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Mathematics Tomorrow

  • Lynn Arthur Steen

Table of contents

  1. Front Matter
    Pages i-vi
  2. Introduction

    1. Lynn Arthur Steen
      Pages 1-6
  3. What Is Mathematics?

    1. Front Matter
      Pages 7-7
    2. Paul R. Halmos
      Pages 9-20
    3. Jerome Spanier
      Pages 21-27
    4. Jerry P. King
      Pages 29-37
    5. Alan Tucker
      Pages 39-48
    6. Tim Poston
      Pages 49-54
  4. Teaching and Learning Mathematics

    1. Front Matter
      Pages 71-71
    2. Peter J. Hilton
      Pages 73-82
    3. Anneli Lax, Giuliana Groat
      Pages 83-94
    4. Abe Shenitzer
      Pages 95-104
    5. Harold M. Edwards
      Pages 105-110
    6. Neal Koblitz
      Pages 111-120
    7. Walter Kaufmann-Bühler, Alice Peters, Klaus Peters
      Pages 121-126
    8. Donald J. Albers
      Pages 127-133
    9. George M. Miller
      Pages 135-138
    10. E. P. Miles Jr.
      Pages 139-152
  5. Issues of Equality

    1. Front Matter
      Pages 153-153
    2. Eileen L. Poiani
      Pages 155-163
    3. Alice T. Schafer
      Pages 165-185
  6. Mathematics for Tomorrow

    1. Front Matter
      Pages 195-195
    2. Ross L. Finney
      Pages 197-212
    3. Hartley Rogers Jr.
      Pages 231-236
    4. Tim Robertson, Robert V. Hogg
      Pages 237-242
    5. Maynard Thompson
      Pages 243-250

About this book

Introduction

Mathematics today is approaching a state of cnSIS. As the demands of science and society for mathematical literacy increase, the percentage of American college students intending to major in mathematics plummets and achievement scores of entering college students continue thelt unremit­ ting decline. As research in core mathematics reaches unprecedented heights of power and sophistication, the growth of diverse applied special­ ties threatens to fragment mathematics into distinct and frequently hostile mathematical sciences. These crises in mathematics presage difficulties for science and engineer­ ing, and alarms are beginning to sound in the scientific and even in the political communities. Citing a trend towards "virtual scientific and techno­ logical illiteracy" and a "shrinking of our national commitment to excel­ lence . . . in science, mathematics and technology," a recent study con­ ducted for the President by the U. S. National Science Foundation and Department of Education warns of serious impending shortcomings in public understanding of science. "Today people in a wide range of non­ scientific . . . professions must have a greater understanding of technology than at any time in our history. Yet our educational system does not now provide such understanding. " The study goes on to conclude that present trends pose great risk of manpower shortages in the mathematical and engineering sciences. "The pool from which our future scientific and engineering personnel can be drawn is . . . in danger of becoming smaller, even as the need for such personnel is increasing. " It is time to take a serious look at mathematics tomorrow.

Keywords

Excel Host Mathematica Mathematik applied mathematics boundary element method communities equation history of mathematics mathematics problem solving society sound story system

Editors and affiliations

  • Lynn Arthur Steen
    • 1
  1. 1.Saint Olaf CollegeNorthfieldUSA

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