• Journal of The Korean Association of Information Education
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• v.13 no.4
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• pp.509-516
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• 2009

As the necessity of cyber education is being raised up recently, Cyber Home Learning System(CHLS) is increasingly adopted at all school levels ranging from elementary to high schools. The purposes of this study are to find out that how elementary social studies of CHLS influence on the academic performance and learning attitude of students and their satisfaction. Based on these suggestions on social studies of CHLS are proposed. To accomplish the purposes, comparisons were made between experimental group utilizing social studies of CHLS and control group of traditional class of 54 students(27 students each in experimental and control group) in 5th grade. The results are as follows. Utilizations in social studies of CHLS showed positive effects on academic performance and learning attitude, and students' satisfaction on social studies of CHLS were rather increased. Based on these findings, several suggestions are made. First, strategy to improve motivation and confidence for students to participate on social studies of CHLS are necessary. Second, thinking and problem-solving activities needs to be integrated to social studies of CHLS. Third, for meaningful social studies, environment that can improve communication and thinking ability through interaction needs to be facilitated. Fourth, supporting plan is advised for teachers carrying on the role of manager and facilitator.

• The Mathematical Education
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• v.57 no.3
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• pp.197-213
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• 2018

Descriptive problems can be used to grow student's ability of thinking logically and creatively, because it shows if the students had a reasonable way of thinking. Rate of descriptive problems is increasing in middle and high school exams. However, students in middle and high schools are generally used to answering multiple-choice or short-answer questions rather than describing the solving process. The purpose of this paper is to gain a theoretic ground to increase the rate of descriptive problems. In this study, students were to solve some multiple-choice problems, and after a few weeks, to solve the problems of same contents in the form of descriptive problems which requires the students to write the solving process. The difference of the scores were measured for each problems to each students, and students were asked what they think the reason for rise or fall of the score is. The result is as follows: First, average scores of 7 of 8 problems used in this study had fallen when it was in descriptive form, and for 5 of them in the rate of 11.2%~16.8%. Second, the main reason of falling is that the students have actual troubles of describing the solving process. Third, in the case of rising, the main reason was that partial scores were given in the descriptive problems. Last, there seems a possibility gender difference in the reason of falling. From these results, followings are suggested to advance the learning, teaching and evaluation in mathematics education: First, it has to be emphasized enough to describe the solving process when solving a problem. Second, increasing the rate of descriptive problems can be supported as a way to advance the evaluation. Third, descriptive problems have to be easier to solve than multiple-choice ones and it is convenient for the students to describe the solving process. Last, multiple-choice problems have to be carefully reviewed that the possibility of students' choosing incorrect answer with a small mistake is minimal.

• Journal of Educational Research in Mathematics
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• v.17 no.2
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• pp.163-177
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• 2007

Studies on mathematically gifted students have been conducted following Krutetskii. There still exists a necessity for a more detailed research on how these students' mathematical competence is actually displayed during the problem solving process. In this study, it was attempted to analyse the algebraic thinking process in the problem solving a peg puzzle in which 4 mathematically gifted students, who belong to the upper 0.01% group in their grade of elementary school in Korea. They solved and generalized the straight line peg puzzle. Mathematically gifted elementary school students had the tendency to find a general structure using generic examples rather than find inductive rules. They did not have difficulty in expressing their thoughts in letter expressions and in expressing their answers in written language; and though they could estimate general patterns while performing generalization of two factors, it was revealed that not all of them can solve the general formula of two factors. In addition, in the process of discovering a general pattern, it was confirmed that they prefer using diagrams to manipulating concrete objects or using tables. But as to whether or not they verify their generalization results using generalized concrete cases, individual difference was found. From this fact it was confirmed that repeated experiments, on the relationship between a child's generalization ability and his/her behavioral pattern that verifies his/her generalization result through application to a concrete case, are necessary.

• Journal of Educational Research in Mathematics
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• v.14 no.1
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• pp.89-110
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• 2004

The purpose of this study is to identify the significant characteristics shown in the field of mathematics by a gifted child, the educational curriculum for this child, and to find what has to be set in place in the areas of teacher's teaching methods and programs. The important aspect of these ideas is that one has to completely understand and know the characteristics of the gifted in order to give them the opportunity to discover their underlying talents and to develop upon those skills by giving them suitable and appropriate education for their intellectual state. This study focuses on the thoughts and behavior of a gifted male child, from his third to fifth grade, and the study shows the results and analysis of data gathered from close observation and interview, and a collection of documents gathered from the child. This study is analyzed from three different perspectives: 1. The typical life and surroundings of this gifted child, and how he was raised in this particular environment. This also shows the significant event that allowed others to recognize him as gifted. 2. Identification of how a gifted child's mind works in the field of mathematics. This attempts to analyze methods the child uses to arrive at a solution to a problem. 3. Exploration of mathematical attitude of the child. This shows the child's interest in mathematics, and the willingness to find better and more efficient ways to reach a solution. This also shows the child's ability to explain his purpose and methods of problem solving in detail, and the focus and clarity in communication of mathematics. This study will enlighten the readers with information on the importance of advanced education specifically designed for the gifted. In development of advanced education programs, it is necessary to comprehend the minds of the mathematically gifted, and furthermore, this will help in defining an appropriate teaching method and curriculum for a better equipped educational system.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.351-370
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• 2013

The purpose of this study is to analyze the modes of visualization which appears in the process of thinking that mathematically gifted 6th grade students get to understand components of the three-dimensional shapes on the duality of regular polyhedrons, find the duality relation between the relations of such components, and further explore on whether such duality relation comes into existence in other regular polyhedrons. The results identified in this study are as follows: First, as components required for the process of exploring the duality relation of polyhedrons, there exist primary elements such as the number of faces, the number of vertexes, and the number of edges, and secondary elements such as the number of vertexes gathered at the same face and the number of faces gathered at the same vertex. Second, when exploring the duality relation of regular polyhedrons, mathematically gifted students solved the problems by using various modes of spatial visualization. They tried mainly to use visual distinction, dimension conversion, figure-background perception, position perception, ability to create a new thing, pattern transformation, and rearrangement. In this study, by investigating students' reactions which can appear in the process of exploring geometry problems and analyzing such reactions in conjunction with modes of visualization, modes of spatial visualization which are frequently used by a majority of students have been investigated and reactions relating to spatial visualization that a few students creatively used have been examined. Through such various reactions, the students' thinking in exploring three dimensional shapes could be understood.

• Journal of The Korean Association For Science Education
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• v.33 no.7
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• pp.1385-1402
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• 2013

This study analyzes pre-service teachers' PCK dealing with visualization of the contents related to boiling point elevation and teaching methods in mock-lessons. As a result of analyzing pre-service teachers' knowledge based on PCK factors, most of the pre-service teachers accentuated on understanding boiling point elevation conceptually, whereas some of the others inclined to make students understand boiling point elevation in a scientific way, let the kids use numerical formulas to describe the concept, and motivate them to learn through the examples in real life. The pre-service teachers represented majority of the important facts of boiling point elevation as the knowledge required to understand things conceptually. However, they did not focus on improving the scientific thinking and inquiring levels of the students. Also, the pre-service teachers tended to teach at the level and order of the textbook. In some other cases, they considered the vocabularies and materials in the textbook (which could have been highlighted in the editing sequence) as the main topic to learn, or regarded the goal as giving students the ability to solve exercises in the textbook. It turned out that the pre-service teachers had a low level of knowledge of their students. It is recommended that they should make use of the materials given (such as data related to the misconception of students) during the training session. The knowledge of teaching and evaluating students was described superficially by the pre-service teachers; they merely mentioned the applications of models, such as the cyclic model and discovery learning, rather than thinking of a method related to the goals, or listed general assessment methods.

• Education of Primary School Mathematics
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• v.14 no.3
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• pp.277-291
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• 2011

It is necessary for the teacher to understand why teach mathematics in order to implement the visions and expectations of the national mathematics curriculum in her actual classroom. This study conducted a survey of examining how elementary school teachers might understand the purpose of teaching mathematics. The results of this study showed that teachers' conceptions of the purpose of teaching mathematics were related mainly to the development of logical thinking, practical use of mathematics in everyday life, and a tool for studying other subjects or disciplines. However, teachers did not perceive much other purposes of mathematics education such as understanding the world, appreciating aesthetic value of mathematics, and developing communicative ability as well as sociality. Whereas teachers did not think of the significance of mathematics as an intellectual field when asked to write down how they would explain students why they had to learn mathematics, they tended to strongly agree it in the Likert-scale responses. Teachers' conceptions were not different according to their gender but teachers with less than five years' teaching experience were relatively negative than others with more experience. Given these results, this study provided issues and implications of teachers' conceptions of the purpose of teaching mathematics.

• Journal of Korean Elementary Science Education
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• v.35 no.1
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• pp.26-38
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• 2016

The purpose of this study was to grasp the characteristics of composition regarding the material-centered integrated unit of environmental and natural studies, a science subject in Finland, to investigate a need for applying the material-centered integrated unit to the science curriculum of Korea. For the purpose, the study made an analysis on contents, inquiry activities, and visual materials (the most important in the elementary science curriculum and textbook composition), and it brought following results: First, as a result of analyzing the area of contents, the bicycle material-centered integrated unit comprised a large proportion of 44 pages (25.3%) of the whole 174 pages from the environmental and natural studies textbook for the third grade. The contents included such various concepts as traffic rules, safety, environmental protection and pollution, recycling and separate collection, tubes and triangular structures, wedges and screws, leverage, wheels, axles, gears, elasticity (spring), friction, and so on. Second, as a result of analyzing contents related to the thinking ability of inquiry activities, "expecting or confirming expectations" and "application" are included in every lesson, and one lesson is composed in such a way that students can study on bicycles as a practical material for their daily life and they can improve various thinking abilities. Third, as a result of analyzing the circumstances of inquiry activities, daily circumstances made up eight lessons (80.0%) and technical and social circumstances made up two lessons (20.0%) by focusing on bicycles, a material related to students' daily life. Fourth, as a result of analyzing visual materials, the percentage of pictures and photos was high at 53.4% and 45.2% respectively. As a result of analyzing the role of visual materials, the percentage of the illustrative role and explanatory-complementary role was high at 52.1% and 47.9% respectively. Lastly, as a result of analyzing from the epistemological view to interpret the relation between visual materials and students and the position of visual materials, the visual textbook materials were provided toward a way that students can decrease their feeling of epistemological separation in the three fields of ideational metafunction, interpersonal metafunction, and textual metafunction.

• Communications of Mathematical Education
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• v.31 no.1
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• pp.103-123
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• 2017

Mathematical tasks in general introduce and deal with real-life situations, and they derive to students' thinking fluently in solving the given tasks. The tasks might be considered as an important and significant factor to lead a successful mathematical teaching and learning situation. MiC Textbook is a representative one showing such good examples and tasks. This study explores concretely and in detail the cognitive demand level of mathematical tasks, by the subject of MiC Textbook. To accomplish this, this study is to reconstruct more elaborately the analysis framework developed by Hwang and Park in 2013. The framework basically was set up utilizing 'the cognitive demand level' suggested by Stein, et, al. The cognitive demand level is divided into two levels such as low level and high level. The low level is comprized of two elements such as Memorization Tasks(MT), Procedures Without Connections Tasks(PNCT), and high level is Procedures With Connections Tasks(PWCT), and Doing Mathematics Tasks(DMT). This study deals with the tasks on the area of 'data analysis and statistics' in MiC 1, 2, 3 level Textbook. As a result, mathematical tasks of MiC Textbook led learners to deal with and understand mathematical content for themselves, and furthermore to do leading roles for checking and reinforcing the content. Also, mathematical tasks of MiC Textbook are comprized of the tasks suitable to enhance mathematical thinking ability through communication. In addition, mathematical tasks of MiC Textbook tend to offer more learning opportunity to learners' themselves while the level of MiC Textbook is going up.

• Journal of Internet Computing and Services
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• v.16 no.5
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• pp.99-105
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• 2015

Currently robots are widely used in schools for educational purpose. With wide spread of robot-based education, it is known that major advantage of robot-based education is to enhance creativity and logical thinking of students. Although robots can be very useful tools for assisting students' study activities, there have not been lots of teaching-learning models for robot-based education.In this paper, a teaching-learning model is presented for robot-based education. The proposed model is designed based on constructivism. The proposed model consists of 6 stages: preparation, design, assembling, demonstration run, evaluation, and application & extension. The proposed model has the following characteristics. First, the proposed model is designed to enhance creativity and logical thinking ability of learners. Learners are supposed to be involved in self-directed activities and required to provide results based on their own ideas. Teachers are supposed to mediate students only if necessary. Second, learners are encouraged to participate in activity via diverse interaction. The interaction in this model includes learner-to-learner interaction, learner-to-teacher interaction, and learner-to-expert interaction. The proposed model encourages learners to solve the problem with cooperating each other. Also, teachers are supposed to guide students if necessary and observe and monitor behavior of students all the time. Third, motivation is provided in the beginning stage of the instruction. Fourth, in the proposed model, both study results and study process are equally important. In the model, study process is reviewed at the final stage.