• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.679-695
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• 2014

In this paper we survey the career awareness, demand, and preparation of the students of the department of mathematics education and provide basic data for establishment of career diversification strategies. For this we examined the followings: (1) department selected time and motivation, (2) satisfaction with the selection and training courses, (3) hope and change for a career after graduation, (4) related jobs and career awareness. As a result, most of the students over the course of the high school and middle school chose a career in mathematics education, the biggest motivation appeared to be due to selection was deemed suitable for individual aptitudes. Due to this reason he/she is satisfied with the selection and training process and the curriculum of mathematics education appeared to think it would be helpful to his/her career. It can be observed that the number of students increased to think of another job, depending on the grade ascent. Mostly due to the difficulty of major study as grade up, high competition and low success rate of teacher employment test, employment reduction in the number of teachers.

• School Mathematics
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• v.5 no.3
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• pp.315-342
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• 2003

The goals of this study are basically to analyze the lectures related to mathematics education in national universities of education and in education training institutes, and ultimately to suggest the collaboration in the lectures related to mathematics education in national universities of education and education training institutes. In order to achieve the above goals, five universities were selected. Summing up these results, we suggest several ways to collaborate the mathematics education lectures in national universities of education and education training institutes. First, the training education in the national university of education has to offer more lectures which deal with the theory related with mathematical education and the fundamental area of mathematics. In addition to this, teaching in contents in terms of the area has to focus on the background knowledge related to the teaching contents. Second, based on the training education, the assigned education training institute has to reflect the periodical and social condition. In addition to this, it has to reflect the real condition around the school environment. With those efforts it has to make new kinds of lectures which concentrate on the recent trend or the understanding of the theory related with mathematical education. In this case, both obligatory and elective courses have to be offered. Third, the education training institute responsible for the staff development program has to open lectures with the contexts of real time teaching activities based on the experiences of the teachers. In this case, one or two particular subjects have to be dealt with in depth and lecturers have to be selected who are suitable for the lectures.

• East Asian mathematical journal
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• v.27 no.4
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• pp.381-389
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• 2011

The flexible mathematical thinking - the ability to generate and connect various representations of concepts - is useful in understanding mathematical structure and variation in problem solving. In particular, the flexible mathematical thinking with the inventive mathematical thinking, the original mathematical problem solving ability and the mathematical invention is a core concept, which must be emphasized in all branches of mathematical education. In this paper, the author considered a case of flexible mathematical thinking with an inventive problem solving ability shown by his student via real analysis courses. The case is on the proofs of the equivalences of three different definitions on the concept of limit superior shown in three different real analysis books. Proving the equivalences of the three definitions, the student tried to keep the flexible mathematical thinking steadily.

• Research in Mathematical Education
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• v.17 no.4
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• pp.291-307
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• 2013

Piaget's revolutionary study on the cognitive development of children has focused on the development of logic. Logical operations and a variety of classifications based on the set of accepted rules involve convergent thinking. Children and adults have logical and creative thinking which deal with a reality of thinking. This study aims to examine a cognitive structure of students, which is closely related to the Piaget's cognitive development theories of students when creative thinking. Students were given an open mathematical problem and were expected to be able to take advantage of sensitivity, fluency, flexibility, originality, and elaboration which can be seen as clearly of their structure cognitive.

• Research in Mathematical Education
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• v.22 no.2
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• pp.135-152
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• 2019

This conceptual paper proposes a conceptualization regarding teacher candidates' experiences as learners during instructional activities implemented by teacher educators in practice-based teacher education programs. We argue that the current learning cycle framework for teacher candidates to engage in core teaching practices does not fully address teacher candidates' own learning experiences as learners. To provide a rationale for our proposal, we examine the current conceptualization of learning to enact core practices and suggest the need for integrating teacher candidates' experiences into the current conceptualization. We also draw on research on figured worlds as an effort to conceptualize teacher candidates' experiences coming from multiple figured world. We present some examples from our own mathematics methods courses to illustrate how this newly proposed framework can be used in practice and share remaining questions for future research.

• Bulletin of the Korean Mathematical Society
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• v.58 no.4
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• pp.1039-1052
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• 2021

In this paper, we introduce and study the class of 𝜙-w-flat modules which are generalizations of both 𝜙-flat modules and w-flat modules. The 𝜙-w-weak global dimension 𝜙-w-w.gl.dim(R) of a commutative ring R is also introduced and studied. We show that, for a 𝜙-ring R, 𝜙-w-w.gl.dim(R) = 0 if and only if w-dim(R) = 0 if and only if R is a 𝜙-von Neumann ring. It is also proved that, for a strongly 𝜙-ring R, 𝜙-w-w.gl.dim(R) ≤ 1 if and only if each nonnil ideal of R is 𝜙-w-flat, if and only if R is a 𝜙-PvMR, if and only if R is a PvMR.

• Research in Mathematical Education
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• v.25 no.3
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• pp.189-199
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• 2022

A debate about the importance of geometry courses has existed for years. The questions have revolved around its significance to students and teachers alike. This study looks to determine whether a teacher taking a college-level geometry course has a positive relationship with their students' algebraic reasoning skills. Using data from the High School Longitudinal Study 2009 (HSLS09: Ingels et al., 2011, 2014), it was determined that 9th-grade teachers who took a college-level geometry course had a significant positive association with their students' 11th-grade algebraic reasoning scores. This study suggests that teachers who take geometry during college have a lasting effect on their students. The implications of these findings and how they may affect higher education are discussed.

• Journal of The Korean Association of Information Education
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• v.21 no.5
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• pp.487-495
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• 2017

The flipped learning is an inverted teaching model where students learn the basic concepts using short videos at home and then come to class to enable effective practice and interactions among teachers and students. However, due to the students' lack of self-regulated competence, most students have difficulties of comprehending the instructional materials out of class by themselves. In this paper, we develop an interactive app for active flipped learning in the mathematics courses in the elementary schools. We examine the effectiveness of the active flipped learning on learners groups with different achievement levels in learning 4th grade mathematics concepts in the elementary schools. The pretest and posttest survey results show that the proposed flipped learning approach has better performance compared to the traditional flipped learning approach.

• Journal for History of Mathematics
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• v.21 no.1
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• pp.109-120
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• 2008

Today linear algebra is one of compulsory courses for university mathematics by virtue of its theoretical fundamentals and fruitful applications. However, a mechanical computation-oriented instruction or a formal concept-oriented instruction is difficult and dull for most students. In this context, how to teach mathematical concepts successfully is a very serious problem. As a solution for this problem, we suggest establishing original concepts in linear algebra from the students' point of view. Any original concept means not only a practical beginning for the historical order and theoretical system but also plays a role of seed which can build most of all the important concepts. Indeed, linear algebra has exactly two original concepts : geometry of planes, spaces and linear equations. The former was investigated in [2], the latter in the present paper.

• The Journal of Sustainable Design and Educational Environment Research
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• v.8 no.1
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• pp.23-33
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• 2009

The purpose of this study was to examine the basic academic achievement of technical high school students, their learning capability about major, their adaptability to school instruction and whether those factors of them was linked to their career in an effort to suggest workable reform measures. Technical high school seniors to grasp their basic learning capabilities and their opinions on the curricula. The findings of the study were as follows: First, the civil engineering students at technical high school weren't fully able to understand what they learned because of their poor basic achievement. They should take all the required courses to fix their academic deficiencies in the first year of high school, and client-centered additional education should be provided about particular subjects, such as mathematics, which they should learn to study their major. Second, many of the students chose technical high school through the advice of parents or since they weren't able to go onto academic high school. So they entered technical high school without knowing well about their major, and vocational education wasn't properly publicized. As students make a critical career decision in middle school, the government should build permanent pavilions for vocational-education exhibition where interested students can acquire information and explore their career without any restraints. Current fragrant vocational education that is based on experiential learning should be avoided. Third, the government substituted regular classroom teaching for field practice, and that resulted in providing just uniform instruction, destroying learning atmosphere and eventually holding teachers back from offering quality education. To remedy the situation, two different sorts of classes should be prepared. One type of classes are for college- bound students, and the others are for job-seeking students. College- bound students should receive education about humanities to improve their academic deficiencies, and job-seeking seniors should be allowed to take field-practice courses at authorized companies in the second semester. It's advisable personally and socially to help ensure their successful and immediate social adjustment.