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Epistemological Beliefs and Critical Thinking in Mathematics

Qualitative and Quantitative Studies with Pre-Service Teachers

Benjamin Rott

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Springer Fachmedien Wiesbaden img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika

Beschreibung

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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Schlagwörter

Certainty of Knowledge, Belief Sophistication, Mathematical Beliefs, Critical Thinking, Teacher Education, Questionnaire Development