• Title/Summary/Keyword: education of mathematics

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Understanding Lacan's Psychology through the Mathematical Concepts and its Application (수학적 개념을 통한 라깡의 심리학에 대한 이해와 그 응용)

  • Kim, Jae-Ryong
    • Communications of Mathematical Education
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    • v.28 no.1
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    • pp.45-55
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    • 2014
  • Lacan gives an explanation on our real actual world by the concepts the "Real", the "Imaginary" and the "Symbolic". Although this three registers are not far from each other, they never can be unified. Among animals, only human has interest in the "truth". The concept of truth is discussed and debated in several contexts, including philosophy and religion. Many human activities depend upon the concept, which is assumed rather than a subject of discussion, including science, law, and everyday life. Language and words are a means by which humans convey information to one another, and the method used to determine what is a "truth" is termed a criterion of truth. Accepting then that "language is the basic social institution in the sense that all others presuppose language", Lacan found in Ferdinand de Saussure's linguistic division of the verbal sign between signifier and signified a new key to the Freudian understanding that "his therapeutic method was 'a talking cure'". The purpose of this paper is to understand Lacan's psychology and psychoanalysis by using the mathematical concepts and mathematical models, especially geometrical and topological models. And re-explanation of the symbolic model and symbols can help students understand new ideas and concepts in the educational scene.

A Study on the Development of Experiential STEAM Program Based on Visual Impairment Using 3D Printer: Focusing on 'Sun' Concept (3D프린터 활용 체험형 STEAM 프로그램 개발 연구: '태양' 개념을 중심으로)

  • Kim, Sanggul;Kim, Hyoungbum;Kim, Yonggi
    • Journal of the Korean Society of Earth Science Education
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    • v.15 no.1
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    • pp.62-75
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    • 2022
  • In this study, experiential STEAM program using 3D printer was produced focusing on the content elements of 'solar' in the 2015 revised science curriculum, and in order to find out the effectiveness of the STEAM program, analyzed creative problem solving, STEAM attitude, and STEAM satisfaction by applying it to two middle school 77 students simple random sampled. The results of this study are as follows. First, a solar tactile model was produced using a 3D printer, and a program was developed to enable students to actively learn experience-oriented activities through visual impairment experiences. Second, in the response sample t-test by the difference in pre- and post-score of STEAM attitude tests, significant statistical test results were shown in 'interest', 'consideration', 'self-concept', 'self-efficacy', and 'science and engineering career choice' sub-factors except 'consideration' and 'usefulness / value recognition' sub-factors (p<.05). Third,, the STEAM satisfaction test conducted after the application of the 3D printer-based STEAM program showed that the average value range of sub-factors were 3.66~3.97, which improved students' understanding and interest in science subjects through the 3D printer-based STEAM program.

Information recognition style and Learning method for factorization - Focusing on algeblocks and formula application - (정보인식 유형과 인수분해 학습방법 -대수막대와 공식 활용을 중심으로-)

  • Jeon, Mi Hye;Whang, Woo Hyung
    • Communications of Mathematical Education
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    • v.29 no.1
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    • pp.111-130
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    • 2015
  • The purpose of the study was to investigate the differences between two groups of students according to information recognition styles such as visual learners and linguistic learners. Two instructional methods, algeblocks and factorization formula, were utilized to introduce the factorization. Four students were participated for the study, and two of them were visual learners and the other two were linguistic learners based on learning style test. Interviews and the diagnostic tests were implemented before the instructions which were lasted for 6 sessions. After the instructions all the participants were interviewed and the researchers also interviewed them 5 days later. The results of the study were the followings: 1. All the participants regardless of their learning style revealed that algeblocks were helpful in understanding the factorization. 2. Visual learners were more likely using algeblocks, while the linguistic learners were more enthusiastic and proficient in using formula to solve the problems. 3. Five days later, two types of learning style students revealed different tendencies. Visual learners mainly used algeblocks, and linguistic learners were not enthusiastic about using algeblocks and one of them did not use them at all. 4. Five days later, two visual learners could not remember the formula, but linguistic learners could remember the formula in somewhat different level.

An Investigation on the Understanding of the Mathematical Modelling Based on the Results of Domestic Articles since 2007 (2007년 이후 국내 논문 결과에 근거한 수학적 모델링 탐색)

  • Hwang, Hye Jeang;Min, Aram
    • Communications of Mathematical Education
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    • v.32 no.2
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    • pp.225-244
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    • 2018
  • Problem solving and its mathematical applications have been increasingly emphasized in school mathematics over the past years. Recently it is recommended that mathematical applications and modelling situations be incorporated into the secondary school curriculum. Many researchers on the approach have been conducted in Korea. This study is planning to investigate and establish the meaning of mathematical modelling and model, mathematical modelling process. And also it does the properties of problem situations introduced and dealt with in mathematical modelling activity. To accomplish this, this study is based on the analysis and comparison of those 24 articles. They are ones which have been published from 2007 to 2017 and are included in the five types of publication. Prior to this study, the previous study was conduct in 2007 with the same purpose. Namely, by the subject of 11 articles and 22 master dissertations published domestically from 1991 to 2005, the analytic and explorative study on the mathematical modelling and its understanding had been conducted.

A Study on the Development of Mathematical-Ethical Linkage·Convergence Class Materials according to the Theme-Based Design Model (주제기반 설계 모형에 따른 수학-윤리 연계·융합 수업 자료 개발 연구)

  • Lee, Dong Gun;Kwon, Hye Joo
    • Communications of Mathematical Education
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    • v.36 no.2
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    • pp.253-286
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    • 2022
  • This study is a study in which four teachers from the same school who participated in a teacher learning community program at the school field developed interdisciplinary linkage and convergence data using Plato as a collaborative circle in ethics and mathematics subjects. In particular, this study aimed to develop practical and shareable lesson materials. The data development procedure was developed according to the following four procedures. 'Development of data development plan, data development, verification of development data, and development of final data that reflects the verification opinions' At this time, in the data development stage, a theme-based design model was applied and developed. In addition, the development data were verified by conducting CVR verification for field teachers to focus on the validity and class applicability, and the final data were presented after the development data being revised to reflect the verification results. This study not only introduced the developed data, but also described the procedure of the data development process and the trial and error and concerns of the developers in the process to provide information on the nature of basic research to other field researchers who attempt data development.

Exploration of Features of Korean Eighth Grade Students' Attitudes Toward Science (우리나라 중학교 2학년 학생들의 과학에 대한 정의적 태도 특성 탐색)

  • Kwak, Youngsun
    • Journal of The Korean Association For Science Education
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    • v.37 no.1
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    • pp.135-142
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    • 2017
  • The Trends in International Mathematics and Science Study (TIMSS) announced the TIMSS 2015 results at the end of 2016. In this research, we analyzed the relationship between Korean eighth grade students' attitude toward science and science achievement, trends in students' attitude toward science based on common items used in three to four cycles of TIMSS, and trends across grades in students' attitude toward science. According to the results, Korean eighth grade students showed the lowest level of confidence with science, interest in learning science, and valuing science among the 15 top performing countries as well as all the participant countries. In addition, according to the analysis result of common items, Korean students' confidence with science and interest in learning science have decreased, whereas students' valuing science with instrumental values has increased between TIMSS 2011 and TIMSS 2015. According to trends across grades, the cohort of students, assessed at the fourth grade in TIMSS 2011 and moved to the eighth grade four years later in 2015, decreased in their confidence with science and interest in learning science. Discussed in the conclusion are further studies and ways to improve science teaching and learning to improve students' attitude toward science.

Design and Implementation of an Problem-Solving Based and Self-Directed Learning System on Web (웹에서 문제 해결 기반 및 자기 주도적학습 시스템의 설계와 구현)

  • Kim, Kyung-Deok;Lee, Sang-Woon
    • Journal of Korea Multimedia Society
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    • v.7 no.7
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    • pp.944-955
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    • 2004
  • The modern society as a high-level information-oriented society lays a great emphasis on lifelong education. It emphasizes all the learners' creative learning ability and various teaching-learning methods as well. We need the self-directed learning to meet these requirements, and one of the solutions is the self-directed teaching-learning process employing the web. Though many educators, so far, developed a number of teaching materials, they are no more than web-based teaching materials for simple learning activities or simple item-bank systems. So, this paper suggests an problem-solving based and self-directed learning system on web in order to overcome such simplicities, and it shows design and implementation of the system. Suggested learning system enables learners to get thinking skill though self-directed control of learning level after they learn the basic concepts and principles on the web as self-directed learning. For example, the system was applied to mathematics education for a middle school students. It supports a test of questions chosen from the item bank in a self-directed way, and helps learners to understand their learning levels for themselves and to solve their questions through on-line discussions with their instructor. The system can also be helpful in improving the learners' learning effects by sharing mutual information through the data room or the Q&A between learners and learners or between learners and instructors.

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Math Teaching Method and Classroom Environment Preferred by Gifted High School Students (고등학교 영재 학생들이 선호하는 수학 수업형태와 수업환경)

  • Lee, Dae-Won;Koh, Ho-Kyoung;Yoo, Mi-Hyun
    • Journal of Gifted/Talented Education
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    • v.22 no.1
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    • pp.23-37
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    • 2012
  • The purpose of this study is to design a more satisfactory and efficient teaching strategy for the gifted by comparing teaching type and learning environment preferred by the gifted with that preferred by normal students. As a result, the following findings are obtained. First, while the normal class students show higher preference for clarification and organization, gifted students prefer for diversification and specialization. Second, with the respect to the gender-related forms of mathematics classroom environment, the overall female preference and the average score are higher, indicating significant difference in the area is only a psychological domain. Third, compared to the regular classroom, the gifted have significantly different preference for teaching method, classroom and teachers' attitude between in the gifted class and regular class.

Flipped Learning mathematics impact on the University Academic Achievement (Flipped Learning이 대학수학의 학업성취도에 미치는 영향)

  • Kim, Dong-Ryool
    • Journal of the Korea Convergence Society
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    • v.8 no.6
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    • pp.209-218
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    • 2017
  • Flipped Learning is being suggested which is well known as a teaching method which lets students learn the contents they will learn in advance through the advance online video and have a discussion through the team interaction in the main class for them to solve the assignment through the cooperation in a self-initiated way. Therefore, this study was intended to confirm if the flipped learning class could improve the students' learning ability and raising the interest in math by complementing the problem on the lecture-type class by applying the flipped learning class to the college basic math subject. As a result, in the unit test result, the average score of the experimental group was more than 20 higher than one of the control group indicating that Flipped Learning had a great effect on improving the learning ability, and as for the introspection journal analysis, many subjects from the experimental group showed the positive attitude toward math they felt difficult unlike ones from control group indicating that it was effective in improving the interest level.

A Study of the Representation in the Elementary Mathematical Problem-Solving Process (초등 수학 문제해결 과정에 사용되는 표현 방법에 대한 연구)

  • Kim, Yu-Jung;Paik, Seok-Yoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.9 no.2
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    • pp.85-110
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    • 2005
  • The purpose of this study is to examine the characteristics of visual representation used in problem solving process and examine the representation types the students used to successfully solve the problem and focus on systematizing the visual representation method using the condition students suggest in the problems. To achieve the goal of this study, following questions have been raised. (1) what characteristic does the representation the elementary school students used in the process of solving a math problem possess? (2) what types of representation did students use in order to successfully solve elementary math problem? 240 4th graders attending J Elementary School located in Seoul participated in this study. Qualitative methodology was used for data analysis, and the analysis suggested representation method the students use in problem solving process and then suggested the representation that can successfully solve five different problems. The results of the study as follow. First, the students are not familiar with representing with various methods in the problem solving process. Students tend to solve the problem using equations rather than drawing a diagram when they can not find a word that gives a hint to draw a diagram. The method students used to restate the problem was mostly rewriting the problem, and they could not utilize a table that is essential in solving the problem. Thus, various errors were found. Students did not simplify the complicated problem to find the pattern to solve the problem. Second, the image and strategy created as the problem was read and the affected greatly in solving the problem. The first image created as the problem was read made students to draw different diagram and make them choose different strategies. The study showed the importance of first image by most of the students who do not pass the trial and error step and use the strategy they chose first. Third, the students who successfully solved the problems do not solely depend on the equation but put them in the form which information are decoded. They do not write difficult equation that they can not solve, but put them into a simplified equation that know to solve the problem. On fraction problems, they draw a diagram to solve the problem without calculation, Fourth, the students who. successfully solved the problem drew clear diagram that can be understood with intuition. By representing visually, unnecessary information were omitted and used simple image were drawn using symbol or lines, and to clarify the relationship between the information, numeric explanation was added. In addition, they restricted use of complicated motion line and dividing line, proper noun in the word problems were not changed into abbreviation or symbols to clearly restate the problem. Adding additional information was useful source in solving the problem.

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