• Journal for History of Mathematics
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• v.22 no.3
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• pp.207-254
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• 2009

We would like to give an introduction about Korean Tertiary Mathematics and curriculum in the early 20th centuryan Ttails like, when tertiary mathematics was introduced in Korea, who adiated it, and how it appeared in curriculum for college education were presented. From the late 19th century, the royal circle of the dynasty, officers, socd. Felites, intellectu. sculum in tand many foreatn my mionaries, who entered Korea, began to establish educational ulstitutions begulnearlfrom the nt80s. Kearl GoJongtannounced thescript for general education icentur. Most of the new schoo scadiated western mathematics as tcompulsory course in their curriculumiese introduced tertiary mathematics in most of the curriculumurse end curriculum in, lfrom nt85 to 1960. Since then, tertiary mathematics was tautit at most of the new private and public schools of each level and in colleges. We have investigated the history of Korean tertiary mathematics with its curriculum from 1895 to 1960.

• The Mathematical Education
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• v.42 no.2
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• pp.229-245
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• 2003

In this paper, we present a review of research perspectives and investigations in collegiate mathematics education from the four decades of development in the journal published by Korea Society of Mathematical Education. Research of mathematics education at the tertiary level, which had been a minor area in mathematics education, has made a significant development in the last decade in Europe md U.S.A. In this context, international journals for research in mathematics education were selected to comparatively examine and identify research trends and tasks in collegiate mathematics education. Based on the analysis of domestic at international journals, we present recommendations for further the development of Korean collegiate mathematics education research. First it is necessary to diversify the topics of educational research. Korean research of mathematics education at the tertiary level has been limited to the issues of curriculum developments, teacher education and computer technology. It is necessary to pursue more various topics such as conceptual development mathematical attitude and belief gender, socio-cultural aspect of teaching and teaming mathematics. Second, it is necessary to apply research methods for systematic investigations. It is important to note that international research of mathematics education introduces variety of research methods such as observation, interview, and survey in order to develop grounded theory of mathematics education. We end with pedagogical implications of the analyses presented and general conclusions concerning the perspectives for the future in collegiate mathematics education.

• 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.

• The Mathematical Education
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• v.44 no.3 s.110
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• pp.375-396
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• 2005

This paper reports on the main results of 3 study that compared students' beliefs, skills, and understandings in an innovative approach to differential equations to more conventional approaches. The innovative approach, referred to as the Realistic Mathematics Education Based Differential Equations (IODE) project, capitalizes on advances within the discipline of mathematics and on advances within the discipline of mathematics education, both at the K-12 and tertiary levels. Given the integrated leveraging of developments both within mathematics and mathematics education, the IODE project is paradigmatic of an approach to innovation in undergraduate mathematics, potentially sewing as a model for other undergraduate course reforms. The effect of the IODE projection maintaining desirable mathematical views and in developing students' skills and relational understandings as judged by the three assessment instruments was largely positive. These findings support our conjecture that, when coupled with careful attention to developments within mathematics itself, theoretical advances that initially grew out research in elementary school classrooms can be profitably leveraged and adapted to the university setting. As such, our work in differential equations may serve as a model for others interested in exploring the prospects and possibilities of improving undergraduate mathematics education in ways that connect with innovations at the K-12 level

• Journal of Digital Convergence
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• v.14 no.10
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• pp.53-60
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• 2016

This study investigated the effect of visual mathematics education using smartphones and immediate feedback through SNS on students' understanding of basic mathematical concept and academic achievement at the tertiary level. Researchers analyzed the test results of 214 students' mid-term and final examination in 4 classes consisted of 16 weeks' classes with two hours per week. Also their 30 questionnaire survey results were analyzed. The result reveals that classes using smartphones promoted understanding mathematical concepts and induced students' motivation and affirmative reaction. This study implies that an appropriate use of technology will support dynamic visualization of mathematical modeling and its interpretation, which enables students' active participation and deeper understanding.

• Journal of Digital Convergence
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• v.16 no.7
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• pp.213-222
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• 2018

The purpose of the study is to promote the expansion of educational environment and students' competence through the application of smart learning. In G University in 2017, 118 freshmen in the department of Chemical-bio engineering who were taking Calculus I class were divided into 2 groups of experimental and control group. The study analyzed the effect of the various learning experience using educational technology and the interaction in the class through SNS on students' visual understanding and academic achievement. The result shows that the students' academic achievement and satisfaction in the experimental group were higher than those in the control group. This verifies the potential of smart learning in the field of mathematics in the tertiary level and suggests strategies for high quality smart learning.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.251-266
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• 2015

The statement, 'Taking more mathematics would result a better mathematics teacher.' sounds plausible. However, it is questionable that how much of taking university level of mathematics such as abstract algebra and real analysis would affect to teach elementary mathematics well. Would a mathematician be a better teacher for elementary students to teach mathematics than who has been prepared to teach elementary mathematics? This paper reports the effects of opportunities to learn tertiary level mathematics and school level mathematics on pre-service primary school teachers' mathematics pedagogical content knowledge. The study analyzed Teacher Education and Development Study in Mathematics 2008 (TEDS-M 2008) database using multiple regression. Prospective primary teachers who have been prepared as generalist were the focus of the study. The results support future elementary teachers might need to have opportunities to revisit school mathematics they are going to teach.

• Journal of the Korean School Mathematics Society
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• v.21 no.4
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• pp.327-342
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• 2018

The purpose of this paper is to review the domestic research on mathematical modeling by using three dimensional mathematical modeling map composed of perspective axis, domain axis, level axis, and to give direction to mathematical modeling research. The findings of this study show that the domestic research on mathematical modeling focuses on application perspective, notions and classroom domain and secondary level, and that we need various studies with concept formation perspective, system domain, tertiary level, and teacher(education) level on the future work about mathematical modeling.

• The Mathematical Education
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• v.59 no.2
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• pp.167-183
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• 2020

This study is an analysis study on the number and operation area of middle school mathematics curriculum. This study is a literature analysis study that analyzes the historical transition process of number and operation area, and suggests the restructuring direction of mathematics learning contents for numbers and operation areas based on the results. In order to achieve this research purpose, the contents of the number and operation areas suggested from the 1st middle school mathematics curriculum to the 2015 revised middle school mathematics curriculum were considered. In addition, in this study, analysis of the mathematical learning contents of number and operation area was conducted. The details of the study are as follows. First, it was decided as a tertiary mathematics curriculum as a criterion for analysis. Second, a basic analysis framework was developed by subdividing the content of mathematics learning into content elements and terminology elements. Third, on the basis of the developed analysis framework, mathematics learning contents that are the core issues of number and operation area were extracted. Fourth, the extracted mathematics learning contents were compared with foreign curriculum. Finally, based on the analysis results, the direction of restructuring for the number and operation area of middle school was suggested. The results of this study are expected to be the basis for the development of a new curriculum.

• Journal of Digital Convergence
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• v.19 no.1
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• pp.1-10
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• 2021

The purpose of the study is to investigate the impact and analyze the effect of smart learning based class to on the students with low academic achievement level. The study performed in G University in 2018 among students taking calculus II class. It includes 16 students with low academic achievement level, whose grades were under C in the previous calculus I class. They belonged to special class consisted of very low academic achievement level and had to pass calculus II. 3D and AR were actively used in the class. The result shows that they got visual understanding of space, which revealed through analyzing SNS, mid-term and final examination, lecture evaluation. Also, smart learning based mathematics class utilizing smartphone's application elevated academic achievement level and influenced positively on the interest and attitude toward mathematics regardless of previous academic achievement level.