Project-based learning supports unique and authentic problems in differential equations courses. An intuitive, interesting and deep differential equations project is described. The description illustrates a case study of guiding students through a complex project and the technical and personal rewards gained from it. Valuable advice is provided to…

Describes how the meaning of a tool was constructed by students and their teacher, and how students used the tool to construct mathematical meaning out of particular tasks through a qualitative classroom-based study. Suggests that the nature of the mathematical tasks and the role, knowledge, and beliefs of the teacher influenced the emergence of…

Describes students' written answers that seemed technology-assisted in the 1999 Calculus Tertiary Entrance Examination (TEE). Illustrates how in the 1999 Calculus TEE some students used their calculators in flexible ways. (ASK)

Describes an inquiry into students' uses of graphics calculators in the Tertiary Entrance Examination of Calculus in Western Australia for 1998. Discusses a comparative analysis of boys' and girls' performances. Indicates that the main areas of difficulty for students are interpreting graphing calculator outputs and knowing when use of graphing…

Describes the Treisman model which involves supplemental workshops in which college students solve problems in collaborative learning groups. Reports on the effectiveness of Math Excel, an implementation of the Treisman model for introductory mathematics courses at Oregon State University over five academic terms. Reveals a significant effect on…

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)

Project Outreach, operated by the Louisiana School for Math, Science, and the Arts, uses computer telecommunications to offer advanced content courses in math, foreign language, science, and the arts to gifted students in rural areas. Evaluation has shown favorable responses from participants and significant gains on a national calculus exam. (DB)

Gives a general description of reformed calculus efforts and describes experiences with two reformed calculus programs together with traditional calculus. Also provides comparisons between these three programs using teaching evaluations and student journals. (Author/MKR)

Reports on the use of technology to enhance the teaching of ordinary differential equations, gives examples of laboratory activities using cooperative learning, and discusses assessment of student learning. MacMath, TI-81 graphing calculators, and Maple were used in the course. (Author/MKR)

Describes the CALM (Computer Aided Learning in Mathematics) Project developed at the Heriot-Watt University (Scotland) for teaching calculus; reports on the next phase of CALM following further funding from British industry; and discusses future possibilities through the work of the United Kingdom Mathematics Courseware Consortium. (Contains eight…

This project developed a lesson authoring system, a component which provided communications between students and teachers using electronic mail, and calculus lessons which were formatively evaluated with 20 students at four high schools. The authoring system utilized word processors to write the lessons and a BASIC computer program to execute the…