AN INQUIRY INTO EVOLUTION OF MATHEMATICS

AN INQUIRY INTO EVOLUTION OF MATHEMATICS
Author: RAJ SHREE DHAR
Publisher: Mohini publications
Total Pages: 97
Release: 2013-01-01
Genre: Antiques & Collectibles
ISBN:

This book is an attempt to explain the human endeavor concerning evolution and development of Mathematics through the millennia. One of the essential importance of this book is to bring out in a humble way the indispensability of Mathematics in modern life. It is essential as a matter of simple survival for us to understand and professionalize Mathematics in our day to day life. Last Chapter is about Women Mathematicians. The idea behind this is to attract more and more women for future development of Mathematics. The author invites suggestions which could be considered for the improvement of the subsequent editions of this work.

The Development of Mathematics

The Development of Mathematics
Author: E. T. Bell
Publisher: Courier Corporation
Total Pages: 657
Release: 2012-09-11
Genre: Mathematics
ISBN: 0486152286

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Evolution of Mathematical Concepts

Evolution of Mathematical Concepts
Author: Raymond L. Wilder
Publisher: Courier Corporation
Total Pages: 242
Release: 2013-01-01
Genre: Mathematics
ISBN: 0486490610

Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.

Researching the History of Mathematics Education

Researching the History of Mathematics Education
Author: Fulvia Furinghetti
Publisher: Springer
Total Pages: 323
Release: 2017-12-04
Genre: Education
ISBN: 3319682946

This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Making up Numbers: A History of Invention in Mathematics

Making up Numbers: A History of Invention in Mathematics
Author: Ekkehard Kopp
Publisher: Open Book Publishers
Total Pages: 280
Release: 2020-10-23
Genre: Mathematics
ISBN: 1800640978

Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Dive Into Inquiry

Dive Into Inquiry
Author: Trevor MacKenzie
Publisher: Edtechteam Press
Total Pages:
Release: 2016-07-20
Genre:
ISBN: 9781945167140

Want to make learning more meaningful in your classroom? Looking to better prepare your students for the world of tomorrow? Keen to help learners create authentic connections to the world around them? Dive into Inquiry beautifully marries the voice and choice of inquiry with the structure and support required to optimise learning for students and get the results educators desire. With Dive into Inquiry you'll gain an understanding of how to best support your learners as they shift from a traditional learning model into the inquiry classroom where student agency is fostered and celebrated each and every day. This book strikes a perfect balance of meaningful pedagogy, touching narrative, helpful processes, original student examples, and rich how-to lesson plans all to get you going on bringing inquiry into your classroom. After reading this book educators will feel equipped to design their own inquiry units in a scaffolded manner that promote a gradual shift of control of learning from the teacher to the learner. Exploring student passions, curiosities, and interests and having these shape essential questions, units of study, and performance tasks are all covered in this powerful book. Learn to keep track of the many inquiry topics in your classroom and have students take ownership over their learning like never before! Trevor MacKenzie provides readers with a strong understanding of the Types of Student Inquiry and proposes a framework that best prepares both educators and learners for sharing the unpacking of curriculum in the classroom as they work together towards co-constructing a strong Free Inquiry unit. Helpful illustrations for in-class use, examples of essential questions from a variety of disciplines, practical goals for making progress in adopting inquiry into your practice, and powerful student learning on display throughout, Dive into Inquiry will energize, inspire, and transform your classroom!

Inquiry Into Math, Science, and Technology for Teaching Young Children

Inquiry Into Math, Science, and Technology for Teaching Young Children
Author: Arleen Pratt Prairie
Publisher: Cengage Learning
Total Pages: 0
Release: 2005
Genre: Curriculum planning
ISBN: 9781401833596

Inquiry into Math, Science and Technology for Teaching Young Children uses current theory as foundation for the rich and varied math and science curriculum in preschool and kindergarten. The curriculum in this text easily embraces developmentally appropriate practice, emergent curriculum, Reggio Emilia and the Project Approach. Students can connect the rich math and science curriculum with the national standards in math and science plus the NAEYC Early Childhood Professional Preparation Standards. By using the ways we know children learn best, students are guided to develop their own curriculum for children while incorporating the national standards. The text guides early childhood students to inquire how children learn by capturing the innate curiosity and emerging thinking skills of young children. The writing of this text invites students to explore math and science inquiry themselves, to engage in the curiosity and innovative thinking of young children, and become immersed in their new concept of teaching through experiencing children's learning.

Mathematics and the Real World

Mathematics and the Real World
Author: Zvi Artstein
Publisher: Prometheus Books
Total Pages: 428
Release: 2014-09-02
Genre: Mathematics
ISBN: 1616145463

In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between mathematics and the real world from ancient times to the present. The author then describes some of the contemporary applications of mathematics—in probability theory, in the study of human behavior, and in combination with computers, which give mathematics unprecedented power. The author concludes with an insightful discussion of why mathematics, for most people, is so frustrating. He argues that the rigorous logical structure of math goes against the grain of our predisposed ways of thinking as shaped by evolution, presumably because the talent needed to cope with logical mathematics gave the human race as a whole no evolutionary advantage. With this in mind, he offers ways to overcome these innate impediments in the teaching of math.

Mathematics, Education and History

Mathematics, Education and History
Author: Kathleen M. Clark
Publisher: Springer
Total Pages: 389
Release: 2018-03-30
Genre: Education
ISBN: 3319739247

This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.