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
• 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.

Annotation

English

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.

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

Czech

Student si vybírá zaměření kurzu podle aktuální nabídky oborové rady. Kurz může vést i zahraniční odborník v didaktice matematiky dlouhodobě pobývají na KMDM* či jiný odborník poté, co téma schválí školitel a garantka programu. Vybrané téma se stane základem pro příslušnou část doktorské zkoušky. Cílem předmětu je prohloubit znalosti a získat výzkumné dovednosti v didaktice matematiky v určité oblasti.

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

Literature

A.

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

B.

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

C.

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.

D.

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

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

Requirements to the exam

English

Essay, professional discussion, article or oral examination

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

Czech

Zpracování závěrečné práce a/nebo odborná rozprava

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

Syllabus

English

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

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

Czech

Některá témata uvedeme i s vybranou základní literaturou, která bude upřesněna na základě domluvy vyučujícího a doktoranda.

A.     Vybrané partie z teorie didaktických situací.

B.     Zkoumání školního vyučování matematice

C.     Kritická místa matematiky u žáků základní školy v řešení úloh

D.     Rozvoj a zkoumání profesního vidění učitelů a budoucích učitelů

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