001439345 000__ 06305cam\a2200613\i\4500
001439345 001__ 1439345
001439345 003__ OCoLC
001439345 005__ 20230309004424.0
001439345 006__ m\\\\\o\\d\\\\\\\\
001439345 007__ cr\un\nnnunnun
001439345 008__ 210902s2021\\\\gw\a\\\\ob\\\\000\0\eng\d
001439345 019__ $$a1266906411
001439345 020__ $$a9783658335397$$q(electronic bk.)
001439345 020__ $$a3658335394$$q(electronic bk.)
001439345 020__ $$z9783658335380
001439345 020__ $$z3658335386
001439345 0247_ $$a10.1007/978-3-658-33539-7$$2doi
001439345 035__ $$aSP(OCoLC)1266359770
001439345 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dNOC$$dOCLCO$$dOCLCF$$dUKAHL$$dOCLCQ$$dCOM$$dOCLCO$$dN$T$$dOCLCQ
001439345 049__ $$aISEA
001439345 050_4 $$aQA8.4$$b.R68 2021
001439345 08204 $$a510.1$$223
001439345 1001_ $$aRott, Benjamin,$$eauthor.
001439345 24510 $$aEpistemological beliefs and critical thinking in mathematics :$$bqualitative and quantitative studies with pre-service teachers /$$cBenjamin Rott.
001439345 264_1 $$aWiesbaden :$$bSpringer Spektrum,$$c[2021]
001439345 264_4 $$c©2021
001439345 300__ $$a1 online resource :$$billustrations
001439345 336__ $$atext$$btxt$$2rdacontent
001439345 337__ $$acomputer$$bc$$2rdamedia
001439345 338__ $$aonline resource$$bcr$$2rdacarrier
001439345 4901_ $$aFreiburger Empirische Forschung in der Mathematikdidaktik
001439345 5050_ $$aIntro -- Foreword -- Preface -- Abstract -- Zusammenfassung -- Contents -- 1 Introduction -- 1.1 Motivation -- 1.2 Research on the Topic of Epistemological Beliefs -- 1.2.1 Epistemological Beliefs-a Clarification of Terms -- 1.2.2 History of Research on Epistemological Beliefs -- 1.2.3 Relevance of This Topic -- 1.3 The Research Project LeScEd -- 1.3.1 Overview of All Publications from Sub-Project #3 of LeScEd -- 2 Interviews Regarding Epistemological Beliefs -- 2.1 Interview Study-Certainty of Mathematical Knowledge -- 2.1.1 Introduction -- 2.1.2 The Structure of Epistemological Beliefs
001439345 5058_ $$a2.1.3 Certainty of Knowledge -- 2.1.4 Methodology -- 2.1.5 Results -- 2.1.6 Discussion and Outlook -- 2.2 "Is Mathematical Knowledge Certain?-Are You Sure?" -- 2.2.1 Introduction -- 2.2.2 The Classroom Discussion -- 2.2.3 Conclusion -- 3 Measuring Mathematical Critical Thinking -- 3.1 Mathematical Critical Thinking: Construction and Validation of a Test -- 3.1.1 Motivation -- 3.1.2 Measuring Critical Thinking -- 3.1.3 Rationale -- 3.1.4 Theoretical Background -- 3.1.5 Constructing a Test for Mathematical Critical Thinking -- 3.1.6 Validating the Test for Mathematical Critical Thinking
001439345 5058_ $$a3.1.7 Conclusion and Discussion -- 3.1.8 Additional Remarks and Future Prospects -- 3.2 Mathematical Critical Thinking: A Question of Dimensionality -- 3.2.1 Motivation and Additional Theoretical Background -- 3.2.2 Matching the CT Test to the Two Models of CT -- 3.2.3 Methodology -- 3.3 Results -- 3.3.1 Discussion -- 3.4 Mathematical Critical Thinking: Correlations with Other Constructs -- 3.4.1 Correlations Between Critical Thinking and Problem Solving -- 3.4.2 Correlations Between Critical Thinking and Mathematical Reasoning, Argumentation, and Proof
001439345 5058_ $$a3.4.3 Correlations Between Critical Thinking and Metacognition -- 3.4.4 Discussion of the Three Correlation Studies -- References -- 4 Critical Thinking and Epistemological Beliefs of Pre-service Teachers -- 4.1 Background -- 4.1.1 Structure of the Belief Dimension -- 4.1.2 Structure of the Knowledge Dimension -- 4.2 The Study -- 4.2.1 Methodology -- 4.2.2 Results -- 4.2.3 Discussion -- 4.3 Appendix: Sample Items of the Mathematical Critical Thinking Test -- References -- 5 Epistemological Beliefs and Critical Thinking in Pre-Service Teacher Education -- 5.1 Background
001439345 5058_ $$a5.1.1 Theoretical Background -- 5.2 The Study -- 5.2.1 Goals and Research Questions -- 5.2.2 Methodology -- 5.2.3 Instruments -- 5.2.4 Results -- 5.2.5 Discussion -- References -- 6 Inductive and Deductive Justification of Knowledge -- 6.1 Background -- 6.1.1 Introduction -- 6.1.2 Theoretical Background -- 6.1.3 Justification of Knowledge -- 6.2 Study 1 -- 6.2.1 Results of the Interview Study -- 6.2.2 Interpretation with Respect to the Category of Epistemological Judgments -- 6.3 Study 2 -- 6.3.1 Results of the Extended Questionnaire Study -- 6.4 Discussion -- 6.4.1 Discussion of Study 1 -- 6.4.2 Discussion of Study 2.
001439345 506__ $$aAccess limited to authorized users.
001439345 520__ $$aEpistemological beliefsi.e. beliefs on the nature of knowledge, its limits, sources, and justificationplay an important role both in everyday life and in learning processes. This book comprises several studies dealing with such beliefs in the domain of mathematics; amongst others a qualitative interview study, and quantitative studies for which a new questionnaire has been developed. In this new instrument, belief position (e.g. "mathematical knowledge is certain" vs. "uncertain" and belief argumentation (the way those positions are justified) are differentiated. Additionally, a test for mathematical critical thinking has been designed. The results show significant correlations between sophisticated belief argumentations and high scores in the critical thinking test, but no correlations regarding belief positions. Der Autor Dr. Benjamin Rott is Professor of Mathematics Education at the University of Cologne. His research focuses on mathematical problem solving, beliefs, and giftedness. The present work was written as a postdoctoral thesis (Habilitation) at the University of Education Freiburg.
001439345 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 9, 2021).
001439345 650_0 $$aMathematics$$xPhilosophy.
001439345 650_0 $$aCritical thinking.
001439345 650_0 $$aKnowledge, Theory of.
001439345 650_6 $$aMathématiques$$xPhilosophie.
001439345 650_6 $$aPensée critique.
001439345 650_6 $$aThéorie de la connaissance.
001439345 655_0 $$aElectronic books.
001439345 77608 $$iPrint version:$$aRott, Benjamin.$$tEpistemological beliefs and critical thinking in mathematics.$$dWiesbaden : Springer Spektrum, [2021]$$z3658335386$$z9783658335380$$w(OCoLC)1240492808
001439345 830_0 $$aFreiburger Empirische Forschung in der Mathematikdidaktik.
001439345 852__ $$bebk
001439345 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-658-33539-7$$zOnline Access$$91397441.1
001439345 909CO $$ooai:library.usi.edu:1439345$$pGLOBAL_SET
001439345 980__ $$aBIB
001439345 980__ $$aEBOOK
001439345 982__ $$aEbook
001439345 983__ $$aOnline
001439345 994__ $$a92$$bISE