Abstract
Problem-based learning competence is one of the most important competencies of mathematical competence. Many researchers believe that this capacity is a factor that directly affects the development of students' competencies and qualities. Among the components of problem-based learning competencies, the generalization of the problem is one of the key factors. Especially generalization of problems about exponential functions and logarithmic functions is still an open issue, which is rarely interested in research. Our research is carried out to identify and analyze factors of problem-based learning competence through generalizing the actual problems on the topic of exponential and logarithmic functions in Vietnam. The questionnaire survey method with 47 high school teachers in Ho Chi Minh City, Vietnam, shows that 10.64% of teachers think that the teaching method of problem-based learning competence is of little importance; 25.53% think it is important and 63.83% think it is very important. We conducted experiments with 89 students and processed analytical data using SPSS software. From the results of qualitative and quantitative analysis, students showed interest and fascination with the generalized teaching method of the actual problem. The test results showed that the experimental class had a much higher score than the control class. The research also provides a table comparing the differences between problem-solving and discovery teaching with teaching to develop problem-based learning competence; the process of teaching generalizations as well as examples illustrating practical problems on the topic of exponents and logarithmic functions. Research results also show that students are excited, proactively discover and learn from real-life problems more than before and do more practical issues. The findings from the research have important implications in fostering problem-based learning competence through generalizing practical problems on the topic of exponents and logarithms for students.
Highlights
In the world, there are many pieces of research on competency as well as teaching towards capacity development, especially problem-solving capacity in mathematics and other subjects.Deborah (2009) in the Doctoral Dissertation “A problem-posing intervention in the development of Fostering Problem-based Learning Competence through Teaching the Generalization of Practical Problems on the Topic of Exponential and Logarithmic Functions problem-solving competence of underachieving, middle-year students”, mentioned issues related to the competence to solve problems of high school students with average academic performance
We focus on teaching methods towards the development of problem-based learning competence
From the results in the process of conducting pedagogical experiments, it shows that the implementation of fostering problem-based learning competence through teaching the generalization of practical problems on the topic of the exponential function and logarithmic function is feasible and effective
Summary
Deborah (2009) in the Doctoral Dissertation “A problem-posing intervention in the development of Fostering Problem-based Learning Competence through Teaching the Generalization of Practical Problems on the Topic of Exponential and Logarithmic Functions problem-solving competence of underachieving, middle-year students”, mentioned issues related to the competence to solve problems of high school students with average academic performance. The author argues that participation in questioning activities can facilitate their math learning. Participating in these activities helps them improve their ability to solve problems significantly. Syaifuddin (2017) conducted the study “Increasing Problem Solving Competence through Problem-Based Learning Model and Scientific Approach” which was designed based on the classroom activities of the 8th-grade students of Muhammadiyah Middle School in Batu Malang. Research results show that the practice of teaching math with problem detection and solving teaching methods can enhance learning activities and math problem-solving abilities for students. [3]
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