Students Conceptual Mode and Analytical Thinking: Its Role During Mathematical Problem Posing and Solving

Authors

Abstract

The purpose of this study is to identify pseudo-conceptual or pseudo-analytical thought processes used by the students during the problem-posing and problem-solving activity. Students’ problem-solving strategies used in solving routine and guided method for problem-posing are analyzed using the frame of superficial similarities and fussy memory. Fifteen (15) university students enrolled in "Exploring, Investigating and Modelling Mathematics for Secondary Teaching” participated in the study. Results showed that most routine problems are solved by imitating the procedure, while guided transformed problems occurred in erroneous solution. The identification of a superficial similarity during problem-posing while failing to recognize that the previously solved equations are structurally distinct from the newly given equation, leads students to employ an inappropriate solution method (imitating). Analysis of students solved problems viewed from conceptual and analytical lens of teaching mathematics is related to the importance of developing deep understanding and critical thinking when posing problem needed for solving.

Author Biographies

Adriano Patac Jr, Surigao del Norte State University

Adriano Patac, Jr is currently the director for Innovation Technology Support Office which focuses on IP protection of the univesity whether it is for teaching, learning, development or process and product. He is also a faculty member of the College of Teacher Education where he teaches subjects like Professional Education, mathematics education courses and mathematics courses. He research focus on problem-posing particularly on guided or structured way of creating problems for teachers in secondary education. 

Louida Patac, Surigao Del Norte State University

Louida Patac is currently the dean of the College of Arts and sciences. Her research focus is on mathematics proof understanding, problem-solving strategies used by pre-service teachers and content knowledge for teaching mathematics.

Published

2025-10-05

How to Cite

Patac, A. J., & Patac, L. (2025). Students Conceptual Mode and Analytical Thinking: Its Role During Mathematical Problem Posing and Solving. Journal of Honai Math, 8(2). Retrieved from https://journalfkipunipa.org/index.php/jhm/article/view/749

Issue

Vol. 8 No. 2 (2025): Journal of Honai Math

Section

Articles

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Copyright (c) 2025 Adriano Patac Jr, Louida Patac

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