• The Mathematical Education
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• v.48 no.2
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• pp.191-206
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• 2009

In this study, we investigate the effects of the methods of time allocation in lecturing on the mathematical academic achievement of freshmen in institute of technologies. The subjects are 392 freshmen from three universities participated in ABEEK(Accreditation Board for Engineering Education of Korea). They belong to three groups in accordance with the methods of time allocation in lecturing; 75 minutes twice a week(79 students) and 150 minutes continuously once a week(77 students) (university 1 of 156 students), 100 minutes twice a week(56 students) and 200 minutes continuously once a week(60 students) (university 2 of 116 students) and 50 minutes and 100 minutes separately once a week(62 students) and 150 minutes continuously once a week(58 students) (university 3 of 120 students). The results of this paper are summarized as follows: Firstly, the achievement of separate time-allocation groups is higher than that of continuous time-allocation groups. Secondly, the achievement of middle class students and low class students has higher effects when they are taught by using the methods of separate time-allocation in lecturing. Finally, the achievement of groups using 75 minutes twice a week is higher than that of using 50 minutes and 100 minutes separately once a week. In conclusion, this study suggests that the method of separate time allocation in lecturing using 75 minutes twice a week could be an advisable means to help those who achieve middle and low scores in the first college mathematics.

• School Mathematics
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• v.8 no.3
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• pp.301-326
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• 2006

Teacher's competence in student assessment is an essential ability to mathematics teachers and should be improved qualitatively. This study suggests how college of education should make efforts in educating prospective teachers who will have competence in student assessment. First, $\ulcorner$Assessment of Mathematics Learning$\lrcorner$ must be set as a required subject. Second, the contents of the subject should be consisted to improve the competence of the prospective teachers in student assessment. Therefore, the contents based on the standards of teacher's competence in student assessment are suggested in this paper. Third, teaching methods should be practiced by using exemplary samples of teacher's assessment on students in addition to lecture.

• The Mathematical Education
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• v.53 no.2
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• pp.275-290
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• 2014

This study investigated the types of the 3D geometric thinking and spatial reasoning through the observation of the 2D representing activities for representing the 3D geometrical objects with preservice secondary mathematics teachers. For this purpose, the 43 sophomoric students in college of education were divided into 10 groups and observed their group task performance on the basis of the representation they used. Observed processes were all recorded and the participants were interviewed based on the task. As a result, the role of physical object that becoming the object of geometric thinking and spatial reasoning, and diverse strategies and phenomena of the process that representing the 3D geometric figures in 2D were discovered. Furthermore, these processes of representing were assumed to be influenced by experience and study practice of students, and various forms of representing process were also discovered in the process of small group activities.

• Communications of Mathematical Education
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• v.31 no.1
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• pp.71-84
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• 2017

Taylor series has a complicated structure comprising of various concepts in college major mathematics. This subject is a strong tool which has usefulness and applications not only in calculus, analysis, and complex analysis but also in physics, engineering etc., and other study. However, students have difficulties in understanding mathematical structure of Taylor series convergence correctly. In this study, after classifying students' mathematical characteristic into three categories, we use structural image of Taylor series convergence which associated with mathematical structure and operation acted on that structure. Thus, we try to analyze the understanding of Taylor series convergence and present the results of this study.

• Research in Mathematical Education
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• v.20 no.1
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• pp.1-9
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• 2016

An accurate evaluation of educational process is a promise for the progress of education, because evaluation provides a meticulous idea of what has actually been achieved as a result of education. However, for all its significance in the educational fields, there are not many discussions about evaluation in South Korea. We believe that in order to overcome this discrepancy, diverse evaluation theories along with a discussion about the merits or demerits or each theory should be introduced in South Korea. We propose that Eisner's educational evaluation model may suggest alternative ways of perceiving evaluation. Eisner's educational evaluation model, named educational connoisseurship and criticism, emerged as an approach to educational evaluation from the methods used in art and literary criticism.

• Journal for History of Mathematics
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• v.19 no.1
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• pp.65-78
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• 2006

The law of refraction, which is called Snell's law in physics, has a significant meaning in mathematics history. After Snell empirically discovered the refraction law $\frac{v_1}{sin{\theta}_1}=\frac{v_2}{sin{\theta}_2$ through countless observations, many mathematicians endeavored to deduce it from the least time principle, and the need to surmount these difficulties was one of the driving forces behind the early development of calculus by Leibniz. Fermat solved it far advance of others by inventing a method that eventually led to the differential calculus. Historically, mathematics has developed in close connection with physics. Physics needs mathematics as an auxiliary discipline, but physics can also belong to the lived-through reality from which mathematics is provided with subject matters and suggestions. The refraction law is a suggestive example of interrelations between mathematical and physical theories. Freudenthal said that a purpose of mathematics education is to learn how to apply mathematics as well as to learn ready-made mathematics. I think that the refraction law could be a relevant content for this purpose. It is pedagogically sound to start in high school with a quasi-empirical approach to refraction. In college, mathematics and physics majors can study diverse mathematical proof including Fermat's original method in the context of discussing the phenomenon of refraction of light. This would be a ideal environment for such pursuit.

• 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.

• Communications of Mathematical Education
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• v.27 no.4
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• pp.473-486
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• 2013

This study examines the learning styles of freshmen enrolled in a college of science and engineering, and analyses the relationship between learning styles and academic achievement in mathematics to provide basic data for the teaching-learning methods, which are more suitable to learning styles of students. For the purpose of this research, a reliability analysis of Kolb's LSI is applied to 282 freshmen enrolled in a college of science and engineering of the medium-sized university. The outcomes of this survey are followings. Firstly, students hold higher positions in the order of converger, assimilator, accommodator, diverger among 4 learning styles. Secondly, while there is a positive corelation between abstract conceptualization[AC] and academic achievement, there is a negative corelation between concrete experience[CE] and academic achievement. Thirdly, as for academic achievement in mathematics, converger is superior to assimilator and accommodator. Finally, the correlation between learning styles and academic achievement is different by demographic characteristics. Based on these results, this study suggests the necessity for various teaching-learning strategies, which are adjusted to both academic characteristics of mathematics and learning styles. Also, the need for teaching methods, which help students to develop effectively four learning cycles, is proposed.

• Journal of the Korean School Mathematics Society
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• v.21 no.4
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• pp.469-483
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• 2018

The purpose of this study is to find out how pre-service mathematics teachers should prepare for the teaching of probability and statistics in school mathematics and to help improve teacher education. To do this, questionnaires and evaluation of probabilistic and statistical curriculum were conducted for pre-service teachers, and regression analysis and correlation between them were examined. Through the investigation, the items with low evaluation results due to level of difficulty were extracted and analyzed. As a result, first, it is necessary to teach pre-service mathematics teachers with link the contents curriculum of college and secondary school about probability and statistics. Second, accurate diagnosis of pre-service mathematics teachers' understanding of probability and statistics is needed. Third, the misconceptions and causes of pre-service mathematics teachers were analyzed in detail. And suggests that various follow-up studies related to this are needed.

• Journal of Engineering Education Research
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• v.8 no.1
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• pp.84-98
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• 2005

This study is on improving the general engineering education for enhancing the quality of engineers at a local engineering school in which the students are not highly qualified for engineering education. Based on the analysis on the current engineering education by asking questions to professors, students and alumni of Hongik College of Science and Engineering, we have set the basic educational philosophy as educating practical engineers and have decided the goals of basic engineering education as changing to student oriented education, enhancing the field adaptation capability, improving the problem solving ability and introducing engineering design courses. For achieving the foregoing goals, we have changed several basic engineering courses. Mathematics, science courses, computer related courses, English, communication skill related courses are strengthened, but general college education courses are reduced. We also have encouraged students to participate the classes actively and study efficiently, think logically and creatively. For the operational details, we have tried to impose less courses to freshmen and sophomores, to impose the prerequisite courses, to activate summer and winter schools. Finally, we have tried to find the ways to support continuous improvement on the basic engineering education.