Educação matemática enraizada na cultura: contribuições da etnomatemática para salas de Silent Geometry, Talking Roots.

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Title: Educação matemática enraizada na cultura: contribuições da etnomatemática para salas de Silent Geometry, Talking Roots.
Authors: Svoboda, Hervé1, Roustan, Valentin1
Source: Ohio Journal of School Mathematics. Summer2026, Vol. 103, p88-91. 4p.
Subject Terms: *Mathematics education, Square root, Mathematical proofs, Mathematical inequalities, Pythagorean theorem, Geometry
Abstract: In the classroom, a recurring question often arises: "Are we allowed to do this with square roots -- and what about that?" This article presents three wordless geometric proofs that help students visualize both the rules that are allowed and those that are not when working with square roots. The proofs treat multiplication ..., division ..., and the additive inequality ..., relying only on the definition of a square root, the notion of geometric scaling, and -- in the third case -- the Pythagorean theorem and the triangle inequality. A short classroom vignette and a Note for Teachers are included to support implementation. [ABSTRACT FROM AUTHOR]
Copyright of Ohio Journal of School Mathematics is the property of Ohio Council of Teachers of Mathematics 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
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  Data: Educação matemática enraizada na cultura: contribuições da etnomatemática para salas de Silent Geometry, Talking Roots.
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  Data: <searchLink fieldCode="AR" term="%22Svoboda%2C+Hervé%22">Svoboda, Hervé</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Roustan%2C+Valentin%22">Roustan, Valentin</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Ohio+Journal+of+School+Mathematics%22">Ohio Journal of School Mathematics</searchLink>. Summer2026, Vol. 103, p88-91. 4p.
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  Data: *<searchLink fieldCode="DE" term="%22Mathematics+education%22">Mathematics education</searchLink><br /><searchLink fieldCode="DE" term="%22Square+root%22">Square root</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+proofs%22">Mathematical proofs</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+inequalities%22">Mathematical inequalities</searchLink><br /><searchLink fieldCode="DE" term="%22Pythagorean+theorem%22">Pythagorean theorem</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%22">Geometry</searchLink>
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  Label: Abstract
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  Data: In the classroom, a recurring question often arises: "Are we allowed to do this with square roots -- and what about that?" This article presents three wordless geometric proofs that help students visualize both the rules that are allowed and those that are not when working with square roots. The proofs treat multiplication ..., division ..., and the additive inequality ..., relying only on the definition of a square root, the notion of geometric scaling, and -- in the third case -- the Pythagorean theorem and the triangle inequality. A short classroom vignette and a Note for Teachers are included to support implementation. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Ohio Journal of School Mathematics is the property of Ohio Council of Teachers of Mathematics 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.)
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      – Code: eng
        Text: English
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      – SubjectFull: Mathematics education
        Type: general
      – SubjectFull: Square root
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      – SubjectFull: Mathematical proofs
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      – SubjectFull: Mathematical inequalities
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      – SubjectFull: Pythagorean theorem
        Type: general
      – SubjectFull: Geometry
        Type: general
    Titles:
      – TitleFull: Educação matemática enraizada na cultura: contribuições da etnomatemática para salas de Silent Geometry, Talking Roots.
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            NameFull: Svoboda, Hervé
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            NameFull: Roustan, Valentin
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            – D: 01
              M: 06
              Text: Summer2026
              Type: published
              Y: 2026
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