Working group 12
Advanced mathematical thinking
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TABLE OF CONTENTS
- Introduction / Roza Leikin, Claire Cazes, Joanna Mamona-Dawns, Paul Vanderlind
- A theoretical model for visual-spatial thinking / Conceição Costa, José Manuel Matos, Jaime Carvalho e Silva
- Secondary-tertiary transition and students’ difficulties: the example of duality / Martine De Vleeschouwer
- Learning advanced mathematical concepts: the concept of limit / António Domingos
- Conceptual change and connections in analysis / Kristina Juter
- Using the onto-semiotic approach to identify and analyze mathematical meaning in a multivariate context / Mariana Montiel, Miguel R. Wilhelmi, Draga Vidakovic, Iwan Elstak
- Derivatives and applications; development of one student’s understanding / Gerrit Roorda, Pauline Vos, Martin Goedhart
- Finding the shortest path on a spherical surface: “academics” and “reactors” in a mathematics dialogue / Maria Kaisari, Tasos Patronis
- Number theory in the national compulsory examination at the end of the French secondary level: between organising and operative dimensions / Véronique Battie
- Defining, proving and modelling: a background for the advanced mathematical thinking / Mercedes García, Victoria Sánchez, Isabel Escudero
- Necessary realignments from mental argumentation to proof presentation / Joanna Mamona-Downs, Martin Downs
- An introduction to defining processes / Cécile Ouvrier-Buffet
- Problem posing by novice and experts: comparison between students and teachers / Cristian Voica, Ildikó Pelczer
- Advanced mathematical knowledge: how is it used in teaching? / Rina Zazkis, Roza Leikin
- Urging calculus students to be active learners: what works and what doesn't / Buma Abramovitz, Miryam Berezina, Boris Koichu, Ludmila Shvartsman
- From numbers to limits: situations as a way to a process of abstraction / Isabelle Bloch, Imène Ghedamsi
- From historical analysis to classroom work: function variation and long-term development of functional thinking / Renaud Chorlay
- Experimental and mathematical control in mathematics / Nicolas Giroud
- Introduction of the notions of limit and derivative of a function at a point / Ján Gunčaga
- Factors influencing teacher’s design of assessment material at tertiary level / Marie-Pierre Lebaud
- Design of a system of teaching elements of group theory / Ildar Safuanov
