Matematičke slagalice

master's thesis

• Author: Dora Babić
• Mentor: Franka Miriam Bruckler (mentor)
• Committee member: Franka Miriam Bruckler (predsjednik povjerenstva)
• Committee member: Sanja Varošanec (član povjerenstva)
• Committee member: Ljiljana Arambašić (član povjerenstva)
• Committee member: Matija Kazalicki (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2017-09-27, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovome radu matematika je predstavljena kao igra. Predstavljene su četiri matematičke slagalice: tangram, Sei Shōnagon Chie no Ita, stomahion te pentomino. Za svaku slagalicu navedena su svojstva i zanimljivosti, a naglasak je na najpoznatijoj slagalici, a to je tangram. Za tangram je dokazano da se od njegovih dijelova može složiti točno 13 konveksnih likova. U drugom dijelu rada dani su razni primjeri aktivnosti s matematičkim slagalicama koje se mogu provesti u nastavi.

Abstract (english)

In this thesis, mathematics is presented as a game. Four dissection puzzles are described: Tangram, Sei Shōnagon Chie no Ita, Stomachion and Pentomino. For each puzzle, we have described properties and certain curiosities, with emphasis on the most famous of them, the tangram. It is proved that exactly 13 convex shapes can be made from the tangram pieces. In the second part of the thesis, one can find different examples of classroom activities involving dissection puzzles.

• Keywords: matematička slagalica; tangram; Sei Shōnagon Chie no Ita; stomahion; pentomino; primjena u nastavi
• Keywords (english): mathematical game; tangram; Sei Shōnagon Chie no Ita; stomahion; pentomino; classroom activities; dissection puzzle
• Language: croatian
• URN:NBN: urn:nbn:hr:217:643579
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2017-10-17 09:30:41