Sadržaji statistike i vjerojatnosti u matematičkim udžbenicima u primarnom obrazovanju

master's thesis

• Title (english): Statistics and probability in mathematics textbooks for primary education
• Author: Ivana Krljan
• Mentor: Dubravka Glasnović-Gracin (mentor)
• Committee member: Marko Ćaleta (predsjednik povjerenstva)
• Committee member: Dubravka Glasnović-Gracin (član povjerenstva)
• Committee member: Krešo Tomljenović (član povjerenstva)
• Granter: University of Zagreb; Faculty of Teacher Education; Zagreb
• Defense date and country: 2023-07-06, Croatia
• Scientific / art field, discipline and subdiscipline: SOCIAL SCIENCES; Pedagogy; Didactics
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Interdisciplinary Natural Sciences; Teaching Methods in the Natural Sciences
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics; Probability Theory and Statistics

Abstract

Razvojem matematike kao znanosti, dolazi do sve većih implementacija matematičkog sadržaja u obrazovanje, ali i neizostavne primjene matematike u svakodnevnom životu. Statistika i vjerojatnost su jedne od grana matematike koje do nedavno nisu bile uključene u osnovnoškolsko obrazovanje u razrednoj nastavi. Stupanjem na snagu Cjelovite kurikularne reforme u jesen 2019. godine, sadržaj statistike je uveden u nastavu od prvog razreda, a sadržaj vjerojatnosti od drugog razreda primarnog obrazovanja pod E domenom – Podatci, statistika i vjerojatnost. Realizacijom svih ishoda iz navedene domene iz dokumenta Kurikulum nastavnog predmeta matematika za osnovne i srednje škole, smatra se kako će učenik moći koristiti opće karakteristike statistike i vjerojatnosti u svakodnevnom životu. Ostvarenjem ishoda iz statistike pretpostavlja se kako će učenik moći prikupljati, čitati, tumačiti i prikazivati podatke na razne načine (tablica, piktogram, stupčasti dijagram). Nadalje, ostvarenjem ishoda iz vjerojatnosti kod učenika se razvijaju kompetencije u određivanju mogućnosti događaja. Cilj ovog rada bio je istražiti kako se ishodi iz kurikuluma za domenu Podatci, statistika i vjerojatnost reflektiraju u svim aktualnim matematičkim udžbenicima od 1. do 4. razreda osnovne škole. S obzirom na postojeća obilježja o podjeli vrsta zadataka, cilj je bio istražiti i zastupljenost zadataka prema navedenoj podjeli. Nakon provedbe kvantitativnog istraživanja utvrđeno je kako su zadatci iz domene Podatci, statistika i vjerojatnost vrlo malo zastupljeni u svim analiziranim matematičkim udžbenicima. Također, u rezultatima istraživanja su navedeni postotci o zastupljenosti ishoda u matematičkim udžbenicima te o zastupljenosti pojedinih vrsta zadataka.

Abstract (english)

As mathematics has progressed as a scientific field, there has been a growing emphasis on incorporating mathematical concepts into education, as well as an increase in the practical application of mathematics in everyday life. Statistics and probability are branches of mathematics that were not a part of lower primary education until recently. With the implementation of the Comprehensive Curriculum Reform in the autumn of 2019, statistics were introduced into the curriculum from the first grade, and probability from the second grade of primary education as a part of the E domain - Data, Statistics, and Probability. Based on the Curriculum for the Subject Mathematics in Primary and Secondary Schools achieving all the outcomes from the domain implies that the students will be able to use the common features of statistics and probability in their everyday lives. Achieving the outcomes concerning statistics suggests that the students will be able to collect, read, interpret, and present data in various ways (tables, pictograms, bar graphs). Moreover, achieving the outcomes in connection to probability implies that students will be able to develop competences in determining the likelihood of events. The aim of this research was to determine how the aims and outcomes from the curriculum domain Data, Statistics, and Probability are implemented in all mathematics textbooks currently used in primary schools from the first to the fourth grade. Additionally, the aim was to investigate the distribution of tasks considering the existing characteristics of task classification. The analysis of various mathematics textbooks revealed a scarcity of tasks related to Data, Statistics, and Probability, according to qualitative research conducted on the materials. Furthermore, the presented research results include percentages of outcome representation and the distribution of several task types in mathematics textbooks.

• Keywords: statistika; vjerojatnost; matematički udžbenici u primarnom obrazovanju; ishodi; vrste zadataka
• Keywords (english): statistics; probability; mathematics textbooks in primary education; outcomes; types of task
• Language: croatian
• URN:NBN: urn:nbn:hr:147:660281
• Study programme: Title: Integrated Undergraduate and Graduate University Programme of Study of Primary Teacher Education and Integrated Undergraduate and Graduate University Programme of Study for Primary Teacher Education with English and German Language; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: magistar/magistra primarnog obrazovanja (magistar/magistra primarnog obrazovanja)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2023-07-18 11:26:47