Learning Trajectory Based on Fractional Sub-Constructs: Using Fractions as Quotients to Introduce Fractions

Artigo2021

Yoppy Wahyu Purnomo; Rizki Arlini; Ishaq Nuriadin; Tian Abdul Aziz

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Resumo

Learning emphasizing fractions as a part-whole concept causes several limitations in developing fraction knowledge and inhibits proportional reasoning. We use fractions as quotients as the first context introduced in our learning trajectory. We report the teaching experiment results using the improved learning trajectory on thirty 4th grade students in Jakarta's public schools. The findings of this study indicate that the fractions as quotients used as the first stage in the learning trajectory can lay a solid foundation for the concept of partitioning in a variety of strategies and the concept of fractional parts. Besides, the developed learning trajectory has provided opportunities for students to learn about fractional mental operations, which are interrelated and serve as the basis for the development of proportional reasoning.

Dados da obra

Tipo: Artigo
Periódico: Mathematics Teaching Research Journal
Ano: 2021
Idioma: en
Palavras-chave: Teaching Methods; Fractions; Mathematics Instruction; Thinking Skills; Mathematical Concepts; Concept Formation; Learning Trajectories; Grade 4; Elementary School Students; Foreign Countries; Public Schools; Worksheets; Cognitive Processes
Acesso: Download disponível
Fontes: ERIC — Education Resources Information Center
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
PURNOMO, Yoppy Wahyu et al.. Learning Trajectory Based on Fractional Sub-Constructs: Using Fractions as Quotients to Introduce Fractions. Mathematics Teaching Research Journal, 2021. Disponível em: https://eric.ed.gov/?id=EJ1382607. Acesso em: 5 nov. 2026.

APA

Purnomo, Y. W., Arlini, R., Nuriadin, I., & Aziz, T. A. (2021). Learning Trajectory Based on Fractional Sub-Constructs: Using Fractions as Quotients to Introduce Fractions. Mathematics Teaching Research Journal. https://eric.ed.gov/?id=EJ1382607

BibTeX

@article{purnomo2021,
  author = {Purnomo, Yoppy Wahyu and Arlini, Rizki and Nuriadin, Ishaq and Aziz, Tian Abdul},
  title = {Learning Trajectory Based on Fractional Sub-Constructs: Using Fractions as Quotients to Introduce Fractions},
  year = {2021},
  journal = {Mathematics Teaching Research Journal},
  url = {https://eric.ed.gov/?id=EJ1382607},
  language = {en}
}

RIS

TY  - JOUR
AU  - Purnomo, Yoppy Wahyu
AU  - Arlini, Rizki
AU  - Nuriadin, Ishaq
AU  - Aziz, Tian Abdul
TI  - Learning Trajectory Based on Fractional Sub-Constructs: Using Fractions as Quotients to Introduce Fractions
PY  - 2021
JO  - Mathematics Teaching Research Journal
UR  - https://eric.ed.gov/?id=EJ1382607
LA  - en
ER  -

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