• 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 the Korean School Mathematics Society
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• v.12 no.1
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• pp.47-70
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• 2009

The purpose of this research was to confirm one of constructivists' assumptions that even children 조o are with low reasoning ability can make reflective abstracting ability and cognitive structures by this ability can make generation ability of new knowledge by themselves. To investigate the assumption, learner-centered instruction were implemented to 2nd grade classroom located in Suseong Gu, DaeGu City and with lesson plans which initially were developed by Burns and corrected by the researchers. Recordings videoed using 2 video cameras, observations, instructions, children's activity worksheets, instruction journals were analyzed using multiple tests for qualitative analysis. Some conclusions are drawn from the results. First, even children with low reasoning ability can construct mathematical knowledge on multiplication in their own. ways, Thus, teachers should not compel them to learn a learning lesson's goals which is demanded in traditional instruction, with having belief they have reasoning ability. Second, teachers need to have the perspectives of respects out of each child in their classroom and provide some materials which can provoke children's cognitive conflict and promote thinking with the recognition of effectiveness of learner-centered instruction. Third, students try to develop their ability of reflective and therefore establish cognitive structures such as webs, not isolated and fragmental ones.

• Communications of Mathematical Education
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• v.30 no.2
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• pp.161-178
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• 2016

Mathematics problem based learning(PBL), which has recently attracted much attention, is a teaching and learning method to increase mathematical ability and help learning mathematical concepts and principles through problem solving using students' mathematical prerequisite knowledge. In spite of such a quite attention, it is not easy to apply and practice PBL actually in school mathematics. Furthermore, the recent instructional situations or environments has focused on student's self construction of their learning and its process. Because of this reason, to whom is related to mathematics education including math teachers, investigation and recognition on the degree of students' acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) is an very important work. Thus, developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recently, connection or integration of one subject and the other subject in school is emphasized, and then mathematics might be one of the most important subjects to have a significant role to connect or integrate with other subjects. While considering the reason is that the ultimate goal of mathematics education is to pursue an enhancement of mathematical thinking ability through the enhancement of problem solving ability, this study aimed to implement basically what is the meaning of the integrated thinking ability in problem based learning theory in Mathematics. In addition, using historical materials, this study was to develop mathematical materials and a sample of a concrete instructional guideline for enhancing integrated thinking ability in problem based learning program.

• Journal for History of Mathematics
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• v.25 no.4
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• pp.37-51
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• 2012

By comparing the development history of rectangular coordinate system in Cartography and Mathematics, we assert in this manuscript that the rectangular coordinate system is not so much related to analytic geometry but comes from the space perceiving ability inherent in human beings. We arrived at this conclusion by the followings: First, although the Cartography have much influenced to various area of Mathematics such as trigonometry, logarithm, Geometry, Calculus, Statistics, and so on, which were developed or progressed around the advent of analytic geometry, the mathematical coordinate system itself had not been completely developed in using the origin or negative axis until 100 years and more had passed since Descartes' publication. Second, almost mathematicians who contributed to the invention of rectangular coordinate system had not focused their studying on rectangular coordinate system instead they used it freely on solving mathematical problem.

• Research in Mathematical Education
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• v.23 no.4
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• pp.235-254
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• 2020

Through this study, we aimed to capture the nature of a mathematics method course, called "the Curriculum Development and Teaching Methods in Mathematics Education" which is a pedagogy course for teaching for secondary school mathematics taught at a university located in a south eastern part of South Korea. The research participants include three junior students who took the methods course and a local high school math teacher with two professors. The research has three parts. First, we designed a method course to prepare the junior or senior students for a teaching practicum. The individual students gave a mini lecture about a secondary mathematical topic as a course requirement. Second, the three students watched a classroom video-clip of the high school teacher and analyzed his instruction before the actual classroom visits. Furthermore, by "Let's Learn" program for students, the course was associated with a local community through the students and so that they could visit the teacher's classroom three times to observe his math classroom teaching. The students discussed the difference between their own mini lectures and the actual math classroom teaching to develop an understanding of what it entails to teach an actual math class. Third, the first author supervised the students' activities in the program including their report for it to bring out their findings to the class of the method course. We found out this method course provided the students with the experience of various aspects of actual math lesson as well as learning theories about the pedagogy for teaching for secondary school mathematics. We conclude that this course gives a model for the method course in mathematics education for secondary school mathematics.

• Hwankyungkyoyuk
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• v.13 no.1
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• pp.133-141
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• 2000

This study was designed for middle school students in Su-Won City to find out their level of hope in environmental education and who had not been introduced to environmental skills and knowledge as a separate subject in their school curriculum. Additionally, the result of the study was expected to provide basic environmental education material to teachers who are on the front line in our environmental education efforts. The mother used to be very influential on her children's thinking and behavior to a large degree. Acknowledging these facts, students and their mothers were chosen for this study The questionnaire from each of the two groups were compared and studied. The questionnaire, comprised of 23 questions, was completed during the period of time from March 6 through March 11, 2000. The schools that participated in the study were 5 junior high schools in Su-Won City and the participants were students and their mothers. The questionnaires were given to 450 students and their mothers to be completed and returned. A total of 379 student questionnaires and 323 mother questionnaires were received for examination. The results of questionnaire were analyzed by using SPSS/PC 8.0 software program with Frequencies Analysis, Mean Analysis, Reliability Analysis, Correlation Analysis, Paired Samples T-test, and $\chi$$^2$-test. The questionnaires generated the following results. The reliability coefficient was 0.847 from the students and 0.895 from the mothers. The level of interest in an environmental education curriculum was 24.3% from students and 86.0% from mothers. Interestingly, the gender difference of level of interest in an environmental education curriculum was 25.7% from male and 23.1% from female. The difference in the environmental function levels between female and male students was statistically significant(t=-4.109, p<0.001). For mathematical skills in environmental functions, the students and mothers thought trash, air pollution, and lack of forest were problems however they showed inactive support and unreasonable attitudes toward the problems that they themselves pointed to for solving the problems. Under the environmental problems solving issue, the significance between two groups was 0.014(P<0.001) and the result dictates there was no correlation. The t-test showed no difference in environmental knowledge level between student genders. The knowledge level between students and mothers was related each other. The Paired Sample t-test between students versus mothers on environmental skills and knowledge was 0.000*(*P<0.001) and it showed there was correlation between the two groups. With this study, educating mothers should be noticed as a great priority in environmental education that will lead to a more positive environmental outlook from our students.

• School Mathematics
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• v.12 no.3
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• pp.301-322
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• 2010

In this study, researchers developed the criteria evaluating mathematically gifted students' creative products, which contain such evaluation headings as cognitive abilities(; creativity, analytic thinking, expert skill and knowledge), performing ability of the Mathematically Gifted-Creative Problem Solving process. And then a case study is carried out to apply the criteria to an actual condition of mathematically gifted education. This case study shows that how teachers can apply those of model and criteria in actual condition of the mathematically gifted education. Through the criteria above mentioned, the characteristics of creative productivity can be grasped clearly and evaluated in detail.

• Journal of the Korean School Mathematics Society
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• v.11 no.4
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• pp.629-654
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• 2008

This study investigated school mathematics curriculum of the State of Georgia in the United States focused on the 'number and operation' and 'algebra' domain. On the basis of its understanding, this domain was compared and analyzed with school mathematics curriculum of Korea. In doing so, this study explored its plans and procedures and established a frame of comparison for the curriculums between the two countries. The most noticeable difference between the former and the new curriculum in mathematics for Georgia schools is the use of performance standards. A performance standard has four components: a content standard, illustrative tasks, examples of student work, and a commentary for teachers. This study focuses on the content standard and according to the results of the present study, Korea focuses on the formal and systematic mathematical knowledge on the basis of sound understanding of certain mathematical terms or concepts. On the other hand, the State of Georgia curriculum tends to deal with the content which can be understood more intuitively, flexibly, and naturally through the experience, aquisition, and furthermore interpretation based on the concrete manipulation and technological devices.

• East Asian mathematical journal
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• v.34 no.4
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• pp.371-402
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• 2018

The researchers set up a research question to find out how to teach the concept of a right triangle through classification activities after listening to the conversations of fellow teachers about the recently revised textbooks. First, a questionnaire was created to confirm the objectivity of the research problem, data were collected through online and offline, and interviews were conducted with some of the respondents. As a result, it confirmed that there was a considerable difference in the perception of the research study about the direction of revising the curriculum called 'student participation centered' and 'the possibility of achieving the learning objective'. Then, we analyzed the critical interpretations used in the third grade math textbook Lesson 2. 'Plane Figure' part 4 and 5. Finally, by analyzing the results of the recognition analysis and textbook analysis, we proposed two learning methods which can link the triangle classification activity and the right triangle concept. Based on the results of the research, we obtained suggestions that a teaching should be made regarding that the classification process may be changed according to the student's prior knowledge and the process of classification activities may be different according to the viewpoint and classification criteria.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.313-330
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• 2015

The classification is an important activity that is directly related to concept formation. Thus it will need to be made meaningful learning to classification through learner-centered teaching. But we doubts weather teaching and learning to the classification are reflected in the constructivist philosophy of 'learner-centered' well or not. The purpose of this study was to analyze critically the content of elementary textbooks and guidebook for teachers relating to the classification of angles and triangles in terms of constructivism. As a result, there is a problem in the classification of angles that are not provided a reasonable chance to set criteria by agreement of the communities. There is a problem in the classification of triangles that has the characteristics of radical development in terms of diversity. In addition, response of students was predicted like anyone who already acquired knowledge. And it has the shortcomings that the opportunity to have a choice and a discussion to hierarchical and partition classification are not provided. The followings are proposed based on such features; faithful reflection of 'Learner-centered' principle, careful prediction of student response, teaching that focus on process than results.