Students' Meaning-Making of Horizontal Function Translation with a Dynamic Visualization.
Saved in:
| Title: | Students' Meaning-Making of Horizontal Function Translation with a Dynamic Visualization. |
|---|---|
| Authors: | Kristanto, Yosep Dwi1,2 yosepdwikristanto@usd.ac.id, Paoletti, Teo3 teop@udel.edu, El-Kasti, Houssam4 houssamkasti@gmail.com, Lavicza, Zsolt1 zsolt.lavicza@jku.at |
| Source: | International Journal for Technology in Mathematics Education. 2026, Vol. 33 Issue 2, p93-101. 9p. |
| Subject Terms: | *Visualization, *Cognitive development, *Mathematics education, *Digital learning, *Concept learning, Mathematical transformations |
| Abstract: | Previous studies have shown that the conceptual complexity of horizontal function translation can pose challenges for students, motivating subsequent research to propose instructional approaches that support students in developing more productive ways of thinking about this transformation. This study investigates how students can use emergent graphical shape thinking (EGST) to construct meanings for horizontal function translation when supported by a dynamic visualization. A case study approach was employed to trace the learning progression of two students as they worked through a digital task incorporating this visualization. Their progression unfolded in three phases. First, they identified a relationship between the original function and its horizontal translation, though the direction of this relationship was the reverse of what was intended. Second, in an effort to refine the relationship between the functions, they established a correspondence relationship between the inputs of the original and translated functions. Finally, they used this correspondence relationship to generalize the functional relationship that characterizes a horizontal translation. How EGST and the dynamic visualization supported this meaningmaking are subsequently discussed. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal for Technology in Mathematics Education is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: ehh DbLabel: Education Research Complete An: 195201994 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Students' Meaning-Making of Horizontal Function Translation with a Dynamic Visualization. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kristanto%2C+Yosep+Dwi%22">Kristanto, Yosep Dwi</searchLink><relatesTo>1,2</relatesTo><i> yosepdwikristanto@usd.ac.id</i><br /><searchLink fieldCode="AR" term="%22Paoletti%2C+Teo%22">Paoletti, Teo</searchLink><relatesTo>3</relatesTo><i> teop@udel.edu</i><br /><searchLink fieldCode="AR" term="%22El-Kasti%2C+Houssam%22">El-Kasti, Houssam</searchLink><relatesTo>4</relatesTo><i> houssamkasti@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Lavicza%2C+Zsolt%22">Lavicza, Zsolt</searchLink><relatesTo>1</relatesTo><i> zsolt.lavicza@jku.at</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Technology+in+Mathematics+Education%22">International Journal for Technology in Mathematics Education</searchLink>. 2026, Vol. 33 Issue 2, p93-101. 9p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Visualization%22">Visualization</searchLink><br />*<searchLink fieldCode="DE" term="%22Cognitive+development%22">Cognitive development</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematics+education%22">Mathematics education</searchLink><br />*<searchLink fieldCode="DE" term="%22Digital+learning%22">Digital learning</searchLink><br />*<searchLink fieldCode="DE" term="%22Concept+learning%22">Concept learning</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+transformations%22">Mathematical transformations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Previous studies have shown that the conceptual complexity of horizontal function translation can pose challenges for students, motivating subsequent research to propose instructional approaches that support students in developing more productive ways of thinking about this transformation. This study investigates how students can use emergent graphical shape thinking (EGST) to construct meanings for horizontal function translation when supported by a dynamic visualization. A case study approach was employed to trace the learning progression of two students as they worked through a digital task incorporating this visualization. Their progression unfolded in three phases. First, they identified a relationship between the original function and its horizontal translation, though the direction of this relationship was the reverse of what was intended. Second, in an effort to refine the relationship between the functions, they established a correspondence relationship between the inputs of the original and translated functions. Finally, they used this correspondence relationship to generalize the functional relationship that characterizes a horizontal translation. How EGST and the dynamic visualization supported this meaningmaking are subsequently discussed. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal for Technology in Mathematics Education is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=195201994 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1564/tme_v33.2.07 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 93 Subjects: – SubjectFull: Visualization Type: general – SubjectFull: Cognitive development Type: general – SubjectFull: Mathematics education Type: general – SubjectFull: Digital learning Type: general – SubjectFull: Concept learning Type: general – SubjectFull: Mathematical transformations Type: general Titles: – TitleFull: Students' Meaning-Making of Horizontal Function Translation with a Dynamic Visualization. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kristanto, Yosep Dwi – PersonEntity: Name: NameFull: Paoletti, Teo – PersonEntity: Name: NameFull: El-Kasti, Houssam – PersonEntity: Name: NameFull: Lavicza, Zsolt IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 17442710 Numbering: – Type: volume Value: 33 – Type: issue Value: 2 Titles: – TitleFull: International Journal for Technology in Mathematics Education Type: main |
| ResultId | 1 |
