Epistemological Beliefs and Critical Thinking in Mathematics: Qualitative and Quantitative Studies with Pre-Service Teachers

Epistemological beliefs are crucial in both everyday life and learning processes, and this book explores such beliefs in the domain of mathematics. It includes qualitative and quantitative studies, a new questionnaire, and a test for mathematical critical thinking. The results show that sophisticated belief argumentations are correlated with high scores in the critical thinking test, but not belief positions.

Format: Paperback / softback
Length: 162 pages
Publication date: 31 August 2021
Publisher: Springer Fachmedien Wiesbaden

Epistemological beliefs, which encompass notions about the nature of knowledge, its boundaries, sources, and justification, hold significant importance in both everyday life and educational endeavors. This comprehensive book comprises a collection of studies that delve into these beliefs specifically within the realm of mathematics. Among these studies, there is a qualitative interview study, as well as quantitative investigations utilizing a newly designed questionnaire. This questionnaire distinguishes between belief positions (such as "mathematical knowledge is certain" or "uncertain") and belief argumentation, which outlines the justifications behind these positions. Furthermore, a test for mathematical critical thinking has been developed to assess individuals' critical thinking abilities.

The findings from these studies reveal intriguing correlations. Specifically, it is found that individuals who employ sophisticated belief argumentations tend to achieve high scores on the critical thinking test. This suggests that the ability to construct and defend logical arguments plays a crucial role in developing critical thinking skills. However, it is noteworthy that there are no significant correlations found between belief positions and critical thinking test scores.

In conclusion, epistemological beliefs, particularly in mathematics, have a profound impact on individuals' understanding and reasoning. The studies presented in this book shed light on the relationship between belief argumentation, critical thinking, and mathematical knowledge. By exploring these aspects, educators and researchers can enhance the development of critical thinking abilities in students and promote a deeper understanding of epistemological principles.

Weight: 243g
Dimension: 210 x 148 (mm)
ISBN-13: 9783658335380
Edition number: 1st ed. 2021