This study focuses on the teaching and learning of the pre-numeracy concepts through technology at Foundation Phase. It pre-supposes that the use of information and communication technology resources presents an innovative way to improve teaching and learning mathematics. The author argues that young children's relational conceptions of number lie…

This article contributes to the research literature concerning prospective elementary teachers' mathematical thinking and learning with a focus on flexibility. We present a case study of a prospective elementary teachers' development of flexibility in mental addition and subtraction during a Number and Operations course. Building upon the…

This study evaluated the generally recommended concrete-to-abstract hierarchy for presenting a new skill, with three students with learning disabilities in grades 1, 2, and 4. The three subjects enrolled in the Multidisciplinary Diagnostic and Training Program's classroom housed on the University of Florida campus in Gainesville. Following…

Uses work on children's counting schemes and a radical constructivist orientation to describe the development of computer microworlds for the teaching of rational numbers. Suggests that the design of complex software systems needs a strong theoretical background to provide direction for the design. Suggests that computer environments are the…

Uses the constructivist principle of active learning to explore the possibly essential elements in transforming a cognitive play activity into mathematical activity. Suggests that for such transformation to occur, cognitive play activity must involve operations of intelligence that, yield situations of mathematical schemes. Illustrates the…

Comments on the Fractions Project presented in this same issue. Discusses two major ideas: the construction of mathematics of children and its basis and playful actions as a basis for mathematical actions. Highlights the understanding of children's mathematical concepts and schemes as they grow and are organized in the context of computer…

Comments on the Fraction Project presented in this same issue. Examines the choice of appropriate perspectives on the phenomena induced and observed and the generalizability of the results. Investigates the phenomena as involving student attunement to constraints built into the computer-based learning environments and in terms of explicit…

Comments on the Fraction Project presented in this same issue. Suggests that it has uncovered many implications for instruction. However, there are limitations as the proposed setting is restricted by the present school circumstances. Concludes that better learning will not come from finding better ways for teachers to instruct but from giving the…

Interprets and contrasts children's mathematical interaction from the points of view of radical constructivism and of Soviet activity theory. Proposes a superseding model based on the interrelations between the basic sequence of actions and perturbation and the interaction of constructs. Supports the model by describing how children used…

Proposes a new model of children's mathematics by composing aspects of the Fraction Project and critiques presented in the same issue. Argues that computer microworlds provide children with dynamic learning environments in which they are the primary actors and teachers with a medium for interact with children's mathematics while trying to maintain…

Techniques used to teach a class of seven- and eight-year-old learning-disabled students to tell time are described. Students first practiced counting by 1s and 5s around a clock with no hands before being introduced to the differing functions of the minute and hour hands. (VW)

Case studies describe the positive responses of two elementary learning disabled students involved in an experimental number fact program. The program emphasized development of strategies matched to individual learning needs in a nontraditional approach to the organization of addition facts. (Author/CL)

Summarizes experiments indicating that a basic key to learning is the development of concepts of pattern recognition and the appropriateness of using a particular theorem. (Author/SK)

The relationship between automatization ability, as measured by the "Rapid Automatic Naming Test" (RAN), and proficiency in arithmetic basic fact computation was investigated with 120 learning disabled (LD) and 120 nondisabled children between 8 and 13 years of age. (Author/SW)

An argument is given for providing children with visual images for number concepts that they can internalize and which can aid understanding of numbers and their relations. (MP)