A case study of proving by students with different levels of mathematical giftedness

Beltrán-Meneu, María José; Ramírez Uclés, Rafael; Ribera-Puchades, Juan Miguel; Gutiérrez, Ángel; Jaime, Adela

2024_MATHEMATICS TEACHING Ribera_Puchades.pdf (939.2Kb)

Identificadores

URI: https://hdl.handle.net/10481/101919

ISSN: 2573-4377

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Editorial

City University of New York

Materia

mathematical giftedness

deductive proofs

empirical proofs

arithmetical problems

geometrical problems

Fecha

2024

Referencia bibliográfica

Beltrán-Meneu, M.J., Ramírez-Uclés, R., Ribera-Puchades, J.M., Gutiérrez, A., y Jaime, A. (2024). A case study of proving by students with different levels of mathematical giftedness. Mathematics Teaching Research Journal, 16(2), 119-145. ISSN: 2573-4377

Patrocinador

Spanish Ministry of Science and Innovation PID2020-117395RB-I00

Resumen

We present a case study of proving by three 12–13-year-old students with different levels of mathematical giftedness. After analysing students’ proofs, we conclude that: there was a relation on the consistency and the students' levels of mathematically giftedness, being the least consistent the student not mathematically gifted and the most consistent the student with the highest level of mathematical giftedness; the variability was greater in the arithmetical problems; the quality of the proofs produced increased as the level of mathematical giftedness did; the two students with a lower level did better proofs in the arithmetical than in the geometrical problems, while the student with the highest level did not show significant differences between the two areas.

Colecciones

FQM193 - Artículos