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RESEARCH PAPER
Quadrilaterals hierarchical classification and properties of the diagonals: A study with pre-service mathematics teachers
1
Universidade Estadual de Londrina, Londrina, BRAZIL
2
UIDEF, Instituto de Educação, Universidade de Lisboa, Lisboa, PORTUGAL
Publication date: 2024-08-06
EURASIA J. Math., Sci Tech. Ed 2024;20(8):em2490
KEYWORDS
pre-service mathematics teachershierarchical classification of quadrilateralsprototypical phenomenondichotomous comparison
ABSTRACT
The aim of this research is to investigate the main characteristics of the processes of constructing
a hierarchical classification of quadrilaterals and identifying properties of their diagonals by pre-service middle and secondary school mathematics teachers (PMTs), when involved in whole-class
discussions with the teacher educators, after having solved tasks focused on those topics. Data
collection comprised video recordings of the sessions and PMTs’ written work, analyzed
qualitatively. Findings indicate that constructing the hierarchical classification of quadrilaterals
involved the PMTs in prototypical judgments, and dichotomous comparisons. In comparison the
identification of the diagonals’ properties was influenced more by definitions and logical
relationships, reflected in judgments and comparisons. It was concluded that participation in these
processes, with whole-class discussions and development of schemes to illustrate inclusion
relationships, may assist PMTs with prototypical phenomenon and dichotomous comparisons,
benefiting their future teaching practice.
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| eISSN: | 1305-8223 |
| ISSN: | 1305-8215 |
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