JURNAL INOVASI PENDIDIKAN DAN PEMBELAJARAN SEKOLAH DASAR
Vol 9, No 2 (2025): JIPPSD

Penalaran Proporsional Siswa Kelas IV Sekolah Dasar dalam Menyelesaikan Masalah Missing Value Perkalian dan Pembagian

Kaisra Alfikri Islami (Universitas Negeri Malang, Kota Malang)
Subanji Subanji (Universitas Negeri Malang, Kota Malang)
Riska Pristiani (Universitas Negeri Malang, Kota Malang)
Erry Hidayanto (Universitas Negeri Malang, Kota Malang)



Article Info

Publish Date
15 May 2026

Abstract

This study aims to describe the proportional reasoning of fourth-grade students in solving missing value problems in multiplication and division contexts. A descriptive qualitative approach was employed involving 26 fourth-grade students at SDN Lowokwaru 5 Malang City. Data were collected through written tests, observations, interviews, and documentation. Data analysis was conducted using the Miles and Huberman model, including data reduction, data display, and conclusion drawing. The analysis focused on students’ problem-solving strategies (scaling, unit rate, cross-multiplication, and additive strategies) and five stages of proportional reasoning, namely understanding the situation, forming representations, identifying multiplicative structures, applying solution strategies, and evaluating ratio equivalence. The results indicate that most students tend to use cross-multiplication procedurally without fully understanding the underlying concepts. In multiplication contexts, students generally demonstrate better performance by applying scaling strategies. However, in division contexts, students encounter significant difficulties, particularly in determining unit rates, and tend to rely on additive reasoning. These findings suggest that most students are still at the pre-proportional to early proportional reasoning stages. This study highlights the importance of strengthening conceptual understanding in mathematics learning at the elementary school level.

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Journal Info

Abbrev

jippsd

Publisher

Subject

Education

Description

Jurnal Inovasi Pendidikan dan Pembelajaran Sekolah Dasar (JIPPSD) merupakan wahana publikasi hasil penelitian dan kajian ilmiah dosen, praktisi, pakar pendidikan, dan artikel tesis serta disertasi mahasiswa yang memiliki kepedulian tinggi terhadap kemajuan dan inovasi pendidikan dan pembelajaran ...