Course: Mathematics and Methodology 3

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Course title Mathematics and Methodology 3
Course code KMT/TM3Q
Organizational form of instruction Lecture + Exercise + On-line Activities
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Dofková Radka, doc. PhDr. Ph.D.
  • Uhlířová Martina, RNDr. Ph.D.
  • Bártek Květoslav, Mgr. Ph.D.
  • Bártková Eva, Mgr. Ph.D.
  • Eberová Jindřiška, RNDr.
Course content
The aim of the course is to provide the students with a professional view of primary school mathematics curriculum, with special attention to: - natural numbers in decimal and p-adic representations, operations in decimal and p-adic number systems, - conversion of natural numbers from one number system to another, - divisibility in a set of integral numbers, divisibility rules, division with remainder, - extension of number fields (from natural to integral, rational, and real numbers).

Learning activities and teaching methods
Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
  • Homework for Teaching - 14 hours per semester
  • Attendace - 26 hours per semester
  • Semestral Work - 6 hours per semester
Learning outcomes
Course objectives: - to familiarize the students with the representations of natural numbers in various number systems and with the operations in these systems, - to introduce the construction of various number structures to the students.
The knowledge gained in the TMA3 course of study is a prerequisite to successful studies in other subjects and shall be applied in the students´ teaching practice.
Prerequisites
The successful completion of the course is conditioned by the mastery of basic mathematical skills acquired in the TMA1, TMA2 courses of study.

Assessment methods and criteria
Mark, Oral exam, Didactic Test, Seminar Work

Active participation in seminars,60% success rate in mid-term tests, preparation and submission of a seminar paper.
Recommended literature
  • Bártková, E. (2013). Matematika 3. Olomouc: UP.
  • Cotton, T. (2013). Understanding and Teaching Primary Mathematics. Edinburg: Pearson.
  • DRÁBEK, J. a kol. (1985). Základy elementární aritmetiky pro studium učitelství 1. st. ZŠ. Praha.
  • Eberová, J. (2006). Základy matematiky 6. Olomouc: Vydavatelství UP.
  • Fox, S., Surtees, L. (2010). Mathematics Across the Curriculum. London.
  • Kirkby, D. (1986). Investigation Bank Book 5, 7, 17. Shefiield: Dickens a Son.
  • Kline, M. (1998). Mathematics for the Nonmathematician. New York: Dover Pub.
  • Novák, B., Eberová, J., Stopenová, A. (2004). Základy elementární matematiky v úlohách. Olomouc.
  • Perný, J. (2009). Kapitoly z elementární aritmetiky II.. Liberec: TU.
  • Perný, J. (2010). Kapitoly z elementární aritmetiky I.. Liberec: TU.
  • Pound, L., Lee, T. (2011). Teaching Mathematics Creatively. New York.
  • Schuster, L., Anderson, N., C. (2005). Good Questions for Math Teaching. California: Sausalito.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Teaching primary school classes 1 through 5 and special education (MD18) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Teaching primary school classes 1 through 5 and special education (MD17) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Teaching primary school classes 1 through 5 and special education (MD16) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter