3) support children's understanding of…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

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…

Concepts from cognitive psychology are presented as an alternative framework to arithmetic instruction for students with disabilities. The approach, which emphasizes reasoning, communication, and problem solving, is applied to addition, division, multiplication, subtraction, and word problems. The purpose of arithmetic instruction is asserted to…

A mapping procedure based on the SOLO Taxonomy developmental model was used to classify the problem-solving strategies of students (n=34) in grades K-2. Only one multiplication problem was used to isolate three components of the problem-solving procedure. (MDH)

Presents a recounting of the work of Kepler and Wiles, great minds who made a tangible impact on the field of mathematics but who had to overcome seemingly insurmountable roadblocks. (KHR)

The relationship between logic and mathematics is examined. Four basic concepts inherent in symbolic logic that are typically included in ninth- and tenth-grade mathematics programs are reviewed. Symbolic logic is advocated for all students who will study algebra and/or geometry. (MP)

Details are provided about the American High School Mathematics Examination (AHSME), the American Invitational Mathematics Examination (AIME), and the USA Mathematical Olympiad (USAMO). The AIME will first be offered in 1983 as an intermediate examination between the AHSME and the USAMO. An appendix provides several sample problems. (MP)

Trends in computer programing language design are described and children's difficulties in learning to write programs for mathematics problems are considered. Languages are compared under the headings of imperative programing, functional programing, logic programing, and pictures. (DC)

This article argues that the reason the mathematics performance of students with mild disabilities is so limited is the mathematics. Using illustrations from subtraction, the article proposes number sense be a primary goal and that within the realm of number sense, big ideas be included among the dependent variables. (Contains references.)…

Ten remedial mathematics exercises are provided for children who have failed to integrate or apply their math skills. The exercises provide remediation through systematic experimentation, rather than abstract drills, by using number-configuration distinction with blocks, fractioned candy bars, decimal match sticks, graphed pictures, etc. (JDD)

Suggests ways early years educators can begin teaching young children to think algebraically and prepare them for success in algebra. Focuses on ways to promote mathematical patterns, mathematical situations and structures, models of quantitative relationship, and change. Describes how first-graders used real object representations to better…

This review of research finds that, when IQ and reading ability are controlled, "true" math deficits of students with learning disabilities, attention deficit disorders, and attention deficit hyperactive disorders (ADHD) are specific to mathematical concepts and problem types. Slow computation affects problem solving by increasing attentional…

This book describes how parents can develop a mathematical environment for children in the home. Four major areas are emphasized: whole numbers, fractions, decimals, and basic geometry. Section 1 "'Shoebox' Activities," provides activities to teach specific concepts within a manageable time period. Materials are listed and diagrams…

This book is written for coaches of secondary school students involved in mathematics contests. Benefits, of contests and suggestions for coaching mathematics contests are described. Sample questions are presented for the following contests: (1) Open categories, written competition; (2) Identified topics written competition; (3) Eight-person team…