Mathematical Sciences Education Board

Center for Science, Mathematics, and Engineering Education

National Research Council

 





Table of Contents





Title Page and Notice i

Committee iii

High School Mathematics at Work Reviewers v

Foreword: Mathematics for a Modern Age vii
Zell Miller, Governor of Georgia

Acknowledgments ix

Introduction 1

Part One:  Connecting Mathematics with Work and Life

  Overview 9

1 Mathematics as a Gateway to Student Success 14
  Dale Parnell, Oregon State University

2 Market Launch 18
  Rol Fessenden, L. L. Bean, Inc.

3 Integrating Vocational and Academic Education 24
  Thomas Bailey, Columbia University

4 The Importance of Workplace and Everyday Mathematics 30
  Jean E. Taylor, Rutgers University

5 Working with Algebra 35
  Daniel Chazan, Michigan State University
  Sandra Callis Bethell, Holt High School

  Emergency Calls 42

  Back-of-the-Envelope Estimates 45

  Scheduling Elevators 49

  Heating-Degree-Days 54

Part Two:  The Roles of Standards and Assessments

  Overview 59

6 Science and Mathematics Education: Finding Common Ground 63
  Jane Butler Kahle, Miami University

7 SCANS and Mathematics--Supporting the Transition from Schools to Careers 67
  Arnold Packer, Johns Hopkins University

8 Thinking about the SAT 70
  William Linder-Scholer, SciMath Minnesota

9 Extended Response Tasks in International Contexts 75
  John Dossey, Illinois State University

  Drug Dosage 80

  Mental Mathematics 83

  Buying on Credit 87

Part Three:  Curricular Considerations

  Overview 93

10 Fitting Tasks to Curriculum 97
  Zalman Usiskin, University of Chicago

11 Mathematics as a Way of Thinking about Things 102
  Albert A. Cuoco, Education Development Center

12 Preparing Students for Postsecondary Education 107
  Harvey B. Keynes, University of Minnesota

  Lottery Winnings 111

  Hospital Quality 115

  Rounding Off 119

  Rules of Thumb 123

Part Four:  Implications for Teaching and Teacher Education

  Overview 129

13 Pedagogical Implications for Problem-Centered Teaching 132
  Glenda T. Lappan, Michigan State University

14 The Role of Complex Mathematical Tasks in Teacher Education 137
  Gilbert J. Cuevas, University of Miami

15 Assessment Conversations as a Tool for Reform 141
  Paul G. LeMahieu, University of Delaware and Delaware Department of Education
  Marshá T. Horton, Delaware Department of Education

  Estimating Area 145

  Timing Traffic Lights 147

  Buying a Used Car 153

Part Five

  Epilogue 157

Appendixes

A Sources of Problems and Tasks 163
  Susan Forman and Lynn Arthur Steen

B Task Force Members 167

Index 171




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