About this paper

Appears in:
Pages: 6024-6030
Publication year: 2017
ISBN: 978-84-697-3777-4
ISSN: 2340-1117
doi: 10.21125/edulearn.2017.2364

Conference name: 9th International Conference on Education and New Learning Technologies
Dates: 3-5 July, 2017
Location: Barcelona, Spain

EXAMINATION OF FRACTION CONCEPT FORMATION USING STATISTICAL IMPLICATIVE ANALYSIS

L. Klimentová, Ľ. Rybanský

Constantine The Philosopher University in Nitra (SLOVAKIA)
The article presents a qualitative analysis of special fraction test developed by Cypriot researches Marilena Pantziara and George Philippou. The test consists of 21 tasks in seven groups focus on part-whole and measure subconstructs of fractions together with the notions of equivalence, comparison and addition of fractions and in three columns which represents each level of Sfards´ theory of reification. We have translated, modified and adapted this test to the Slovak conditions. We focused on examination of statements of Kieren (1981), Smith (2002), Behr et al. (1983) that at first students need to master the notions of order and equivalence of fractions to fully understand to measure personality of fraction. And then they also need to master measure personality of fraction to master additive operations on fractions on each level of Sfards´ theory of reification. The part–whole subconstruct is considered fundamental for developing understanding of the other four subconstructs. For analysing of these statements we used the SIA (Statistical Implicative Analysis) method. Based on results of the SIA analysis we can conclude that the statements were confirmed for interiorization stage and partially for the other two stages. Our research sample consist of 113 first year Bachelor students of Teacher Training for Preschool and Elementary Education within the subject Relations and Operations with Numbers and 49 first year Master students of Teacher Training for Primary Education within the subject Didactics of Mathematics at Constantine the Philosopher University in Nitra. The data was collected in February and March 2016.
@InProceedings{KLIMENTOVA2017EXA,
author = {Klimentov{\'{a}}, L. and Rybanský, Ľ.},
title = {EXAMINATION OF FRACTION CONCEPT FORMATION USING STATISTICAL IMPLICATIVE ANALYSIS},
series = {9th International Conference on Education and New Learning Technologies},
booktitle = {EDULEARN17 Proceedings},
isbn = {978-84-697-3777-4},
issn = {2340-1117},
doi = {10.21125/edulearn.2017.2364},
url = {http://dx.doi.org/10.21125/edulearn.2017.2364},
publisher = {IATED},
location = {Barcelona, Spain},
month = {3-5 July, 2017},
year = {2017},
pages = {6024-6030}}
TY - CONF
AU - L. Klimentová AU - Ľ. Rybanský
TI - EXAMINATION OF FRACTION CONCEPT FORMATION USING STATISTICAL IMPLICATIVE ANALYSIS
SN - 978-84-697-3777-4/2340-1117
DO - 10.21125/edulearn.2017.2364
PY - 2017
Y1 - 3-5 July, 2017
CI - Barcelona, Spain
JO - 9th International Conference on Education and New Learning Technologies
JA - EDULEARN17 Proceedings
SP - 6024
EP - 6030
ER -
L. Klimentová, Ľ. Rybanský (2017) EXAMINATION OF FRACTION CONCEPT FORMATION USING STATISTICAL IMPLICATIVE ANALYSIS, EDULEARN17 Proceedings, pp. 6024-6030.
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