Theories in and of Mathematics Education Theory Strands in German Speaking Countries 1st Edition by Angelika Bikner Ahsbahs, Andreas Vohns, Oliver Schmitt, Regina Bruder, Willi Dorfler ISBN 3319425889 9783319425894

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ISBN 10: 3319425889 
ISBN 13: 9783319425894
Author: Angelika Bikner Ahsbahs, Andreas Vohns, Oliver Schmitt, Regina Bruder, Willi Dorfler

This survey provides an overview of German meta-discourse on theories and mathematics education as a scientific discipline, from the 1970s to the 1990s. Two theory strands are offered: a semiotic view related to Peirce and Wittgenstein (presented by Willibald Dörfler), and the theory of learning activity by Joachim Lompscher (presented by Regina Bruder and Oliver Schmitt). By networking the two theoretical approaches in a case study of learning fractions, it clarifies the nature of the two theories, how they can be related to inform practice and renew TME-issues for mathematics education as a scientific discipline. Hans-Georg Steiner initiated the first of five international conferences on Theories of Mathematics Education (TME) to advance the founding of mathematics education as a scientific discipline, and subsequently German researchers have continued to focus on TME topics but within various theory strands.

Theories in and of Mathematics Education Theory Strands in German Speaking Countries 1st Table of contents:

• Mathematical Thinking and Learning: Cognitive and Constructivist Theories

  • Piaget’s Contributions and Beyond
  • Cognitive Development in Mathematics Education
  • Constructivist Approaches: From Vygotsky to Contemporary Theorists
  • Models of Mathematical Problem-Solving

• Didactics of Mathematics: Theories and Frameworks

  • The German Tradition of Mathematics Didactics
  • Approaches to Teaching and Learning Mathematics in German-Speaking Countries
  • The Role of Cultural and Contextual Factors in Mathematics Didactics
  • Teaching for Understanding: From Theory to Practice

• Sociocultural Theories in Mathematics Education

  • The Role of Social Interaction and Language in Learning Mathematics
  • Communities of Practice and Mathematics Education
  • The Impact of Social, Cultural, and Historical Contexts on Learning

• Mathematics as a Discursive Practice: Linguistic and Semiotic Theories

  • Mathematics as a Language and Semiotic System
  • The Role of Language in Mathematical Thinking and Communication
  • The Influence of Discourse on Mathematical Understanding

• Mathematical Knowledge and Teacher Education

  • Theories of Teacher Knowledge in Mathematics Education
  • Knowledge for Teaching: Theories of Mathematical Pedagogical Content Knowledge (PCK)
  • Teacher Development and Professional Growth in Mathematics Education
  • The Role of Teacher Beliefs and Practices in Shaping Instruction

• Learning Environments and Instructional Theories

  • Designing Effective Learning Environments for Mathematics
  • Theories of Classroom Interaction and Student Engagement
  • Technology Integration in Mathematics Education
  • Collaborative Learning and Its Role in Developing Mathematical Competence

• Assessment in Mathematics Education: Theoretical Foundations and Practices

  • Theories of Assessment in Mathematics Education
  • Formative and Summative Assessment Approaches
  • Assessment for Learning and Diagnostic Assessment
  • Measuring Mathematical Understanding and Competence

• Educational Reforms and Theoretical Insights

  • The Impact of Educational Policies and Reforms on Mathematics Education
  • Insights from Mathematics Education Research for Educational Policy
  • Comparative Perspectives: Mathematics Education in German-Speaking Countries vs. Other Regions

• Philosophical Perspectives on Mathematics Education

  • The Philosophy of Mathematics and Its Implications for Education
  • Mathematical Truth, Proof, and Epistemology in Education
  • The Concept of Mathematical Understanding and Its Relationship to Knowledge

• Future Directions: Emerging Theories in Mathematics Education

  • New Trends and Challenges in Mathematics Education Research
  • Interdisciplinary Approaches and Theories
  • The Role of Globalization and Digital Transformation in Shaping Future Theories

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Angelika Bikner Ahsbahs,Andreas Vohns,Oliver Schmitt,Regina Bruder,Willi Dorfler,Mathematics Education,Theory Strands,German Speaking Countries