@book {KorBraBenKruLadVog-EML-2014, title = {Early Mathematics Learning}, year = {2014}, publisher = {Springer-Verlag}, organization = {Springer-Verlag}, keywords = {submitted}, isbn = {978-1-4614-4677-4}, url = {http://www.springer.com/education+\%26+language/mathematics+education/book/978-1-4614-4677-4}, editor = {Ulrich Kortenkamp and Birgit Brandt and Christiane Benz and G{\"o}tz Krummheuer and Silke Ladel and Rose Vogel} } @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} } @article {KisBurVolKor-ESSMSPS-2013a, title = {An Explorative Study of Search of Model Space in Problem Solving}, year = {2013}, note = {Submitted for publication}, keywords = {submitted}, author = {Saskia Kistener and Bruce Burns and Regina Vollmeyer and Ulrich Kortenkamp} } @booklet {KisBurVolKor-ESSMSPS-2013, title = {An Explorative Study of Search of Model Space in Problem Solving}, year = {2013}, abstract = {Building on dual-space theories, the three-space theory of problem solving suggests to add search of a model space in addition to search of experiment and hypothesis space. This study aimed at exploring the three postulated spaces, especially model space, by means of verbal protocols. Participants (n=32) were asked to think aloud while working with a computer based learning program. With this program they could learn about torques in physics using interactive graphics in which experiments with levers and forces could be conducted. Their knowledge about torques was tested before and after working with the program. Verbal protocols were analyzed with regard to the amount of search of the three spaces and regarding the quality of the participants{\textquoteright} models for torques. The three postulated spaces could be reliably identified in the protocols. For validity, the model quality score was related to performance and predicted final knowledge beyond prior knowledge. Our results add to the validity of model space and allow us to derive more specific hypotheses from the three-space theory.}, keywords = {poster}, url = {http://www.academia.edu/4237499}, author = {Saskia Kistener and Bruce Burns and Regina Vollmeyer and Ulrich Kortenkamp} } @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} } @booklet {KisBurKorVol-LWIPP-2012, title = {Learning with an interactive physics programme}, year = {2012}, keywords = {sonstige}, author = {Kistner, Saskia and Burns, Bruce and Kortenkamp, Ulrich and Vollmeyer, Regina} } @inbook {KorBle-VEP-2011, title = {VideoClipQuests as an E-Learning Pattern}, booktitle = {Investigations on E-Learning Patterns: Context Factors, Problems, and Solutions}, year = {2011}, pages = {237-248}, publisher = {Information Science Reference}, organization = {Information Science Reference}, chapter = {15}, address = {Hershey, PA}, keywords = {refereed}, doi = {10.4018/978-1-60960-144-7.ch015}, author = {Kortenkamp, Ulrich and Blessing, Axel M.}, editor = {Kohls, Christian and Wedekind, Joachim} } @conference {KorBesSpa-SH-2010, title = {Schnittstellenaktivit{\"a}t Hochschul-Mathematikdidaktik}, booktitle = {Beitr{\"a}ge zum Mathematikunterricht. Vortr{\"a}ge auf der 44. Tagung f{\"u}r Didaktik der Mathematik in M{\"u}nchen}, year = {2010}, pages = {61-68}, publisher = {WTM Verlag}, organization = {WTM Verlag}, address = {M{\"u}nster}, keywords = {invited}, author = {Kortenkamp, Ulrich and Bescherer, Christine and Spannagel, Christian} } @inbook {BleKor-VSL-2010, title = {VideoClipQuests as a New Setup For Learning}, booktitle = {Learning and Instruction in the Digital Age: Making a Difference through Cognitive Approaches, Technology-facilitated Collaboration and Assessment, and Personalized Communications}, year = {2010}, publisher = {Springer-Verlag}, organization = {Springer-Verlag}, chapter = {11}, abstract = {

VideoClipQuests (VCQs) are a teaching-learning approach focussed on the learner{\textquoteright}s self-activity while information is collected by searching the Internet, similar to the well- established concept of WebQuests. VCQs can be one element to sensibly integrate the possi- bilities and advantages of the virtual world into teaching. Some of the advantages of VCQs are that they allow the teachers great latitude, they can be created very easily, they are com- patible with a multitude of learning platforms, and they can be used both in e-Learning and traditional lectures. Moreover, they appear to inherently motivate the learners and thus be- come highly accepted. In this chapter we present the concept of a VCQ as well as first evalu- ation results of their influence in learning.

}, keywords = {refereed}, author = {Blessing, Axel M. and Kortenkamp, Ulrich}, editor = {Spector, J. Michael and Ifenthaler, Dirk and Isa{\'\i}as, Pedro and Kinshuk and Sampson, Demetrios G.} } @conference {SpaKor-DGAPDGS-2009, title = {Demonstrating, Guiding, and Analyzing Processes in Dynamic Geometry Systems}, booktitle = {Proceedings of the 9th International Conference on Technology in Mathematics Teaching}, year = {2009}, publisher = {ICTMT-9}, organization = {ICTMT-9}, address = {Metz}, abstract = {

Process-oriented mathematics education focuses on learning processes rather than on their outcomes only. These processes should be monitored, guided and supported by the teacher. In addition, feedback should be given on the students{\textquoteright} activities, not only on their results. Groups of 30 (school) up to more than 600 (university) learners render it impossible to support processes without appropriate technology. This paper describes the tool CleverPHL that allows for designing process-oriented learning scenarios: processes can be recorded, replayed, completed, guided, and analyzed. These features are demonstrated with dynamic geometry systems (DGS).

}, keywords = {refereed}, author = {Spannagel, Christian and Kortenkamp, Ulrich}, editor = {Bardini, C. and Fortin, C. and Oldknow, Adrian and Vagost, D.} } @conference {El-Kor-EEPUDGSDMGSGC-2009, title = {The Effectiveness of an Enrichment Program Using Dynamic Geometry Software in Developing Mathematically Gifted Students{\textquoteright} Geometric Creativity}, booktitle = {Proceedings of the 9th International Conference on Technology in Mathematics Teaching}, year = {2009}, publisher = {ICTMT-9}, organization = {ICTMT-9}, address = {Metz}, abstract = {

The research work presented in this paper was guided by three goals: First, to identify the principles of preparing an enrichment program in Euclidean geometry using Dynamic Geometry Software to develop the mathematically gifted students{\textquoteright} geometric creativity in high schools, second, to develop an enrichment program based on the identified principles, and third, to investigate its effectiveness by testing it with high school students. The enrichment program was administered to 7 mathematically gifted students in 12 weekly 90-minute sessions. Results of a pre-post measurements revealed the effectiveness of the program in developing the subjects{\textquoteright} geometric creativity as a whole ability and its four sub-components (fluency, flexibility, originality, and elaboration).

}, keywords = {refereed}, author = {El-Demerdash, Mohamed and Kortenkamp, Ulrich}, editor = {Bardini, C. and Fortin, C. and Oldknow, Adrian and Vagost, D.} } @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 {KorBleDohKreLibMer-IIGEFTERFCIP-2009, title = {Interoperable Interactive Geometry For Europe {\textendash} First Technological and Educational Results and Future Challenges of the Intergeo Project}, booktitle = {Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education. January 28th - February 1st 2009, Lyon (France)}, year = {2009}, month = {January}, publisher = {Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education}, organization = {Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education}, address = {Lyon (France)}, abstract = {In this overview article we describe the manifold achievements and challenges of Intergeo, a project co-funded within the eContentplus programme2 of the European Union.}, keywords = {Intergeo, refereed}, url = {http://www.inrp.fr/publications/edition-electronique/cerme6/wg7-11-kortenkamp.pdf}, author = {Kortenkamp, Ulrich and Blessing, Axel M. and Dohrmann, Christian and Kreis, Yves and Libbrecht, Paul and Mercat, Christian} } @conference {KorBleDohKreLibMer-IIGEFTERFCIP-2009, title = {Interoperable Interactive Geometry For Europe {\textendash} First Technological and Educational Results and Future Challenges of the Intergeo Project}, booktitle = {Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education. January 28th - February 1st 2009, Lyon (France)}, year = {2009}, month = {January}, publisher = {Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education}, organization = {Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education}, address = {Lyon (France)}, abstract = {

In this overview article we describe the manifold achievements and challenges of Intergeo, a project co-funded within the eContentplus programme2 of the European Union.

}, keywords = {refereed}, url = {http://www.inrp.fr/publications/edition-electronique/cerme6/wg7-11-kortenkamp.pdf}, author = {Kortenkamp, Ulrich and Blessing, Axel M. and Dohrmann, Christian and Kreis, Yves and Libbrecht, Paul and Mercat, Christian} } @conference {FesKor-POLEIGL-2009, title = {Process Orientated Learning Environments For Interactive Geometry Lessons}, booktitle = {Proceedings of the 9th International Conference on Technology in Mathematics Teachingh International Conference on Technology in Mathematics Teaching}, year = {2009}, publisher = {ICTMT-9}, organization = {ICTMT-9}, address = {Metz}, abstract = {

Based on the interactive geometry software Cinderella we developed a learning environment to be used for teaching geometry at university level. Following the ideas of the constructivist learning theory the software allows for learning by discovery. The activities are implemented in a process-oriented design. Our software supports both the learning of mathematical processes by the students and analysing their process of learning mathematics. In this paper we focus on a particular learning unit on congruencies and line reflections. By varying the axes of reflection, students can study the reduction theorems for geometric transformations. Different directly given or subliminal hints help the students to understand the mathematical principles behind these theorems. Our tool analyses the student{\textquoteright}s solution processes automatically and generates feedback on demand to the students. This learning environment can be used in conjunction with the recording of user actions. Our final goal is to be able to analyse learning processes of students using the tool semi- automatically and use this information to improve teaching and learning.

}, keywords = {refereed}, author = {Fest, Andreas and Kortenkamp, Ulrich}, editor = {Bardini, C. and Fortin, C. and Oldknow, Adrian and Vagost, D.} } @conference {KorDohKreDor-UIPTR-2009, title = {Using the {I}ntergeo Platform for Teaching and Research}, booktitle = {Proceedings of the 9th International Conference on Technology in Mathematics Teaching}, year = {2009}, publisher = {ICTMT-9}, organization = {ICTMT-9}, address = {Metz}, abstract = {We describe the key achievements of Intergeo, a project co-funded within the eContentplus programme of the European Union, and their impact on teacher education, based on the technical and educational concepts of the Intergeo Platform.}, keywords = {Intergeo, refereed}, author = {Kortenkamp, Ulrich and Dohrmann, Christian and Kreis, Yves and Dording, Carole}, editor = {Bardini, C. and Fortin, C. and Oldknow, Adrian and Vagost, D.} } @conference {KorDohKreDor-UIPTR-2009, title = {Using the {I}ntergeo Platform for Teaching and Research}, booktitle = {Proceedings of the 9th International Conference on Technology in Mathematics Teaching}, year = {2009}, publisher = {ICTMT-9}, organization = {ICTMT-9}, address = {Metz}, abstract = {

We describe the key achievements of Intergeo, a project co-funded within the eContentplus programme of the European Union, and their impact on teacher education, based on the technical and educational concepts of the Intergeo Platform.

}, keywords = {refereed}, author = {Kortenkamp, Ulrich and Dohrmann, Christian and Kreis, Yves and Dording, Carole}, editor = {Bardini, C. and Fortin, C. and Oldknow, Adrian and Vagost, D.} } @conference {BleKor-VEP-2009, title = {VideoClipQuests as an E-Learning Pattern}, booktitle = {Proceedings of the E-Learning Patterns Workshop 2009}, year = {2009}, keywords = {refereed}, author = {Blessing, Axel and Kortenkamp, Ulrich} } @conference {BleKor-EVM-2008, title = {Der {E}insatz von {V}ideo{C}lip{Q}uests in {M}oodle}, booktitle = {Vortr{\"a}ge auf der 5. Internationalen Moodle Konferenz 2008 in Klagenfurt}, year = {2008}, address = {Klagenfurt}, keywords = {refereed}, url = {http://moodlemoot.at/moodle/mod/data/view.php?d=2\&rid=22}, author = {Blessing, Axel M. and Kortenkamp, Ulrich} } @conference {BleKor-VSL-2008, title = {VideoClipQuests as a New Setup For Learning}, booktitle = {Proceedings of the IADIS International Conference on Cognition and Exploratory Learning in Digital Age (CELDA 2008)}, year = {2008}, month = {10}, pages = {343{\textendash}346}, publisher = {IADIS}, organization = {IADIS}, address = {Freiburg}, abstract = {

VideoClipQuests {\textendash} in short: VCQs {\textendash} are a teaching-learning-approach focussed on the learner{\textquoteright}s self-activity while information is collected by searching the Internet, similar to the well-established concept of WebQuests. VCQs can be one element to sensibly integrate the possibilities and advantages of the virtual world into teaching. Some of the advantages of VCQs are that they allow the teacher great latitude, they can be created very easily, they are compatible with a multitude of learning platforms, and they can be used both in e-learning and traditional lectures. Moreover, they appear to inherently motivate the learners and thus become highly accepted. In this paper we present the concept of a VCQ as well as first evaluation results of their influence to learning.

}, keywords = {refereed}, author = {Blessing, Axel and Kortenkamp, Ulrich}, editor = {Kinshuk and Sampson, Demetrios G. and Spector, J. Michael and Isa{\'\i}as, Pedro and Ifenthaler, Dirk} } @inbook {RicKor-ZMA-2008, title = {Zusammenspiel: Mathematik und Architektur}, booktitle = {π und Co.}, year = {2008}, pages = {342{\textendash}349}, publisher = {Springer-Verlag}, organization = {Springer-Verlag}, chapter = {V.3}, abstract = {

Das Verh{\"a}ltnis von Mathematik und Architektur ist ein spannungsreiches Wechselspiel von Inspiration und Emanzipation, Notwendigkeit und gestalterischer Freiheit, Formenvielfalt und Beschr{\"a}nkung auf das Wesentliche. W{\"a}hrend es in der Mathematik die M{\"o}glichkeit gibt, Strukturen losgel{\"o}st von materiellen Beschr{\"a}nkungen zu studieren, ist die Architektur dazu "verdammt" umsetzbar sein zu m{\"u}ssen. Der Mathematik wird dadurch in der Architektur eine doppelte Rolle zuteil. Einerseits ist die Mathematik als Grundlage von Baustatik, Materialphysik und r{\"a}umlicher Formgebung oftmals notwendiger Pr{\"u}fstein der Umsetzbarkeit. Dabei erm{\"o}glichen heute neue mathematische Techniken, insbesondere unter der Einbeziehung von Computern, auch die Umsetzung von neuen Geb{\"a}udekonzepten.

}, keywords = {invited}, doi = {10.1007/978-3-540-77889-9_36}, url = {http://www.springerlink.com/content/q2713783j150p730/}, author = {Richter-Gebert, J{\"u}rgen and Kortenkamp, Ulrich}, editor = {Behrends, Ehrhard and Gritzmann, Peter and Ziegler, G{\"u}nter} } @inbook {Kor-PA-2007, title = {Punkt- und {A}chsenspiegelungen mit {DGS}}, booktitle = {Lernen mit Dynamischen Geometriesystemen}, series = {Ausgew{\"a}hlte Unterrichtskonzepte im Mathematikunterricht in unterrichtlicher Erprobung}, volume = {3}, year = {2007}, pages = {5-28}, publisher = {Franzbecker}, organization = {Franzbecker}, address = {Hildesheim}, keywords = {refereed}, author = {Kortenkamp, Ulrich}, editor = {Beckmann, Astrid} } @conference {MulBesKorSpa-ICAMCSP-2006, title = {Intelligent Computer-aided Assessment in the Math Classroom: State-of-the-art and Perspectives}, booktitle = {Proceedings of the IFIP WG 3.1, 3.3, \& 3.5 Joint Conference Imagining the future for ICT and Education, Alesund, Norway}, year = {2006}, publisher = {IFIP}, organization = {IFIP}, address = {Alesund}, keywords = {refereed}, author = {M{\"u}ller, Wolfgang and Bescherer, Christine and Kortenkamp, Ulrich and Spannagel, 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} } @conference {Kor-IGC-2001, title = {Die interaktive {G}eometrie-{S}oftware {C}inderella}, booktitle = {Tagungsband Learntec 2001}, volume = {2}, year = {2001}, pages = {525{\textendash}532}, address = {Karlsruhe}, keywords = {refereed}, author = {Kortenkamp, Ulrich}, editor = {Beck, Uwe and Sommer, Winfried} }