Open-access Problem Solving, Skills and Academic Performance when Teaching Mathematics

Abstract

This article shares the results of a study among 115 university students enrolled in a Mathematical Logic II course. The objective of this study was to determine if problem-solving methods influence cognitive skills development and help improve academic performance in a group of university students. The students were divided into two groups- the Experimental Group (EG) and the Control Group (CG) and were administered two knowledge tests – a pre-test and post-test. After the Experimental Group took the pre-test, they were taught the problem-solving method during 16 weeks. Upon completion of the course content, the students took a post-test. The collected data collected includes the grades from these assessments which were evaluated both qualitatively and quantitatively and analyzed through descriptive and inferential statistics. The pre-test and post-test mean scores for both groups was 11.25 (GE) and 11.64 (GC); and 15.08 (GE) and 11.42 (GC), respectively. Regarding the qualitative aspect, although the experimental group improved its calculation, variable identification, strategy design, deduction and inference skills, it did not reveal a significant improvement. An inferential analysis reveals a Pearson's coefficient equal to 0.771 and with a p-value of 0.000, thus proving the impact of using the applied method on cognitive skills development and improved academic performance.

Keywords Method; Mathematics; Cognitive Ability; Teaching; Learning

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None Universidad de Costa Rica, Sede Rodrigo Facio Brenes Facultad de Educación, San Pedro, Montes de Oca, San José Costa Rica, San José, San Pedro de Montes de Oca, San Jose, San Pedro de Montes de Oca, CR, 11501 , 2511-4518 , 2511-6123 - E-mail: revedu@gmail.com
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