Induktivno zaključivanje u nastavi matematike u osnovnoj školi

master's thesis

• Title (english): Inductive reasoning in mathematics teaching in primary school
• Author: Lucija Zoretić
• Mentor: Sanja Varošanec (mentor)
• Committee member: Sanja Varošanec (predsjednik povjerenstva)
• Committee member: Tomislav Pejković (član povjerenstva)
• Committee member: Igor Ciganović (član povjerenstva)
• Committee member: Marko Horvat (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2020-12-01, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Induktivno zaključivanje je promatranje niza slučajeva sa ciljem da se uoči njima ono zajedničko kako bi se to zajedničko istaknulo te dokazivanjem postalo svojstvo. U ovom diplomskom radu, na početku manjih poglavlja, navedena su svojstva ili pojmovi neophodni za provođenje same aktivnosti bilo da su istaknuti ishodi iz Predmetnog kurikuluma [20] koji su vezani uz određenu aktivnost, navedeno predznanje ili su temeljni pojmovi opisani, odnosno definirani. Unutar većine aktivnosti nalaze se nastavni listići koji učenicima pomažu u oblikovanju induktivnog zaključivanja, a unutar nekih aktivnosti nalaze se motivacijski primjeri uvođenja aktivnosti, metodički komentari, objašnjenja matematičkih pojmova ili heuristički razgovor o tvrdnji ili dokazu svojstva. Dijelovi matematičkog sadržaja u kojima je također moguće koristiti metodu induktivnog zaključivanja, a u svojim aktivnostima su slični nekima od prethodno navedenih aktivnosti u radu, nisu opisani, već je napomenuto da bismo ih analognim aktivnostima mogli provesti. Takoder, neke aktivnosti su opisane ukratko ukoliko je njihovo svojstvo istaknuto zbog svoje očiglednosti tijekom prikaza i manjeg broja primjera. Nakon opisa aktivnosti, navode se definicije pojmova, iskazi i dokazi otkrivenih svojstava ili se prelazi na obradu nove aktivnosti.

Abstract (english)

Inductive reasoning is observing the series of cases to notice the common property in order to be featured and set as a rule after carrying out its proof. In this work, at the beginning of sections, there are theorems or concepts required for description of activities whether they are featured curriculum outcomes [20] that are related to the certain activity, stated important knowledge or main concepts described, therefore defined. Within most of activities, there are worksheet that help students to form inductive reasoning and within some of activities, there are motivational examples, methodical notes, explanation of mathematics concepts or heuristic technique to explain the statement of theorem or its proof. Parts of mathematics content in which inductive reasoning is also usable and have activities that are similar to the some of previously exposed activities within this work, are not described, but referred as similar activities of the idea of their implementation. Some activities are also described in short if their rule is featured due to its obviousness during representation of even fewer examples. After the description of the activity, there are definitions of concepts, statements or proofs of theorems or the new activity is introduced.

• Keywords: induktivno zaključivanje; Predmetni kurikulum; nastavni listići
• Keywords (english): inductive reasoning; curriculum; worksheet
• Language: croatian
• URN:NBN: urn:nbn:hr:217:484760
• 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: 2021-02-25 11:03:53