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Comparison of the approach to didactical environment by Erich Wittmann and in Genetic constructivism
Tuška, Jan ; Kvasz, Ladislav (advisor) ; Vondrová, Naďa (referee)
The aim of the thesis is primarily the comparison of takes on didactical environment between german didactic Erich Wittmann and movement called genetic constructivism. A little more content is dedicated to work of Erich Wittmann and the reader can make a solid image of what is his approach to teaching mathematics. Both approaches are first described theoretically from different points of view and are then demonstrated on examples from teacher handbooks and textbooks, including didactical commentary. Methodology of the thesis consisted of first studying theoretical content of both approaches and then finding relevant examples that represent applications of mentioned theoretical content in a clear way. The examples are taken from elementary and secondary grades of education. In the following part of the thesis, both approaches are compared next to each other with the help of relevant citations regarding following questions: communication in class, usage of instruments in education, role of the teacher, usage of learning environments for mathematics education and the genetic principle. In this comparison, the thesis demonstrates that both didactical environments have a lot in common - this is specified with commentary and summarized in final conclusions. As a distinct element of Wittmann's didactics...
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The idea of additive triad in primary school
Mottlová, Karolína ; Slezáková, Jana (advisor) ; Hejný, Milan (referee)
This thesis is focused on the idea of an additive triad in the 1st year of elementary school. Specifically, it addresses the problems of additive operations, their reading and writing, the commutative law, and the transition to an inverse additive operation. The objectives of the diploma thesis are two: - to find and to characterize the cognitive phenomena that occur in solving the tasks of addition and subtraction of small natural numbers, thus contributing to mapping the area of the pupil mental scheme of the additive triad. - to describe my own development in the field of research and experimentation. The content of the theoretical part is the research of professional literature, the commentary on the tasks in textbooks for the 1st year of three publishing houses and the description of the new didactic environment in Hejný's Method - Abaku. The practical part is devoted to the recording and description of cognitive phenomena, which appear in solving problems focused on additive operations in the work of pupils from the first years of three different elementary schools, and to a description of my mistakes that occurred during experimentation. The result of this diploma thesis are denominated and commented cognitive phenomena, which appeared in the solving strategies when solving the problems of...
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