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Methods of teaching mathematics 4

Code: 61594
ECTS: 7.0
Lecturers in charge: doc. dr. sc. Matija Bašić - Lectures
prof. dr. sc. Željka Milin Šipuš - Lectures
Lecturers: Eva Špalj - Seminar

dr. sc. Renata Vlahović Kruc - 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: This course provides student - mathematics teachers with necessary knowledge and skills for effective planning, management, implementing and reflecting mathematical lessons at primary and secondary school level and with various assessment techniques. Particular attention will be paid to the didactics of geometry, trigonometry and mathematical modelling, and to mathematical applications in other fields.

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 geometry, trigonometry and mathematical modelling, as well as to some frequent mathematical applications from 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. Assessment of students' achievments. Continuous (classroom) assessment and grading methods. Self-assessment. Assessment of group work. Development of written proofs and tests.
2. Didactics of geometry and trigonometry. Goals of teaching and learning geometry and trigonometry. Axiomatic approach to the plane and space geometry in the primary and secondary mathematics education. Development of the spacial orientation and reasoning. Syntetic and analytic (coordinate) geometry. Gender differences in the spacial reasoning. Teaching methods, curriculum materials, psychological factors for developing geometric and measurement concepts.
3. Didactics of mathematical modelling. Mathematics of finance and business. Role of applications in mathematics curriculum. Applications in the natural and social sciences (especially in business and finances). Notion of mathematical model - relation between "real world" and mathematical problems. The process of mathematical modelling. Design and development of mathematical models. Teaching methods and curriculum materials.
  1. M. Pavleković: Metodika nastave matematike s informatikom 1
  2. M. Pavleković: Metodika nastave matematike s informatikom 2
  3. B. Pavković, D. Veljan: Elementarna matematika 1
  4. B. Pavković, D. Veljan: Elementarna matematika 2
  5. D. Palman: Planimetrija
  6. D. Palman: Stereometrija
  7. A. S. Posamentier, J. Stepelman: Teaching Secondary School Mathematics: Techniques and Enrichment Units
  8. B. Dougherty (Ed.): Research in Mathematics Education
  9. M. A. Sobel, E. M. Maletsky: Teaching Mathematics: A Sourcebook of Aids, Activities, and Strategies
  10. J. A. Van De Walle: Elementary and Middle School Mathematics: Teaching Developmentally,5th edition
  11. C. J. Brahier: Teaching Secondary and Middle School Mathematics
  12. M. Serra: Discovering Geometry: An Inductive Approach
  13. J. Murdock, Ellen Kamischke, Eric Kamischke: Discovering Advanced Algebra: An Investigative Approach
  14. K. Johnson, T. Herr: Problem Sopving Strategies - Crossing the River with Dogs and Other Mathematical Adventures
  15. R. L. Scheaffer, M. Gnanadesikan, A. Watkins, J. A. Witmer: Activity - Based Statistics
  16. A. Watkins, R. L. Scheaffer, G. W. Cobb: Statistics in Action: Understanding the World of Data
Prerequisit for:
Enrollment :
Passed : Mathematics teaching practice in middle school
Passed : Methods of teaching mathematics 3
4. semester
Mandatory course - Mandatory studij - Mathematics and Computer Science Education
Consultations schedule:


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