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All Journal AKSIOMA: Jurnal Program Studi Pendidikan Matematika Journal of Didactic Mathematics
Rozi, Mohammad Sahrul
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Education Mathematics

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Zoom in: Exploring perceptions of the multiplication symbol (×) up close Ardiansari, Lia; Rozi, Mohammad Sahrul; Herdiyanti, Shellyna
Journal of Didactic Mathematics Vol 5, No 2 (2024): August
Publisher : Mahesa Research Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34007/jdm.v5i2.2281

Abstract

This study explored the perceptions of 51 prospective elementary school teachers selected using purposive sampling technique regarding the multiplication symbol (×) in arithmetic operations. Using a qualitative hermeneutic phenomenological approach, data were collected through task-based interviews administered to education students specializing in elementary education. The tasks were designed to explore candidates’ understanding and interpretation of the ‘×’ symbol, including uncovering conceptual images, understanding the ‘×’ symbol in different contexts, ability to represent the ‘×’ symbol, flexibility in relating the ‘×’ symbol among concepts, and problem-solving skills. Data analysis involved thematic coding and interpretive analysis to uncover patterns and insights into candidates’ cognitive frameworks. The findings revealed significant variation in candidates’ understanding of the ‘×’ symbol, influenced by their educational background and personal experiences with mathematics. This study highlights the need for improved mathematics instruction and curriculum design to equip future teachers with a deep and accurate understanding of arithmetic symbols, which is critical for effective mathematics teaching at the elementary level.
BRIDGING ARITHMETIC TO ALGEBRA: IMPLEMENTING AN E-MODUL THROUGH DIDACTICAL DESIGN RESEARCH Ardiansari, Lia; Ariyanti, Dyah; Rozi, Mohammad Sahrul; Assiddiqi, Muhammad Fajar
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 4 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i4.13880

Abstract

Students' difficulties in understanding algebraic concepts often stem from a procedural approach to arithmetic without deep conceptual grounding. This study aims to develop and implement an interactive e-module titled “Jembatan Aritmatika”, designed to help students build a conceptual transition from arithmetic to algebra by deepening their understanding of the equal sign (=) as a relational symbol. The study adopts a Didactical Design Research (DDR) approach, consisting of three main phases: preliminary design, experimental teaching, and retrospective analysis. The participants were upper-grade elementary school students who engaged with the e-module across several learning sessions. Instruments included pre-test and post-test questions, observation sheets, and student response questionnaires. The results showed that the e-module effectively enhanced students' understanding of the relational meaning of the equal sign and introduced them to the fundamental structure of algebraic equations in a gradual and meaningful way. Strategies such as visualization, contextual problem-solving, and the progressive use of symbolic representation proved helpful in supporting students’ reasoning about quantitative relationships. The study concludes that the “Jembatan Aritmatika” e-module holds promise as an effective learning medium for facilitating students' conceptual transition from arithmetic to algebra.
Co-Authors Ariyanti, Dyah Assiddiqi, Muhammad Fajar Herdiyanti, Shellyna Lia Ardiansari