MA0010 Introduction to Didactics of Mathematics

Faculty of Education
autumn 2020
Extent and Intensity
2/0/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jaroslav Beránek, CSc. (lecturer)
Mgr. Irena Budínová, Ph.D. (lecturer)
Mgr. Lenka Pavlíčková, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable
Mon 16:00–17:50 učebna 30
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to acquaint students with general knowledge of didactics of mathematics, which will be possible to follow in the following master study. At the basic level, the student will get acquainted with methods of solving mathematical problems, with preparation for lesson, with different textbooks and orientation in them, with various aids, methods and approaches applicable in mathematics teaching, with individualized teaching.
Learning outcomes
At the end of the course students will have a basic idea of the available textbooks, the Framework Educational Program, the preparation for the lesson. They will be able to solve selected mathematical problems by different methods. They will learn how to use aids in teaching mathematics, with some alternative approaches. They will have a basic overview of joint learning of gifted and pupils with specific learning disabilities.
Syllabus
  • • Textbooks, comparison of textbooks, work with textbooks • Preparation for lesson • Teaching Methods in Mathematics • Methods of Solving Mathematical Problems (Selected Types of Word Problems and Their Solution, Solving Problems from the Point of View of Pupils to Solution) • Mathematical competitions (various methods of solving problems from mathematical competitions) • Solution of numerical problems from geometry, constructional problems • Framework Educational Program - Mathematics and its Applications • Tools in mathematics, work with tools • Different approaches to teaching mathematics (H-mat, Montessori pedagogic) • Pupils with specific learning disabilities in mathematics, gifted pupils in mathematics, a pupil with dual exceptionality
Literature
    recommended literature
  • BUDÍNOVÁ, Irena. Přístupy nadaných žáků 1. a 2. stupně základní školy k řešení některých typů úloh v matematice (Approaches of first and second degree gifted pupils to solve various types of problems). první. Brno: Masarykova univerzita, Pedagogická fakulta, 2018, 202 pp. Matematika a didaktika matematiky. ISBN 978-80-210-9215-0. Available from: https://dx.doi.org/10.5817/CZ.MUNI.M210-9216-2018. info
  • BLAŽKOVÁ, Růžena. Didaktika matematiky se zaměřením na specifické poruchy učení (Didactics of mathematics with a focus on specific learning disorders). 1st ed. Brno: Masarykova univerzita, 2017, 194 pp. Matematika a didaktika matematiky, sv. 2. ISBN 978-80-210-8673-9. Available from: https://dx.doi.org/10.5817/CZ.MUNI.M210-8673-2017. Munishop info
  • POLÁK, Josef. Didaktika matematiky : jak učit matematiku zajímavě a užitečně. 1. vydání. Plzeň: Fraus, 2014, 431 stran. ISBN 9788072384495. info
  • BLAŽKOVÁ, Růžena. Dyskalkulie II. Poruchy učení v matematice na 2. stupni základní školy (Dyscalculia II. Disabilities of pupils on secondary school). první. Brno: Masarykova univerzita, 2010, 110 pp. Spisy MU svazek 149. ISBN 978-80-210-5395-3. info
  • HEJNÝ, Milan and František KUŘINA. Dítě, škola a matematika : konstruktivistické přístupy k vyučování. 2., aktualiz. vyd. Praha: Portál, 2009, 232 s. ISBN 9788073673970. info
  • HŘÍBKOVÁ, Lenka. Nadání a nadaní : pedagogicko-psychologické přístupy, modely, výzkumy a jejich vztah ke školské praxi. Praha: Univerzita Karlova v Praze, Pedagogická fakulta, 2005, 209 s. ISBN 807290213X. info
  • Dvacet pět kapitol z didaktiky matematiky. Edited by Milan Hejný - Jarmila Novotná - Naďa Vondrová. Praha: Univerzita Karlova v Praze - Pedagogická fakulta, 2004, s. 213-455. ISBN 8072901893. info
  • BĚLOUN, František. Sbírka úloh z matematiky pro základní školu. 8. upr. vyd. Praha: Prometheus, 1998, 254 s. ISBN 80-7196-104-3. info
Teaching methods
Lecture, workshops, discussion
Assessment methods
Portfolio, final written test (minimum 60% success rate), oral exam.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2019, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (autumn 2020, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2020/MA0010