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Rewriting the History of School Mathematics in North America 1607-1861: The Central Role of Cyphering Books - Softcover

Ellerton, Nerida; Clements, M.A. (Ken)

 
9789401780957: Rewriting the History of School Mathematics in North America 1607-1861: The Central Role of Cyphering Books
Softcover
ISBN 10: 9401780951 ISBN 13: 9789401780957
Verlag: Springer, 2014

Inhaltsangabe

The focus of this book is the fundamental influence of the cyphering tradition on mathematics education in North American colleges, schools, and apprenticeship training classes between 1607 and 1861. It is the first book on the history of North American mathematics education to be written from that perspective. The principal data source is a set of 207 handwritten cyphering books that have never previously been subjected to careful historical analysis.

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Über die Autorin bzw. den Autor

Nerida F. Ellerton was professor within the Mathematics Department at Illinois State University between 2002 and 2018. She holds two doctoral degrees-one in Physical Chemistry and the other in Mathematics Education. Between 1997 and 2002 she was Dean of Education at the University of Southern Queensland, Australia. She has taught in schools and at four universities, and has also served as consultant in numerous countries, including Australia, Bangladesh, Brunei Darussalam, China, Malaysia, the Philippines, Thailand, the United States of America, and Vietnam. She has written or edited 17 books and has had more than 150 articles published in refereed journals or edited collections. Between 1993 and 1997 she was editor of the Mathematics Education Research Journal, and between 2011 and 2016 she was Associate Educator for the Journal for Research in Mathematics Education. Since 2012 Springer has published six books which she co-authored with Ken Clements. She and Ken are joint editors of Springer's History of Mathematics Education Series. M. A. (Ken) Clements's masters and doctoral degrees were from the University of Melbourne, and at various times in his career he has taught, full-time, in primary and secondary schools, for a total of 15 years. He has taught in six universities, located in three nations, and in 2019 he retired after being professor within the Mathematics Department at Illinois State University for 15 years. He has served as a consultant and as a researcher in Australia, Brunei Darussalam, India, Malaysia, Papua New Guinea, South Africa, Thailand, the United Kingdom, the United States of America, and Vietnam. He served as co-editor of the three International Handbooks of Mathematics Education-published by Springer in 1996, 2003 and 2013-and with Nerida Ellerton, co-authored a UNESCO book on mathematics education research. He has authored or edited 36 books and over 200 refereed articles on mathematics education and is honorary life member of both the Mathematical Association of Victoria and the Mathematics Education Research Group of Australasia. He married Nerida Ellerton in 2005, and between them they have 7 children, 19 grandchildren, and 3 great-grandchildren.

Von der hinteren Coverseite

Two centuries ago, American teachers did not stand at the front of the room and teach, and most students―even those studying mathematics―did not own a mathematics textbook. Written examinations of any kind were not used. Most teachers of mathematics did not have formal qualifications in mathematics. The modern educator might well ask: “If all of that is true, then how were teachers expected to teach and how were students expected to learn mathematics?”<BR> <BR>

In this book Nerida Ellerton and Ken Clements argue that before 1840 mathematics was taught in North America via a cyphering approach that had been translated from Western Europe to the new settlements. This approach was based on a tradition that had endured since the thirteenth century, and depended heavily on students carefully writing their mathematics in cyphering books. After 1840, schools gradually adopted more teacher-centered whole-class pedagogies for mathematics instruction, and by the beginning of the Civil War, in 1861, the transformation was complete. <BR> <BR>

In his Foreword to this book, Jeremy Kilpatrick states:<BR> <BR>

“Ellerton and Clements show that the cyphering approach to learning mathematics has both an extensive history and a complex rationale. In the approach, the learner was to become an independent problem solver by learning to identify problems of various types, learning the rules for their solution, solving such problems, having each solution checked by a tutor or teacher and, only when the solution was correct, copying that solution into a cyphering book using exemplary calligraphy. The handwriting process was not meant to be only copying; it was to be an accompaniment to thinking. The learner was not simply inscribing the solution onto paper; he or she was inscribing it into memory. Cyphering books are a much neglected resource for understanding and appreciating the early history of NorthAmerican mathematics education. The present book marks a major advance in putting that resource to effective use as well as in raising some challenging questions for subsequent research.”<BR><BR>

This book provides the first history of early North American school mathematics in which the implemented curriculum―as seen in cyphering books―takes center stage, while the intended curriculum―as evident in textbooks―provides contextual background for the main argument.

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Verlag
Springer
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
9401780951
ISBN 13 
9789401780957
Einband
Taschenbuch
Anzahl der Seiten
244
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