Benjamin Rott 
Epistemological Beliefs and Critical Thinking in Mathematics [PDF ebook] 
Qualitative and Quantitative Studies with Pre-Service Teachers

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.

قائمة المحتويات

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.

عن المؤلف

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.