• Communications of Mathematical Education
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• v.23 no.4
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• pp.961-976
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• 2009

The purpose of this study is to revise the curriculum of mathematics, which is the basic for the engineering studies, especially for the disciplines of the electronic engineering, computer science, computer engineering, mechanical engineering, environmental engineering, civil engineering and architecture. Another goal of this research was to integrate a computer software, MATLAB into a mathematics course so that the mathematical concepts and theories in the course can be visualized to help students understand some difficult subjects and enhance their interest in mathematics.

• Journal of Engineering Education Research
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• v.24 no.3
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• pp.50-57
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• 2021

Although the mathematics education process in AI education is a very important issue, little cases are reported in developing effective methods on AI and mathematics education at the university level. The universities cover all fields of mathematics in their curriculums, but they lack in connecting and applying the math knowledge to AI in an efficient manner. Students are hardly interested in taking many math courses and it gets worse for the students in humanities, social sciences and arts. But university education is very slow in adapting to rapidly changing new technologies in the real world. AI is a technology that is changing the paradigm of the century, so every one should be familiar with this technology but it requires fundamental math knowledge. It is not fair for the students to study all math subjects and ride on the AI train. We recognize that three key elements, SW knowledge, mathematical knowledge, and domain knowledge, are required in applying AI technology to the real world problems. This study proposes a modular approach of studying mathematics knowledge while connecting the math to different domain problems using AI techniques. We also show a modular curriculum that is developed for using math for AI-driven autonomous driving.

• School Mathematics
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• v.16 no.3
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• pp.471-489
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• 2014

In this study, we carried out mathematics teacher-training course. The topic of this training course is the understanding of content area reading in school mathematics. The teacher-training course is planned to guide mathematics teachers can perform effectively the teaching of content area reading. In particular, we illustrated the pre-service mathematics teacher education practice. Mathematics teachers investigated various teaching strategies that can lead their students read reading materials related to mathematics effectively. In this training courses, teachers reflects on their own experience and they have an opportunity to learn the new strategies that improve their teaching methods. Teacher educator and in-service teachers share and discuss their practices, they have a meaningful learning experiences. In this study, we presented the processes of the teacher-training course and the results of practice. Furthermore, on the basis of the limitations of this study, we suggested recommendations for the future teacher training program.

• Education of Primary School Mathematics
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• v.20 no.1
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• pp.101-115
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• 2017

This study was to analyze motivations in the mathematics lessons from the perspectives of preservice elementary school teachers. The participants were three groups of 62 preservice elementary teachers who were sophomore or junior students in Seoul city in Korea. Two groups of the students were enrolled at teaching and learning mathematics courses, whereas one group of students were at mathematics problem solving course. They were randomly assigned to elementary schools for their student teaching. They were required to observe mathematics lessons focusing on motivations during their participating at the two-week student teaching period. The preservice teachers were asked to observe and submit the reports of the observation in the mathematics lesson. The researcher suggested a guideline of observation and analyzed the reports according to the categories those were suggested in the guideline. The results of the analysis on the reports are summarized as follows. First, the preservice elementary school teachers considered the purpose of motivations as attracting students' interest. Second, the major ratio of motivations were attracting students' attention in the mathematics lessons. Third, the duration average time was 5 minutes 50 seconds and only limited materials for the motivations. At last, most mathematics lessons need to stimulate students' curiosity that fits to the objectives of the lessons. The researcher suggests that we need to develop various motivations in mathematics lessons with which teachers should subtlely connected to the objectives of the lessons.

• Journal of the Korean School Mathematics Society
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• v.22 no.3
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• pp.277-302
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• 2019

In this study, we identified the effects of Self-Reflective Note(SRN) strategy, which used on 'college mathematics' courses, operated as a liberal arts curriculum course in university. For this purpose, we used SRN strategy on 'college mathematics' 3 classes, 'college mathematicsII' 1 class enrolled 95 students, and then analyzed the data. For identifying a change of students' learning, we conducted surveys related to the affective domain, core competencies, satisfaction. From this, we identified the followings. First, the interest, self-confidence, future expectation of students who attended classes in which SRN strategy is used are positively changed. Second, core competencies(self-directed ability, communication ability) of students who attended classes in which SRN strategy is used are improved. Third, the students who attended classes in which SRN strategy is used evaluated such as mathematics learning using the strategy help their mathematics study. Fourth, the students who attended classes in which SRN strategy is used evaluated such as the strategy improved their learning habit, supplemented their weakness, and activate realistic communication between professor and them.

• Education of Primary School Mathematics
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• v.18 no.1
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• pp.1-16
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• 2015

This study is a comparative study on the Korean and Chinese elementary school mathematics curriculum. Korea and China have announced a new mathematics curriculum in 2011, and have recently carried out in the whole school year. Korea and China are the countries to manage the national curriculum. The comparison with China is significant because of the similarity of our tradition and culture. In addition, the influence of Chinese education has been increasing gradually. Thus, the curriculum comparison between China and Korea has a significant value. Through this study, I extract the significant implications of mathematics education in Korea. This study can be summarized as the following. First, I have analyzed the elementary mathematics curriculum document systems in Korea and China. Second, I compared the goals of mathematics education in Korea and China. Third, this study compared the content areas and learning in elementary school mathematics curriculum in Korea and China. Fourth, I have analyzed the teaching and learning methods and the assessment of Korea and China. Finally, we compared and analyzed the proposed points for action set out in elementary school mathematics curriculum courses in Korea and China. The results of this study are expected to provide significant implications for the new curriculum document structure and mathematical contents of Korea.

• The Korean Journal of Community Living Science
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• v.22 no.4
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• pp.519-533
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• 2011

The objective of this study was to follow up changes in knowledge related to the mathematics education field work of preliminary early childhood teachers. The subjects of this research were 28 students who were taking mathematics education courses in early childhood education departments at various universities. This research ran for 15 weeks and was conducted through field work relating to mathematics education. The study collected data from pre-service teachers' knowledge, the diagram of concept, writing journals, interviews, and materials from the internet. Through this procedure, pre-service teachers' knowledge for mathematics education could later be expanded, ordered, and integrated. In addition, pre-service teachers not only understood the importance of contents and levels of lesson plans, but also learned how to utilize educational media to make effective lessons. Furthermore, pre-service teachers realized that the mathematical concepts of students could be expanded depending on the contents and methods of pre-service teachers' lesson plans and students could then apply these concepts into daily situations.

• Journal of Engineering Education Research
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• v.22 no.4
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• pp.22-31
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• 2019

This study aims to elucidate the relationship between physics and mathematics to predict achievement for the college level of engineering courses. For the last 4 years, more than 3,000 engineering college freshmen of this study took the diagnostic tests on three subjects, which were physics, mathematics, and chemistry before enrollment. We studied how strongly these diagnostic scores can predict each general college course grades. The correlation between the physics diagnostic scores and the course grades in physics was .264, which was significantly lower than the correlation between the mathematics scores and the physics grades, .311. This stronger prediction of the mathematical diagnostic scores for the general course grades was not found when predicting the grades in chemistry. We therefore conclude that mathematical preparation can unexpectedly predict future achievement in physics better than physics preparation due to the academic interrelationships between mathematics and physics.

• Educational Technology International
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• v.25 no.1
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• pp.67-92
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• 2024

This study aims to verify the practical effectiveness of learning management system (LMS) by introducing a LMS enhancing digital assessment utilizing automatic item generation in order to strengthen college student's mathematics performance. Teaching assisted with digital assessment in the LMS was applied to college mathematics classes, and the research question is whether or not students in the classes utilizing the LMS perform better than the regular classes. In particular, a calculus course, which is the foundation of important artificial intelligence technology in the future, was utilized in this study. The participants of this study were 248 freshmen in science and engineering who were taking calculus courses at a small to mid-size university. A total of 156 freshmen were selected after applying a propensity score matching method (PSMM), 78 from classes utilizing the LMS and 78 from regular classes without the LMS assisted with the digital assessment. As a result, it was found that there was a statistically significant difference in the math academic growth of students who used the LMS and those who did not. In other words, when LMS was used in calculus, students' academic growth was greater. The results of this study are meaningful in that they observed students' academic growth and confirmed that LMS enables a positive role in students' academic growth. In addition, if digital assessment is strengthened and LMS that enables individualized learning analysis is introduced and implemented in educational institutions, it is expected to play a major role in strengthening students' academic performance.

• Communications of Mathematical Education
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• v.23 no.4
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• pp.977-998
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• 2009

In this article, we give a comparative study on the last 300 years of USA and Korean tertiary mathematics. The first mathematics classes in United States were offered before July, 1638, but the real founding of tertiary mathematics courses was in 1640 when Henry Dunster assumed the duties of the presidency at Harvard. President Dunster read arithmetics and geometry on Mondays and Tuesdays to the third year students during the first three quarters, and astronomy in the last quarter. So tertiary mathematics education in United States began at Harvard which is the oldest college in USA. After 230 years since then, Benjamin Peirce in 1870 made a major and first American contribution to mathematics and got an attention from European mathematicians. Major change on the role of Harvard mathematics from teaching to research made by G.D. Birkhoff when he joined as an assistant professor in 1912. Tertiary mathematics education in Korea started long before Chosun Dynasty. But it was given to only small number of government actuarial officers. Modern mathematics education of tertiary level in Korea was given at Sungkyunkwan, Ewha, Paichai, and Soongsil. But all college level education opportunity, particularly in mathematics, was taken over by colonial government after 1920. And some technical and normal schools offered some tertiary mathematics courses. There was no college mathematics department in Korea until 1945. After the World War II, the first college mathematics department was established, and Rimhak Ree in 1949 made a major and first Korean contribution to modern mathematics, and later found Ree group. He got an attention from western mathematicians for the first time as a Korean. It can be compared with Benjamin Peirce's contribution for USA.