Universal Journal of Educational Research Vol. 9(3), pp. 423 - 440
DOI: 10.13189/ujer.2021.090302
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Fostering Problem-based Learning Competence through Teaching the Generalization of Practical Problems on the Topic of Exponential and Logarithmic Functions

Ngoc-Giang Nguyen ^1,*, Huyen-Trang Pham ², Thi-Ngoc Tham Nguyen ^3
1 Faculty of Economic Mathematics, Banking University of Ho Chi Minh City, Vietnam
² Faculty of Primary Education, Hanoi Pedagogical University 2, Vietnam
³ Ho Chi Minh City, 28, Vietnam

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.

KEYWORDS
Teaching Problem-based Learning Competence, Practical Math, Exponential Functions, Logarithmic Functions

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ngoc-Giang Nguyen , Huyen-Trang Pham , Thi-Ngoc Tham Nguyen , "Fostering Problem-based Learning Competence through Teaching the Generalization of Practical Problems on the Topic of Exponential and Logarithmic Functions," Universal Journal of Educational Research, Vol. 9, No. 3, pp. 423 - 440, 2021. DOI: 10.13189/ujer.2021.090302.

(b). APA Format:
Ngoc-Giang Nguyen , Huyen-Trang Pham , Thi-Ngoc Tham Nguyen (2021). Fostering Problem-based Learning Competence through Teaching the Generalization of Practical Problems on the Topic of Exponential and Logarithmic Functions. Universal Journal of Educational Research, 9(3), 423 - 440. DOI: 10.13189/ujer.2021.090302.