The emergence and differentiation of partitioning as a process that leads young children to construct ideas of rational numbers was traced through clinical sessions with 43 primary children as they manipulated objects. The data analysis led to a five-level theory of the partitioning process. (MNS)

Fourteen probability activities are presented, categorized as activities with impossible and certain events, mystery bags, decks of cards, dice, spinners, and flipping. They help children develop an intuitive understanding of probability. (MNS)

A set of three worksheets is provided, along with a guide for the teacher. Using manipulative materials, students investigate the difference between the consecutive sums of the numbers along the three sides of a triangle. (MNS)

Describes how students who are learning disabled can improve their writing skills through physical movement and manipulating visuals. Describes how movement draws on kinesthetic intelligence and manipulatives draw on spatial intelligence to help students understand language structures in nonverbal ways that may be more intuitive than verbal…

Outlines benefits of and skills involved in problem solving. Details how an environment rich in materials that foster cause-and-effect or trial-and-error explorations promote cognitive development among toddlers. Offers examples of problem-solving experiences and lists materials for use in curriculum planning. Describes the teacher' role as one of…

Introduces exercises on histograms and frequency density. Guides pupils to Discovering Important Statistical Concepts Using Spreadsheets (DISCUSS), created at the University of Coventry. Includes curriculum points, teaching tips, activities, and internet address (http://www.coventry.ac.uk/discuss/). (KHR)

Discusses the use of manipulative materials by elementary teachers in preservice and inservice methods courses. Lists nine practical hints. (YP)

Microcomputers can promote productive and engaged learning time with special education students, when teachers: combine microcomputer experiences with use of manipulative materials, utilize small cooperative student groups as well as individual microcomputer time, provide direct teaching, monitor performance, and promote generalization through…

A case study of one child who had difficulty adding two- and three-digit numbers is given. Analyzing, diagnosing, and remediating the problem are each considered. (MNS)

The authors argue that mathematics curricula and teachers should set as objectives the development of logical processes, concepts, and language. The teaching materials described in this article have been used to help second, fourth, and seventh graders become skillful in the use of logic. (PK)

Presents a day of activities to encourage students to participate in mathematics. Five contests include poster; model; mathematics puzzle; mathematics problem challenge; and essay. Some student entries and the rules for each contest are described. (MKR)

Presents the use of manipulatives in the three stages of concept learning called concrete, bridging, and symbolic. Examines the three stages in developing the concept of rounding two-digit numbers. (MDH)

Presents activities which use patterns on geoboards or dot paper to develop geometry and measurement concepts. Includes reproducible student worksheets. (MKR)

The reported practices of 25 elementary school teachers related to teaching mathematics with manipulatives, and reasons offered in support of instructional methodologies, were studied. Results reveal a wide range of interpretations of the term manipulatives and much variation in practice, highlighting a gap between research theory and practice.…

Presents a lesson plan for building and investigating three- dimensional cubes and a representation of a four-dimensional cube, sometimes called a hypercube. Includes reproducible student worksheets. (MKR)