Jurnal Didaktik Matematika
Vol 11, No 2 (2024): OCTOBER 2024

Students' Learning Obstacles on Sequences and Series Viewed by Pirie Kieren's Theory

Reni Albertin Putri (Universitas Negeri Malang)
Susiswo Susiswo (Universitas Negeri Malang)
Makbul Muksar (Universitas Negeri Malang)



Article Info

Publish Date
29 Nov 2024

Abstract

Mathematical understanding develops through eight layers, as described by Pirie and Kieren: primitive knowing, image making, image having, property noticing, formalizing, observing, structuring, and inventizing. However, evidence indicates that many students encounter obstacles that hinder their progression through these layers. This study aims to identify and describe the learning obstacles students face in understanding sequences and series, utilizing Pirie and Kieren's theoretical framework. A descriptive qualitative research design was employed, purposive sampling to select participants from 30 Year 11 students in Malang, Indonesia. Data were gathered through tests and interviews and analyzed based on indicators of learning obstacles and the corresponding layers of mathematical understanding outlined by Pirie and Kieren. The findings reveal that many students experience significant difficulties in noticing and formalizing layers within the property. These challenges are attributed to inadequate foundational knowledge (ontogenic conceptual obstacles) and a lack of structured opportunities for developing deeper mathematical understanding (ontogenic instrumental, didactical, and epistemological obstacles). The results underscore the need for further research to address these learning barriers by focusing on enhancing students' foundational knowledge and designing educational experiences that foster the growth of mathematical understanding.

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Journal Info

Abbrev

DM

Publisher

Subject

Education Mathematics

Description

JURNAL DIDAKTIK MATEMATIKA IS A SCIENTIFIC JOURNAL IN MATHEMATICS TEACHING AND LEARNING, TECHNOLOGY IN MATHEMATICS TEACHING AND LEARNING, AND MATHEMATICS EDUCATION. THE SCOPE OF THE JOURNAL INCLUDES: a. Mathematics teaching and learning in primary school, high school, and higher education. b. ...