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Article

A New Model of Mathematics Education: Flat Curriculum with Self-Contained Micro Topics

by 1,2,† and 3,*,†
1
Department of Mathematics, Eszterházy Károly University, 3300 Eger, Hungary
2
Faculty of Informatics, University of Debrecen, 4032 Debrecen, Hungary
3
Department of Mathematics and Natural Sciences, Akita International University, Yuwa, Akita 010-1292, Japan
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Rossella Lupacchini
Philosophies 2021, 6(3), 76; https://doi.org/10.3390/philosophies6030076
Received: 6 August 2021 / Revised: 4 September 2021 / Accepted: 8 September 2021 / Published: 13 September 2021
(This article belongs to the Special Issue Philosophy and Education of Mathematics and Computing)
The traditional way of presenting mathematical knowledge is logical deduction, which implies a monolithic structure with topics in a strict hierarchical relationship. Despite many recent developments and methodical inventions in mathematics education, many curricula are still close in spirit to this hierarchical structure. However, this organisation of mathematical ideas may not be the most conducive way for learning mathematics. In this paper, we suggest that flattening curricula by developing self-contained micro topics and by providing multiple entry points to knowledge by making the dependency graph of notions and subfields as sparse as possible could improve the effectiveness of teaching mathematics. We argue that a less strictly hierarchical schedule in mathematics education can decrease mathematics anxiety and can prevent students from ‘losing the thread’ somewhere in the process. This proposal implies a radical re-evaluation of standard teaching methods. As such, it parallels philosophical deconstruction. We provide two examples of how the micro topics can be implemented and consider some possible criticisms of the method. A full-scale and instantaneous change in curricula is neither feasible nor desirable. Here, we aim to change the prevalent attitude of educators by starting a conversation about the flat curriculum alternative. View Full-Text
Keywords: mathematics; education; philosophy of education; flat curriculum; micro topics; deconstruction; dependency graph mathematics; education; philosophy of education; flat curriculum; micro topics; deconstruction; dependency graph
MDPI and ACS Style

Hoffmann, M.; Egri-Nagy, A. A New Model of Mathematics Education: Flat Curriculum with Self-Contained Micro Topics. Philosophies 2021, 6, 76. https://doi.org/10.3390/philosophies6030076

AMA Style

Hoffmann M, Egri-Nagy A. A New Model of Mathematics Education: Flat Curriculum with Self-Contained Micro Topics. Philosophies. 2021; 6(3):76. https://doi.org/10.3390/philosophies6030076

Chicago/Turabian Style

Hoffmann, Miklós, and Attila Egri-Nagy. 2021. "A New Model of Mathematics Education: Flat Curriculum with Self-Contained Micro Topics" Philosophies 6, no. 3: 76. https://doi.org/10.3390/philosophies6030076

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