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An Introductory Calculus Course for Management Majors
Title
An Introductory Calculus Course for Management Majors.
Creator
Young, Raymond Brandon, Brumbaugh, Douglas K., Burgess, Ernest E., Florida Atlantic University
Abstract/Description
The purpose of this study was the development of a one trimester calculus course to meet the special needs of management majors at Embry-Riddle Aeronautical University. A traditional calculus course was previously required of these students and the traditional course provided subjects for the control group in a pretestposttest quasi-experimental design. The experimental course that was developed was different from the traditional course that it was designed to replace in several major...
Show moreThe purpose of this study was the development of a one trimester calculus course to meet the special needs of management majors at Embry-Riddle Aeronautical University. A traditional calculus course was previously required of these students and the traditional course provided subjects for the control group in a pretestposttest quasi-experimental design. The experimental course that was developed was different from the traditional course that it was designed to replace in several major respects. The slope of a tangent line and the area under a curve as motivation for the derivative and definite integral, respectively, in the traditional course were replaced with examples that seem more relevant to management students. The concept of a limit is nearly eliminated from the experimental course. Intuitive arguments are used instead of formal proofs as are given or cited in a traditional course. The achievement of an experimental group who took the experimental course was compared with the achievement of a control group who took the traditional calculus course offered for management majors. Achievement was measured by final examination scores and course grades. When these measures of achievement were statistically adjusted for initial differences in the control and experimental groups, using prerequisite course grades, the experimental group was significantly above (p < .01) the control group.
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Date Issued
1984
PURL
http://purl.flvc.org/fau/fd/FA00000717
Subject Headings
Curriculum planning, Calculus--Study and teaching
Format
Document (PDF)
COMPUTERIZED MODEL FOR PLACEMENT AND DIAGNOSTIC TESTING IN COLLEGE REMEDIAL MATHEMATICS
Title
A COMPUTERIZED MODEL FOR PLACEMENT AND DIAGNOSTIC TESTING IN COLLEGE REMEDIAL MATHEMATICS.
Creator
HIRMANPOUR, IRAJ., Florida Atlantic University, Brumbaugh, Douglas K.
Abstract/Description
This study uses Gagne's theory of learning hierarchies to analyze the learning tasks of a college remedial mathematics course into a sequence of subordinate tasks and designs a diagnostic test for the course based upon the model. Furthermore, a computer system that implements the diagnostic system based on the task analysis model of diagnosis is developed. The topics normally covered in college remedial mathematics courses are divided into ten major areas, and each topic is divided into a set...
Show moreThis study uses Gagne's theory of learning hierarchies to analyze the learning tasks of a college remedial mathematics course into a sequence of subordinate tasks and designs a diagnostic test for the course based upon the model. Furthermore, a computer system that implements the diagnostic system based on the task analysis model of diagnosis is developed. The topics normally covered in college remedial mathematics courses are divided into ten major areas, and each topic is divided into a set of subordinate tasks. The subdivision is expressed through statements of performance objectives. A numbering which depicts the hierarchical structures of subtasks is used, and the test design conforms to this structure. Computer programs are written to allow the program user to enter the result of task analysis and the tests to be administered. The tests can be administered via a computer terminal identify the student's mathematical deficiencies. Test results and information from the task analysis can be used to produce a report of student deficiencies. It is hypothesized that such a detailed report of the student's deficiencies will enable the instructor to prescribe an individually tailored remedial course for the student. Each student's test performance is recorded, and a computer program is provided to perform item analysis and to compute test reliability coefficients for any group of students. The result of this study is a set of computer programs which implements the task analysis model of diagnosis for any subject where hierarchical relationships can be defined. This study also provides the testing instruments for separating college freshmen into remedial and non-remedial groups and for the diagnostic testing of the remedial group. It is concluded that the digital computer can be used to implement the task analysis model of diagnosis and that the software provided should be helpful to those who want to design and evaluate diagnostic tests.
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Date Issued
1980
PURL
http://purl.flvc.org/fcla/dt/11774
Subject Headings
Mathematics--Remedial teaching--Ability testing, Algebra--Study and teaching (Higher)
Format
Document (PDF)