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Methods of teaching mathematics 3

Code: 61590
ECTS: 9.0
Lecturers in charge: doc. dr. sc. Matija Bašić
prof. dr. sc. Željka Milin Šipuš
Lecturers: Eva Špalj - Seminar

doc. dr. sc. Matija Bašić - Exercises
Ivan Puljiz , mag. math. - Exercises
English level:


All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 30
Seminar 30
* Load is given in academic hour (1 academic hour = 45 minutes)
COURSE AIMS AND OBJECTIVES: The course aims to provide student - mathematics teachers with necessary knowledge and skills for effective planning, management, implementing and reflecting mathematical lessons at primary and secondary school level. Particular attention will be paid to the didactics of combinatorics, statistics, probability and mathematical analysis.

COURSE DESCRIPTION AND SYLLABUS: The course contains lectures, tutorials and seminars. Theoretical part (lectures) focuses on the basics of mathematics teaching and learning. Students - prospective teachers will be introduced to the didactics of combinatorics, stochastics and mathematical analysis in primary and secondary school curricula. In tutorials, acquired theoretical knowledge will be applied to selected examples - topics from school mathematics, through various forms of instruction and working methods (individual study, hands - on activities, pair work, group work, team - collaborative work, project work). Seminars consist of students' group or individual oral presentations of assigned topics from school mathematics, followed up by group discussions.
The headlines of the course are:
1. Types of mathematical subjects (courses) approaches to children with special needs. Compulsory, elective, optional, additional and remedial courses. Modified curriculum for students with special needs (with mild mental retardation or fine motor problems). Mathematically gifted children. Mathematical competitions in Croatia and abroad.
2. Lesson planning and classroom management. Insight into mathematics curricula and syllabuses in the primary and secondary education. Pedagogical documentation. Lesson planning and preparing. Lesson structure. Development of materials for mathematics instruction. Didactical means.
3. Mathematical problems. Theories and methods of mathematical problem solving. Open - ended and close - ended problems. Posing, solving and extending mathematical problems. Problem solving strategies. Communicating mathematical problems and solutions.
4. Didactics of combinatorics, probability and statistics. Basics combinatorial concepts. Dirichlet (pigeonhole) principle. Basic principles of counting. Inclusion - exclusion principle and its connection to the operations with sets. Data handling and statistics. Different conceptions of randomness and probability. Fundamental stochastic ideas. Exploratory data analysis. Association and causality. Inference and induction. Various teaching methods, curriculum materials and psychological factors for developing combinatorial and stochastical concepts. Errors, difficulties and misconceptions in probability, graphing, averages, association, distributions and inference.
5. Didactics of mathematical analysis. Developing the fundamental concepts of real analysis at different educational stages: functions, limits, differential and integral calculus. Presentation of various didactical approaches to selected topics, followed up by group disscusions.
Prerequisit for:
Enrollment :
Passed : Methods of teaching mathematics 2
Passed : Using technology in mathematics teaching
3. semester
Mandatory course - Regular study - Mathematics and Computer Science Education
Consultations schedule:


Link to the course web page: https://web.math.pmf.unizg.hr/nastava/metodika/