This paper offers an account of what early mathematics education could look like in an age of young digital natives. Each "Tubby," as the tablets are called, presents Nicole (our generic little child) with stimulating mathematics microworlds, from which, beginning at age 3, she can learn basic math concepts, as well as methods of…

Formal mathematical methods remain, for most high school students, mysterious, artificial and not a part of their regular intuitive thinking. The authors develop some themes that could lead to a radically new approach. According to this thesis, the teaching of programming languages as a regular part of academic progress can contribute effectively…

The main purpose of this paper is to present an ongoing research study on the evolution of pre-numerical and pre-inductive levels of ordinal thought in students from three to seven years old. Our methodology is based on multimedia technology, an automatic and objective record of the data and minimal interaction between students and researcher. A…

Reviews research on the appropriateness of computer use with young children. Discusses the effects computer use on children's lives, interaction, social and emotional development, learning and thinking in mathematics, and the implications for teachers. (KHR)

Investigates uses of interactive geometry software to enhance students' understanding and reasoning about two-dimensional shapes. Describes basic principles that underlie high-quality geometry instruction. Presents examples that illustrate how appropriate use of dynamic software can enhance students' geometric reasoning. (KHR)

Research advocating classroom use of the computer programming language LOGO is based on relatively long periods of instruction, plentiful provision of computers, and knowledgeable teachers. Recent research shows that LOGO may confuse children's understanding of angles. Considers implications for Scottish primary schools using LOGO as recommended…

Studies the co-emergence of teaching and children's construction of specific conceptions that support the generation of improper fractions in a constructivist teaching experiment with two fourth-grade students posing and solving tasks in a computer microworld. Reports that examination of the teacher's adaptation of learning situations (tasks) and…

This study investigates the role of basic elements of a learning context namely: the given tasks, the nature of the provided tools, and the pupils' gender in their choice of tools provided by an open problem-solving computer environment. Pupils' choice of tools is discussed through the description of an experiment involving the interaction of (30)…

Described is a study in which seventh graders used LOGO in place of receiving geometry instruction. It was hypothesized that angle recognition estimation and construction would be higher for the LOGO group. Reports that a difference was found favoring the LOGO group. Provides a short history of the LOGO language. (MVL)

This paper provides an historical perspective on the possible roles of cognitive technologies in thinking as "reorganizers" of the mind. It suggests that by understanding the transformational roles of advanced technologies for mathematical thinking, positive contributions can be made to research and practice on the use of computers in…

Described is a year-long study of the way a group of six 12-year-old children went about solving a special class of geometric problems using a computer and a limited set of LOGO programing tools. Examines solution strategies deciding whether those strategies led to insights about mathematical relations. (Author/MVL)

Fourth grade children (n=20) were matched on a pretest and randomly assigned to either a wooden base-10 block or computerized microworld group. Instruction was designed to establish relationships between notation and meaning, extending whole number numeration to decimal numeration. Neither group changed whole-number notational methods nor had…

Discusses concerns for mathematics education research on algebra and requestions methods that focus on the Piagetian concept of cognitive obstacles. Suggests the use of computer-based environments to develop the concept of variable and offers research findings indicating that experiences working with variables in LOGO influences student…

Examines the issue of how calculators and computers can best be used in mathematics education. Contends that practicing a procedure is noncognitive and does not produce learning. Suggests utilizing customized computerized tools in schools for getting answers to algorithmic problems instantly, thus allowing teachers to explain and students to…

Presents activities employing LOGO to help create situations that enable students to make meaningful cognitive connections while exploring mathematical relationships. Activities explore the concepts of angles and rotations, progressing from off-line to on-line activities with suggested extensions. (MDH)