History of Mathematics
ABOUT THE COORDINATOR
Dr. Pawilen earned his Master of Arts in Education and Doctor of Philosophy in Education, major in Curriculum Studies at the University of the Philippines-Diliman. He also completed his Master of Education in Curriculum Development and his postdoctoral study on Gifted Education in Science at Ehime University in Japan. He served as an associate professor of Curriculum Studies at UP-Diliman and as a member of the Commission on Higher Education (CHED) Technical Committee for Educational Leadership and Foundations. Currently, he teaches at the College of Human Ecology (CHE) and is the director of the Office for Institutional Development in Higher Education (OIDHE), UP-Los Baños. Greg Tabios Pawilen
2024 04-ED-00082-0 978-621-04-5060-6 Bachelor in Secondary Education
COPYRIGHT: ITEM CODE: ISBN: PROGRAM:
Unit III The Development of Mathematics:
CONTENTS
A Historical Overview during the Modern Period
CONTENTS Dedication.............................................. III Acknowledgment.........................................IV Foreword ..............................................VII Preface...............................................VIII Introduction.............................................IX To the Students. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .X Salient Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XI
Lesson 7 – Non-EuclideanGeometries ..................... 69 Lesson 8 – History of Modern Algebra andNumberTheory........................... 76 Lesson 9 – Problems in the Foundations of Mathematics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .82
Unit IV The Nature of Mathematics
Lesson 10 – Origin of Mathematics . . . . . . . . . . . . . . . . . . . . . . . . .87 Lesson 11 – Understanding Mathematics . . . . . . . . . . . . . . . . . . . .97
The Development of Mathematics: Ancient Period
Unit I
Lesson 1 – Prehistoric Times, Egyptian Mathematics,
Unit V Issues and Aspects
and Babylonian Mathematics. . . . . . . . . . . . . . . . . . . . . 1
Lesson 2 – Mathematics of Ancient Greece . . . . . . . . . . . . . . . . . . .15 Lesson 3 – Islamic, Hindu, and Chinese Mathematics. . . . . . . . . . .27
Lesson 12 – Foundations and Formalism
of Mathematics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .107
Lesson 13 – Technology in Mathematics . . . . . . . . . . . . . . . . . . . . 111
The Development of Mathematics: A Historical Overview during the Medieval Period
Unit II
Unit VI Mathematics in the Philippine Context
Lesson 14 – Mathematics Education and Curriculum. . . . . . . . . . .115
Lesson 4 – Medieval Period and the Renaissance. . . . . . . . . . . . . .41 Lesson 5 – Birth of the Calculus. . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Lesson 6 – Euler, Fermat, and Descartes . . . . . . . . . . . . . . . . . . . .59
References............................................122 ImageAttributions.......................................125 Index.................................................131
Unit III The Development of Mathematics:
A Historical Overview during the Modern Period
Lesson 7 – Non-EuclideanGeometries ..................... 69 Lesson 8 – History of Modern Algebra andNumberTheory........................... 76 Lesson 9 – Problems in the Foundations of Mathematics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .82
VI
2025 Higher Education Learning Solutions for the Teacher Education Program 386 V
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