Reviewed is research indicating problems in teaching and learning fractions and possible ways to improve instruction and learning. (RH)

Presented are some concerns related to the diagnostic/prescriptive approach to teaching mathematics. The author supports the view that teachers need to become aware of reasons for making professional decisions and become reflective practitioners. (RH)

Investigates children's cognitive structures with respect to concepts one-half, one-quarter, and one-third as these apply to continuous circular and triangular regions. Examines the effect of an intervention program with 21 children in grades three through six. (YP)

Differences in the meaning of the terms "learning" and "achievement" are discussed, with implications for appraisal, placement, curriculum, and instruction. Visual discrimination learning, paired associate learning, adapting to learning, and learning to learn are illustrated with references to learning disabled students. (MNS)

Investigated were differences in learning styles, as measured by the Learning Style Inventory, in fourth, fifth, and sixth grade students achieving at high, low, and average levels. Results indicated students do not learn in the same manner and manifest significant variations in how they prefer to learn. (RH)

The 5-stage model of Ross was used to examine the role of instruction in facilitating children's acquisition of place value knowledge. Compares children from 2 samples on 10 tasks designed to reveal their thinking about place value. Discusses implications for theory and classroom. (YP)

What makes a fraction meaningful and a definition of the quantitative notion of fractions are discussed. Then observations from teaching experiments are presented. (MNS)

In this study, third- and fourth-grade pupils were tested to see if they could consistently distinguish between measurement and partition division word problems and to observe their patterns of preference. Both before and after instruction, significant proportions of the students could distinguish the two division situations. (MNS)

An overview is provided of the curriculum and instructional practices in general and for handicapped learners. Diagnostic teaching and other features of good instruction are reviewed. (MNS)

The work of Ladislav Kosc on dyscalculia is presented. His work on meanings, forms, terminology, diagnosis, correction principles, factors in mathematical ability, language dysfunctions, and publications are each included. (MNS)

The purpose of this study was to assess the ability of students in grades 6 and 7 to order rational numbers in both decimal and fraction form, including the identification of their thinking strategies. Implications for instruction are included. (MNS)

The focus of this article is on the verification processes children use when assessing the equality of parts produced by them when partitioning geometric shapes. Different processes and children's verbal proofs of equality are presented. Activities for mathematics instruction are suggested. (YP)

Describes environments for concretely enacting multiplication and division. Discusses difficulties occurring when students use one of the concrete environments to model situations involving modified environments. (YP)

This research was designed to document the ability of Down's Syndrome children aged 5-10 to perform equivalence tasks, and to investigate possible relationships between such performance and the presence of certain potentially confounding task variables. (MNS)

Reports on the findings obtained from teaching initial multiplication concepts, skills, and principles to students with disabilities, low-achieving students, and students who were achieving normally in inclusive, general-education settings. Contains 52 references. (ASK)