High School Mathematics at Work: Essays and Examples for the Education of All Students

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Traditionally, vocational mathematics and precollege mathematics have been separate in schools. But the technological world in which today's students will work and live calls for increasing connection between mathematics and its applications. Workplace-based mathematics may be good mathematics for everyone. "High School Mathematics at Work" illuminates the interplay between technical and academic mathematics. This collection of thought-provoking essays - by mathematicians, educators, and other experts - is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to strengthen high school mathematical education.This important book addresses how to make mathematical education of all students meaningful - how to meet the practical needs of students entering the work force after high school as well as the needs of students going on to postsecondary education. The short readable essays frame basic issues, provide background, and suggest alternatives to the traditional separation between technical and academic mathematics. They are accompanied by intriguing multipart problems that illustrate how deep mathematics functions in everyday settings - from analysis of ambulance response times to energy utilization, from buying a used car to 'rounding off' to simplify problems. The book addresses the role of standards in mathematics education, discussing issues such as finding common ground between science and mathematics education standards, improving the articulation from school to work, and comparing SAT results across settings.Experts discuss how to develop curricula so that students learn to solve problems they are likely to encounter in life - while also providing them with approaches to unfamiliar problems. The book also addresses how teachers can help prepare students for postsecondary education. For teacher education the book explores the changing nature of pedagogy and new approaches to teacher development. What kind of teaching will allow mathematics to be a guide rather than a gatekeeper to many career paths?Essays discuss pedagogical implication in problem-centered teaching, the role of complex mathematical tasks in teacher education, and the idea of making open-ended tasks - and the student work they elicit - central to professional discourse. "High School Mathematics at Work" presents thoughtful views from experts. It identifies rich possibilities for teaching mathematics and preparing students for the technological challenges of the future. This book will inform and inspire teachers, teacher educators, curriculum developers, and others involved in improving mathematics education and the capabilities of tomorrow's work force.

Author(s): National Research Council (U. S.) Mathematical Sciences Education Board Staff
Year: 1998

Language: English
Pages: 192

Foreword: Mathematics for a Modern Age......Page 8
Acknowledgments......Page 10
TABLE OF CONTENTS......Page 12
INTRODUCTION......Page 16
PART ONE
CONNECTING
MATHEMATICS WITH
WORK AND LIFE......Page 22
Overview......Page 24
1 Mathematics as a Gateway to Student Success......Page 29
2 Market Launch......Page 33
3 Integrating Vocational and Academic Education......Page 39
4 The Importance of Workplace and Everyday Mathematics......Page 45
5 Working with Algebra......Page 50
PART TWO
THE ROLES OF STANDARDS AND ASSESSMENTS......Page 72
Overview......Page 74
6 Science and Mathematics Education: Finding Common
Ground......Page 78
7 SCANS and Mathematics—Supporting the Transition from
Schools to Careers......Page 82
8 Thinking about the SAT......Page 85
9 Extended Response Tasks in International Contexts......Page 90
PART THREE
CURRICULAR CONSIDERATIONS......Page 106
Overview......Page 108
10 Fitting Tasks to Curriculum......Page 112
11 Mathematics as a Way of Thinking about Things......Page 117
12 Preparing Students for Postsecondary Education......Page 122
PART FOUR
IMPLICATIONS FOR TEACHING AND TEACHER EDUCATION......Page 142
Overview......Page 144
13 Pedagogical Implications for Problem-Centered......Page 147
14 The Role of Complex Mathematical Tasks in Teacher......Page 152
15 Assessment Conversations as a Tool for Reform......Page 156
PART FIVE
EPILOGUE......Page 170
APPENDIXES......Page 176
A Sources of Problems and Tasks......Page 178
B Task Force Members......Page 182
INDEX......Page 186