Proceedings of the University of Muhammadiyah Malang's 1st International Conference of Mathematics Education (INCOMED 2017)

Some "Illegal Reasoning" of the First Year Undergraduate Students in Constructing Formal Proof

Authors
Hendarto Cahyono, Abdur Rahman, Toto Nusantara
Corresponding Author
Hendarto Cahyono
Available Online January 2018.
DOI
10.2991/incomed-17.2018.13How to use a DOI?
Keywords
formal proof, difficulties; proof construction; associative property, illegal reasoning
Abstract

This paper describes the difficulties and type of illegal reasoning of novice students in formulating formal proof specially on the associative property of addition operation of rational numbers. Although the problem is not so hard but for beginner students is not the case. The participants are first year students at University of Muhammadiyah Malang on second semester. Subjects are chosen based on answers that show difficulty in establishing verification related to conceptual understanding, referential reasoning, and organization of proof-writing. The framework that was used to analyze students' proof comprehension and construction actions and contributions, particularly their completeness and type of reasoning, is described in the paper. The findings of the study resonate closely with those of researchers in the developed world. Students' difficulties with how to begin proof, understanding of the rules and nature of proof, conceptual understanding, and proof techniques and strategies. Related with illegal reasoning, a novice student indicated generic reasoning, unable to make generalization, circular reasoning, and non-referential reasoning.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Volume Title
Proceedings of the University of Muhammadiyah Malang's 1st International Conference of Mathematics Education (INCOMED 2017)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
January 2018
ISBN
978-94-6252-494-1
ISSN
2352-5398
DOI
10.2991/incomed-17.2018.13How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Hendarto Cahyono
AU  - Abdur Rahman
AU  - Toto Nusantara
PY  - 2018/01
DA  - 2018/01
TI  - Some "Illegal Reasoning" of the First Year Undergraduate Students in Constructing Formal Proof
BT  - Proceedings of the University of Muhammadiyah Malang's 1st International Conference of Mathematics Education (INCOMED 2017)
PB  - Atlantis Press
SP  - 60
EP  - 65
SN  - 2352-5398
UR  - https://doi.org/10.2991/incomed-17.2018.13
DO  - 10.2991/incomed-17.2018.13
ID  - Cahyono2018/01
ER  -