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Low-Cost Spatial Magnification via the Moiré Technique: A 5E-Based Conceptual Chain for Precision Measurement in Secondary Physics Education | ||
| Physics Journal | Farhangian University | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 24 خرداد 1405 | ||
| نوع مقاله: Original Paper | ||
| شناسه دیجیتال (DOI): 10.48310/esip.2026.22489.1028 | ||
| نویسنده | ||
| Mohammad Yeganeh* | ||
| Department of Physics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran. | ||
| چکیده | ||
| Secondary physics instruction in precision measurement often emphasizes procedural mastery of instruments such as vernier calipers while neglecting the underlying principle: spatial magnification. This omission leaves students unable to transfer knowledge, defaulting to algorithmic recall. This paper presents an ultra-low-cost instructional framework leveraging the moiré phenomenon to render spatial magnification visually accessible for Grade 10 students. The framework comprises four components: (i) theoretical foundations of parallel and rotational moiré configurations demonstrating geometric amplification (Λₘ = Λ₁Λ₂/|Λ₁ − Λ₂| and Λₘ ≈ Λ/θ); (ii) two laboratory activities using only printed transparencies and standard equipment; (iii) a 5E-based instructional sequence scaffolding understanding from observation to principled reasoning; and (iv) material specifications demonstrating feasibility at less than US$0.30 per student without lasers or specialized hardware. The design addresses three research gaps: absence of moiré-based conceptual scaffolding in introductory physics, lack of systematic instructional design, and the misconception that advanced equipment is necessary. The framework is immediately implementable in resource-limited settings and honors substantial national contributions to moiré science. All instructional materials are available from the corresponding author upon request. | ||
| کلیدواژهها | ||
| Moiré technique؛ spatial magnification؛ 5E instructional model؛ conceptual learning chain؛ precision measurement | ||
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آمار تعداد مشاهده مقاله: 7 |
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