The paper uses digital fabrication as a learning environment to demonstrate the importance of conceptual understanding of one-variable inequalities. These inequalities are hidden within two-variable inequalities used to construct geometric shapes the borders of which are the graphs of basic functions from the secondary mathematics curriculum. As…

This research focuses on the graphics calculator in calculus and its impact on students' abilities to work with graphical, numerical, and symbolic representations. Three courses are compared, two of which are taught with less emphasis on the use of graphing calculators. The format of the course emphasizing calculator use is more traditional than…

Extends O'Callaghan's computer-intensive algebra study by using his component competencies and the process-object framework to investigate the effects of a graphing-approach curriculum employing the TI-82 graphing calculator. Concludes that students in the graphing-approach classes demonstrated significantly better understanding of functions on…

This book presents activities promoting children's understanding of mathematical ideas while at the same time providing the practice children need to refine their skills in mathematics. Chapter topics include: (1) numbers; (2) number facts and operations; (3) problem solving; (4) calculators; (5) fractions; (6) graphing; (7) geometry; and (8)…

This paper presents learning tasks of a new type that are made possible by dynamic geometry software and discusses reasons why it takes time for teachers to design and use such tasks. The paper is divided into four sections: (1) The Spatial and the Theoretical; (2) Tasks in Dynamic Geometry Software Fostering the Learning of Geometry; (3) The…

This paper addresses the demands for change in the teaching and learning of mathematics in the schools of America. Many of the demands stem from the way rapid changes in information technology have altered our economic and social culture. In particular, these technological changes have changed both mathematics and its applications. Given these…

Widespread concern over the use of calculators by young children prompted a broad year-long study of the impact of calculators on elementary school mathematics learning. Two teachers from each of grades 2-6 from five midwestern states participated in the study, which was designed to approximate a "first use" level of calculators in schools. Pupils…

Abstracts and/or complete papers presented at this conference are provided in seven sections. Section 1 includes papers focusing on microcomputers and education. Section 2 includes a research review on spatial ability and its relation to mathematics education and two studies, focusing on spatial ability tasks for mathematics teachers/students and…

This volume is organized into six parts. Chapters 1-5, which make up Part 1, first discuss the forces impinging on algebra in the curriculum and suggest possible directions for change. Chapters 6-8, Part 2, concentrate on concepts and teaching possibilities available prior to the formal introduction of algebra. The notion that algebraic ideas are…

This annotated bibliography lists research synthesis in elementary school mathematics. The listings are in alphabetical order, but are also indexed according to topics. Among the 17 topics included are: calculators, problem solving, sex differences, and diagnosis and remediation. (MK)