Effects of Using Open Approach on Mathematical Problem-Solving Ability of Arithmetic Series of 11th Grade Students

Abstract

Background and Aims: Mathematical problem-solving ability is an important skill for learning mathematics. The students should always develop and practice their ability to solve mathematical problems. Designing learning management using Open approach methods in the mathematics classroom makes students discover situations or problems that cause students to think analytically synthesize and understand the problems to arrive at answers from a variety of solutions. The answers may not be the only answer. Therefore, this research aims to study the mathematical problem-solving ability regarding arithmetic series of 11th-grade students by organizing learning using an open approach method

Methodology: The target group used in this research is 11th-grade students, semester 2, academic year 2023, Wisetchaichan Tantiwitthayapoom School, Ang Thong Province, totaling 36 students which is obtained through specific selection, were organized by learning using the open approach methods. The research tools consisted of; (1) the lesson plan using an open approach method on the topic of arithmetic series, and (2) a mathematical problem-solving ability test on the topic of arithmetic series. Quantitative data analysis uses a calculation of the arithmetic mean, percentage, and mode from the test results. Qualitative data analysis was used to analyze traces of student problem-solving from recording data in activity sheets and tests using content analysis according to the mathematical problem-solving framework.

Results: It was found that; (1) the majority of students, 44.44 percent, had a very good level of mathematical problem-solving ability. (2) Most students can choose the correct formula, define variables to lead to finding the answer, provide reasonable reasons to find answers and proceed to find answers correctly.

Conclusion: Target group students who are taught using open approach methods have a mathematical problem-solving ability at a very good level. This is because the open approach method emphasizes allowing students to create knowledge and practice until learning on their own. It stimulates students to find solutions to mathematical problems and provides opportunities for students to learn according to their potential in response to the abilities that differ between individuals by relying on the help of teachers who provide advice, guidance, and support for students to manage themselves.