In a classroom environment in which continual access to graphing calculators is assumed, items that have been used to assess students' understanding of functions often are no longer appropriate. Describes strategies for modifying such items including requiring students to explain their reasoning, using calculator-active items, analyzing graphs and…

This paper presents two mathematics activities that model functions studied using the Calculator Based Ranger (CBR) software for TI-82 and TI-83 graphing calculators. The activities concern a bouncing ball experiment and modeling a decaying exponential function. (ASK)

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 yearbook focuses on the role of technology in school mathematics. Chapters are replete with classroom-tested ideas for using technology to teach new mathematical ideas and to teach familiar mathematical ideas better. Chapters included: (1) "Using the Graphing Calculator in the Classroom: Helping Students Solve the "Unsolvable" (Eric Milou,…

The concept of function is central in mathematics and grows in importance as one progresses in depth and breadth of understanding mathematics. Results from national assessment progress reports indicate that the majority of students do not comprehend the concepts of function and graphing. Technology has the potential to improve the understanding of…

Presents an activity devised as a method of introducing periodic functions that can enable students to gain a deeper understanding of the concept of function. Employs a calculator-based laboratory, a light sensing probe, and an appropriate calculator. Calculator programs and sample data are included. (DDR)

Provides a conceptual framework that can be used by teachers to analyze student responses that incorporates learning technologies. Introduces an assessment task on exponential functions that illustrates how the rubric can be used to identify an individual's level of performance. (ASK)

Describes a step-by-step procedure that enables teachers to develop lessons that effectively use software or special calculators in the classroom. Problem-solving strategies and questions are determined that correspond to the technology through which students are able to construct their own knowledge. Illustrates the procedure using spreadsheets,…

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…

The mathematics curriculum provides a framework of instruction for exceptional child education in grades K-12. Content areas include: numeration, whole numbers, rational numbers, real/complex numbers, calculator literacy, measurement, geometry, statistics, functions/relations, computer literacy, and pre-algebra. The guide is organized by content…

The purpose of a seminar attended by mathematics educators from the United States and Japan was to explore ways that use of technology in teaching problem solving can improve student learning. The following presentations were made: (1) "A Report of U.S.-Japan Cross-cultural Research on Students' Problem-Solving Behavior," (T. Miwa and T.…

The Proceedings of PME-XVII has been published in three volumes because of the large number of papers presented at the conference. Volume I contains a brief Plenary Panel report, 4 full-scale Plenary Addresses, the brief reports of 10 Working Groups and 4 Discussion Groups, and a total of 23 Research Reports grouped under 4 themes. Volume II…

The Proceedings of PME-XVIII have been published in four separate volumes because of the large number of individual conference papers reported. Volume I contains brief reports for 11 Working Groups and 8 Discussion Groups, 55 "Short Oral Communications," 28 Posters, 5 Plenary Panel reports, and 4 Plenary Session reports. Volume II…