How Good Students’ Problem-Solving Skills on Senior High School? An Analysis on Sequences and Series Material

Students frequently respond to problems posed by their instructors through trial and error, without first grasping the underlying concepts. They often perceive the problems as entirely new and unrelated to their previous experiences, leading to a lack of confidence and reinforcing the belief that mathematics is a difficult subject. Consequently, their responses are often incorrect or incomplete. The objective of this study is to describe the mathematical problem-solving abilities of grade XI students on the topic of sequences and series in one of the schools in Bekasi Regency. This research employed a descriptive qualitative method, with data analysis techniques based on the interactive model developed by Miles and Huberman. The subjects of this study were 25 grade XI students selected using purposive sampling. The test instrument consisted of problem-solving tasks, while non-test data were obtained through interviews. The results indicate that students' mathematical problem-solving abilities fall into three categories: 4% of students demonstrated high problem-solving skills, 4% were in the medium category, and 92% were classified as low. A detailed analysis of problem-solving indicators reveals that: (1) in understanding the problem, many students struggled to identify the given information and the goal of the problem; (2) in devising a solution plan, most students failed to select an appropriate strategy, often guessing rather than structuring a logical approach; (3) in executing the plan, students in the low category frequently made calculation errors and misapplied formulas; and (4) in reflecting on the solution, very few students revisited their answers to verify accuracy or consider alternative methods. These findings suggest that students’ mathematical problem-solving abilities remain relatively low, with significant gaps in comprehension, planning, execution, and reflection. Strengthening these aspects through targeted interventions is necessary to enhance students’ overall problem-solving skills.

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Publication Details

Journal
(JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING
Published
2025-09-01
DOI
https://doi.org/10.22460/jiml.v8i3.23857
Primary Topic
Mathematics Education and Pedagogy
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article
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article

How Good Students’ Problem-Solving Skills on Senior High School? An Analysis on Sequences and Series Material

M. Afrilianto, Arista Pratama, Tatang Supriatna, Heris Hendriana
(JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING
Mathematics Education and Pedagogy
article

How Good Students’ Problem-Solving Skills on Senior High School? An Analysis on Sequences and Series Material

M. Afrilianto, Arista Pratama, Tatang Supriatna, Heris Hendriana
article en

Abstract

Students frequently respond to problems posed by their instructors through trial and error, without first grasping the underlying concepts. They often perceive the problems as entirely new and unrelated to their previous experiences, leading to a lack of confidence and reinforcing the belief that mathematics is a difficult subject. Consequently, their responses are often incorrect or incomplete. The objective of this study is to describe the mathematical problem-solving abilities of grade XI students on the topic of sequences and series in one of the schools in Bekasi Regency. This research employed a descriptive qualitative method, with data analysis techniques based on the interactive model developed by Miles and Huberman. The subjects of this study were 25 grade XI students selected using purposive sampling. The test instrument consisted of problem-solving tasks, while non-test data were obtained through interviews. The results indicate that students' mathematical problem-solving abilities fall into three categories: 4% of students demonstrated high problem-solving skills, 4% were in the medium category, and 92% were classified as low. A detailed analysis of problem-solving indicators reveals that: (1) in understanding the problem, many students struggled to identify the given information and the goal of the problem; (2) in devising a solution plan, most students failed to select an appropriate strategy, often guessing rather than structuring a logical approach; (3) in executing the plan, students in the low category frequently made calculation errors and misapplied formulas; and (4) in reflecting on the solution, very few students revisited their answers to verify accuracy or consider alternative methods. These findings suggest that students’ mathematical problem-solving abilities remain relatively low, with significant gaps in comprehension, planning, execution, and reflection. Strengthening these aspects through targeted interventions is necessary to enhance students’ overall problem-solving skills.

(JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNINGVol. 8(3)
Siliwangi University (ID)
Openalex Percentile: Top 66%
Mathematics Education and Pedagogy
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