About this paper

Appears in:
Pages: 6884-6890
Publication year: 2017
ISBN: 978-84-617-8491-2
ISSN: 2340-1079
doi: 10.21125/inted.2017.1599

Conference name: 11th International Technology, Education and Development Conference
Dates: 6-8 March, 2017
Location: Valencia, Spain

MULTIPLE REPRESENTATIONS IN PROBLEM SOLVING WITH DIVISORS AND MULTIPLES

P. Montenegro, C. Costa, B. Lopes

Universidade de Trás-os-Montes e Alto Douro (PORTUGAL)
Multiple representations of a given mathematical object/concept are one of the biggest difficulties encountered by students. The aim of this study is to determine the impact of multiple representations on problem solving (strategy) with divisors and multiples. To do so, the following research question was stated: What is the impact of multiple representations (verbal, symbolic and visual ones) in problem solving (strategy) with divisors and multiples?
The methodology is qualitative. Data was collected from the answers given to four problems about multiples and divisors. The 17 students (aged between ten and 13) worked in groups of four or five elements each.
The results show that students varied the representations, using verbal, symbolic and visual ones, even for the same strategy. However it was not enough for students to recognize, in a new situation and in other context the divisors of a certain number. Thus, we conclude that variety of representations is not enough to students recognize in different representations the same mathematical object/concept, becoming necessary a greater variety of transformation of representations in Mathematics’ classes and more research about their characteristics.
@InProceedings{MONTENEGRO2017MUL,
author = {Montenegro, P. and Costa, C. and Lopes, B.},
title = {MULTIPLE REPRESENTATIONS IN PROBLEM SOLVING WITH DIVISORS AND MULTIPLES},
series = {11th International Technology, Education and Development Conference},
booktitle = {INTED2017 Proceedings},
isbn = {978-84-617-8491-2},
issn = {2340-1079},
doi = {10.21125/inted.2017.1599},
url = {http://dx.doi.org/10.21125/inted.2017.1599},
publisher = {IATED},
location = {Valencia, Spain},
month = {6-8 March, 2017},
year = {2017},
pages = {6884-6890}}
TY - CONF
AU - P. Montenegro AU - C. Costa AU - B. Lopes
TI - MULTIPLE REPRESENTATIONS IN PROBLEM SOLVING WITH DIVISORS AND MULTIPLES
SN - 978-84-617-8491-2/2340-1079
DO - 10.21125/inted.2017.1599
PY - 2017
Y1 - 6-8 March, 2017
CI - Valencia, Spain
JO - 11th International Technology, Education and Development Conference
JA - INTED2017 Proceedings
SP - 6884
EP - 6890
ER -
P. Montenegro, C. Costa, B. Lopes (2017) MULTIPLE REPRESENTATIONS IN PROBLEM SOLVING WITH DIVISORS AND MULTIPLES, INTED2017 Proceedings, pp. 6884-6890.
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