Christina M. Krause – Curriculum Vitae CONTACT INFORMATION Postal (office) Email Tel. (office) Residence Citizenship
Research interests
University of DuisburgEssen, Faculty for Mathematics TheaLeymann street 9, 45127 Essen, Germany
[email protected] +49 201 183 4680 Essen, Germany German
Mathematics Education: Gestures, embodiment and multimodality in the learning of mathematics; Deaf learners; Semiotics in mathematics; Metaphorics in mathematics; Mathematical epistemology; Aspects of language in the learning of mathematics
EDUCATION 04/2015
PhD (Dr. rer. nat., summa cum laude) at the University of Bremen, Department 3 (Mathematics and Computer Science) Title of the thesis: “The mathematics in our hands: How gestures contribute to constructing mathematical meaning” 1st assessor: Prof. Dr. Angelika BiknerAhsbahs, University of Bremen (Germany) 2nd assessor: Prof. Dr. Ferdinando Arzarello, University of Turin (Italy)
04/2010 – 04/2015
PhDcandidate: University of Bremen (Germany), Department 3 (Mathematics and Computer Science), Working Group Mathematics Education Research focus in mathematics education: “semiotics”, “gesture studies”, “construction of mathematical knowledge”, “social interaction” Supervisor: Prof. Dr. Angelika BiknerAhsbahs (Bremen, Germany)
05/2009
Graduation in Mathematics (Graduation degree: Dipl.Math., equivalent to the NorthAmerican Master’s degree) Title of the thesis: “On minimal tropical bases of regular matroids” (supervised by Prof. Dr. EvaMaria Feichtner)
10/2008 – 05/2009
Graduate Student: University of Bremen (Germany), Department 3 (Mathematics and Computer Science), Mathematics and Computer Science
10/2005 – 09/2006
Study Abroad at the Universitá degli Studi di Siena (Italy)
10/2002 – 03/2009
Diploma studies: Carl von OssietzkyUniversität Oldenburg (Germany) Major: Mathematics; Minor: Physics
Christina M. Krause – Curriculum Vitae RESEARCH AND TEACHING EXPERIENCE 04/2016 – 09/2016
University of Siegen, Faculty IV – Department for Mathematics, Mathematics Education Visiting/Substitute professor Mathematics Education (on leave from the University of DuisburgEssen)
10/2014 – now
University of DuisburgEssen, Campus Essen (Germany) Faculty for Mathematics, Working group Mathematics Education Postdoctoral researcher and lecturer
10/2013 – 09/2014
University of Bremen, Department 3 (Mathematics and Computer Science), Working group Mathematics Education Research and teaching assistant
02/2010 – 01/2013
University of Bremen, Department 3 (Mathematics and Computer Science), Working group Mathematics Education Research and teaching assistant
09/200909/2010
menssana Coaching Institute Oldenburg (Germany) Private tutor for mathematics, physics and Italian at secondary level
09/2009
University of Applied Sciences, Oldenburg (Germany) Guest lecturer in ‘mathematics for engineers‘
10/2006 – 08/2008
Carl von OssietzkyUniversity Oldenburg (Germany), Department of Mathematics Teaching Assistant in mathematics
10/2004 – 08/2005
Carl von OssietzkyUniversity Oldenburg (Germany), Department of Mathematics Teaching Assistant in mathematics
CURRENT AND CONCLUDED PROJECTS 2015 – ongoing
Principal Investigator of the project “DeafMath: The mathematics of hearingimpaired learners – Barriers and chances” Recruitment and guidance of associated staff: One student research assistant, two deaf assistants for translation and consulting.
2010 – 2013
Active collaborator in the project “Epistemic processes from a semiotic point of view – On the role of signs in the construction of mathematical knowledge“, in cooperation with the University of Turin (funded by the Central Research Developmental Fund (ZF) of the University of Bremen, grant #03/112/08; Principal Investigator: Prof. Dr. Angelika BiknerAhsbahs)
COURSES TAUGHT University of Essen: 
Master’s thesis course (winter term 2016/2017) This course is provided to Master students in the program for prospective secondary teachers. In three allday sessions, the students writing their Master’s thesis in this program are introduced into ongoing research at the department, chose their supervisor, develop their research question, present their methodology as well as first results. The aim of this course is to provide an additional cosupervision of the other leaders of the seminar to let them benefit from the several perspectives these leaders can offer. (~ 15 students, coleadership with Prof. Dr. Andreas Büchter, Prof. Dr. Benjamin Rott and Dr. Sebastian Bauer)
Christina M. Krause – Curriculum Vitae 
Cognitive and psychological aspects of the learning of mathematics (upcoming winter term 2016/2017) A third year’s Bachelor’s course in Mathematics Education, covering fundamental ideas in mathematics education. (~ 70 students, primary instructor)

Communication processes in mathematical (learning) situations (winter terms 2014/2015, 2015/2016, upcoming 2016/2017) A facultative Bachelor’s course accompanying the practical training of mathematical teaching situations (in school or other educative institutions). In this course the students encounter different theoretical perspectives to observe and analyse social interaction in situations of learning mathematics. (~ 20  30 students, primary instructor)

Assessment of mathematical performance in mathematics: Analyses of concrete cases (summer term 2015) Third year’s Bachelor’s course for future teachers. The course was subdivided in a theoretical part – in which the students learn the theoretical basics of assessment of mathematical performance and existing literature in mathematics education on student’s mathematical conceptions – and a practical part in which they have to design and implement an assessment test to present the results from their analyse and their interpretation of these results. (~ 50 students, subdivided in two groups, primary instructor)
University of Siegen (summer term 2016): 
Speech, gesture, inscription: A view on sign use in social processes of learning mathematics A thirdyear Bachelor’s course for future teachers, emphasizing the role of signs in mathematical learning processes. This course is subdivided in a theoretical part and a practical part. In the theoretical part, the students become acquainted with notions and concepts linked to different kinds of signs used in the mathematics classroom, and how they are connected to teaching and learning. In each lesson, they are asked to apply some of these ideas by observing and analysing given data. In the second part, the students work together in groups to design a mathematics lesson for a school class that is invited to the university. The lesson, held by the future teachers, is filmed and subsequently analysed with respect to some aspect of sign use chosen by the participants of the course themselves. (18 students, primary instructor)

Lectures on “Elements of geometry“ and supervision of the corresponding tutorial lessons “Elements of geometry” is a second year Bachelor’s course for prospective teachers for primary and lower secondary school. The focus was on basic Euclidean geometry. The students had to attend one of the five corresponding tutorial lessons for which I provided the additional tasks. (~ 90 students, primary instructor)
University of Bremen: 
Observing and analyzing: Sign use in mathematical learning processes (summer term 2014) A firstyear Master’s course for future teachers, emphasizing the role of signs in mathematical learning processes. The students learn about theoretical semiotic concepts and their role in the teaching and learning of mathematics. In the course of the term, they have to modify a given task on folding geometry based on the theoretical knowledge they got to know before. They are asked to use these tasks in a mathematics lesson at a school chosen by themselves and to observe the sign use of the students with respect to a research question of their choice and interest. (~ 20 students, team teaching with Prof. Dr. BiknerAhsbahs)

Basic lectures on theories, concepts and approaches in mathematics education (winter terms 2010/2011, 2011/2012, 2013/2014) A secondyear Bachelor’s course in Mathematics Education, giving an overview on ideas and theories on teaching and learning. (~ 2040 students, teaching assistant)
Christina M. Krause – Curriculum Vitae 
Didactics of teaching functions (summer terms 2011, 2012) A secondyear Bachelor’s course in Mathematics Education, focusing on the teaching and learning of functions. (~ 20 students, teaching assistant)
University of Applied Sciences, Oldenburg (September 2009): 
Basics of mathematics for engineers Two weeks crash course on basic mathematics for future engineering students (~60 students, material provided)
University of Oldenburg: 
Algebra Tutorial for the secondyear algebra course, provided in the mathematics bachelor’s program. (~ 25 students, teaching assistant)

Linear Algebra Tutorial for the firstyear linear algebra course, provided in the mathematics bachelor’s program (~ 25 students, teaching assistant)

Analytical geometry for future secondary teachers Tutorial for the secondyear course for prospective secondary teachers. The focus of the course was set on analytical geometry in 2 to 3 dimensions. (~ 25 students, teaching assistant)
CONFERENCES AND OTHER RESEARCH STAYS Presenting: 08/2016
PME 40 (40th Conference of the International Group for the Psychology in Mathematics Education) (Szeged, Hungary)
07/2016
ISGS 7 (7th International Conference of the International Society for Gesture Studies) (Paris, France)
07/2016
ICME 13, Speaker in the TSG 54 (Semiotics in mathematics education) (Hamburg, Germany)
07/2016
Invited talk at the University of Cologne, Colloquium in Mathematics Education
03/2016
50th Annual Conference of the German Society for Mathematics Education (Heidelberg, Germany) (Two talks)
01/2016
Invited talk at the annual conference of the Italian Society for Mathematics Education „XXXIII Seminario di Ricerca in Didattica della Matematica” (Talks in Italian) (Rimini, Italy)
07/2015
39th Conference of the International Group for the Psychology in Mathematics Education (Hobart, Tasmania)
02/2015
49th Annual Conference of the German Society for Mathematics Education (Basel, Switzerland)
02/2015
CERME 9 (9th Congress of European Researchers in Mathematics Education (Prag, Czech Republic)
09/2014
14th International Conference of the German Society for Semiotics, theme session on ‘Body diagrams: On the epistemic kinetics of gesture‘ (Tübingen, Germany)
09/2014
Invited talk at the interdisciplinary workshop ‘Body Diagrams – On the Epistemic Kinetics of Gesture‘ at the HumTec of the RWTH Aachen, invited by Prof. Dr. Irene Mittelberg (Aachen, Germany)
07/2014
ISGS 6 (6th International Conference of the International Society for Gesture Studies) (San Diego, California)
08/2012
YESS 6 (Summer school of ERME) (Faro, Portugal)
Christina M. Krause – Curriculum Vitae 07/2012
36th Conference of the International Group for the Psychology of Mathematics Education (Taipei, Taiwan)
03/2012
46th Annual Conference of the German Society for Mathematics Education (Weingarten, Germany)
03/2011
Presentation at the mathematics education working group of the University of Turin (Italy) during a research stay (Talk in Italian)
02/2011
46th Annual Conference of the German Society for Mathematics Education (Freiburg, Germany)
10/2010
Presentation at the mathematics education working group of the University of Turin (Italy) during a research stay (Talk in Italian)
Attendance: 01/2016
Inaugural conference of the Competence Centre of Sign Language and Gesture (SignGes) (Aachen, Germany)
09/2015
Research stay at the University of Turin (Italy)
04/2013
Research stay at the University of Turin (Italy)
10/2011
13th International Congress on Semiotics (Potsdam, Germany)
09/2011
GESPIN 2011: Gesture and Speech in Interaction (Bielefeld, Germany)
02/2011 CERME 7 (Congress of European Researchers in mathematics education) (Rzeszów, Poland) 10/2010
XXIX Convegno UMICIIM sull’insegnamento della matematica (Cetraro, Italy)
07/2008
“A tropical Wednesday in Göttingen”: Conference on tropical Geometry (Göttingen, Germany)
03/2006
Ischia Group Theory 2006 (Ischia, Italy)
GRANTS AND AWARDS
2016 Teaching award (together with the working group of Prof. Dr. Andreas Büchter) of the University of DuisburgEssen (5000€)
Award for the mostdownloaded dissertation on SpringerLink in the first half of 2016 (100€)
PostDocaward 2016 of the Faculty of mathematics of the University of DuisburgEssen (5.000€)
Financial support for the project “DeafMath: The mathematics of hearingimpaired learners – Barriers and chances“, granted by the principle of the University DuisburgEssen within a program supporting excellent emerging researchers; Science Support Centre of the University of DuisburgEssen (December 2015; 25.800€)
Approval of grant by the DAAD (German Academic Exchange Service) for funding the participation at the PME 39 in Hobart, Tasmania in July 2015 (2139€)
Department 3 (Mathematics and Computer Science) of the University of Bremen, for attending the conference ISGS 6 (Conference of the International Society for Gesture Studies) in July 2014 in San Diego, California (500€)
ISGS student bursary for reimbursing the conference fee for the ISGS 6 (conference of the International Society for Gesture Studies in July 2014, San Diego, USA) (350 USD)
Approval of a graduation grant by Unit 12 (Research Services) of the University of Bremen (8800€)
Promos (DAAD, German Academic Exchange Service) for attending the YERMESummer school YESS 6 in August 2012 in Portugal (500€)
Impulse/Travel Expenses Allowance, Announcement of the Central Research Development Fund (ZF) of the University of Bremen, for the Conference of the PME 36 in Taipei, Taiwan in July 2012 (1200€)
Christina M. Krause – Curriculum Vitae PROFESSIONAL ACTIVITIES Memberships
L'Associazione Italiana di Ricerca in Didattica della Matematica (AIRDM) (2016)
International Group for the Psychology of Mathematics Education (PME) (2012, 2015, 2016)
European Society for Research in Mathematics Education (ERME) (2015/2016)
EARLI (European Association for Research on Learning and Instruction (since 2014)
International Society for Gesture Studies (ISGS) (since 2012)
German Society for Mathematics Education (GDM) (since 2010)
Special Interest Group “Educational Neuroscience” (SIG 22) der EARLI (2014)
Working Group ‘Semiotics in Mathematic Education ‘ of the GDM (20102012)
Additional Education and Outreach
Organisation of a reaching and research visit of Prof. Jérôme Proulx (UQAM, Montréal, Canada) at the Mathematics Education working group at the University of DuisburgEssen; Organisation of the corresponding seminars (02/2016)
Organisation of and participation in two workshops on programs related to qualitative data analysis (MaxQDA and feldpartitur) at the mathematics education working group of the University of DuisburgEssen (03/2015)
Oral presentations in a workshop for doctoral students (selforganized collaboration between the working groups of mathematics education universities of Oldenburg and Bremen (05/2011–04/2014)
Participation in the YERMESummer school YESS6 in Faro, Portugal (08/2012) (participants selected in a reviewprocess)
Course in German Sign Language (two courses, 10/201107/2012)
Course in English academic writing (winter term 2010/2011)
Workshop on representation skills „Respiration, Voice, Language, Presence“ (summer term 2010)
Activities 02/2006 – 08/2006
Gruppo Erasmus di Siena, Siena (Italien)
01/2005 – 01/2006
Member of the students‘ parliament at the CvOUniversity Oldenburg (Germany)
10/2003 – 10/2005
Student representative at the Department of Mathematics, CvOUniversity Oldenburg (Germany)
LANGUAGES German (mother tongue) English, Italian (fluent) French, German Sign Language (beginner) FURTHER INTERESTS Climbing, Bouldering, Mathematics, Dancing, Running, Theatre, Crime Fiction
Christina M. Krause – Curriculum Vitae
Christina M. Krause – Publications Monographs Krause, C. M. (2016). The mathematics in our hands: How gestures contribute to constructing mathematical knowledge. Wiesbaden: Springer Spektrum. (http://www.springer.com/de/book/9783658119478)
Book chapters Krause, C. M. (in review). Embodied Geometry: Signs and gestures used in the deaf mathematics classroom – the case of symmetry. In R. Hunter, M. Civil, B. HerbelEisenmann, N. Planas, D. Wagner (eds.), Mathematical discourse that breaks barriers and creates space for marginalized learners. Rotterdam, Netherlands: Sense. Krause, C. M. (in review). Information bundles and their associated signs. How gestures can ‘make’ mathematical meaning. In I. Mittelberg & A. Gerner (eds.), Body diagrams – On the epistemic kinetics of gesture. Amsterdam, Netherlands: John Benjamins.
Refereed conference proceedings Krause, C. & Salle, A. (2016). Learners’ gestures when learning alone. In: C. Csíkos, A. Rausch, J. Szitányi (eds.). Proceedings of the 40th Conference of the International Group for the Psychology in Mathematics Education, Vol. 3 (pp. 123130). Szeged, Hungary: PME. Sabena, C., Krause, C. M., & Maffia, A. (2016). L'analisi semiotica in ottica multimodale: dalla costruzione di un quadro teorico al networking con altre teorie [Semiotic analysis within a multimodal perspective: from the construction of a theoretic frame to networking theories]. Contribution to the Italian conference “XXXIII Seminario di Ricerca in Didattica della Matematica”, January 2016 in Rimini, Italy. Accessible online http://www.airdm.org/doc/SemNaz2016_RELAZIONE.pdf [last downloaded 01/31/2016] Krause, C. M. (2015). Epistemic functions of gestures: Results from an empirical study. In K. Beswick, T. Muir, & J. Wells (eds). Proceedings of the 39th Conference of the International Group for the Psychology in Mathematics Education, Vol. 1, (p. 177). Hobart, Tasmania: PME. Krause, C. M. (2015). On the nature of representational gestures as grounded in the mathematical task. In K. Beswick, T. Muir, & J. Wells (eds). Proceedings of the 39th Conference of the International Group for the Psychology in Mathematics Education, Vol. 1 (p. 232). Hobart, Tasmania: PME. Krause, C. M. (2015). Gestures as part of discourse in reasoning situations: Introducing two epistemic functions of gestures. In K. Krainer & N. Vondrová (eds.), Proceedings of the 9th Congress of the European Society for Research in Mathematics Education (CERME 9 in Prague 2015) (pp. 14271433), Prague, CZ: ERME. BiknerAhsbahs, A., Sabena, C., Arzarello, F. & Krause, C. M. (2014). Semiotic and theoretic control within and across conceptual frames. In C. Nicol, P. Liljedahl, S. Oesterle, & D. Allan (eds.), Proceedings of the joint meeting of PME 38 and PMENA 36. Vol. 2 (pp. 153160). Vancouver, Canada: PME. Accessible online: http://www.pmena.org/proceedings/PMENA%2036 %20PME%2038%202014%20Proceedings%20Vol%202.pdf [last downloaded 11/01/2015] Krause, C. M. & BiknerAhsbahs, A. (2012). Modes of sign use in epistemic processes. In T.Y. Tso (ed.), Proceedings of the 36th Conference of the International Group for the Psychology in Mathematics Education, Vol. 3 (p. 19 – 26), Taipei, Taiwan: PME.
Christina M. Krause – Curriculum Vitae
Refereed conference abstracts Krause, C. M. & Salle, A. (in press). Gestures in individual mathematical learning processes: Perspectives for the researcher and for the learner. In: The Book of Abstracts of the 7th Conference of the International Society for Gesture Studies. Paris, France: ISGS. Sabena, C., Krause, C. M., & Maffia, A. (2015). L'analisi semiotica in ottica multimodale: dalla costruzione di un quadro teorico al networking con altre teorie. [Semiotic analysis within a multimodal perspective: from the construction of a theoretic frame to networking theories]. Extended Abstract for the Italian conference “XXXIII Seminario di Ricerca in Didattica della Matematica“, accessible online http://www.airdm.org/doc/SemNaz2016_Abstract.pdf [last downloaded 11/19/2015] Krause, C. M. (2014). Information bundles and their associated signs – how gestures can ‘make’ mathematical meaning. In: The Book of Abstracts of the 14th International Conference of the German Society for Semiotics. Tübingen, Germany: DGS. Accessible online: http://www.semiose.de/ export_download.php?id=772 (p. 106) [last downloaded 11/19/2015] Krause, C. M. & BiknerAhsbahs, A. (2014). ‘Where, what and how‘ – Specifying gestures as a pathway to mathematics? In: The Book of Abstracts of the 6th Conference of the International Society for Gesture Studies. San Diego, USA: ISGS. Accessible online http://www.math.unibremen. de/didaktik/ma/chkrause/documents/Krause_BiknerAhsbahs_Where,_what_and_how.pdf [last downloaded 11/11/2014]
Nonrefereed conference proceedings Krause, C. M. (in press). DeafMath – Ein Projekt zum Einfluss der Gebärdensprache auf Mathematikverständnis [DeafMath – A project on the influence of sign language on understanding mathematics]. Vorträge auf der 50. Tagung für Didaktik der Mathematik vom 7.3. bis 11.3.2016 in Heidelberg [Proceedings of the 50th Annual Conference of the German Society for Mathematics Education in Heidelberg, Germany]. Salle, A. & Krause, C. M. (in press). Grundvorstellungen und Gesten – Eine exemplarische Analyse im Bereich linearer Funktionen [Grundvorstellungen and gestures – A case analysis in the context of linear functions]. Vorträge auf der 50. Tagung für Didaktik der Mathematik vom 7.3. bis 11.3.2016 in Heidelberg [Proceedings of the 50th Annual Conference oft he German Society for Mathematics Education in Heidelberg, Germany]. Krause, C. M. (2015). Hände hoch! – Ergebnisse einer empirischen Studie zur Rolle von Gesten in sozialen mathematischen Erkenntnisprozessen. [Hands up! – Results of an empirical study on the role of gestures in social epistemic processes in mathematics]. Vorträge auf der 49. Tagung für Didaktik der Mathematik vom 9.2. bis 13.2.2015 in Basel [Proceedings of the 49th Annual Conference of the German Society for Mathematics Education in Basel, Switzerland]. Münster: WTM. Accessible online: https://eldorado.tudortmund.de/bisstream/2003/34637/1/BzMU15_KRAUSE_Gesten.pdf [last downloaded 03/17/2016] Behrens, D., Krause, C. M., BiknerAhsbahs, A. (2014). „Ich zeig‘ uns was, was du nicht siehst“ – Zur epistemischen Rolle von Gesten. [[„I show us something that you don’t see“ – On the epistemic role of gestures]. In J. Roth & J. Ames (eds.), Beiträge zum Mathematikunterricht. Vorträge auf der 48. Tagung für Didaktik der Mathematik vom 10.3. bis 14.3.2014 in Koblenz [Proceedings of the 48th Annual German conference for Mathematics Education in Koblenz, Germany]. (pp. 149152). Münster: WTM. Accessible online https://eldorado.tudortmund.de/bitstream/2003/33057/1/BzMU144ESBehrens352.pdf [last downloaded 07/27/2014]
Christina M. Krause – Curriculum Vitae Krause, C. M. (2012). Arten des Zeichengebrauchs und ihre Rolle im mathematischen Erkenntnisprozess [Modes of sign use and their role in epistemic processes] In M. Ludwig, & M. Kleine (Eds.), Beiträge zum Mathematikunterricht. Vorträge auf der 46. Tagung für Didaktik der Mathematik vom 5.3. bis 9.3.2012 in Weingarten (S. 469472) [Proceedings to the 46th Annual German conference for Mathematics Education in Weingarten, Germany]. Münster: WTM. Accessible online: http://www.mathematik.unidortmund.de/ieem/bzmu2012/files/BzMU12_0208_Krause.pdf [last downloaded 201405 21] Krause, C. M. (2011). Formen und Funktionen des Zeichengebrauchs im mathematischen Erkenntnisprozess [Forms and functions of sign use in mathematical epistemic processes] In R. Haug & L. Holzäpfel (Hrsg.), Beiträge zum Mathematikunterricht. Vorträge auf der 45. Tagung für Didaktik der Mathematik vom 21.2. bis 25.2.2011 in Freiburg (S. 483486) [Proceedings to the 46th Annual German conference for Mathematics Education in Weingarten, Germany]. Münster: WTM. Accessible online: http://www.mathematik.unidortmund.de/ieem/bzmu2012/files/BzMU12_0208_Krause.pdf [last downloaded 201501 15]
Under review Krause, C. M. (in review). DeafMath: Exploring the influence of sign language on mathematical conceptualization. Proceedings of the 10th Congress of the European Society for Research in Mathematics Education (CERME 10 in Dublin 2017).
In preparation Salle, A. & Krause, C. M. (in prep). On the role of gestures for the descriptive analysis of Grundvorstellungen’. Semiotics monograph of TSG 54 of ICME 13 (13th International Congress on Mathematical Education). Krause, C. M. (in prep.). Diagnose mathematischer Leistungen im Förderschwerpunkt – (Wie) kann das gehen? In preparation for a special issue on inclusion of the practical journal Mathematik lehren [teaching mathematics].
September 2016