• Communications of Mathematical Education
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• v.11
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• pp.201-233
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• 2001

보통 문장제(일량, 거리, 속도 문제, 시계 문제, 농도 문제, 개수 세기, 측도 영역)는 초등학교부터 반복하며 나오며 대학 수학 능력 시험에서는 외적 문제 해결능력으로 측정되기도 한다. 문장제를 해결하는데는 사고가 여러 단계로 이루어져야 한다. 따라서 일반적으로 문장제는 난해하므로, 조직적이고 전문적인 학습지도가 이루어져야 한다. 하지만 입시위주의 교육 등 여러 여건상 잘 이루어지지 않고 있는 것이 현실이다. 본 연구에서는 문장제의 문제 해결에 필요한 해결요소를 발견하고 저해 요인을 없앨 수 있는 지도 방안으로서 소집단 토의학습에 문제해결 전략을 이용하여, 효율적인 문장제 지도 방안을 연구하고 상이한 문제에 접근하는 방법, 문제를 이용하는 방법 등을 토의학습을 통하여 다양한 풀이방법을 해결하면서 이를 통하여 사고력을 신장할 수 있도록 연구한다.

• Journal of Educational Research in Mathematics
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• v.21 no.1
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• pp.87-103
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• 2011

The purpose of this paper is to investigate the effects on academic achievement for university basic mathematics in order to improve the problem-solving abilities of low achievement students in university general mathematics. In this paper, we suggest effective management strategies and teaching-learning methods according to level-based classes with utilizing scholastic level assessment, students survey, Mathematics Cafe and tutorial program, and also managing demonstration classes which are using Webwork system for assignments and evaluating the class.

• East Asian mathematical journal
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• v.26 no.2
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• pp.219-232
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• 2010

The main purpose of this work is to suggest a new approach to teaching general topology to undergraduate students. First, we change the order of contents. Usually, we introduce definitions, examples, theorems, and problems in this order. But, showing familiar examples of some concept of topology prior to the definition of one is the best method so far as I know from teaching experience of topology, which students feel very hard because of its abstractness. For more efficiency, mathematics-clubs each consisting of three or four students in topology course are established. This makes students very positive in topology class.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.509-525
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• 2016

This study is a follow-up study of the previous research for teacher education(Kim Nam Hee, 2006, 2009, 2013, 2014). This study was conducted with third grade students of the college of education in 2016. In this study, we guided to allow pre-service teachers to develop their teaching research ability and teaching practical skills using the results obtained from the in-service teachers training courses. Processes mainly performed in this study are as follows; learning the theory on Socrates' method, case study for thought experiment activities, instructional simulation using a Socrates' method, class analysis, textbook analysis, peer evaluation, self-assessment. Observing tutorial examples by in-service teachers, pre-service teachers were expanding their limited knowledge and experience. By analyzing the results obtained from this research processes, we checked the points to put more attention in future pre-service teachers education.

• School Mathematics
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• v.12 no.4
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• pp.493-506
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• 2010

In this study, we conducted classroom activities that are exploring and explaining visualized materials for problem solving of school mathematics with pre-service teachers in 2007~2009. After finishing these classroom activities, pre-service teachers recorded an afternote that includes changes of their thinking about mathematics and mathematics education through these activities in this study. We collected various opinions of pre-service mathematics teachers. From the analysis these data, we searched educational effects of our classroom activities. Through conducting the practice like these classroom activities of our study, pre-service mathematics teachers will have an opportunity of a practical training that supports the teaching of mathematical problem-solving. Moreover their PCK will be enhanced. Also, They will learn a good way to realize the aim of school mathematics curriculum.

• Communications of Mathematical Education
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• v.21 no.3
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• pp.483-497
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• 2007

It is necessarily required to improve how the curriculum of general mathematics and teachinmethod should be managed at university level due to students' avoidance to mathematics and science, various types of college entrance system and change of environment of education, etc. This paper provides the levelled teaching method to overcome the differences of students in academical sense and suggests effective teaching and learning method for general mathematics along with the appropriate teaching materials for each level of students.

• Journal of the Korean School Mathematics Society
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• v.21 no.2
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• pp.141-160
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• 2018

In order to propose effective learning methods to teach basic mathematics course for students of business administration, we conducted the survey on recognition and attitude on mathematics subjects, and analyzed academic achievements of the business mathematics as a basic mathematics course in relation to the results of the survey. First, we investigated learning contents and problems difficult for students to understand in the course, and presented the instructional method and significance of them with examples. These learning contents and problems were collected from the students using the mathematics cafe. Furthermore, we analyzed types of the incorrect answers on the midterm and final examinations in the business mathematics. Although it is difficult to generalize the finding to all of the business administration students due to differences in academic level and educational environment, much work has been put in to present learning method of the business mathematics for students of business administration.

• School Mathematics
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• v.8 no.2
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• pp.107-121
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• 2006

The purpose of this study is to understand various theories of cognitions of mathematics and to compare the difference between students in mathematics education and professors who teach them in their cognition of mathematics. For this purpose, a survey of 'cognitions of mathematics' was done to the students(future teachers) and professors who taught them in the capital area, and the results was statistically analyzed. It shows that professors have almost all of things in common with students in their cognitions of mathematics except some issues such as 'there are usually more than one way to solve mathematical tasks and problems,' or 'It is indispensible for mathematics to be definitional rigor,' which are statistically significant. Many theoretical and empirical grounds were supported for the differences in their responses. The study has, eventually, given valuable suggestions to lead people's attitudes and cognitions of mathematics to a deeper level.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.193-205
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• 2014

This study examined the effect of coaching based on private tutoring on students' learning ability and academic achievement in university mathematics education. Those in the coaching group showed statistical significance in academic achievement compared to those in the non-coaching group. In addition, the coaching was found to be more effective for those with poor academic performance or women than those with excellent academic performance or men respectively. Due to limitations on survey time and number of respondents, it is difficult to draw a general conclusion about the effect of coaching in university mathematics education. Still, it is significant that the study applies coaching as a method to teach students university mathematics for the first time and the results are in consistent with those of previous studies on other subjects.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.467-482
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• 2023

In this paper, we present our new teaching and learning materials on gradient descent method, which is widely used in artificial intelligence, available for college mathematics. These materials provide a good explanation of gradient descent method at the level of college calculus, and the presented SageMath code can help students to solve minimization problems easily. And we introduce how to solve least squares problem using gradient descent method. This study can be helpful to instructors who teach various college-level mathematics subjects such as calculus, engineering mathematics, numerical analysis, and applied mathematics.