# THE DEVELOPMENT OF MATHEMATICS LEARNING ACHIEVEMENT ON THE TOPIC OF SOLVING QUADRATIC FUNCTION GRAPHS OF MATHAYOM 3 STUDENTS BY USING THE GEOGEBRA PROGRAM TOGETHER WITH POLYA'S PROBLEM SOLVING PROCESS

## Main Article Content

## Abstract

This research used GeoGebra program and organized learning management activities in accordance with Polya’s problem-solving process to develop mathematical learning achievement by solving problems in quadratic function graphs. With the help of GeoGebra program and step-by-step practice of problem-solving techniques using Polya’s problem-solving process, the aforementioned learning management system increases students' enthusiasm and interest in learning about graphs. Consequently, it encourages students to comprehend the knowledge of quadratic function graphs in mathematics efficiently, gain a more thorough comprehension of them, and develop their skills in solving problems. The target group used in the research is 14 Grade 9 students studying in the first semester of the academic year 2023 at Chumchonyodkaengsongkhro School, Namon District, Kalasin Province, which obtained purposive random sampling. The tools used in the research were lesson plans using GeoGebra with Polya’s problem-solving process, learning achievement tests, and a satisfaction questionnaire. The statistics used in the data analysis include mean (), standard deviation (SD), percentage, and t-test statistics. The results of the research found that: 1) the results of the efficiency of the lesson plans using GeoGebra program with Polya’s problem solving process are equal to 73.75/74.64, which is higher than with the specified criteria, 2) The post-test scores’ learning achievement using GeoGebra with Polya's problem-solving process was higher than the pre-test scores using GeoGebra with Polya's problem-solving process, with statistical significance at the .05 level, and 3) the satisfaction of students with learning management using GeoGebra program with Polya’s problem-solving process is at a high level with an average of 4.31 and a standard deviation of 0.81.

## Article Details

*Journal of Industrial Education*,

*23*(1), 74–83. https://doi.org/10.55003/JIE.23111

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

"The opinions and contents including the words in papers are responsibility by the authors."

"ข้อคิดเห็น เนื้อหา รวมทั้งการใช้ภาษาในบทความถือเป็นความรับผิดชอบของผู้เขียน"

## References

Insiri, S., Tannin, S., Thongsomnuk, I., & Neammalai, P. (2022). The development of the open approach learning management plan to improve the mathematical achievement learning on the topic of two-dimensional and three-dimensional geometry shapes using GeoGebra program for the First Grade students of Khoa Yoi Witttaya School. Suan Sunandha Rajabhat University, 6(2), 14-24. (in Thai)

Kanachan, J., Kaewkhamson, K., Nongharnpituk, P., & Khansila, P. (2020). A study of learning achievement in the applications of derivative topic for Grade-12 students taught by incorporating GeoGebra program into mathematics problem-solving based on Polya's method. Journal of Science & Science Education, 3(1), 73-83. (in Thai)

Khamplare, P., Kamplar, E., Jansangkrajang, K., Suwansri, J., & Prasatpinyo, K. (2020). Apply the GeoGebra program to supplement learning activities by Polya method on applications of integrals. Academic Journal of Management Technology, 1(1), 80-89. (in Thai)

Khaokunchon, R., Saensri, O., Khansila, P., & Nongharnpituk, P. (2020). Development of the mathematics learning achievement in solving of derivative problems topic for Grade-12 students base on CIPPA model emphasizing Polya's problem solving processes. Journal of Science & Science Education, 3(2), 116-124. (in Thai)

Khongpinit, R,. Phattarachaleekul, M., & Chiangpradit, M. (2021). Development of mathematics learning activities base on Polya's method with GeoGebra program to enhance mathematical problem solving on rectangles for Prathomsuksa 4 students. Journal of Education Rajabhat Maha Sarakham University, 18(3), 215-226. (in Thai)

Ministry of Education. (2017). Indicators and core learning content for the mathematics learning group. Author. (in Thai)

Polya. (1973). How to solve it. Princeton University.

Phusrion, S. (2023). The development of math skills exercise on graphs of quadratic functions using GPAS 5 steps with techniques KWDL promoting mathematics communication abilities for the Ninth Grade students of Muangphonpittayakom School. Journal of Buddhist Philosophy Evolved, 7(2), 219-230. (in Thai)

Samang, W., Thongjua, P., & Jitgaroon, P. (2017). The development of mathematics ability in word problems solving by learning management based on Polya method of Prathomsuka 6 students. Humanities and Social Sciences Journal of Graduate School, Pibulsongkram Rajabhat University, 11(1), 52-61. (in Thai)

Sichiangha, A., Soijit, P., & Chansaengkrachang, K. (2021). Development of learning activities for mathematical problem-solving through GeoGebra program with ploblem-based learning activities. Journal of MCU Nakhondhat, 8(8), 31-42. (in Thai)

Sriha, W., Khansila, P., & Thienyutthakul, S. (2023). The effect of using GeoGebra program in process learning on Surface Area and volume of Eighth-Grade students. Journal of Academic Surindra Rajabhat, 1(4), 1-13. (in Thai)

Suranna, M., Khansila, P., & Nongharnpituk, P. (2023). The development of problem-solving ability on addition and subtraction of Grade-4 students using Polya's problem solving process with Bar model. Journal of Science & Science Education, 6(2), 269-279. (in Thai)

Wattanarat, N., & Panawong, C. (2023). The development of learning activities by Polya's with socratic questioning techniques to enhance mathematical problem solving skills on the topic of percentage for Grade 7 students. Journal of Modern Learning Development, 8(12), 103-120. (in Thai)

Worasan, P., & Tunaphan, M. (2018). Development of mathematics learning activities by using GeoGebra program on polynomial factorization for Mathayomsuksa three students. Journal of Education, 29(1), 60-71. (in Thai)

Worasarn, J., Nongharnpituk, P., & Khansila, P. (2019). Development of learning activities emphasizing mathematical processes using GeoGebra program on system of linear equations with two variables topic for Grade-9 students. Journal of Science and Science Education, 2(1), 34-42. (in Thai)