Abstract
In Vietnam today, the general education program has shifted from teaching focusing on content and knowledge to teaching towards the development of students' competencies and qualities. Therefore, the ability to predict and solve problems is of special concern. However, the high school graduation exam format is multiple-choice. This results in the students' relatively weak ability to reason and solve problems. Besides, students are quite surprised when getting used to real problems. Our research is done to analyze the factors that affect students' erroneous reasoning as well as identify common errors in real problems. We surveyed 47 teachers and 163 students in Ho Chi Minh City by questionnaire. Research has shown that 65.96% of teachers and 50.92% of students think that it is very necessary to practice and develop the ability to predict and solve problems through teaching to predict and correct mistakes in real-world problems, but most teachers do not fully understand the ability to predict and solve problems in teaching practical problems. Students' manifestations of each type of mistake in teaching the ability to predict and solve problems are not high and uneven. The research results also show that there are two main groups of factors affecting the ability to predict and correct mistakes through practical problems: first, the problem is not true to reality; Second, mistakes in reasoning to solve real problems. Findings from the research have important implications for renewing teaching methods in Vietnam.
Highlights
Competence is a concept dating back more than 3,000 years
According to the Program for International Student Assessment (PISA), “Mathematical Literacy of high school students is the ability to study, comprehend, and research mathematics in the high school curriculum; recognize the meaning and role of mathematical knowledge in life; apply and develop mathematical thinking to solve practical problems, respond flexibly to meet the needs of present and future life; is the ability to analyze, reason, generalize, and exchange information through posing, formulating and solving mathematical problems in different situations and circumstances, in which the emphasis is on process, knowledge, and activities ”. [11]
We have collected the opinion of 47 high school teachers in Ho Chi Minh City, Vietnam through the questionnaire: “In your opinion, is it necessary to develop the ability to predict and solve problems on the topic of exponents and logarithmic functions for students through teaching in the direction of predicting and correcting the mistakes of real problems?"
Summary
Competence is a concept dating back more than 3,000 years. The concept of competency is most strongly explored and researched in the twentieth century. Intellectual labor requires the employee to know how to calculate, manage and control the work in the most optimal way. These factors are some of the main factors that make up the concept of competency. When World War I broke out, a pressing imperative in the military at that time was how to train merchants and Universal Journal of Educational Research 9(5): 1072-1082, 2021 technical staff to be capable of re-teaching skills to military amateurs. The concept of competency at this time was initiated in such a vocational field. The concept of competency at this time was initiated in such a vocational field. [1]
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