In the context of a large-scale randomized controlled trial, our team investigated "front line" teaching issues as schools implemented a fully digital, blended learning curriculum in mathematics. This paper focuses on observations of instruction within schools that were assigned to use the new digital resources. Compared to a…

The goal of the DataSpace project is to develop a computer learning environment for data analysis and statistics and associated materials for high school mathematics. DataSpace software will provide a concrete metaphor for data, along with interactive visual explanations of statistical concepts. Users will be able to change data smoothly and…

The question of the advisability of incorporating discrete mathematics into the mathematics curriculum is addressed by examining the different types of courses typically offered in the first two years of college and the appropriateness of including discrete mathematics topics in these courses. The introductory section explains how the advent of…

This paper considers the possibilities of using computers not only to amplify, but to reorganize children's thinking and mental functioning. These two different conceptualizations of the transformational role of noncomputer cognitive technologies (such as written language) in human intelligence and cognitive change are sketched, and the different…

Presented is a report on a Research and Development program in the use of computer-assisted instruction to teach mathematics in grades 4 through 6. Approximately 60 computer terminals of the PLATO type were installed in elementary school classrooms, 4 terminals per classroom. Each student received one-half hour of mathematics lessons, via…

This document promotes computer symbolic mathematics and computer algebra as ideal instructional materials for mathematics, science, and engineering students. Further, computer algebra is viewed as appropriate for all students throughout the mathematics curriculum, by serving a vast area of mutual reinforcement and cross-motivation between…

This exploratory study had two goals: (1) to identify signs of abstraction and consolidation of abstractions of functional concepts in students in a situation-based curriculum; and (2) to use theoretical arguments as well as experimental evidence in order to shape notions of abstraction and consolidation of abstractions. The methodology was…

Use of a computer programming language in problem-solving activities provides an opportunity to examine how young children use a restricted set of language primitives. The generation, and execution of computer instructions was used as a verification stage in the problem-solution process. The metric is intended to provide a descriptive…

Virtual Reality (VR) is a computer generated, multi-dimensional, inclusive environment that can build axioms of algebra into the behavior of the world. This paper discusses the use of VR to represent part of the algebra curriculum in order to improve students' classroom experiences in learning algebra. Students learn to construct their knowledge…

This document asserts that mathematics is becoming essential to many more disciplines. The paper is an attempt to describe the sorts of curricular changes which many mathematics educators are now recommending. The paper discusses: (1) mathematical power; (2) mathematics instruction; (3) new research directions; (4) mathematical thinking and…

A linear regression model was used to select items from a pool of 700 arithmetic word problems to be used in a computer-assisted mathematics curriculum for elementary school students. The experimental procedure first involved a stepwise linear regression analysis of a student's performance over a set of 25 problems. The probability correct for…

Strategies and programs for improving mathematics instruction should be derived from sound educational theory. The sociocultural learning theories of Vygotsky may offer guidance in developing technology-based mathematics curriculum materials consonant with the NCTM (National Council of Teachers of Mathematics) goals and objectives. Vygotsky's…