Proceedings of the 2017 2nd International Conference on Education, Management Science and Economics (ICEMSE 2017)

The Research on Characteristics of Good Mathematical Cognitive Structure Based on Flow-Map Method--Taking Function as an Example

Authors
Zhaohua Qu, Zezhong Yang
Corresponding Author
Zhaohua Qu
Available Online December 2017.
DOI
https://doi.org/10.2991/icemse-17.2017.52How to use a DOI?
Keywords
Good mathematical cognitive structure, Mathematics Proposition, Outstanding students in mathematics, Flow-map method
Abstract
This study was conducted to probe the features of mathematics knowledge and their connections in good mathematical cognitive structure (GMCS) with the flop-map method and the help of both function as material and 72 random senior one students as participants. This paper conducted flow-map interview and flow maps constructions, and then analyzed cognitive variables and knowledge processing strategies, knowledge details, recurrent linkages and misconceptions. The results indicated GMCS had several features. (1) It contained a relatively larger amount of more inclusive and abstract knowledge and knowledge about or focused closer on core concept. (2) It contained relatively more knowledge processed by higher-order conditional inferring and comparing and contrasting, as well as the radical defining. (3) It contained a larger amount of relatively more exact knowledge. (4) It contained more connections and was more compact and likely to be activated. (5) Connections contained in it were the ones between parallel knowledge as well as between inclusive knowledge. And (6) it excluded any misconceptions about connotation of core concept. Compared with most of existed researches, this paper quantitatively analyzed features of mathematics propositions and their linkages in GMCS with a new method, namely flow-map method.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

TY  - CONF
AU  - Zhaohua Qu
AU  - Zezhong Yang
PY  - 2017/12
DA  - 2017/12
TI  - The Research on Characteristics of Good Mathematical Cognitive Structure Based on Flow-Map Method--Taking Function as an Example
BT  - Proceedings of the 2017 2nd International Conference on Education, Management Science and Economics (ICEMSE 2017)
PB  - Atlantis Press
SP  - 208
EP  - 216
SN  - 2352-5428
UR  - https://doi.org/10.2991/icemse-17.2017.52
DO  - https://doi.org/10.2991/icemse-17.2017.52
ID  - Qu2017/12
ER  -