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Mathematical Problem Posing: Conceptual Considerations and Empirical Investigations for Understanding the Process of Problem Posing: Kölner Beiträge zur Didaktik der Mathematik

Autor Lukas Baumanns
en Limba Engleză Paperback – 20 noi 2022
Mathematical problem posing as the substantive formulation of mathematical problems is an activity that lies at the heart of mathematics. In recent years, research in mathematics education has endeavored to gain insights into problem posing—conceptually as well as empirically. In problem-posing research, there has been a focus on analyzing products, that is, the posed problems. Insights into the processes that lead to these products, however, have so far been lacking. Within four journal articles, summarized in this cumulative dissertation, the author attempts to contribute to the understanding of problem-posing processes through conceptual considerations and empirical investigations. The conceptual part consists of a conducted systematic literature review to investigate problem-posing situations and problem-posing activities. The studies in the empirical part deal with the analyses of problem-posing processes of pre-service mathematics teachers from a macroscopic and microscopic perspective. The aim is to develop coherent and meaningful conceptual perspectives for analyzing empirical observations of problem-posing processes.
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Specificații

ISBN-13: 9783658399160
ISBN-10: 3658399163
Pagini: 301
Ilustrații: XV, 301 p. 47 illus. Textbook for German language market.
Dimensiuni: 148 x 210 mm
Greutate: 0.42 kg
Ediția:1st ed. 2022
Editura: Springer Fachmedien Wiesbaden
Colecția Springer Spektrum
Seria Kölner Beiträge zur Didaktik der Mathematik

Locul publicării:Wiesbaden, Germany

Cuprins

Introduction.- Theoretical frame.- Journal articles.- Discussion & Outlook .- Listings.

Notă biografică

About the author

Lukas Baumanns was a research assistant at the Institute for Mathematics Education at the University of Cologne. He currently works at the University of Cologne at the Chair of Special Education in Mathematics

Textul de pe ultima copertă

Mathematical problem posing as the substantive formulation of mathematical problems is an activity that lies at the heart of mathematics. In recent years, research in mathematics education has endeavored to gain insights into problem posing—conceptually as well as empirically. In problem-posing research, there has been a focus on analyzing products, that is, the posed problems. Insights into the processes that lead to these products, however, have so far been lacking. Within four journal articles, summarized in this cumulative dissertation, the author attempts to contribute to the understanding of problem-posing processes through conceptual considerations and empirical investigations. The conceptual part consists of a conducted systematic literature review to investigate problem-posing situations and problem-posing activities. The studies in the empirical part deal with the analyses of problem-posing processes of pre-service mathematics teachers from a macroscopic and microscopic perspective. The aim is to develop coherent and meaningful conceptual perspectives for analyzing empirical observations of problem-posing processes.


About the author 
Lukas Baumanns was a research assistant at the Institute for Mathematics Education at the University of Cologne. He currently works at the University of Cologne at the Chair of Special Education in Mathematics.