The Role of Students’ Intuition in Solving Basic Mathematical Problems in Mathematics Department of Education Faculty of Muhammadiyah Cirebon University

Abstract

This study was conducted using qualitative approach, which aims to determine the role of students' intuition in solving basic mathematical problems. Polya problem-solving steps was used for data collection followed by in-depth interview towards the subject of the study. The interview was conducted to know whether the subjects solve the problems intuitively or not. The subjects of the study are the first semester male students of Muhammadiyah Cirebon University. The result of this study indicates the role of mathematics student intuition in solving basic mathematics problems as follows: (1) in the process of learning basic mathematical problems, the subjects learn some basic mathematical problems intuititively and (2) in making problem-solving plans, subjects tend to use the role of direct intuition.In making plans and applying mathematical problem, the subjects solve some problems without the role of intuition.

Improving the effectiveness of senior graders’ education based on the development of mathematical intuition and logic: Kazakhstan’s experience

“…Further, the results produced by regression and correlation analysis revealed that the influence of mathematical intuition and logic on the students' problem-solving ability is positive and moderate. Intuition is a mental and cognitive procedure to understand the information within the form of exposing, capturing, and uncovering knowledge or ideas based upon subconscious feelings, mixed with immediate experience and prior knowledge (Arwanto et al, 2018). In today's world, students live within a technology and information-based society where they must have the ability to critically and logically think regarding complex problems and new situations.…”