• Journal for History of Mathematics
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• v.25 no.2
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• pp.35-55
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• 2012

This article discusses and reviews the mathematics education of Herbart who had clarified the nature of the scientific education and established the systematic study of pedagogy for the first time. We are mainly investigated the "Pestalozzi's Idea of an ABC of Sense-Perception Investigated and Scientifically Carried out as a Cycle of Preliminary Exercise in the Application of Forms" that proposed intuitive geometric education that embodied his theory on education. Based on this, We discusses the educational implications-the purpose and methods of mathematics education and so on.

• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.123-142
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• 2009

Dynamic context is considered as a source for intuitive understanding on the calculus. The relation between the area under time-velocity graph and distance is the base of the dynamic contexts which are treated in the integral calculus. The fundamental theorem of calculus has originated in dynamic contexts. This paper investigated the fundamental theorem of calculus via the relation between the area under time-velocity graph and distance. And we analyzed mathematics textbooks and the understanding of students. Finally we suggest some proposal for the teaching of the fundamental theorem of calculus.

• Journal of Korean Elementary Science Education
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• v.40 no.1
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• pp.1-12
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• 2021

This study investigated pre-service elementary teachers' understanding of the planetary revolution movement of Mars and their explanatory models to show how the Sun-Earth-Mars system worked. An assessment item set using five celestial maps drawn from the Stellarium was designed to probe pre-service teachers' understanding of the prograde-retrograde motion of Mars. Among 23 participants, only four showed scientifically accurate understanding of Mars movement and drawing correct explanatory models for the planetary movement. Even the pre-service teachers who construed correctly prograde and retrograde motions of Mars showed a clockwise movement model due to their intuitive perceptions of Mars movement data from the celestial maps. Pre-service teachers with poor understanding of planetary movement also showed weak explanatory models due to their limited observation or lower spatial thinking. Although the planetary motion is not an easy topic for pre-service elementary teachers, it can be argued if the alternative approach, such as using appropriate observational data of a planet and changing the frames of reference between Earth-based view and Space-based view, is employed effectively in teaching planetary motion, pre-service teachers can reach the upper level of leaning planetary motion in terms of the planet's revolution.

• Journal of the Korean School Mathematics Society
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• v.25 no.1
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• pp.79-104
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• 2022

It is very important to help students learn by examining how well students solve math problems. Therefore, in this study, four methods(error analysis by problem type, schematization analysis, area graph analysis, and broken line graph analysis) were constructed to analyze how the connectivity between concepts of middle school functions affects the problem solving results. The students' learning situation was visually expressed to enable intuitive understanding. This analysis method makes it easy to understand the evaluation results of students. It can help students learn by understanding their learning situation. It will be useful in mathematics teaching and learning as it can help students to monitor their own problems and make a self-directed learning plan.

• The Journal of Korean Institute of Next Generation Computing
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• v.13 no.6
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• pp.21-30
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• 2017

Physical computing is performed through interaction with the real world making it suitable for cultivating student abilities in computing knowledge and thought processes. Furthermore, if users can develop programs under block-coding environment, it will be more easy and more intuitive. However, the existing block coding environment has a problem that the physical devices must be continuously connected to the computer. Blockly is an open source library that adds a visual code editor linked with graphic blocks to demonstrate coding concepts through web and mobile apps. Using Blockly, we describe a development environment for physical computing on mobile platform, which combines physical computing with an established block-coding environment, and activates it through wireless communication.

• International journal of advanced smart convergence
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• v.12 no.4
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• pp.268-276
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• 2023

The representative branch of ICT education is Arduino. However, there are various problems when teaching using Arduino. Arduino requires a complex understanding of hardware and software, and this can be perceived as a difficult course, especially for beginners who are not familiar with programming or electronics. Additionally, the process of connecting the pins of the Arduino board and components must be accurate, and even small mistakes can lead to project failure, which can reduce the learner's concentration and interest in learning Arduino. Existing Arduino learning content consists of text and images in 2D format, which has limitations in increasing student understanding and immersion. Therefore, in this paper analyzes the necessary conditions for sprouting 'growing kidney beans' in the first semester of the fourth grade of elementary school, and builds an automated experimental environment using Arduino. Augmented reality of the pin connection process was designed and produced to solve the difficulties when building an automation system using Arduino. After 3D modeling Arduino and components using 3D Max, animation was set, and augmented reality (AR) content was produced using Unity to provide learners with more intuitive and immersive learning content when learning Arduino. Augmented reality (AR)-based Arduino learning content production is expected to increase educational effects by improving the understanding and immersion of classes in ICT education using Arduino and inducing fun and interest in physical computing coding education.

• Journal of The Korean Association For Science Education
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• v.40 no.3
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• pp.291-305
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• 2020

The purpose of this study is to examine whether and how the features of performance assessments implemented during integrated science classes are related to teachers' PCK. We observed and video recorded four high school teachers' performance assessment practices, interviewed them, and surveyed their PCK. An analysis of the data shows that the teachers' performance assessment practices differed in terms of assessment of process, diagnosis of student learning progress, feedback, degree of classroom interactions, and use of assessment criteria. In particular, the opportunities for students to participate in assessment actively and use of assessment for learning varied across teachers. Also, relational patterns among science teaching orientations, PCK and performance assessment practices were found. When a teacher aimed at teaching for both academic learning and scientific literacy, sophisticated PCK was shown and assessment practices were complex accordingly. When scientific literacy was emphasized PCK highlighted experiential learning and assessments were not clearly distinguished from learning activities. In contrast, when academic achievement was emphasized traditional teaching strategies and assessments were highlighted. Based on these findings a number of topics for professional development are suggested including strategies for students' active engagement in assessment, use and development of specific assessment criteria, strategies for assessing performance qualities, and intuitive assessment competency development. Further research topics are also suggested.

• Journal of The Korean Association For Science Education
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• v.16 no.4
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• pp.340-350
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• 1996

Knowledge is composed through the interaction between the concept structure already held by students and their experience, and learning can be said to be the active process of solving the cognitive conflict caused by this interaction. Therefore, this study consists in showing the effective learning method and finding out the elements which the teacher has to own, through examining several forms of pre-conception or mis-conception of the inertia, the force-equilibrium, the action and reaction, the heat, and the electric current, and then finding out their solution and studying student's change in science concepts. For this study, the types of concept on the five above-mentioned materials which students have were examined through the concept-classifying question paper, and the classes to which the class mode for the change of concepts applied, were practised in each different classroom by each different instructor - a professor, a scientist, a teacher, and two students, respectively. And the effect of the teaching strategy based on these classes, and each different instructor' influence on the change of concept in students. were examined. The result of my study is as follows; 1. Students have various types of pre-conception which are different from science concept, and these types of pre-conception tend to last even after learning in class. 2. The thoughts on the correct science concept of the high school third-grade students who learned the physics in the traditional teaching method, and the second grade students who don't learn the physics yet, were nearly equal those of the second grade students by receiving the physics class through the cognitive conflict course were greatly changed especially that students showed the distinct change on mechanics and electric current. 3. Students didn't show the remarkable change of the science concept on the five materials in the four kinds of experimental classes by each different instructor but in the part of mechanics, there was the distinct change between the class by professor and those by the students. This was due to the difference of the authority and the attitude of the concept demonstrator. 1) The authority, the kind attitude, and the responsibility of the expert played an important role in the correct concept-formation of mechanics part - especially in the case of the mis-conception caused by the intuitive belief. 2) In the class by instructor with the democratic teaching method, the change of concept took place more easily, because in his class students could discuss the subject freely, so that they might experience the thought course to give them the confidence on the science concept.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.221-239
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• 2010

Attention to Korean perspective mathematics education has been increasingly paid m international academic meetings or international comparative studies. Personal or intuitive, vague explanation has been given based on limited literature or observations. This increasing attention and Jack of studies warrant the necessity of systematic researches on it. This article aims at clarifying the research issues in searching for Korean perspective on mathematics education and finding the starting point through discussion on mathematical modeling by teacher on researchers and researchers. Firstly, hypothetical perspective will be described. Secondly, Fourteen teacher educators' and seven researchers' opinion on it will be discussed. Findings imply that strong responsibility for Korean mathematics teachers to reveal theoretical aspects of mathematical knowledge, i.e., structure or essence, as well as to pursue efficiency and effectiveness in mathematics teaching and learning is the main aspect of Korean perspective on mathematics education.

• Journal of Educational Research in Mathematics
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• v.19 no.3
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• pp.425-441
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• 2009

The cube-accumulation is a new theme included in the 7th elementary mathematics curriculum for improving children's spatial ability. One activity of the cube-accumulation is to recognize the configuration of accumulated cube given three plane figures in the directions of the above, the front and the side, respectively. The approach to this activity presented in the mathematics textbook is more or less intuitive and constructive, and difficult to some children. So we suggest an alternative, more analytic method, 'elimination method', that is eliminating unnecessary parts from $n{\times}n{\times}n$ whole cubes. This method was adopted to the 32 sixth graders, in special five applicants among them. Their responses and activities were analyzed. We confirm that we can teach the cube-accumulation by the elimination method, and some children prefer this method. 13u1 this method requires more exercises to be executed skillfully.