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High School Colombian Students' Variational Thinking Triggered by Mathematical Connections in a Laboratory on Linear Functions

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Title: High School Colombian Students' Variational Thinking Triggered by Mathematical Connections in a Laboratory on Linear Functions
Language: English
Authors: Karina Nuñez-Gutierrez (ORCID 0000-0001-7441-2719), Camilo Andrés Rodríguez-Nieto (ORCID 0000-0001-9922-4079), Lisseth Correa-Sandoval (ORCID 0000-0001-9053-2913), Vicenç Font Moll (ORCID 0000-0003-1405-0458)
Source: International Electronic Journal of Mathematics Education. 2025 20(1).
Availability: International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
Peer Reviewed: Y
Page Count: 21
Publication Date: 2025
Document Type: Journal Articles
Reports - Research
Education Level: High Schools
Secondary Education
Descriptors: High School Students, Thinking Skills, Mathematics Instruction, Task Analysis, Learning Processes, Foreign Countries, Mathematics Tests, Diagnostic Tests, Difficulty Level, Mathematical Models, Algebra, Teaching Methods
Geographic Terms: Colombia
ISSN: 1306-3030
Abstract: The variational thinking of high school students based on mathematical connections was analyzed through a laboratory on linear functions. This qualitative research based on design was developed in three phases: diagnostic test, implementation of the mathematics laboratory and final test, with students from a public institution in Barranquilla, Colombia. The diagnostic test revealed difficulties in the concept of linear function and the modelling of situations. Therefore, a laboratory was implemented with eight activities focused on the concept of linear function, variation situations, generalization and conversion between different representations of the linear function (verbal, numerical, tabular, graphical, and algebraic). The results showed a significant advance in the variational thinking of the students, who managed to establish connections between different representations, procedural, metaphorical and better understand the meanings of the linear function. Also, the type of mathematical tasks used promote mathematical connections and variational thinking about the linear function and applications.
Abstractor: As Provided
Entry Date: 2025
Accession Number: EJ1462276
Database: ERIC
FullText Text:
  Availability: 0
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  Data: High School Colombian Students' Variational Thinking Triggered by Mathematical Connections in a Laboratory on Linear Functions
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  Data: <searchLink fieldCode="AR" term="%22Karina+Nuñez-Gutierrez%22">Karina Nuñez-Gutierrez</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0001-7441-2719">0000-0001-7441-2719</externalLink>)<br /><searchLink fieldCode="AR" term="%22Camilo+Andrés+Rodríguez-Nieto%22">Camilo Andrés Rodríguez-Nieto</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0001-9922-4079">0000-0001-9922-4079</externalLink>)<br /><searchLink fieldCode="AR" term="%22Lisseth+Correa-Sandoval%22">Lisseth Correa-Sandoval</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0001-9053-2913">0000-0001-9053-2913</externalLink>)<br /><searchLink fieldCode="AR" term="%22Vicenç+Font+Moll%22">Vicenç Font Moll</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0003-1405-0458">0000-0003-1405-0458</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22International+Electronic+Journal+of+Mathematics+Education%22"><i>International Electronic Journal of Mathematics Education</i></searchLink>. 2025 20(1).
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  Data: International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
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  Data: 21
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  Data: <searchLink fieldCode="EL" term="%22High+Schools%22">High Schools</searchLink><br /><searchLink fieldCode="EL" term="%22Secondary+Education%22">Secondary Education</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22High+School+Students%22">High School Students</searchLink><br /><searchLink fieldCode="DE" term="%22Thinking+Skills%22">Thinking Skills</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Task+Analysis%22">Task Analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Learning+Processes%22">Learning Processes</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Tests%22">Mathematics Tests</searchLink><br /><searchLink fieldCode="DE" term="%22Diagnostic+Tests%22">Diagnostic Tests</searchLink><br /><searchLink fieldCode="DE" term="%22Difficulty+Level%22">Difficulty Level</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Models%22">Mathematical Models</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Teaching+Methods%22">Teaching Methods</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Colombia%22">Colombia</searchLink>
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  Data: 1306-3030
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The variational thinking of high school students based on mathematical connections was analyzed through a laboratory on linear functions. This qualitative research based on design was developed in three phases: diagnostic test, implementation of the mathematics laboratory and final test, with students from a public institution in Barranquilla, Colombia. The diagnostic test revealed difficulties in the concept of linear function and the modelling of situations. Therefore, a laboratory was implemented with eight activities focused on the concept of linear function, variation situations, generalization and conversion between different representations of the linear function (verbal, numerical, tabular, graphical, and algebraic). The results showed a significant advance in the variational thinking of the students, who managed to establish connections between different representations, procedural, metaphorical and better understand the meanings of the linear function. Also, the type of mathematical tasks used promote mathematical connections and variational thinking about the linear function and applications.
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  Data: 2025
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  Data: EJ1462276
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RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
    Subjects:
      – SubjectFull: High School Students
        Type: general
      – SubjectFull: Thinking Skills
        Type: general
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Task Analysis
        Type: general
      – SubjectFull: Learning Processes
        Type: general
      – SubjectFull: Foreign Countries
        Type: general
      – SubjectFull: Mathematics Tests
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      – SubjectFull: Diagnostic Tests
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      – SubjectFull: Difficulty Level
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      – SubjectFull: Mathematical Models
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      – SubjectFull: Algebra
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      – SubjectFull: Teaching Methods
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      – SubjectFull: Colombia
        Type: general
    Titles:
      – TitleFull: High School Colombian Students' Variational Thinking Triggered by Mathematical Connections in a Laboratory on Linear Functions
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          Name:
            NameFull: Karina Nuñez-Gutierrez
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            NameFull: Camilo Andrés Rodríguez-Nieto
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            NameFull: Lisseth Correa-Sandoval
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            NameFull: Vicenç Font Moll
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              M: 01
              Type: published
              Y: 2025
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            – TitleFull: International Electronic Journal of Mathematics Education
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