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Epistemological Beliefs and Critical Thinking in Mathematics: Qualitative and Quantitative Studies with Pre-Service Teachers: Freiburger Empirische Forschung in der Mathematikdidaktik

Autor Benjamin Rott
en Limba Engleză Paperback – 31 aug 2021
Epistemological beliefs—i.e. beliefs on the nature of knowledge, its limits, sources, and justification—play an important role both in everyday life and in learning processes. This book comprises several studies dealing with such beliefs in the domain of mathematics; amongst others a qualitative interview study, and quantitative studies for which a new questionnaire has been developed. In this new instrument, belief position (e.g. “mathematical knowledge is certain” vs. “uncertain”) and belief argumentation (the way those positions are justified) are differentiated. Additionally, a test for mathematical critical thinking has been designed.
The results show significant correlations between sophisticated belief argumentations and high scores in the critical thinking test, but no correlations regarding belief positions.
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Specificații

ISBN-13: 9783658335380
ISBN-10: 3658335386
Pagini: 162
Ilustrații: XVI, 162 p. 21 illus.
Dimensiuni: 148 x 210 mm
Greutate: 0.24 kg
Ediția:1st ed. 2021
Editura: Springer Fachmedien Wiesbaden
Colecția Springer Spektrum
Seria Freiburger Empirische Forschung in der Mathematikdidaktik

Locul publicării:Wiesbaden, Germany

Cuprins

Introduction.- Interviews Regarding Epistemological Beliefs.- Measuring Mathematical Critical Thinking.- Critical Thinking and Epistemological Beliefs of Pre-Service Teachers.- Epistemological Beliefs and Critical Thinking in Pre-Service Teacher Education.- Inductive and Deductive Justification of Knowledge.- Summary and Outlook.

Notă biografică

Dr. Benjamin Rott is Professor of Mathematics Education at the University of Cologne. His research focuses on mathematical problem solving, beliefs, and giftedness. The present work was written as a postdoctoral thesis (Habilitation) at the University of Education Freiburg.

Textul de pe ultima copertă

Epistemological beliefs—i.e. beliefs on the nature of knowledge, its limits, sources, and justification—play an important role both in everyday life and in learning processes. This book comprises several studies dealing with such beliefs in the domain of mathematics; amongst others a qualitative interview study, and quantitative studies for which a new questionnaire has been developed. In this new instrument, belief position (e.g. “mathematical knowledge is certain” vs. “uncertain”) and belief argumentation (the way those positions are justified) are differentiated. Additionally, a test for mathematical critical thinking has been designed.
The results show significant correlations between sophisticated belief argumentations and high scores in the critical thinking test, but no correlations regarding belief positions.

Der Autor
​Dr. Benjamin Rott is Professor of Mathematics Education at the University of Cologne. His research focuses on mathematical problem solving, beliefs, and giftedness. The present work was written as a postdoctoral thesis (Habilitation) at the University of Education Freiburg.

Caracteristici

Interviews regarding epistemological beliefs Measuring mathematical critical thinking Epistemological beliefs and critical thinking in pre-service teacher education Certainty of knowledge Inductive and deductive justification of knowledge