The Sixth-Grade Students’ Conceptualization of Angle

This study investigated sixth-grade students' conceptualization of angles. A structured interview was implemented with eight students to examine how they verbally described angles, represented them in figures, and interpreted them in real-life contexts such as slope, turn, and openness. The findings revealed that students primarily understood angles through static components such as corners and intersection, consistent with the standard definition of angles. Only one student demonstrated a more comprehensive understanding by relating angles to slope and space contexts through reflective abstraction of the formal angle definition. Educational implications are discussed, highlighting that most students struggled to connect angles across different contexts, such as slope and turn, despite the inclusion of real-life examples and physical experiences in the primary school curriculum. Practical implications emphasize the importance of facilitating reflective abstraction through multiple representations and contexts of angles in classroom instruction.

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Publication Details

Journal
Boğaziçi Üniversitesi Eğitim Dergisi
Published
2025-12-30
DOI
https://doi.org/10.52597/buje.1537486
Primary Topic
Spatial Cognition and Navigation
Type
article
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article

The Sixth-Grade Students’ Conceptualization of Angle

Fatma Acar, Nur Banu Duran, Habibe TOKER KEKİK, Mine Işıksal
Boğaziçi Üniversitesi Eğitim Dergisi
Spatial Cognition and Navigation
article

The Sixth-Grade Students’ Conceptualization of Angle

Fatma Acar, Nur Banu Duran, Habibe TOKER KEKİK, Mine Işıksal
article en

Abstract

This study investigated sixth-grade students' conceptualization of angles. A structured interview was implemented with eight students to examine how they verbally described angles, represented them in figures, and interpreted them in real-life contexts such as slope, turn, and openness. The findings revealed that students primarily understood angles through static components such as corners and intersection, consistent with the standard definition of angles. Only one student demonstrated a more comprehensive understanding by relating angles to slope and space contexts through reflective abstraction of the formal angle definition. Educational implications are discussed, highlighting that most students struggled to connect angles across different contexts, such as slope and turn, despite the inclusion of real-life examples and physical experiences in the primary school curriculum. Practical implications emphasize the importance of facilitating reflective abstraction through multiple representations and contexts of angles in classroom instruction.

Boğaziçi Üniversitesi Eğitim DergisiVol. 42(3)
Middle East Technical University (TR), Alanya Alaaddin Keykubat Üniversitesi (TR)
Reduced inequalities
Openalex Percentile: Top 44%
Spatial Cognition and Navigation
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The Sixth-Grade Students’ Conceptualization of Angle — Fatma Acar, Nur Banu Duran, et al. · Boğaziçi Üniversitesi Eğitim Dergisi (2025) | TGRS Research Map | TGRS