Compendium for Early Career Researchers in Mathematics Education

Description

The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Important Mathematics Education Themes, Academic Writing and Academic Publishing, and a section Looking Ahead. The chapters are based on workshops that were presented in the Early Career Researcher Day at the 13th International Congress on Mathematical Education (ICME-13). The combination of presentations on methodological approaches and theoretical perspectives shaping the field in mathematics education research, as well as the strong emphasis on academic writing and publishing, offered strong insight into the theoretical and empirical bases of research in mathematics education for early career researchers in this field. Based on these presentations, the book provides a state-of-the-art overview of important theories from mathematics education and the broad variety of empirical approaches currently widely used in mathematics education research. This compendium supports early career researchers in selecting adequate theoretical approaches and adopting the most appropriate methodological approaches for their own research. Furthermore, it helps early career researchers in mathematics education to avoid common pitfalls and problems while writing up their research and it provides them with an overview of the most important journals for research in mathematics education, helping them to select the right venue for publishing and disseminating their work. Front Matter ....Pages i-xiv Front Matter ....Pages 1-1 Argumentation Analysis for Early Career Researchers (Christine Knipping, David A. Reid)....Pages 3-31 Topic-Specific Design Research: An Introduction (Koeno Gravemeijer, Susanne Prediger)....Pages 33-57 A Naturalistic Paradigm: An Introduction to Using Ethnographic Methods for Research in Mathematics Education (Judit N. Moschkovich)....Pages 59-79 An Introduction to Grounded Theory with a Special Focus on Axial Coding and the Coding Paradigm (Maike Vollstedt, Sebastian Rezat)....Pages 81-100 Interactional Analysis: A Method for Analysing Mathematical Learning Processes in Interactions (Marcus Schütte, Rachel-Ann Friesen, Judith Jung)....Pages 101-129 Planning and Conducting Mixed Methods Studies in Mathematics Educational Research (Nils Buchholtz)....Pages 131-152 The Research Pentagon: A Diagram with Which to Think About Research (Angelika Bikner-Ahsbahs)....Pages 153-180 Qualitative Text Analysis: A Systematic Approach (Udo Kuckartz)....Pages 181-197 Problematising Video as Data in Three Video-based Research Projects in Mathematics Education (Man Ching Esther Chan, Carmel Mesiti, David Clarke)....Pages 199-218 Front Matter ....Pages 219-219 Approaching Proof in the Classroom Through the Logic of Inquiry (Ferdinando Arzarello, Carlotta Soldano)....Pages 221-243 A Friendly Introduction to “Knowledge in Pieces”: Modeling Types of Knowledge and Their Roles in Learning (Andrea A. diSessa)....Pages 245-264 Task Design Frameworks in Mathematics Education Research: An Example of a Domain-Specific Frame for Algebra Learning with Technological Tools (Carolyn Kieran)....Pages 265-287 Gender and Mathematics Education: An Overview (Gilah C. Leder)....Pages 289-308 Theoretical Aspects of Doing Research in Mathematics Education: An Argument for Coherence (Stephen Lerman)....Pages 309-324 The Professional Development of Mathematics Teachers (Björn Schwarz, Gabriele Kaiser)....Pages 325-343 Front Matter ....Pages 345-345 Pleasures, Power, and Pitfalls of Writing up Mathematics Education Research (Norma Presmeg, Jeremy Kilpatrick)....Pages 347-358 Scholarly Writing (Helen J. Forgasz)....Pages 359-374 Front Matter ....Pages 375-375 Educational Studies in Mathematics: Shaping the Field (Merrilyn Goos)....Pages 377-391 For the Learning of Mathematics: An Introduction to the Journal and the Writing Within It (Richard Barwell, David A. Reid)....Pages 393-405 The International Journal of Science and Mathematics Education: A Beginner’s Guide to Writing for Publication (Peter Liljedahl)....Pages 407-424 Journal for Research in Mathematics Education: Practical Guides for Promoting and Disseminating Significant Research in Mathematics Education (Jinfa Cai, Stephen Hwang, Victoria Robison)....Pages 425-442 The Journal of Mathematical Behavior (Carolyn A. Maher, Elizabeth Uptegrove, Louise C. Wilkinson)....Pages 443-453 Publishing in the Journal of Mathematics Teacher Education (Despina Potari)....Pages 455-466 Towards Article Acceptance: Avoiding Common Pitfalls in Submissions to Mathematical Thinking and Learning (Lyn D. English)....Pages 467-479 ZDM Mathematics Education—Its Development and Characteristics (Gabriele Kaiser)....Pages 481-492 Front Matter ....Pages 493-493 What Makes for Powerful Classrooms, and How Can We Support Teachers in Creating Them? A Story of Research and Practice, Productively Intertwined (Alan H. Schoenfeld)....Pages 495-510 If We Want to Get Ahead, We Should Transcend Dualisms and Foster Paradigm Pluralism (Thorsten Scheiner)....Pages 511-532