Describes how the cubic formula can be presented easily at the precalculus level, shows how to verify that the formula is correct, and identifies when it is profitable to use. (KHR)

This book discusses the calculus reform effort. The first essay captures the basic themes that should characterize a calculus course that is modern in its vision as well as its pedagogy and content. The next section contains essays on the vision of calculus reform: "Visions of Calculus" (Sharon Cutler Ross); "Nonalgebraic Approaches…

This manual outlines a calculus course, one of three optional courses designed to meet the needs of students in Manitoba (Canada) secondary schools who demonstrate particular aptitude in mathematics and who desire to study more topics and more advanced topics. Major emphasis is placed on applications and problem solving. The four units in the…

Describes the preparation for the implementation of a Mathematica-based calculus curriculum and the curriculum selection process at Indiana University of Pennsylvania. Contains a summary of the problems encountered and the resulting modifications. Evaluation of the curriculum implementation, some reasons for its demise, and suggested future…

Practical and engaging, this book contains 21 case studies that help students apply curriculum theory to classroom reality. Each case is authored by an in-service teacher, reflecting on ways to improve instruction by making changes to various aspects of the curriculum. These real-life examples investigate up-to-date curricular issues ranging from…

The purpose of this report is to outline the state of the art in calculus assessment and to indicate directions for explorations in assessment that will enable educators to gain a deeper understanding of student learning in order to improve student learning through calculus instruction. The purpose is accomplished in the context of two major…

A mathematical preview program in physics was developed at the Arkansas School for Mathematics and Sciences to introduce students to mathematical concepts, then use these as tools in physics while concurrently studying them in mathematics. The topics and time frame for the mathematical preview in calculus-based physics courses is presented, along…

Discussed are supercalculator capabilities and possible teaching implications. Included are six examples that use a supercalculator for topics that include volume, graphing, algebra, polynomials, matrices, and elementary calculus. A short review of the research on supercomputers in education and the impact they could have on the curriculum is…

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

This document ties the essential skills needed in mathematics to the National Council of Teachers of Mathematics' (NCTM) Curriculum and Evaluation Standards to help facilitate future curriculum development. The overall goal for the 21st century is to make mathematical power a reality for all students. The rationale for this document can be found…

This manual is an instructor's guide for the utilization of the "CCA High School Mathematics Curricula: Advanced Algebra and Calculus" courseware developed by the Computer-based Education Research Laboratory (CERL). The curriculum comprises 34 algebra lessons within 12 units and 15 calculus lessons that are computer-based and require…

In 1983, the Ohio State Board of Education responded to the public's expectations for schools by adopting minimum standards requiring competency-based education in mathematics on a 5-year cycle, of each school district's competency-based education program; and to publish an annual report on competency-based education in Ohio. This document is the…