The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Calculus is a stepping stone to science, technology, engineering, and mathematics (STEM) degrees and careers, but countless college students abandon their STEM ambitions after an encounter with calculus--or to avoid taking the intimidating course altogether. While traditional approaches have focused on prerequisite courses--which often repeat high…

In this powerful collection of personal accounts, successful and respected teachers from across the country reveal how recent education policies have played out in their schools and classrooms in negative and counterproductive ways, and offer teacher-led alternatives for providing equitable, engaging, and empowering education. Framed by critical…

This article traces some of the events leading up to the call for reform, differing aspects of the suggested reform, steps taken, and possible future directions for the reform of calculus instruction. (CW)

Following a short history of calculus reform efforts, this article discusses curriculum development and research on student learning with respect to the concepts of function, limits and continuity, the derivative, and the integral; the availability and influence of new technologies on curriculum development; the consideration of the role of the…

Under the assumption that the current perplexing state of calculus instruction is a result of the presuppositions inherent within conventional teaching practices, the author examines why calculus is taught the way it is, indicates unprofitable practices that result from the way calculus is taught, and recommends possible ameliorative actions. (JJK)

Describes the development of a model for improving the calculus achievement of minority group college students currently used by 25 institutions of higher learning. Utilizes group study and an "honors class," rather than a remedial approach. (FMW)

Discusses, analyzes, and provides anecdotes about the calculus reform movement, in general, and the experimental, undergraduate calculus classes at Duke University, in particular. (JJK)

Compares the effectiveness of four different calculus instructional formats based on quantitative measures of student performance, adjusted for differences in student preparation for calculus. Student performance is shown to improve when instruction is presented in a format with faculty involvement. (nine references) (JJK)

The conference of which these are the proceedings was held in June-July 1982 at Williams College in Williamstown, Massachusetts. The purpose was to discuss the restructuring of the first two years of college mathematics to provide some balance between the traditional calculus-linear algebra sequence, and discrete mathematics. The volume contains…

This document, intended as a resource for calculus reform, contains 75 separate contributions, comprising a very diverse set of opinions about the shape of calculus for a new century. The authors agree on the forces that are reshaping calculus, but disagree on how to respond to these forces. They agree that the current course is not satisfactory,…

Reviews the findings from two international studies of mathematics achievement that have been conducted over the past 20 years. The majority of twelth-grade, college-bound American students scored among the lowest quarter of countries in the latest study. Includes tables and graphs. (MD)

Discusses the debate concerning the teaching of calculus. States that some consider calculus reform urgent because of the course's position in undergraduate studies. Considers the quality of mathematics instruction in the computer era. Cites examples of institutional experiments with new course designs. (CW)

The New Jersey Mathematics Curriculum Framework is based on the "Mathematics Standards" adopted by the New Jersey State Board of Education on May 1, 1996, and is intended to provide guidance to teachers, administrators, and districts that will help them translate a vision of exemplary mathematics education into reality. It includes…