The relationship between teaching and assessment in Ontario (Canada) was studied via analysis of classroom practices, content of assignments and tests, grading practices, and responses to a common marking task of 17 Grade 13 Calculus teachers. Research on means of student assessment procedures for Grade 13 examinations was initiated in 1986. Since…

This document contains six separate works, titled: (1) Functions and Physics; (2) Links Between Geography and Mathematics; (3) Our Inheritance: Common Ground for the Mathematics and Biology Teacher; (4) Mathematics and Chemistry: The Classroom Interface; (5) Mathematical Modeling; and (6) Mathematical Modeling with Calculus. This series of…

This volume accompanies and illustrates "Hierarchy and Universality of Discourse Constituents in New Guinea Languages: Discussion" (FL 003 513), which reports on research carried out in New Guinea and surrounding areas. This volume provides sample texts, over and beyond the fragmentary examples given in the discussion text. The examples…

Presents several ways that the microcomputer can be used as an aid in teaching various topics in calculus, including graphing functions, solving equations, finding limits and derivatives, and solving optimization problems. Emphasizes the use of computer software that tends to maximize the potential of computer graphics in mathematics instruction.…

Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)

This article illustrates that mathematical theory can be incorporated into the process to solve differential equations by a computer algebra system, muMATH. After an introduction to functions of muMATH, several short programs for enhancing the capabilities of the system are discussed. Listed are six references. (YP)

The Academic Excellence Workshop at California State Polytechnic University (Pomona) has greatly improved performance and persistence of women and Latino science, mathematics, and engineering majors taking calculus, the crucial gateway course. This suggests persistence and success are more related to college classroom experiences and expectations…

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

To build understanding of, and the ability to use, first-year science and engineering calculus, students were introduced to differential equations and asked to carry out research on differential equation modeling projects. Describes a model for the research paper; appendices provide a copy of the student handout and five examples of student…

This article deals with 12th-grade students' conceptions of a mathematical definition. Their conceptions of a definition were revealed through individual and group activities in which they were asked to consider a number of possible definitions of four mathematical concepts: two geometric and two analytic. Data consisted of written responses to…

Presented at the Advanced Placement Annual Conference (APAC) in Las Vegas, July 2007. This presentation explores the demographic and course-taking patterns that have been identified behind what students take AP exams and how to best reach the population of students that are not currently taking AP exams.

A survey of chairpersons of the Departments of Economics at 47 accredited U.S. colleges and universities collected data concerning required and recommended courses, departments in which students take the courses, satisfaction with the courses, and problems in those courses where respondents indicated dissatisfaction. Results indicated that: (1)…

This study was designed to determine students' abilities and difficulties in articulating the relationship between function and derivative. High-school students were presented 15 problems during two 75-minute interviews in which they were asked to construct functions experimentally in three different contexts: motion, fluids, and number-change. In…

This set of five papers, written in German with abstracts in English, was collected by the Institut fuer Didaktit der Mathematik (Institute for the Teaching of Mathematics) at the University of Bielefeld in West Germany. In the first paper, Bauersfeld considers domains of subjective experiences as the best issue for an interactive theory of…

Notes some of the concerns about calculus education that were expressed at a recent conference of the National Academy of Sciences. Lists problems with unwieldy textbooks, poor teaching, large classes, and low standards. Suggests that the increasing use of computers and advanced calculators can help reform calculus instruction. (TW)