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Problem solving in mathematics education

proceedings of the 2015 joint conference of ProMath and the GDM working group on problem solving

From 3rd to 5th of September 2015 the 17th international Pro-Math conference (Problem Solving in Mathematics Education) took place at the Faculty of Education of the Martin Luther University Halle-Wittenberg (Germany). For the first time, it was combined with the annual meeting of the working group “Problem Solving” of the Society of Didactics of Mathematics. ProMath is a group of experienced and early career researchers in the field of mathematics education who are interested in investigating and fostering mathematical problem solving and problem oriented mathematics teaching. This book contains 20 peer reviewed articles of researchers from five European countries. The topics of the papers evolved around different areas of learning and problem solving. There are some theoretical papers on problem oriented mathematics instruction and specific aspects of problem solving and creativity as well as reports on detailed studies of problem solving processes of pupils and preservice teachers. Authors also present experiences with “real” problem solving instruction in different countries, considerations and teaching experiments on didactic concepts to foster pupils’ problem solving abilities, and they describe mathematically rich problem fields and their potentials for mathematical investigations in class.

Titel: Problem solving in mathematics education
Untertitel: proceedings of the 2015 joint conference of ProMath and the GDM working group on problem solving
Herausgeber: Fritzlar, Torsten GND
Assmus, Daniela
Kuzle, Ana
Rott, Benjamin GND
Bräuning, Kerstin GND
Dokumenttyp: Konferenzveröffentlichung
Medientyp: Text
Erscheinungsdatum: 2016
Publikation in MIAMI: 30.01.2017
Datum der letzten Änderung: 21.02.2017
Reihe Ars inveniendi et dejudicandi ; 6
Verlag/Hrsg.: WTM-Verlag für wissenschaftliche Texte und Medien
Schlagwörter: Mathematikunterricht; Problemlösen
Fachgebiete: Mathematik; Bildung und Erziehung
Rechtlicher Vermerk: © 2016 WTM - Verlag für wissenschaftliche Texte und Medien, Münster
Sprache: Englisch
Anmerkungen: Druckausgabe: Fritzlar, Torsten; Assmus, Daniela; Kuzle, Ana; Rott, Benjamin (Hrsg.): Problem solving in mathematics education. Münster : WTM, 2016. (Ars inveniendi et dejudicandi ; 6), ISBN 978-3-95987-012-2
Format: PDF-Dokument
ISBN: 978-3-95987-013-9
URN: urn:nbn:de:hbz:6-63239470727
Permalink: https://nbn-resolving.org/urn:nbn:de:hbz:6-63239470727
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Inhalt:
András Ambrus - Use of Worked-out Examples in Mathematics Teaching ……………11
Eszter Árokszállási - “I Learned a Lot and It Did Not Go”: Development of the Combinatorial Thinking in the Secondary School …………….23
Daniela Assmus - Connections of Working Backwards and Reversing Lines of Thought –
Some Theoretical Considerations ……………………33
Kerstin Bräuning - Investigating Multiple Strategy Use and Strategy Flexibility in Problem
Solving by Pre-Service Teachers …………………..41
Torsten Fritzlar & Nadja Karpinski-Siebold - Buying Books – A Case Study on Arithmetic and Algebraic Problem Solving ………………57
Thomas Gawlick & Elisabeth Lucyga - Towards a Development Stage Theory of Problem Solving Competence……………..………73
Günter Graumann - Figures in a Grid – A Problem Field with Different Tasks for Different Grades ..……..…..93
Heike Hagelgans - Billiards as an Applied Subject Matter of Learning Mathematics
through Mathematical Investigations. In-Depth Look in a Design Research Study ..……103
Susanna Hasiwar - Investigating 10-13 Year-Old Students’ Proportional Reasoning in
Paint-Bucket Task …………….113
Eszter Herendiné-Kónya & Katalin Földesi - On Observation of Problem Solving in a Swedish and a Hungarian 5th Year Class …………….123
Raja Herold-Blasius & Benjamin Rott - Using Strategy Keys as a Tool to Influence Strategy Behaviour – A Qualitative Study …………... 137
Julia Joklitschke, Benjamin Rott & Maike Schindler - Evaluating Mathematical Creativity: Towards a Conformation and Rethinking of Quantifying Methods ………………149
Ana Kuzle & Inga Gebel - Development of Materials for Problem Solving Instruction in the Context of Lessons for Promoting and Improving Specific Mathematical Competences Using Design-Based Research ……………......159
Denise Lenz - Relational Thinking and Operating on Unknown Quantities …………... 173
Erkki Pehkonen - What Are We Aiming for in Open Problems? …………………………... 183
Karin Richter & Jenny Kurow - How to Find a Math Problem? Children Discover Wonders Of Mathematics in Their Own Interactive Math Exhibition ………………...…193
Benjamin Rott - Problem Solving in the Classroom: The Role of Beliefs in the Organization
of lessons with the Subject Problem Solving ……………………201
Anna-Christin Söhling - The Learning of Mathematics via Problem Solving ………………215
Ralph Thielbeer - Problem-Orientation in Mathematics Teaching – A Conceptual Approach
to What Does it Mean? ………………227
Bilge Yurekli - Learning to Teach Mathematics through Problem Solving: Investigating
the Effectiveness of a Mathematics Teaching Methods Course………………237