|
|
Analysis of solutions and popularity of tasks from the Pangea competition
Vratislav, Milan ; Kaslová, Michaela (advisor) ; Novotná, Gabriela (referee)
The submitted bachelor's thesis deals with the relationship between the mathematical focus of tasks, success rate, popularity and point evaluation of tasks from the Pangea mathematical competition. The analysis refers to tasks for the 9th grade of the Pangea competition from the final round in the 2019/2020 school year, which took place a year later, in the 2020/2021 school year, due to the coronavirus pandemic. Determining the relationships between the investigated variables is based on quantitative research on problem solvers. Task success rate data was provided by Pangea competition management. The level of popularity of the tasks was determined based on data from the questionnaire, which is filled out annually by the solvers of the tasks immediately after submitting the solution. The characteristics and main focus of the tasks were described by the author of this work. The point evaluation of the tasks is determined by the authors of the tasks. The analysis of the tasks refers to their assignment, the expected solution procedure, the expected difficulties in the solution and comments on the answer menu. The thesis defines the terms gifted student, mathematical competition and word problem, and defines the specifics and mission of the Pangea competition. The results of the work can be used when...
|
|
|
Heuristic strategies of mathematical problem solving on lower secondary school
Přibyl, Jiří
The dissertation thesis deals with mathematical problem-solving at lower secon- dary level, as viewed from the perspective of heuristic strategies. The aim of the thesis is to comprehensibly summarize the results of research which began in 2012 and runs until now. The results concern both with theoretical and empirical parts of our research. This research study was conducted in fifteen lower secondary and upper secondary classes. Three dimensional classification of use of heuristic strategies and the structure of heuristic strategies' characteristics were developed by the author, and these constructs are presented in this work. The theory of mathematical problem and mathematical problem solving method is an integral part of this thesis too. Furthermore, the author presents a summary of all strategies used in the experiments; each strategy is fully described and illustrated by an appropriate example. The results of several short-term research studies (three months) and a longitudinal research study (sixteen months) are analysed in the empirical part of the thesis. This part also strives to find answers to several research questions, e.g.: " Could certain strategies be taught in a short-term period (three months)?", " Which strategies are suitable for an average pupil?" or " Are the pupils able to...
|
|
|
Heuristic strategies of mathematical problem solving on lower secondary school
Přibyl, Jiří
The dissertation thesis deals with mathematical problem-solving at lower secon- dary level, as viewed from the perspective of heuristic strategies. The aim of the thesis is to comprehensibly summarize the results of research which began in 2012 and runs until now. The results concern both with theoretical and empirical parts of our research. This research study was conducted in fifteen lower secondary and upper secondary classes. Three dimensional classification of use of heuristic strategies and the structure of heuristic strategies' characteristics were developed by the author, and these constructs are presented in this work. The theory of mathematical problem and mathematical problem solving method is an integral part of this thesis too. Furthermore, the author presents a summary of all strategies used in the experiments; each strategy is fully described and illustrated by an appropriate example. The results of several short-term research studies (three months) and a longitudinal research study (sixteen months) are analysed in the empirical part of the thesis. This part also strives to find answers to several research questions, e.g.: " Could certain strategies be taught in a short-term period (three months)?", " Which strategies are suitable for an average pupil?" or " Are the pupils able to...
|
|
|
Heuristic strategies of mathematical problem solving on lower secondary school
Přibyl, Jiří ; Roubíček, Filip (advisor) ; Jančařík, Antonín (referee) ; Odvárko, Oldřich (referee)
The dissertation thesis deals with mathematical problem-solving at lower secon- dary level, as viewed from the perspective of heuristic strategies. The aim of the thesis is to comprehensibly summarize the results of research which began in 2012 and runs until now. The results concern both with theoretical and empirical parts of our research. This research study was conducted in fifteen lower secondary and upper secondary classes. Three dimensional classification of use of heuristic strategies and the structure of heuristic strategies' characteristics were developed by the author, and these constructs are presented in this work. The theory of mathematical problem and mathematical problem solving method is an integral part of this thesis too. Furthermore, the author presents a summary of all strategies used in the experiments; each strategy is fully described and illustrated by an appropriate example. The results of several short-term research studies (three months) and a longitudinal research study (sixteen months) are analysed in the empirical part of the thesis. This part also strives to find answers to several research questions, e.g.: " Could certain strategies be taught in a short-term period (three months)?", " Which strategies are suitable for an average pupil?" or " Are the pupils able to...
|
guest ::
