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Functional Thinking

A Study with 10th-Grade Students

Bibliographic Data

ID22042891
AuthorsReinaldo Menezes Martins (0000-0003-0148-7917, Universidade Nova de Lisboa), Raquel Martins (0000-0002-6192-2266, Universidade Nova de Lisboa), Floriano Viseu (0000-0002-8221-6870, University of Minho, corresponding author), Helena Rocha (0000-0003-3967-9084, Universidade Nova de Lisboa)
Year2023
Volume13
Issue4
Pages335
Publication date2023-03-24
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEducation Sciences (JOURNAL)
Journal identifiersISSN: 2227-7102 • E-ISSN: 2227-7102
PublisherMDPI AG (PUBLISHER • IT)
DOI10.3390/educsci13040335
OpenAlexW4361008118
LanguageEN
Citations received2
References cited22

This study aims to understand the functional thinking of 10th-grade students while studying functions. Specifically, we intend to answer the following research questions: what are the functional thinking processes used by 10th-grade students when studying functions? What difficulties do students present while learning functions? In view of the nature of this research objective, we adopted a qualitative and interpretative approach. In order to answer these questions, data were collected from the written records produced by the students while solving the proposed tasks, from records of the oral interactions during discussions and from a questionnaire. The results show that functional thinking processes were implicit in the resolution of the tasks proposed to the students. The students expressed an understanding of how the variables were related, presenting evidence of their functional thinking while working on the new concepts represented by the functions addressed in the proposed tasks. Some students expressed difficulties in interpreting the different types of representations associated with the functions, in retaining the necessary information from a graphical representation that would help them to draw conclusions and establish correspondences, in explaining functional relationships, and in interpreting the information provided by algebraic expressions. These difficulties can reduce the recognition of the relationships between variables and their behavior in the different representations, becoming an obstacle to learning for some students

Mathematics education · Chemistry Education and Research · Computer Science · Education Pedagogy and Practices · Mathematics Education and Teaching Techniques · Psychology

  • Exploring high school students’ misconceptions of functions

    Open Access•Georgios Polydoros•Mathematics Education Research…•2026

  • Teachers’ mathematical work based on examples presented in the teaching of algebra in secondary education

    Open Access•Carolina Henríquez-Rivas, Paula Verdugo-Hernández•Frontiers in Education•2024

Unique citing works2
Citations per year1
Citation span2024 - 2026 (3)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 2

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