@proceedings {456, title = {GeKoDyn: Eine Fortbildungsreihe zur dynamischen und kompetenzorientierten Sicht auf die euklidische Geometrie}, journal = {48. Jahrestagung der Gesellschaft f{\"u}r Didaktik der Mathematik}, year = {2014}, pages = {181{\textendash}184}, publisher = {WTM-Verlag.}, address = {Koblenz}, author = {Rolf Biehler and Ana Kuzle and Wilfried Dutkowski and Elschenbroich, Hans-J{\"u}rgen and Gaby Heintz}, editor = {J{\"u}rgen Roth and J. Ames} } @article {455, title = {Geometrie lehren und lernen {\textendash} kompetenzorientiert und dynamisc}, journal = {Meidenbrief Mathematik}, year = {2014}, pages = {29{\textendash}30}, author = {Rolf Biehler and Wilfried Dutkowski and Elschenbroich, Hans-J{\"u}rgen and Gaby Heintz and Katrin Hollendung and Ana Kuzle} } @inbook {LadKor-DTBLEPVUAAT-2013, title = {Designing a technology based learning environment for place value using artifact-centric activity theory}, booktitle = {Proceedings of the 37th conference of the International Group for the Psychology of Mathematics Education. Mathematics learning across the life span}, volume = {1}, year = {2013}, pages = {188-192}, keywords = {refereed}, author = {Silke Ladel and Ulrich Kortenkamp}, editor = {Anke M. Lindmeier and Aiso Heinze} } @booklet {HofKorSei-HSMVSHVDDA-2013, title = {{Handreichung zur Situation mathematischer Vorkurse an sachsen-anhaltischen Hochschulen und Vorschl{\"a}ge zu deren didaktisch-methodischer Ausgestaltung}}, year = {2013}, publisher = {Transferstelle {\quotedblbase}Qualit{\"a}t der Lehre{\textquoteleft}{\textquoteleft} am WZW Wissenschaftszentrum Sachsen-Anhalt}, keywords = {sonstige}, author = {Andrea Hoffkamp and Ulrich Kortenkamp and Susen Seidel} } @inbook {BesHerKorMulZim-ETWIAF-2012, title = {E-learning Tools with Intelligent Assessment and Feedback}, booktitle = {Intelligent and Adaptive Learning Systems: Technology Enhanced Support for Learners and Teachers}, year = {2012}, publisher = {IGI Global}, organization = {IGI Global}, keywords = {refereed}, author = {Bescherer, Christine and Herding, Daniel and Kortenkamp, Ulrich and M{\"u}ller, Wolfgang and Zimmermann, Marc}, editor = {Graf, Sabine and Lin, Fuhua and Kinshuk and McGreal, Rory} } @inbook {399, title = {Dynamisierter Repr{\"a}sentationstransfer und Metavariation - Ein Ansatz zur F{\"o}rderung funktionalen Denkens durch Computereinsatz}, booktitle = {Beitr{\"a}ge zum Mathematikunterricht 2009}, year = {2009}, publisher = {Franzbecker}, organization = {Franzbecker}, author = {Andrea Hoffkamp} } @proceedings {398, title = {Enhancing Functional Thinking Using the Computer for Representational Transfer}, journal = {Proceedings of CERME 6}, year = {2009}, address = {Lyon (France)}, abstract = {

The area of functional thinking is complex and has many facets. There are several\ studies that describe the specific difficulties of functional thinking. They show that the\ main difficulties are the transfer between the various representations of functions,\ e.g. graph, words, table, real situation or formula, and the dynamic view of\ functional dependencies (process concept of a function). Interactive Geometry\ Software allows the visualization of the dynamic aspect of functional dependencies\ simultaneously in different representations and offers the opportunity to experiment\ with them. The author presents and discusses the potential of two interactive learning\ activities that focus on the dynamic aspect of functional thinking in a special way.\ Some preliminary results from a first adoption of the activities in class are presented.\ Resulting research questions and plans for further research are stated.

}, keywords = {empirical study, Functional thinking, Interactive Geometry Software, Interactive learning activity, representational transfer}, author = {Andrea Hoffkamp} } @conference {401, title = {Funktionales Denken mit dem Computer unterst{\"u}tzen - Empirische Untersuchungen im Rahmen des prop{\"a}deutischen Unterrichts der Analysis}, booktitle = {27. Arbeitstagung des Arbeitskreises "Mathematikunterricht und Informatik" in der GDM}, year = {2009}, address = {Soest}, keywords = {2009, 27., Arbeitstagung, Denken, Funktionales, GDM, Soest}, author = {Andrea Hoffkamp} } @booklet {400, title = {Funktionales Denken und Analysisprop{\"a}deutik - Ein Beitrag zu einem qualitativen Einstieg in die Schulanalysis durch Computereinsatz}, year = {2009}, abstract = {

"Funktionales Denken beginnt bei intuitiven Vorstellungen {\"u}ber funktionale Zusammenh{\"a}nge wie {\textquoteright}Wenn man\ die eine Gr{\"o}{\ss}e {\"a}ndert, dann {\"a}ndert sich die andere" oder "Je mehr..., desto mehr", und es ist voll entwickelt bei\ Denkweisen der Analysis"(Vollrath [6]). Die Realit{\"a}t ist aber ein kalk{\"u}lorientierter Analysisunterricht mit wenig\ inhaltlichen Vorstellungen. Deswegen pl{\"a}dieren viele Didaktiker f{\"u}r einen qualitativen Zugang zur Differential und\ Integralrechnung. Basierend auf der DGS Cinderella wurden interaktive Lernumgebungen entworfen, die\ die dynamische Komponente funktionalen Denkens durch eine zweistufige dynamische Visualisierung akzentuieren.\ Sie zielen darauf ab, inhaltliche Vorstellungen von {\"A}nderungsverhalten funktionaler Abh{\"a}ngigkeiten\ zu entwickeln, bevor das Kalk{\textasciidieresis}ul im Unterricht entwickelt wird. Im Artikel wird exemplarisch an einer Lernumgebung\ gezeigt, wie dies aussehen kann.

}, keywords = {Analysis, Denken, Funktionales}, author = {Andrea Hoffkamp} } @conference {AbaBotEscHenKorKreLibMarMer-IFFP-2009, title = {The {I}ntergeo File Format in Progress}, booktitle = {Proceedings of the 22nd OpenMath Meeting}, year = {2009}, abstract = {In this paper we describe the ongoing effort to specify a com- mon file format for Interactive or Dynamic Geometry Systems (DGS). Our approach is based on the OpenMath standard, and uses its flexible extension mechanisms like Content Dictionaries. We discuss the various design decisions, the Content Dictionaries that have been defined, as well as open questions to be resolved.}, keywords = {Intergeo, refereed}, author = {Ab{\'a}nades, Miguel and Botana, Francisco and Escribano, Jes{\'u}s and Hendriks, Maxim and Kortenkamp, Ulrich and Kreis, Yves and Libbrecht, Paul and Marques, Daniel and Mercat, Christian} } @conference {AbaBotEscHenKorKreLibMarMer-IFFP-2009, title = {The {I}ntergeo File Format in Progress}, booktitle = {Proceedings of the 22nd OpenMath Meeting}, year = {2009}, abstract = {

In this paper we describe the ongoing effort to specify a com- mon file format for Interactive or Dynamic Geometry Systems (DGS). Our approach is based on the OpenMath standard, and uses its flexible extension mechanisms like Content Dictionaries. We discuss the various design decisions, the Content Dictionaries that have been defined, as well as open questions to be resolved.

}, keywords = {refereed}, author = {Ab{\'a}nades, Miguel and Botana, Francisco and Escribano, Jes{\'u}s and Hendriks, Maxim and Kortenkamp, Ulrich and Kreis, Yves and Libbrecht, Paul and Marques, Daniel and Mercat, Christian} } @conference {Kor-EP-2005, title = {Experimentieren und Publizieren}, booktitle = {WWW und Mathematik - Lehren und Lernen im Internet, Tagungsband der 21. Arbeitstagung des Arbeitskreis Mathematikunterricht und Informatik in Dillingen/Donau}, year = {2005}, pages = {120-126}, publisher = {Franzbecker}, organization = {Franzbecker}, address = {Hildesheim}, abstract = {

In diesem Artikel werden zwei Erweiterungen Dynamischer Geometrie-Software (DGS) vorgestellt, die bisher vorhandene L{\"u}cken schlie{\ss}en und neue didaktische Impulse geben k{\"o}nnen. Zum einen wird die Unterst{\"u}tzung von Algorithmen in DGS und die Erweiterung durch selbst geschriebene Module beschrieben, wie sie bereits prototypisch in Cinderella implementiert ist. Zum anderen wird CINErella vorgestellt, eine Kombination aus Interaktion und Film, die sich zum Beispiel f{\"u}r die Dokumentation von Forschungsarbeit mit der DGS eignet.

}, keywords = {invited}, url = {http://kortenkamps.net/papers/2005/Dillingen03.pdf}, author = {Kortenkamp, Ulrich}, editor = {Bender, Peter and Herget, Wilfried and Weigand, Hans-Georg and Weth, Thomas} } @conference {BreKor-ATGWIT-2004, title = {Advanced Teaching of Geometry with Interactive Tools}, booktitle = {Proceedings of RIMS-Workshop ITMga 2003}, number = {1378}, year = {2004}, publisher = {RIMS}, organization = {RIMS}, address = {Kyoto}, abstract = {

In this article we will give a brief introduction into new ways of teaching that are possible with interactive geometry software, in particular with Cinderella, which has just become available in Japan.

}, keywords = {invited}, url = {http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/25650/1/1378-9.pdf}, author = {Brehm, Enno and Kortenkamp, Ulrich}, editor = {Nagaoka, Ryosuke and Ishi, Hideyuki and Hitzer, Eckhard} } @inbook {RicKor-GDG-2001, title = {Grundlagen Dynamischer Geometrie}, booktitle = {Zeichnung {\textendash} Figur {\textendash} Zugfigur}, year = {2001}, pages = {123{\textendash}144}, publisher = {Franzbecker}, organization = {Franzbecker}, address = {Hildesheim, Berlin}, abstract = {

In this article we present fundamental definitions that can be used to introduce a mathematical model for dynamic geometry. Starting from reasonable expectations that such a model should meet we will formalize the terms (dynamic) construction, instance of a construction and Dynamic-Geometry-System (DGS). The behavior of a DGS will be described by the terms conservatism and continuity. One of the main results of this article is that we can find a continuous DGS for any construction Z that is built up using algebraic basic construction steps only.

}, keywords = {refereed}, url = {http://kortenkamps.net/papers/2001/DG_OW1.pdf}, author = {Richter-Gebert, J{\"u}rgen and Kortenkamp, Ulrich}, editor = {Henn, Hans-Wolfgang and Elschenbroich, Hans-J{\"u}rgen and Gawlick, Thomas} } @booklet {Hun-POM-1995, title = {Pseudosph{\"a}renarrangements zu {O}rientierten {M}atroiden}, year = {1995}, publisher = {Westf{\"a}lische Wilhelms-Universit{\"a}t}, type = {Diplomarbeit}, address = {M{\"u}nster}, keywords = {qualifikation}, author = {Hund, Ulrich} }