|
|
On sphere
Ivan, Matúš ; Bečvářová, Martina (advisor) ; Surynková, Petra (referee)
This diploma thesis describes historical evolution of calculation of sphere's volume and surface and provides an analysis of textbooks for secondary and primary schools. It is made with the intention to inspire high school teachers with various approaches of teaching the volume and surface of solid bodies. It can help teachers with motivation of students as well as with selection of textbook and teaching methods for the issue. This thesis is meant to inspire high school students interested in history of mathematics, too. It includes analysis of preserved exercises on the topic from ancient Egypt and Mesopotamia as well as findings from Archimedes' works, which were devoted to this topic. Moreover it describes contribution of enlighteners on the subject and shows exact procedures of derivation of formulas using integral calculus.
|
|
|
Volume and surface of sphere
Ivan, Matúš ; Bečvářová, Martina (advisor) ; Halas, Zdeněk (referee)
This work presents historical development in methods of calculating volume and surface of a sphere. It's made for high school teachers as a resource for teaching about volume and surface of solids and for high school students who developed interest in historical outlook for this theme. It contains description of particular preserved tasks from ancient Egypt and Mesopotamia. It compares precision of particular approaches taking into account the precision of the constant π. It analyses proofs of facts about volume and surface of sphere from ancient Greece. It describes assets of enlighteners for this theme and shows exact approaches for deducing the formulas for calculating volume and surface of a sphere.
|
|
|
Modelling students' conceptions on chemical principles using mathematics
Ivan, Matúš
Key words mathematical modelling, chemical principles, shape and structure of the molecules, visualisation of chemical structures, chemistry and mathematics interdisciplinarity Ivan, Matúš: Modelling students' conceptions on chemical principles using mathematics. (Ph.D. Thesis). Prague: Faculty of Science, Charles University, 2018. Abstract The primary aims of the dissertation project is identification of "contact areas" of subjects of chemistry and mathematics and creation of interventions to solve the problems of chosen areas. At first, it was necessary to analyse available literature by the authors from the field, that have mentioned the problematics of interdisciplinarity between mathematics and chemistry. A part of literature research was dedicated to a search for the expected outcomes in curricular documents in Czech Republic and in Slovak Republic. In Czech Republic these were Framework Educational Programmes (RVP ZV, 2017 a RVP G, 2007). In Slovak Republic thee documents are State Educational programme ISCED 2 - lower secondary education (2015) and State Educational programme ISCED 3A - upper secondary education (2015). After that the analysis of a sample of School educational programmes of chosen schools in Czech Republic was conducted. The sample was chosen through proportional stratified...
|
|
|
Modelling students' conceptions on chemical principles using mathematics
Ivan, Matúš
Key words mathematical modelling, chemical principles, shape and structure of the molecules, visualisation of chemical structures, chemistry and mathematics interdisciplinarity Ivan, Matúš: Modelling students' conceptions on chemical principles using mathematics. (Ph.D. Thesis). Prague: Faculty of Science, Charles University, 2018. Abstract The primary aims of the dissertation project is identification of "contact areas" of subjects of chemistry and mathematics and creation of interventions to solve the problems of chosen areas. At first, it was necessary to analyse available literature by the authors from the field, that have mentioned the problematics of interdisciplinarity between mathematics and chemistry. A part of literature research was dedicated to a search for the expected outcomes in curricular documents in Czech Republic and in Slovak Republic. In Czech Republic these were Framework Educational Programmes (RVP ZV, 2017 a RVP G, 2007). In Slovak Republic thee documents are State Educational programme ISCED 2 - lower secondary education (2015) and State Educational programme ISCED 3A - upper secondary education (2015). After that the analysis of a sample of School educational programmes of chosen schools in Czech Republic was conducted. The sample was chosen through proportional stratified...
|
|
|
Modelling students' conceptions on chemical principles using mathematics
Ivan, Matúš ; Šulcová, Renata (advisor) ; Ganajová, Mária (referee) ; Nodzynska, Malgorzata (referee)
Key words mathematical modelling, chemical principles, shape and structure of the molecules, visualisation of chemical structures, chemistry and mathematics interdisciplinarity Ivan, Matúš: Modelling students' conceptions on chemical principles using mathematics. (Ph.D. Thesis). Prague: Faculty of Science, Charles University, 2018. Abstract The primary aims of the dissertation project is identification of "contact areas" of subjects of chemistry and mathematics and creation of interventions to solve the problems of chosen areas. At first, it was necessary to analyse available literature by the authors from the field, that have mentioned the problematics of interdisciplinarity between mathematics and chemistry. A part of literature research was dedicated to a search for the expected outcomes in curricular documents in Czech Republic and in Slovak Republic. In Czech Republic these were Framework Educational Programmes (RVP ZV, 2017 a RVP G, 2007). In Slovak Republic thee documents are State Educational programme ISCED 2 - lower secondary education (2015) and State Educational programme ISCED 3A - upper secondary education (2015). After that the analysis of a sample of School educational programmes of chosen schools in Czech Republic was conducted. The sample was chosen through proportional stratified...
|
|
|
On sphere
Ivan, Matúš ; Bečvářová, Martina (advisor) ; Surynková, Petra (referee)
This diploma thesis describes historical evolution of calculation of sphere's volume and surface and provides an analysis of textbooks for secondary and primary schools. It is made with the intention to inspire high school teachers with various approaches of teaching the volume and surface of solid bodies. It can help teachers with motivation of students as well as with selection of textbook and teaching methods for the issue. This thesis is meant to inspire high school students interested in history of mathematics, too. It includes analysis of preserved exercises on the topic from ancient Egypt and Mesopotamia as well as findings from Archimedes' works, which were devoted to this topic. Moreover it describes contribution of enlighteners on the subject and shows exact procedures of derivation of formulas using integral calculus.
|
|
|
Volume and surface of sphere
Ivan, Matúš ; Bečvářová, Martina (advisor) ; Halas, Zdeněk (referee)
This work presents historical development in methods of calculating volume and surface of a sphere. It's made for high school teachers as a resource for teaching about volume and surface of solids and for high school students who developed interest in historical outlook for this theme. It contains description of particular preserved tasks from ancient Egypt and Mesopotamia. It compares precision of particular approaches taking into account the precision of the constant π. It analyses proofs of facts about volume and surface of sphere from ancient Greece. It describes assets of enlighteners for this theme and shows exact approaches for deducing the formulas for calculating volume and surface of a sphere.
|
guest ::
RSS feed.