"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

Extracts from "Experimenting with Numbers" by Margaret Stern demonstrate the use of Stern Blocks to develop the conceptual base on which learning disabled students can build further mathematical skills. (DB)

The mechanism of routine practice and problem solving that is used as a method of teaching and learning is not simply interpreted as a way in which students only mechanically imitate and memorize rules and skills. Manipulative practice is the genetic place of mathematical thinking and the foundation of concept formation. (ASK)

A set of square counters is described as a simple way to introduce new concepts and as a concrete way for students to learn. (MP)

The article suggests that Belcastro rods, which retain the basic properties of Cuisenaire rods but allow instant identification by touch, may be useful in teaching mathematical concepts to blind children. Drawings illustrate use of the rods in teaching such concepts as addition and subtraction. (Author/DB)

Reports on a study to determine the development of children's understanding of seven properties of the arithmetic mean and to assess the effects of material used in the testing and the medium of presentation. Some differences were found in children's reasoning. No significant differences were found for materials or medium of presentation. (PK)

Counting books offer children the time and the tools to develop the understanding needed to solve problems. Stimulated by these books, children may use mathematic language and talk about mathematics as they get involved with materials to move and manipulate, as they use supportive aids found in illustrations, and as they interact with materials to…

Describes a research project designed to monitor the transition from work based on concrete materials to the more formalized aspect of mathematics found in secondary schools. The topic of subtraction was chosen by three teachers who were involved in the investigation. (PK)

Described are activities using paper plates with dots drawn on them which place a heavy emphasis on matching and ordering sets, on developing mental images of sets, and on perceiving sets of a certain size as composed of smaller subsets. Also suggested are activities involving numerals. (Author/TG)

Ways are presented to help students develop precomputational fraction concepts and skills using a circular-region or "pie" model. (MK)

Discusses the role of concrete materials in teaching for understanding, including research on the use of concrete materials, seeing mathematical ideas embodied in them, and identifying what teachers want students to understand. (Contains 16 references.) (MKR)

The objective of this puzzle is to give students practice in linear measurement and obtain the skill of using a metrestick. A diagram for constructing the puzzle is included. (MP)

A series of nine activities that illustrate prime factorization and other elementary number theory ideas in concrete, representative, and symbolic form are described. (MNS)

Activities to develop counting skills are given. (MK)

Describes a lesson in which a game involving base-ten blocks is used to teach place value. Discusses four steps to promote successful lessons involving manipulative materials: (1) manipulative choice; (2) lesson preparation; (3) active student participation; and (4) process evaluation. (nine references) (MDH)