Structural understanding in advanced mathematical thinking: Future mathematics teachers grasping a non-standard arithmetic structure - Softcover

Stehlikova, Nada

 
9783844319149: Structural understanding in advanced mathematical thinking: Future mathematics teachers grasping a non-standard arithmetic structure
Softcover
ISBN 10: 384431914X ISBN 13: 9783844319149
Verlag: LAP LAMBERT Academic Publishing, 2011

Inhaltsangabe

The book presents results of research on how students, future mathematics teachers, come to comprehend a piece of advanced mathematics, so called restricted arithmetic. In particular, it looks into the following questions: Do students use analogies from other familiar structures such as ordinary arithmetic? To what extent do students apply their knowledge from abstract algebra? How does the fact that students are working on their own piece of mathematics as opposed to being introduced to it in a transmissive way, affect their understanding? The practical goal peculiar to restricted arithmetic was to look for ways of re-learning (university mathematics) knowledge, previously acquired mechanically, with understanding. This book is aimed for professionals in mathematics education, young researchers and PhD students. We hope that they can not only learn something new about students and their learning of mathematics but also find an inspiration for their own research work.

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Reseña del editor

The book presents results of research on how students, future mathematics teachers, come to comprehend a piece of advanced mathematics, so called restricted arithmetic. In particular, it looks into the following questions: Do students use analogies from other familiar structures such as ordinary arithmetic? To what extent do students apply their knowledge from abstract algebra? How does the fact that students are working on their own piece of mathematics as opposed to being introduced to it in a transmissive way, affect their understanding? The practical goal peculiar to restricted arithmetic was to look for ways of re-learning (university mathematics) knowledge, previously acquired mechanically, with understanding. This book is aimed for professionals in mathematics education, young researchers and PhD students. We hope that they can not only learn something new about students and their learning of mathematics but also find an inspiration for their own research work.

Biografía del autor

She received her PhD in mathematics education at Charles University in Prague, Faculty of Education where she now works as an associate professor and head of the Dep. of Mathematics and Mathematical Education. She is a supervisor of PhD students, presents her research in lectures both in the Czech Republic and abroad.

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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
384431914X
ISBN 13 
9783844319149
Einband
Tapa blanda
Anzahl der Seiten
260
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar