Transitioning Learners to Calculus in Community Colleges (TLC3) is a research project aimed at transforming institutional approaches to matriculating underrepresented racial minority (URM) students into and through Calculus II in the nation's 1,023 public associate degree-granting institutions (community colleges). The broader goal of the TLC3…

Novel trends and innovations have enhanced contemporary educational environments. When applied properly, these computing advances can create enriched learning opportunities for students. "Mobile Technologies and Augmented Reality in Open Education" is a pivotal reference source for the latest academic research on the integration of…

Presents a modification of the tabular method for evaluating two types of integrals that requires using the integration-by-parts method twice. (ASK)

Reasons for using Rolle's Theorem in calculus are discussed, with comparisons to the theorems of Lagrange and Cauchy. (MNS)

Nonstandard Analysis gives an alternative approach to teaching elementary calculus. This paper hopes to communicate to the reader the ideas of this recent development in mathematics and its implications in teaching undergraduate students. The development of the approach is first briefly traced. Then a method of constructing on ordered field…

The behavior of certain functions in advanced calculus is discussed, with the mathematics explained. (MNS)

How current calculus textbooks consider the relationship between the tangent line and the derivative are discussed, with three theorems presented. (MNS)

The behavior of some functions near the point of origin is discussed. Each function oscillates, and as x approaches 0, the oscillations become increasingly more rapid; their behavior near the origin improves with increasing values of n. Examples for a calculus class to consider are given. (MNS)

Discards the blinders that have hampered the traditional teaching of calculus and reexamines some of the intuitive ideas that underlie this subject matter. Analyzes the various indeterminate forms that arise through the blind application of algebraic operations. (Author/ASK)

This project was designed to address gender issues in mathematics education. The author's findings led her to conclude that students construct their own understanding and knowledge as a result of activities in the classroom. Constructivism, a theory of knowledge based on the idea that people construct their own realities by interacting with the…

The development of the derivative because of being part of calculus in permanent dialectic, demands on one part an analytical, deductive study and on another an application of rochrematic methods, sources of resources, within calculus of derivative which allows to dialectically confront knowledge in its different phases and to test the results.…

This article first appeared in the American Mathematical Monthly in January 1929. In addition to some general concerns, six reasons for lethargic student attitudes are discussed. Stressed is the need to keep mathematics instruction in the hands of teachers prepared to teach mathematics. (MNS)

Gives an example of one danger of using graphing software without an accompanying mathematical analysis by illustrating what might happen if a student were capable of dealing with the drawing of the complete graph of a function only by using a technological tool. (MKR)

Explores first-year students' understanding of fundamental calculus concepts using written tests and interviews. Analysis of the written and verbal responses to the test items revealed significant misconceptions on which students' mathematical activities were based. Describes some of those misconceptions and errors relating to students'…

Provides examples to show that parallel coverage of convergence theorems for both series and improper integrals will tend to strengthen each other. Indicates that such coverage should also help students to better understand the concept of asymptote. (JN)