Bilangan Bulat dan Kekeliruan dalam Operasi Matematika

Zahedi Zahedi (Program Studi Matematika, F. MIPA Universitas Sumatera Utara, Indonesia)

Abstract


The challenge of Mathematics education is to find and choose learning models that are easy to understand, arousing, challenging to get involved in and eventually make students understand easily. This paper intends to be a bridge in the process of teaching and learning of integers and mathematical fallacies that often occur in mathematical operations. Integers play an important role in the development of mathematical knowledge and the use of these numbers enables the current generation to build space satellites and investigate the structure of the universe. Integers often look very simple but are actually very difficult to solve. On the other hand, carelessness in completing mathematical operations often results to fallacies that can cause ridiculousness. This paper is trying to review these two problems in an easy and fun way.

Keywords


learning model; integers; mathematical fallacies; mathematics operation; bridge

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References


Pickover, C.A. (2001). Wonders of Numbers, Adventures in Mathematics, Mind, and Meaning, Oxford University Press.

Ryan D. Enos, Anthony Fowler, and Christopher S. Havasy. (2017). The Negative Effect Fallacy: A Case Study of Incorrect Statistical Reasoning by Federal Courts. Journal of Empirical Legal Studies, 14(3), 618–647.

Maxwell, E.A. (1963). Fallacies in mathematics, Cambridge at the university press.

Mary Mueller and Dina Yankelewitz. (2014). Fallacious argumentation in student reasoning: Are there benefits?. European Journal of Science and Mathematics Education, 2(1).

Anant Godbole, Zach Higgins, Zoe Koch. (2018). Finite Representability of Integres as 2-Sums. Integers 18B.

Francisco Vargas, Tommaso Benincasa, Giuseppe Cian, Laura Martignon. (2019). Fostering Probabilistic Reasoning Away from Fallacies: Natural Information Formats and Interaction between School Levels. International Electronic Journal of Mathematics Education e-ISSN: 1306-3030. 2019, 14(2), 303-330.

Yong Lu. (2016). The Conjunction and Disjunction Fallacies: Explanations of the Linda Problem by the Equate-to-Differentiate Model. Springerlink.com. Integr Psych Behav (2016) 50:507–531. DOI 10.1007/s12124-015-9314-6.

Maurice A.Finocchiaro. (2015). The fallacy of composition: Guiding concepts, historical cases, and research problems. Journal of Applied Logic 13, 24–43.

Rachel Croson and James Sundali. (2005). The Gambler’s Fallacy and the Hot Hand: Empirical Data from Casinos. The Journal of Risk and Uncertainty, 30(3), 195–209.

James E. Ciecka & Gary R. Skoog. (2018). Life Expectancies and Annuities: A Modern Look at an Old Fallacy. Journal Mathematics Magazine, 91(3), 163-170.

Mathematecian Leopold Kronecker. Retrieved from :

http://mathshistory.st-andrews.ac.uk/Biographies/Kronecker.html

Trzeciak, J. (1995). Writing mathematical papers in english, a practical guide. European mathematical society, Germany.

Johann Carl Friedrich Gauss. Retrieved from:

http://mathshistory.st-andrews.ac.uk/Biographies/Gauss.html

Edward N. Zalta. (1999). Natural Numbers and Natural Cardinals as Abstract Objects: A Partial Reconstructionof Frege’s Grundgesetzein Object Theory. Journal of Philosophical Logic, 619–660.

Jun-Ling Sun and Chao-Ping Chen. (2016). Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions. Journal of Inequalities and Applications, DOI 10.1186/s13660-016-1157-2.

Georgios Spithourakis and Sebastian Riedel. (2018). Numeracy for Language Models: Evaluating and Improving their Ability to Predict Numbers. Proceedings of the 56th Annual Meeting of the Association for Computational Linguistics, 1, 2104-2115.

Petr Girg and Lukáš Kotrla. (2016). 𝑝-Trigonometric and 𝑝-Hyperbolic Functions in Complex Domain. Abstract and Applied Analysis, 2016, Article ID 3249439, 18 pages. http://dx.doi.org/10.1155/2016/3249439.




DOI: https://doi.org/10.24952/logaritma.v7i02.2115

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