Mathematics and mathematics education research have an ongoing interest in improving our understanding of mathematical problem posing and solving. This book focuses on problem posing in a context of mathematical giftedness. The contributions particularly address where such problems come from, what properties they should have, and which differences between school mathematics and more complex kinds of mathematics exist. These perspectives are examined internationally, allowing for cross-national insights.
How to identify and foster mathematically gifted children in times of
the pandemic, experiences from the PriSMa-project: Kinder der Primarstufe und
Sekundarstufe auf verschiedenen Wegen zur Mathematik.- Problem Posing as a
Central Criterion for the Support of Mathematically Highly Gifted Teenagers
within the Program Pri(S)Ma.- Teaching problem solving a problem-thread
from the Pósa method..- on excellence classes, title TBA.- Choosing problems
by association..- Differences and similarities between Open-start and
Open-end mathematical tasks. (TBC).- An enrichment course based on
challenging problems effects on students and teachers..- Three articles by
the WURM-Project: Workshops on Using Rich Mathematical Concepts for
Educational Outreach and Advancement.- A story of multiple-year problem
posing of a single problem for mathematics competition..- Problem-posing
processes: A comparison of structured and unstructured
situations..- Mathematics as a craft or how to train dimensions of problem
variation: A illustrative William-Stern-Society style example.
Deniz Sarikaya is a guest researcher at the University of Copenhagen and the Technical University of Denmark (funded by the DAAD) and postdoctoral researcher at the Vrije Universiteit Brussel (within an FWO-project).Lukas Baumanns did his doctorate on problem posing at the University of Cologne. Currently he works at the Chair of Special Education in Mathematics and focuses on early mathematics learning and mathematical difficulties.Karl Heuer is an assistant professor in Discrete Mathematics at the Technical University of Denmark. He mainly works in Graph Theory, but is also active in enrichment programmes. He obtained his PhD in mathematics at the University of Hamburg.Benjamin Rott is a professor of Mathematics Education at the University of Cologne. He obtained a PhD at the University of Hannover, worked at the University of Education Freiburg and the University of Duisburg-Essen. His research interests include problem posing/solving, giftedness, and beliefs.
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