| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

Show document Help

Title:Spodbujanje strategij matematičnega utemeljevanja
Authors:ID Galun, Saša (Author)
ID Lipovec, Alenka (Mentor) More about this mentor... New window
Files:.pdf MAG_Galun_Sasa_2019.pdf (1,86 MB)
MD5: 8F1C81FAD6C5EEA61B312873A4C6E69D
PID: 20.500.12556/dkum/e1690b81-ffd7-4ee1-ab2e-ac7a17c2061c
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:PEF - Faculty of Education
Abstract:Matematično utemeljevanje je eden izmed načinov poučevanja matematike, pri katerem učenci svojim sošolcem utemeljujejo svoje ideje, mišljenje in poglede. Učenje skozi utemeljevanje temelji na teoriji simboličnega interakcionizma, ki poudarja, da posameznik spreminja svoje mišljenje in ideje na podlagi dejanj drugih. V magistrskem delu smo predstavili principe in strategije, ki spodbujajo utemeljevanje pri pouku matematike. Na osnovi pregleda literature navajamo nekatere izmed preizkušenih principov in strategij. Principi za spodbujanje matematičnega utemeljevanja so ustvarjanje konfliktne in sodelovalne situacije ter zagotavljanje pripomočkov za oblikovanje in preverjanje hipotez. Strategije, ki pomagajo učitelju zastaviti naloge za utemeljevanje, so naslednje: učenec mora izbrati stran, razkrivanje napačnih predstav učencev in priklic preteklih napačnih predstav. Takšen način poučevanja omogoča pridobivanje trajnejšega in kakovostnejšega znanja. V magistrskem delu smo s pomočjo preizkusa znanja ugotavljali, ali učenci utemeljijo svoj odgovor in na kakšen način. Zanimalo nas je tudi, ali na podano utemeljitev vpliva izbira odgovora in način razmišljanja učencev o enačaju. V raziskavo smo vključili 107 učencev 3. razreda. Pridobljene podatke smo obdelali s kvalitativnimi in kvantitativnimi metodami pedagoškega raziskovanja. Rezultati kažejo, da je večina učencev utemeljila svoj odgovor, vendar pa so bili le-ti zelo kratki. Ugotovili smo, da učenci povečini niso uporabljali grafičnih reprezentacij kot pomoč za utemeljitev. Raziskava je pokazala, da učenci o enačaju razmišljajo relacijsko ali operacijsko. Glede na pogostost pravilnega rezultata sklepamo, da so učenci, ki so o enačaju razmišljali relacijsko, pogosteje odgovorili pravilno, medtem ko so učenci z operacijskim razmišljanjem večkrat odgovorili nepravilno. Glede na način razmišljanja o enačaju smo opazili razlike tudi v pogostosti pojavitve tem. Rezultati so pokazali tudi, da je več učencev, ki so odgovorili pravilno, utemeljilo svoj odgovor, kot pa učencev, ki so odgovorili nepravilno. Prav tako se kažejo razlike v pogostosti pojavitve tem glede na odgovor učencev.
Keywords:matematika, utemeljevanje, strategije, osnovnošolci
Place of publishing:Maribor
Publisher:[S. Galun]
Year of publishing:2019
PID:20.500.12556/DKUM-73221 New window
UDC:51:37.091.3(043.2)
COBISS.SI-ID:24494088 New window
NUK URN:URN:SI:UM:DK:0OTVRDNB
Publication date in DKUM:17.04.2019
Views:1772
Downloads:279
Metadata:XML DC-XML DC-RDF
Categories:PEF
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share



Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:10.03.2019

Secondary language

Language:English
Title:Encouraging strategies of matehematical argumentation
Abstract:This master's thesis talks about argumentation in mathematics which is one of the ways to teach mathematics. By using it, pupils can argument either their ideas or ways of thinking and can explain how they see things. To begin with, teaching via argumentation is based on a theory of symbolic interactionism which emphasises that an individual changes his/her way of thinking and ideas on the basis of what others do. Firstly, this master's thesis presents principles and strategies which encourage argumentation in mathematics. Some of them are cited on the basis of the revision of literature. For example, principles to encourage argumentation in mathematics are: creating conflictive and cooperative situation and ensuring accessories to form and check hypotheses. Then, strategies, which help a teacher to give assignments for argumentation, are: choosing a page by pupils, revealing their wrong visualisations and recalling their wrong visualisations from the past. So, this way of teaching enables gaining more time-lasting and qualitative knowledge. Secondly, in this thesis there has been a school test used in order to find out if pupils give arguments for their answers and in which way. Moreover, the thesis has tried to answer the question if the choice of an answer and a way of thinking about equation play an important part when giving an argumentative answer. There have been one hundred and seven pupils from the third grade included in a survey. The gained data have been analysed with qualitative and quantitative methods of a pedagogical research. The results show that most of the pupils have explained their answers, however, in a short way. Next, it has been found out that pupils have mostly not used graphic presentations as help for argumentation. So, the survey has shown that pupils think about an equation either relationally or operationally. Moreover, pupils who have thought relationally, have had more correct answers in comparison to those who have thought operationally. Another thing that has been noticed, is the difference in appearance of topics. Those pupils who have answered correctly have given an argument for their answer rather than those who have answered wrongly. What is more, if we consider pupils’ answers, there can be differences in appearance of topics seen.
Keywords:mathematics, argumentation, strategies, primary school pupils


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica