Changing core mathematics / edited by Chris Arney ; Donald Small.

Format:

Book

Contributor:

Arney, David C.

Small, Donald B.

Series:

MAA notes ; no. 61.

MAA notes ; no. 61

Language:

English

Subjects (All):

Mathematics--Study and teaching (Higher)--United States.

Mathematics.

Mathematics--Study and teaching (Higher).

United States.

Curriculum planning--United States.

Curriculum planning.

Physical Description:

xi, 181 pages : illustrations ; 28 cm.

Place of Publication:

[Washington, DC] : Mathematical Association of America, [2002]

Summary:

The authors identify issues and make recommendations for future course designs that include an emphasis on modeling, inquiry, communication, and conceptual understanding. These skills will help students become lifelong learners, generalize processes and results, draw connections between topics and disciplines, and gain an appreciation of the role of mathematics in society.

The authors also detail the interdisciplinary needs of students and provide a basis for the construction of the core mathematics curriculum for the first two years of college that is connected to the disciplines with mathematical applications. Articles written by experts from an interdisciplinary perspective provide insight into establishing partnerships and improving core programs to serve all students.

Contents:

Historical Development of Core Mathematics and Its Teaching 7

Future Considerations 15

Integrated Core Program 21

Inquiry and Modeling 25

Framework for a Two-Semester Integrated Core Program 29

Creating an Environment for Change 33

Interdisciplinary Culture Perspective 41

The Development of a More Interdisciplinary Academic Culture / Brian Winkel 43

Interdisciplinary Culture

a Result not a Goal / Gary Krahn 49

Mathematics for Use Across the Curriculum: A Tool, a Language, or What? / Robert Fuller 53

How Do We Describe an Interdisciplinary Curriculum? / Thomas R. Berger 57

Technology Perspective 65

The Machine is the Textbook / Charlie Patton 67

Technology in Education: Minefield or Cornucopia? / L. G. de Pillis 73

The Impact of Technology on Experimentation and its Implications for How and What Students Learn in Calculus / Frank Wattenberg 77

Computing, Information, and Communication Technologies: Impacts on Undergraduate Mathematics / John L. Scharf 85

Technology and Curriculum Structuring / Patrick J. Driscoll 89

Towards a Framework for Interdisciplinarity / Lee Zia 97

Pedagogically Effective Use of Technology / Joseph D. Myers 105

Technology in the First Two Years of Collegiate Mathematics / Wade Ellis, Jr. 111

Goals and Content Perspective 115

Crossing the Discipline Boundaries to Improve Mathematics Education / James Lightbourne 117

Thoughts on the Next Challenge Regarding Calculus Content / David O. Lomen 123

Millennial Calculus Courses: Goals and Content / Paul Zorn 127

First Two Years of Mathematics for Scientists and Engineers / Jeffrey E. Froyd 131

Goals and Content of a Two-Year Mathematics Curriculum / Frank Giordano 137

Instructional Techniques Perspective 141

A Continuum of Choice: Instructional Techniques in Undergraduate Mathematics / Kathleen G. Snook 143

Shifts in Undergraduate Education: Learner-Centered, Process-Oriented, Technology-Based / Elizabeth J. Teles 151

Major Issues and Future Directions of Undergraduate Mathematics: Instructional Techniques in Freshman and Sophomore Math Courses / Shirley Pomeranz 155

Building Creativity through Mathematics, Interdisciplinary Projects, and Teaching with Technology / Chris Arney 161

Appendices (Interdisciplinary Lively Application Projects

ILAPs) 169

A. Mercury in the reservoirs: Water's OK, but don't eat the fish / Donald Outing 171

B. Aircraft Flight Strategies / David Arterburn, Michael Jaye, Joseph Myers, Kip Nygren 173

C. Analyzing the Safety of a Dam / Steve Horton, Dennis Day, Andre Napoli, Brett Barraclough, Gerald Hansler, Joe Samek 179.

Notes:

Includes bibliographical references.

ISBN:

0883851725

OCLC:

50908081