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Mathematics education 2 - OPDM1M104B

Title:	Didaktika matematiky 2
Guaranteed by:	Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty:	Faculty of Education
Actual:	from 2020
Semester:	both
E-Credits:	0
Hours per week, examination:	0/0, other [HS]
Capacity:	winter:unknown / unknown (10) summer:unknown / unknown (10)
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Note:	course is intended for doctoral students only enabled for web enrollment can be fulfilled in the future you can enroll for the course in winter and in summer semester

Guarantor:	prof. RNDr. Naďa Vondrová, Ph.D. doc. RNDr. Darina Jirotková, Ph.D. prof. RNDr. Jarmila Novotná, CSc.
Teacher(s):	doc. RNDr. Darina Jirotková, Ph.D. prof. RNDr. Jarmila Novotná, CSc. prof. RNDr. Naďa Vondrová, Ph.D.

Opinion survey results Examination dates WS schedule SS schedule Noticeboard

Annotation -

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (08.10.2020)

The student chooses the focus of the course according to the current offer of the PhD Board. The course can also be led by a foreign expert in the didactics of mathematics or another expert after the topic has been approved by the supervisor and the guarantor of the program. The selected topic will become the basis for the relevant part of the doctoral examination. The aim of the course is to deepen knowledge and gain research skills in the didactics of mathematics in a particular area.

Literature - Czech

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (08.10.2020)

Brousseau, Guy. Theory of Didactical Situations in Mathematics. [Edited and translated by Balacheff, M. Cooper, R. Sutherland, V. Warfield], 1997. Dordrecht,/Boston/London: Kluwer Academic Publishers.

Brousseau, Guy, Novotná, Jarmila a Sarrazy, Bernard. Didactic contract. In: Lerman, Stephen (ed.), Encyclopedia of Mathematics Education, 2014: 153-159. Springer.

Sarrazy, Bernard a Novotná, Jarmila. Didactical contract and responsiveness to didactical contract: A theoretical framework for enquiry into students’ creativity in mathematics. ZDM, 45(2), 2013, 281-293. DOI 10.1007/s11858-013-0496-4. http://link.springer.com/article/10.1007%2Fs11858-013-0496-4

HELME, S. a CLARKE, D. Cognitive engagement in the Mathematics Classroom. In: D. Clarke (ed.), Perspectives on Practice and Meaning in Mathematics and Science Classrooms, 2001, s. 13-15. Netherlands: Kluwer

Piccolo, D.L., Harbaugh, A.P., Carter, T.A., Capraro, M.M. a Capraro, R.M. Quality of Instruction: Examining Discourse in Middle School Mathematics Instruction. Journal of Advanced Academics, 19(3), 2008, s. 376-410.

Santagata, R. Practices and beliefs in mistake-handling activities: A video study of Italian and US mathematics lessons. Teaching & Teacher Education, 21(5), 2005, 491-508. doi:10.1016/j.tate.2005.03.004

Duval, R. A cognitive analysis of problems of comprehension in a learning of matheamtics. Educational Studies in Mathematics, 61(1), s .103-131, 2006.

Vondrová, N., Rendl, M. a kol. Kritická místa matematiky základní školy v řešeních žáků. Praha: Karolinum, 2015.

Sherin, M. G., Jacobs, V. R., a Philipp, R.A. (Eds.) Mathematics Teacher Noticing: Seeing Through Teachers’ Eyes. 2011. New York and London: Taylor & Francis.

Simpson, A., Vondrová, N. a Žalská, J. Sources of Shifts in Pre-Service Teachers' Patterns of Attention: The Roles of Teaching Experience and of Observational Experience. Journal of Mathematics Teacher Education. Advance online placement. 2017. DOI 10.1007/s10857-017-9370-6

Requirements to the exam -

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (08.10.2020)

Essay, professional discussion, article or oral examination

Syllabus -

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (08.10.2020)

We will introduce some topics with selected basic literature, which will be specified on the basis of an agreement between the teacher and the doctoral student.
A. Selected parts of the theory of didactic situations.
B. Research of school teaching of mathematics
C. Critical points of mathematics in primary school pupils in solving problems
D. Development and research of professional vision of teachers and future teachers