Thinking through Fermi problems: What proximity of the problem context is more attainable to promote students’ model-based estimations?


SEVİNÇ Ş., Albarracín L., Arıcan B.

Mathematical Thinking and Learning, 2026 (SSCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1080/10986065.2026.2663790
  • Dergi Adı: Mathematical Thinking and Learning
  • Derginin Tarandığı İndeksler: Social Sciences Citation Index (SSCI), Scopus, Education Abstracts, Educational research abstracts (ERA), ERIC (Education Resources Information Center), Psycinfo
  • Anahtar Kelimeler: affordances of context proximity, Fermi problems, Model-based estimation, proximity of the problem context
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

This study presents an empirical analysis of 6th-grade students’ estimation-based thinking in two Fermi problems that are with different proximity to the problem context based on the following characteristics: (1) involving real-life elements within/beyond-direct-reach of students’ physical surroundings and (2) involving the size of the quantities within/beyond-direct-reach of students’ reference tools for estimation. Twelve turkish 6th-grade students worked in pairs on the Fermi problems. The findings indicated that the proximity of the problem context shaped students’ model-based estimation on Fermi problems by affording processes characterized as sensemaking-facilitator, estimation–referent identifier, and strategy-promoter. Students’ model-based estimation indicated that the closer proximity of the context helped students to make sense of the problem and initiate an estimation relying on within-direct-reach reference tools. However, the lack of physical closeness and the larger size of the quantity created a challenge in developing a model-based estimation, which encouraged students to develop a strategy.