Surveys a group of students who enrolled in a first year university mathematics course to study the impacts of graphing calculators on the Western Australian Tertiary Entrance Examination (TEE). Considers the perceptions of students on their use of and preparation to use graphing calculators. (ASK)

Outlines the discovery of an advanced calculus class based on the generalization of the relationship between the volume of a right circular cone and the volume of a right cylinder with same height and base radius while studying solids of revolution. Relates the course of discovery and concludes with plans to use it to try to generate the same…

Presents a murder mystery in the form of six Calculus II review problems. Students must solve the six problems to determine the murderer, murder weapon, and time and location of the murder. (AIM)

Summarizes an interdisciplinary undergraduate research project involving experimental physics and calculus and illustrates how mathematics was used to finesse incomplete experimental information and maximize physical quantity known as jerk. Describes how calculus can be applied in the "real world" where functions are not always given by nice…

Illustrates how to connect mathematics to real-world problems. Describes the calculator-based laboratory system which collects data from the real world and transfers it to graphing calculators. Presents an activity that emphasizes elliptic integrals. (ASK)

Provides evidence of differences in students' ability to solve problems with and without a computer algebra system. Indicates that almost without exception, the TI-92 students were more successful at symbolically solving problems than comparison students. Observes improved performance on all three levels of problems: (1) directive computational;…

The purpose of this study is to determine differences in mathematics self-efficacy between students enrolled in a developmental mathematics course and those enrolled in a calculus course. Data from a sample of 185 freshmen students at a single 4-year institution using the Mathematics Self-Efficacy Scale are analyzed. Results indicate that calculus…

Score equity assessment (SEA) is introduced, and placed within a fair assessment context that includes differential prediction or fair selection and differential item functioning. The notion of subpopulation invariance of linking functions is central to the assessment of score equity, just as it has been for differential item functioning and…

This paper addresses the issue of collegiate mathematics achievement of underrepresented minority students as it investigates the impact of a cooperative learning calculus programme on the first-year calculus experience of non-Asian ethnic minority engineering students. The Emerging Ethnic Engineers Programme in the College of Engineering at the…

Games are promoted as examples for classroom discussion of stationary Markov chains. In a game context Markov chain terminology and results are made concrete, interesting, and entertaining. Game length for several-player games such as "Hi Ho! Cherry-O" and "Chutes and Ladders" is investigated and new, simple formulas are given. Slight…

As part of a first-year college Introductory Physics course, I have students construct an Excel[R]: spreadsheet based on the differential equation for pendulum motion (we take a pendulum having a light bar rather than a string, so it can go "over the top"). In extensive discussions with the students, I find that forcing them to make the…

A calculus-free approach is offered for determining the equation of lines tangent to conics. Four types of problems are discussed: line tangent to a conic at a given point, line tangent to a conic passing through a given point outside the conic, line of a given slope tangent to a conic, and line tangent to two conics simultaneously; in each case,…

The cross-product is a mathematical operation that is performed between two 3-dimensional vectors. The result is a vector that is orthogonal or perpendicular to both of them. Learning about this for the first time while taking Calculus-III, the class was taught that if AxB = AxC, it does not necessarily follow that B = C. This seemed baffling. The…

The tedium that characterizes many routine calculus activities necessary for average students often results in the loss of the most talented to the field of mathematics. One way to overburden teacher to nurture mathematical talent within a typical calculus class is to encourage student research. This article illustrates how student research…

An aspect of the long history of the struggle to quantify motion is briefly traced through three extended problem sets suitable for use in first year calculus courses. The sketch culminates with an application of simple mathematics to one of the most current problems in the theory of the universe. (Contains 2 figures.)