We present a free student-facing tool for creating 3D plots and smartphone-based virtual reality (VR) visualizations for STEM courses. Visualizations are created through an in-browser interface using simple plotting commands. Then QR codes are generated, which can be interpreted with a free smartphone app, requiring only an inexpensive Google…

The Mathematical Association of America's "Precalculus to Calculus: Insights and Innovations Conference" brought together representatives of mathematics departments from across the country with members of two national research projects to share and discuss both research findings and on-the-ground concerns of faculty. In this article, we…

Interest in understanding mathematics teaching and learning phenomena, and to develop new and effective methodologies to teach Differential Calculus and Linear Algebra led me to look for ways to dialogue between APOS Theory and other mathematics education theories. This enterprise has facilitated a better understanding of them. Bridges between…

With COVID-19 continuing to make meeting face-to-face impossible, the Canadian Mathematics Education Study Group/Groupe Canadien d'Étude en Didactique des Mathématiques (CMESG/GCEDM) executive decided that, for the first time, the CMESG/GCEDM meeting would be held virtually. By necessity, the program had to be much compressed with no topic…

The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

A project on computer based dialogue for freshmen is described and evaluated. The dialogue utilizes a CAI language written in Fortran that allows a designer to easily write and edit questions at his own desk without the use of a terminal. (Author/DT)

The calculus of finite differences and finite sums is used to create a context in which the computer can be incorporated into calculus courses. Analyses of the experimental implementations are included. (MP)

Compared were the effects of two modes of instruction in the calculus: small group discovery and traditional lecture-discussion. The discovery mode was more effective in producing successful achievement in areas of manipulative skills, there were no differences in achievement as measured by a concepts test. (SD)

Investigated were the effects of spatial training on calculus achievement, spatial visualization ability, and the use of visualization in solving problems on solids of revolution. Sex differences were found favoring women in calculus achievement and men in spatial visualization ability. (MNS)

Multiple regression analysis was employed to determine the interactive effects of student motivation, prior mathematics preparation, and instructional method on achievement in a calculus course taught in lecture and Personalized System of Instruction (PSI) formats. A significant interaction between mathematics preparation and instructional method…

Nineteen Calculus II students were randomly sampled and divided into calculator (n=9) and noncalculator (n=10) groups. These students were asked to "think aloud" while solving 24 Advanced Placement calculus problems. Each student interview was videotaped, coded and analyzed for reasoning process as well as outcome. The results indicated…

The effectiveness of a distributive model and the conventional method for assigning homework in a first-semester course in calculus is examined. Results indicated a pay-off for the distributive model in terms of improved performance of the student of average or below-average mathematics ability. (MP)

A logically and empirically valid structure of knowledge for differential calculus was made by textbook analysis and by collecting data from a first semester college calculus course. (MP)

Results from a large-scale study of sixth-form and college students' understanding of elementary calculus and mathematical ideas underlying calculus are presented. Difficulties with speed, tables, linear graphs, curves and differences, the tangent as the limit, and the average rate of change are each discussed. (MNS)