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Teaching mathematics with the support of outdoor elements
Smetanová, Eliška ; Jirotková, Darina (advisor) ; Slezáková, Jana (referee)
The thesis deals with outdoor teaching of mathematics at primary school level. It develops the current interest in outdoor teaching using current innovative learning methods. Its focus is to serve as an inspirational resource for teaching mathematics in the area where a pupil grows up and, on the contrary, to learn about his surroundings through teaching mathematics. It relies partly on teaching via schema-oriented education, but seeks to demonstrate the benefits of outdoor teaching regardless of the style of teaching. It describes and analyzes the specific features, benefits and challenges associated with outdoor learning. The work uses Czech and foreign sources to familiarize the reader with the basic phenomena that arise in connection with the learning process. Their role is pointed out on specific outdoor activities. Detailed analyzes of these activities work in the broader sense as examples of how to lead pupils to enjoy understanding mathematical laws in a non-school environment.
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Teaching mathematics - schema oriented education in outdoor environment
Mladá, Lada ; Slezáková, Jana (advisor) ; Hejný, Milan (referee) ; Jirotková, Darina (referee)
This thesis deals with teaching mathematics - schema oriented education in outdoor environment. It seeks advantages of outdoor education and tries to apply them fully in an innovative way of teaching mathematics for primary schools. It connects the innovative methods of teaching mathematics with our nature, in a peaceful and natural way. Nature is not just an expanded space for learning but it is the means of achieving more effective learning. The thesis informs the reader about the history of outdoor education and it enables deeper understanding of nature's potential and its role in education. It takes advantage of Czech and foreign resources on the matter. The thesis wants to enlighten mathematics students and teachers about the positives of outdoor education by providing a collection of ideas, including their real-life realization and their self- reflection, in the form of prepared mathematics outdoor education material. KEYWORDS Substantial Learning Environment, Schema-oriented Education, Outdoor Education, Outdoor Mathematics
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Mathematical Environments Mazes and Cycle Path with Primary School Pupils
Bartoňová, Jana ; Slezáková, Jana (advisor) ; Kloboučková, Jaroslava (referee)
The diploma thesis deals with the mathematical environments Mazes and Cycle Paths. The first part is concerned with the definition of two opposite educational styles, transmissive and constructivistic. Within the constructivistic educational style it is also focused on schema-oriented education and on defining its principles for teaching mathematics by Hejný's method. It also introduces a new term genetic constructivism - its author proves that Hejný's mathematics and its didactic environments are embedded in ancient history. This diploma thesis gives an answer to the question of why the environments Mazes and Cycle Paths belong to the teaching of mathematics, and therefore, on what mathematical basis it stands. It is for this reason that it provides insight into the fundamentals of graph theory. It is focused on the historical aspect of terms maze and cycle path and charts exercises in Hejný's textbooks of mathematics from environments Mazes and Cycle Paths. The aim of research is to expand the collection of exercises from these two environments, to chart pupils' solving strategies and identify effective teaching methods in accordance with the schema-oriented education, which has been studied in seven experiments. The last part of this diploma thesis presents a didactic game, which is focused on...
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Graspig arithmetic learning environments by children (age 5-7) in kindergarten
Šubrtová, Eva ; Slezáková, Jana (advisor) ; Hejný, Milan (referee)
thesis: Children of pre-school age are entering stage of structural change of thinking. The way how they grasp solving mathematical tasks reflects whether these changes have already started. This work surveys visible intellectual outputs in the group of 20 children who passed set of experimental tasks at arithmetic learning environments "Stepping" and "Bus". Children were subsequently subjected to pedagogical diagnostics and results of this investigation and carried experiments were trade off. From comparison it can be concluded that results of both surveys correspond enough to facilitate the application of selected mathematical tasks as pedagogical diagnostic tools.
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