• Journal of Educational Research in Mathematics
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• v.9 no.2
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• pp.383-404
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• 1999

This study began with an epistemological question about the nature of mathematical cognition in relation to the learner's activity. Therefore, by examining Piaget's 'reflective abstraction' theory which can be an answer to the question, we tried to get suggestions which can be given to the mathematical education in practice. 'Reflective abstraction' is formed through the coordination of the epistmmic subject's action while 'empirical abstraction' is formed by the characters of observable concrete object. The reason Piaget distinguished these two kinds of abstraction is that the foundation for the peculiar objectivity and inevitability can be taken from the coordination of the action which is shared by all the epistemic subjects. Moreover, because the mechanism of reflective abstraction, unlike empirical abstraction, does not construct a new operation by simply changing the result of the previous construction, but is forming re-construction which includes the structure previously constructed as a special case, the system which is developed by this mechanism is able to have reasonability constantly. The mechanism of the re-construction of the intellectual system through the reflective abstraction can be explained as continuous spiral alternance between the two complementary processes, 'reflechissement' and 'reflexion'; reflechissement is that the action moves to the higher level through the process of 'int riorisation' and 'thematisation'; reflexion is a process of 'equilibration'between the assimilation and the accomodation of the unbalance caused by the movement of the level. The operational learning principle of the theorists like Aebli who intended to embody Piaget's operational constructivism, attempts to explain the construction of the operation through 'internalization' of the action, but does not sufficiently emphasize the integration of the structure through the 'coordination' of the action and the ensuing discontinuous evolvement of learning level. Thus, based on the examination on the essential characteristic of the reflective abstraction and the mechanism, this study presents the principles of teaching and learning as following; $\circled1$ the principle of the operational interpretation of knowledge, $\circled2$ the principle of the structural interpretation of the operation, $\circled3$ the principle of int riorisation, $\circled4$ the principle of th matisation, $\circled5$ the principle of coordination, reflexion, and integration, $\circled6$ the principle of the discontinuous evolvement of learning level.

• Education of Primary School Mathematics
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• v.13 no.2
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• pp.85-97
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• 2010

The purpose of this study is to develop a teaching program in consideration of the geometrical thinking levels of students to make a contribution to teaching figures effectively. To do this, we checked the geometrical thinking levels of fourth-graders, developed a teaching program based on van Hiele's theory, and investigated its effect on their geometrical thinking levels. The teaching program based on van Hiele's theory put emphasis on group member interaction and specific activities through offering various geometrical experiences. It contributed to actualizing activity-centered, student-oriented, inquiry-oriented and inductive instruction instead of sticking to expository, teacher-led and deductive instruction. And it consequently served to improving their geometrical thinking levels, even though some students didn't show any improvement and one student was rather degraded in that regard - but in the former case they made partial progress though there was little marked improvement, and in the latter case she needs to be considered in relation to her affective aspects above all. The findings of the study suggest that individual variances in thinking level should be recognized by teachers. Students who are at a lower level should be given easier tasks, and more challenging tasks should be assigned to those who are at an intermediate level in order for them to have a positive self-concept about mathematics learning and ultimately to foster their thinking levels.

• Journal of Science Education
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• v.43 no.3
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• pp.342-362
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• 2019

This study is to explore the applicability of PBL classes in undergraduate education at a School of Dentistry. To do this study, PBL modules were developed and applied to the students with different background knowledge to easily learn Integrated Medicine and Lifescience classes. Participants were 12 students in the first year of Integrated MS program at P University. Four tutors who majored in Dentistry and had PBL teaching experience participated. As a result of the PBL classes, students' concepts and knowledge about gene expression and expression were expanded, and they recognized the importance of self-directed learners and experienced the importance of collaborative learning. PBL tutor presented a positive assessment of attending PBL class experience and the educational need for PBL instruction. The results of this study show the possibility of PBL as a model for Integrated Medicine and Lifescience class in Dentistry education.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.449-466
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• 2013

Mathematical discussion has been highlighted so that what students do actually guides their learning of mathematics and mathematical practice. However, the work of leading mathematical discussions has not yet been specified in such a way that it can be adequately studied and taught to teachers. This study analyzes a teacher's lessons that show full engagement in leading discussions, and examines the work of leading mathematical discussions in elementary classrooms. It identifies and illustrates the central tasks of leading mathematical discussions with single case questions with five steps. This article argues several key issues in leading mathematical discussions: helping students engage in struggling with important mathematical ideas, treating mathematical connections in an explicit and public way to have coherent and structured discussions, and parsing the work of teaching at a grain size that is usable in educating teachers.

• Education of Primary School Mathematics
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• v.3 no.1
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• pp.1-36
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• 1999

The case of four classrooms analyzed in this study point to many commonalities in the challenges of reforming mathematics teaching in Korea and the U. S. In both national contexts we have seen the need fur a clear distinction between implementing new student-centered social practices in the classroom, and providing significant new loaming opportunities for students. In particular, there is an important need to distinguish between attending to the social practices of the classroom and attending to students conceptual development within those social practices. In both countries, teachers in the less successful student-centered classes tended to abdicate responsibility fur sense making to the students. They were more inclined to attend to the literal statements of their students without analyzing their conceptual understanding (Episodes KA5 and UP 2). This is easy to do when the rhetoric of reform emphasizes student-centered social practices without sufficient attention to psychological correlates of those social practices. The more successful teachers tended to monitor the understanding of the students and to take proactive measures to ensure the development of that understanding (Episodes KO5 and UN3). This suggests the usefulness of constructivism as a model (or successful student-centered instruction. As Simon(1995) observed, constructivist teachers envision a hypothetical learning trajectory that constitutes their plan and expectation for students learning from the particular if the trajectory is being followed. If not, the teacher adjusts or supplements the task to obtain a more satisfactory result, or reconsider her or his assumptions concerning the hypothetical learning trajectory. In this way, the teacher acts proactively to try to ensure that students are progressing in their understanding in particular ways. Thus the more successful student-centered teacher of this study can be seen as constructivist in their orientation to student conceptual development, in comparison to the less successful student-centered teachers. It is encumbant on the authors of reform in Korea and the U. S. to make sure that reform is not trivialized, or evaluated only on the surface of classroom practices. The commonalities of the two reform endeavores suggest that Korea and the U. S. have much to share with each other in the challenges of reforming mathematics teaching for the new millennium.

• Journal of Korea Society of Digital Industry and Information Management
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• v.13 no.2
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• pp.127-145
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• 2017

The purpose of this study is to empirical case study for the instructional design of flipped classroom by job-capability advancement of IT business majors. A student of IT business school has learned a lot of management educations for four years. But, they don't recognize a connection between school education and business practice. A subject based on the humanities, and social sciences consisted of mostly the memorization. The undergraduate class lack a practice's curriculum by a creative-oriented lesson rather than memorization-oriented. In particular, An IT business is now recognized as a significance emerging IT investment, the Internet of Things, information security, big data and strategy's ERP. For these reasons, it is important for an instructional design for understanding business practices of the students. Accordingly, Flipped classroom with participatory class be needed increasingly for students' practical sense. We will propose a design method of flipped classroom for inspiring business education. In this, new instructional design overturned traditional teaching method. After the student conducts a prior learn at home, school will accomplish a problem solving through question and answer. This design effected a boredom suppress and creative enforcement of student and an intimacy increase of instructor. In addition, A participatory class and reciprocal peer tutoring will be possible by a spontaneous self-directed learning of student. We were designed course of project type based on big data theory and application to target the fourth-year course. In conclusion, the new instruction provided a help to learning synergy between student and lecturer. During the lessons, the student showed improvement of business sense and enhanced problem solving capability. The lecturer has the intimacy through communication interaction with students.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.421-437
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• 2020

Problem/Project based learning(PBL) is a student-centered teaching method in which students collaboratively solve problems and reflect their experiences. According to the results of PBL study and the experiences of the authors in PBL instruction, this paper introduced the necessities, output and significance of learning process PBL evaluation method and sums up our PBL evaluation process. The issue of appropriate and fair evaluation has been raised in untact (non-contact) university mathematics education due to the novel coronavirus (COVID-19) of the year 2020. To this end, when we had the course on for the summer semester held at S University in the summer of 2020. To ensure the fairness in evaluation and to improve the quality of our college math education, the PBL evaluation method was fully adapted. As a result, most of the students who took the lecture have learned a wide range of related knowledge without a single exception, and students agreed it is an ideal, fair, rational, and effective evaluation method applicable to other online courses in the era of untact education. This case was summarized in detail and introduced in this paper.

• The Journal of Korean Association of Computer Education
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• v.13 no.6
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• pp.9-21
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• 2010

Concurrent processes come into conflict with each other when they are competing for the use of the same resources. In the case of competing processes three control problems must be faced: mutual exclusion, deadlock, and starvation. The concurrency is a subject rather difficult to understand. In addition, because concurrent programs included in most of OS texts are described by pseudocode and are not being able to execute directly, almost learners are difficult to understand behaviour of concurrent programs. The purpose of this study is to propose instruction method for mutual exclusion using SDL and MSC base on graphic. In order to verify the effectiveness of the proposed materials, we compare with materials based on pseudocode. The results indicated that the proposed materials is more effective than materials based on pseudocode in teaching-learning for mutual exclusion mechanisms.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.39-57
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• 2022

This study aims to design an integral instruction method that follows the Abstraction in Context (AiC) framework proposed by Hershkowitz, Schwarz, and Dreyfus to help students in acquiring in-depth understanding of the relationship between indefinite integrals and definite integrals and to analyze how the students' understanding improved as a result. To this end, we implemented lessons according to the integral instruction method designed for eight 11th grade students in a science high school. We recorded and analyzed data from graded student worksheets and transcripts of classroom recordings. Results show that students comprehend three knowledge elements regarding relationship between indefinite integral and definite integral: the instantaneous rate of change of accumulation function, the calculation of a definite integral through an indefinite integral, and The determination of indefinite integral by the accumulation function. The findings suggest that the AiC framework is useful for designing didactical activities for conceptual learning, and the accumulation function can serve as a basis for teaching the three knowledge elements regarding relationship between indefinite integral and definite integral.

• Journal of The Korean Association For Science Education
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• v.29 no.1
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• pp.106-115
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• 2009

In this study, classroom instructions of teachers who participate in the science teachers' community were videotaped and analyzed to understand their teaching professionalism. Among the "Standards for teaching evaluation of science instruction" developed by Korea Education Curriculum and Assessment, 12 evaluation elements were selected and used for data analysis. First of all, the results indicate that most of the teachers show the highest teaching level in the interaction between student and teacher, and the lowest in the statement of teaching object as the teaching evaluation element. Second, from the viewpoint of the teaching level, all of the teachers at the superior level were veterans whose teaching careers have spanned longer than 15 years. It was found that they used various teaching materials in class and designed meaningful learning programs for their students. Compared with teachers at the superior level, beginning teachers used limited teaching materials due to their lack of experience. In addition, their instruction falls short of flexible management in teaching. The results show that they tend to teach in a somewhat rigid style that does not have sufficient positive interaction with students.