The Effect of Applying the PDCF Model on the Performance of the General Mathematical Problem-Solving
محورهای موضوعی : فصلنامه ریاضیFarshid Mirshahi 1 , Zahra Shokooh Ghazani 2 , Ahmad Shahvorani Semnani 3
1 - Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran.
2 - Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran,
3 - Department of Mathematics, Faculty of Converging Sciences and Technologies, Islamic Azad University, Science and Research Branch, Tehran, Iran.
کلید واژه: Mathematics Education, Problem-Solving, Continuous Improvement Process,
چکیده مقاله :
Problem-solving is a primary and fundamental aspect of mathematics education and learning. Problem-solving can strengthen the connection between mathematics and other branches of science and has been a fundamental and often controversial topic of research for several decades. The present research aims to introduce the new PDCF model and examine its impact on improving the performance of general mathematics problem-solving among university students. The present research method is quasi-experimental. The target group for this purpose was the University students, who were randomly selected into two groups, including the experimental and the control groups. The proposed four-stage PDCF model was applied to the experimental group, but the control group was examined for general mathematics problem-solving performance without any educational intervention. The tools used included a researcher-made general mathematics test in three stages of the proposed model. Additionally, a researcher-made feedback form was provided after each test.The findings of the present research indicate that in the second cycle of the new PDCF model in the experimental group the average scores in the experimental group significantly increased compared to the control group, which did not undergo the model. Levene's test showed that at the beginning of the study and before any intervention, the two groups had equal variance. The results of the Shapiro-Wilk test indicated that the data had good normality.
Problem-solving is a primary and fundamental aspect of mathematics education and learning. Problem-solving can strengthen the connection between mathematics and other branches of science and has been a fundamental and often controversial topic of research for several decades. The present research aims to introduce the new PDCF model and examine its impact on improving the performance of general mathematics problem-solving among university students. The present research method is quasi-experimental. The target group for this purpose was the University students, who were randomly selected into two groups, including the experimental and the control groups. The proposed four-stage PDCF model was applied to the experimental group, but the control group was examined for general mathematics problem-solving performance without any educational intervention. The tools used included a researcher-made general mathematics test in three stages of the proposed model. Additionally, a researcher-made feedback form was provided after each test.The findings of the present research indicate that in the second cycle of the new PDCF model in the experimental group the average scores in the experimental group significantly increased compared to the control group, which did not undergo the model. Levene's test showed that at the beginning of the study and before any intervention, the two groups had equal variance. The results of the Shapiro-Wilk test indicated that the data had good normality.
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