Proceedings of the 2016 International Conference on Mathematics and Science Education

Mathematical Inductive-Creative Reasoning, A Theoretical Study

Authors
Robiah Adawiyah, Abdul Muin, Khairunnisa Khairunnisa
Corresponding Author
Robiah Adawiyah
Available Online January 2017.
DOI
10.2991/icmsed-16.2017.53How to use a DOI?
Keywords
Reasoning, mathematical inductive-creative reasoning, Creative Generalization, Creative Analogies, and Creative Patterns
Abstract

Reasoning is one of ability that should be developed on students' mathematics learning process. Through reasoning students are expected to know that mathematics is not to rote the formulas but to understand, prove and make conclusion. This article discusses about students' mathematical inductive-creative reasoning ability, a mathematical study result from several sources. Inductive reasoning is the process of thinking based on specific data and lead to the general conclusion, while the creative reasoning is based on Lithner's theoretical framework that divides the two reasoning, they are creative reasoning and imitative reasoning. The results of this study formulate three indicators of mathematical inductive-creative reasoning abilities, such as creative generalization, creative analogies, and creative patterns.

Copyright
© 2017, 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/).

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Volume Title
Proceedings of the 2016 International Conference on Mathematics and Science Education
Series
Advances in Social Science, Education and Humanities Research
Publication Date
January 2017
ISBN
10.2991/icmsed-16.2017.53
ISSN
2352-5398
DOI
10.2991/icmsed-16.2017.53How to use a DOI?
Copyright
© 2017, 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  - Robiah Adawiyah
AU  - Abdul Muin
AU  - Khairunnisa Khairunnisa
PY  - 2017/01
DA  - 2017/01
TI  - Mathematical Inductive-Creative Reasoning, A Theoretical Study
BT  - Proceedings of the 2016 International Conference on Mathematics and Science Education
PB  - Atlantis Press
SP  - 247
EP  - 251
SN  - 2352-5398
UR  - https://doi.org/10.2991/icmsed-16.2017.53
DO  - 10.2991/icmsed-16.2017.53
ID  - Adawiyah2017/01
ER  -