Syllabus
• statistical surveys, their properties, conditions and methods, statistical data acquisition strategies, questionnaires
• statistical data processing, tables, graphs, characteristics
• didactic aspects of statistical surveys, statistical data sources, choice of methods, historical excursion
• statistical data processing in the program Excel
• types of statistical data, normality and other properties, detection of outliers
• didactic approaches to teaching probability, frequency, propensity, logical, subjective interpretations of probability, choice of methods, historical excursion
• principles of independence, conditional probability, Bayes' formula
• textbook of statistics and probabilities, terminological problems, internet resources for teaching statistics
• basics of inferential statistics, hypothesis testing principle, K. Popper method of falsification, research approach
• comparison of data groups (two-sample tests, ANOVA)
• relationship of data groups (correlation, regression)
• work with categorical data, contingency tables
Annotation
There are two reasons why statistics courses are important for mathematics teachers. First, statistical concepts and elements of probability are included to subjects of primary and secondary schools, and statistical literacy is one of the required competencies of pupils/students.
In addition, statistical methods can serve as a useful tool in the teacher's own work, consisting of pedagogical research presentation, evaluation or comparison. This course is focused mainly on the didactic aspects of teaching statistics and the applications of these tools in pedagogical surveys.
The course is realized by seminars and discussions form. Solutions of problems and questions emphasis independent preparation and own thinking of students.