@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 {RicKor-COGP-2008, title = {Cinderella {\textendash} {O}nline-{E}xperimente der {G}eometrie und {P}hysik}, year = {2008}, keywords = {sonstige}, url = {http://www.imaginary2008.de}, author = {Richter-Gebert, J{\"u}rgen and Kortenkamp, Ulrich}, editor = {Greuel, Gert-Martin} } @conference {Kor-TBADMC-2008, title = {A Technology Based Approach to Discrete Mathematics in the Classroom}, booktitle = {Proceedings of ICME-11, TSG 15}, year = {2008}, address = {Monterrey, Mexico}, abstract = {In this article we describe a new approach to teaching discrete mathematics, in particular graph theory and graph algorithms, using interactive geometry software. Students are encouraged to use the computer to explore and verify their theories using a computer, and use it as a tool for modeling real-life situations.}, keywords = {refereed}, url = {http://tsg.icme11.org/document/get/765}, author = {Kortenkamp, Ulrich}, editor = {Campbell, Stephen and Grenier, Denise} } @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} } @article {GesKorLutMat-VVADM-2005, title = {Visage {\textendash} Visualization of Algorithms in Discrete Mathematics}, journal = {Zentralblatt f{\"u}r Didaktik der Mathematik}, volume = {37}, number = {5}, year = {2005}, pages = {395-401}, abstract = {

Abstract: Which route should the garbage collectors{\textquoteright} truck take? Just a simple question, but also the starting point of an exciting mathematics class. The only "hardware" you need is a city map, given on a sheet of paper or on the computer screen. Then lively discussions will take place in the classroom on how to find an optimal routing for the truck. The aim of this activity is to develop an algorithm that constructs Eulerian tours in graphs and to learn about graphs and their properties. This teaching sequence, and those stemming from discrete mathematics, in particular combinatorial optimization, are ideal for training problem solving skills and modeling {\textendash} general competencies that, influenced by the German National Standards, are finding their way into curricula. In this article, we investigate how computers can help in providing individual teaching tools for students. Within the Visage project we focus on electronic activities that can enhance explorations with graphs and guide students even if the teacher is not available {\textendash} without taking away freedom and creativity. The software package is embedded into a standard DGS, and it offers many pre-built and teacher-customizable tools in the area of graph algorithms. Until now, there are no complete didactical concepts for teaching graph algorithms, in particular using new media. We see a huge potential in our methods, and the topic is highly requested on part of the teachers, as it introduces a modern and highly relevant part of mathematics into the curriculum.

}, keywords = {refereed}, author = {Geschke, Anne and Kortenkamp, Ulrich and Lutz-Westphal, Brigitte and Materlik, Dirk} } @conference {Kor-MMTNVC-2002, title = {Making the move: {T}he next version of {C}inderella}, booktitle = {Proceedings of the First International Congress of Mathematical Software}, year = {2002}, note = {A slightly modified version appeared in the proceedings of CCCG 02.}, pages = {208{\textendash}216}, publisher = {World Scientific}, organization = {World Scientific}, abstract = {

Cinderella is a software package for interactive or dynamic geometry. Its first version was published in 1999 and was the first geometry software to be based on the theory of complex tracing3, thus avoiding mathematical inconsistencies and unmotivated discontinuities (modulo numerical errors). At the ICMS 2002 we will introduce the next major version of Cinderella and highlight its new features and new concepts.

}, keywords = {refereed}, url = {http://www.cs.uleth.ca/~wismath/cccg/papers/ulrich.pdf}, author = {Kortenkamp, Ulrich}, editor = {Cohen, Arjeh M. and Gao, Xiao-Shan and Takayama, Nobuki} } @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} }