The Perfect Picture: The Role of Visual Representations in (Preparation for) Precalculus.
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| Title: | The Perfect Picture: The Role of Visual Representations in (Preparation for) Precalculus. |
|---|---|
| Authors: | Tsutsui, Matthew1 |
| Source: | MathAMATYC Educator. Spring2026, Vol. 17 Issue 3, p60-79. 20p. |
| Subject Terms: | *College teachers, Precalculus, Mathematics, Graphic methods, Electronic spreadsheets |
| Abstract: | Studies affirm that visualizations help students with learning mathematics, but instructors must be aware of some pitfalls when teaching visually. This report uncovers these pitfalls and examines precalculus students' interactions with the visual details of mathematical pictures. Interview and worksheet results showed that the students expressed a desire to learn mathematics with visually detailed pictures. But the results also show they grounded their mathematical reasoning in visual details and relied on having "enough" details, like labels on graphs, before mathematically engaging with representations. Instructors of precalculus support classes are recommended to apply cognitive load theory to visualizations: students should be intentionally trained to interpret the visual details of a picture and weaned from them as mathematical crutches over time. [ABSTRACT FROM AUTHOR] |
| Copyright of MathAMATYC Educator is the property of American Mathematical Association of Two-Year Colleges 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 | Text: Availability: 0 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 194601185 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The Perfect Picture: The Role of Visual Representations in (Preparation for) Precalculus. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Tsutsui%2C+Matthew%22">Tsutsui, Matthew</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22MathAMATYC+Educator%22">MathAMATYC Educator</searchLink>. Spring2026, Vol. 17 Issue 3, p60-79. 20p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22College+teachers%22">College teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Precalculus%22">Precalculus</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Graphic+methods%22">Graphic methods</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+spreadsheets%22">Electronic spreadsheets</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Studies affirm that visualizations help students with learning mathematics, but instructors must be aware of some pitfalls when teaching visually. This report uncovers these pitfalls and examines precalculus students' interactions with the visual details of mathematical pictures. Interview and worksheet results showed that the students expressed a desire to learn mathematics with visually detailed pictures. But the results also show they grounded their mathematical reasoning in visual details and relied on having "enough" details, like labels on graphs, before mathematically engaging with representations. Instructors of precalculus support classes are recommended to apply cognitive load theory to visualizations: students should be intentionally trained to interpret the visual details of a picture and weaned from them as mathematical crutches over time. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of MathAMATYC Educator is the property of American Mathematical Association of Two-Year Colleges 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=194601185 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 60 Subjects: – SubjectFull: College teachers Type: general – SubjectFull: Precalculus Type: general – SubjectFull: Mathematics Type: general – SubjectFull: Graphic methods Type: general – SubjectFull: Electronic spreadsheets Type: general Titles: – TitleFull: The Perfect Picture: The Role of Visual Representations in (Preparation for) Precalculus. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Tsutsui, Matthew IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Spring2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 1947279X Numbering: – Type: volume Value: 17 – Type: issue Value: 3 Titles: – TitleFull: MathAMATYC Educator Type: main |
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