• Title/Summary/Keyword: 수학교육과 교육과정

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An analysis of errors in problem solving of the function unit in the first grade highschool (고등학교 1학년 함수단원 문제해결에서의 오류에 대한 분석)

  • Mun, Hye-Young;Kim, Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.277-293
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    • 2011
  • The purpose of mathematics education is to develop the ability of transforming various problems in general situations into mathematics problems and then solving the problem mathematically. Various teaching-learning methods for improving the ability of the mathematics problem-solving can be tried. However, it is necessary to choose an appropriate teaching-learning method after figuring out students' level of understanding the mathematics learning or their problem-solving strategies. The error analysis is helpful for mathematics learning by providing teachers more efficient teaching strategies and by letting students know the cause of failure and then find a correct way. The following subjects were set up and analyzed. First, the error classification pattern was set up. Second, the errors in the solving process of the function problems were analyzed according to the error classification pattern. For this study, the survey was conducted to 90 first grade students of ${\bigcirc}{\bigcirc}$high school in Chung-nam. They were asked to solve 8 problems in the function part. The following error classification patterns were set up by referring to the preceding studies about the error and the error patterns shown in the survey. (1)Misused Data, (2)Misinterpreted Language, (3)Logically Invalid Inference, (4)Distorted Theorem or Definition, (5)Unverified Solution, (6)Technical Errors, (7)Discontinuance of solving process The results of the analysis of errors due to the above error classification pattern were given below First, students don't understand the concept of the function completely. Even if they do, they lack in the application ability. Second, students make many mistakes when they interpret the mathematics problem into different types of languages such as equations, signals, graphs, and figures. Third, students misuse or ignore the data given in the problem. Fourth, students often give up or never try the solving process. The research on the error analysis should be done further because it provides the useful information for the teaching-learning process.

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A Study on Intensive Quantities Handled in Korean Elementary Math Textbooks and Workbooks (우리나라 초등학교 수학 교과서 및 익힘책에서 취급하는 내포량에 관한 연구)

  • Choi, Jong Hyeon;Ko, Jun Seok;Lee, Jeong Eun;Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.1
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    • pp.1-15
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    • 2016
  • In this paper, the following three issues are discussed in connection with intensive quantities. (1) Is there any relationship among intensive quantity, per unit quantity, and ratio? (2) Which intensive quantities obtained by two same extensive quantities are handled? And How are they handled? (3) Which intensive quantities obtained by two different extensive quantities are handled? And How are they handled? Based on the results of this discussions, three implications are suggested as conclusions to explore the direction for the development of handling intensive quantities in elementary math textbooks and workbooks. Firstly, it is necessary to systematize the systemize a series of processes to handle intensive quantities. There is a need to rethink to use terms like speed and velocity before handling the ratio. Secondly, there is a need to rethink the definition of intensive quantities which have the particular names. For example, it is necessary to rethink using average distance in the definition of speed and the average population in the definition of density of population. Thirdly, it is necessary to consider the limiting the kinds of intensive quantities obtained by two same extensive quantities handled in the elementary math. There is a need to set limit to them which are used in daily life, and there is a need to rethink to use them which are used in the specialized area. There is a need to rethink the using hitting ratio in the form of %.

A Case Study on Children's Informal Knowledge of the Fractional Multiplication (분수의 곱셈에서 비형식적 지식의 형식화 사례 연구)

  • Haek, Sun-Su;Kim, Won-Kyung
    • School Mathematics
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    • v.7 no.2
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    • pp.139-168
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    • 2005
  • The purpose of this study is to investigate children's informal knowledge of the fractional multiplication and to develop a teaching material connecting the informal and the formal knowledge. Six lessons of the pre-teaching material are developed based on literature reviews and administered to the 7 students of the 4th grade in an elementary school. It is shown in these teaching experiments that children's informal knowledge of the fractional multiplication are the direct modeling of using diagram, mathematical thought by informal language, and the representation with operational expression. Further, teaching and learning methods of formalizing children's informal knowledge are obtained as follows. First, the informal knowledge of the repeated sum of the same numbers might be used in (fractional number)$\times$((natural number) and the repeated sum could be expressed simply as in the multiplication of the natural numbers. Second, the semantic meaning of multiplication operator should be understood in (natural number)$\times$((fractional number). Third, the repartitioned units by multiplier have to be recognized as a new units in (unit fractional number)$\times$((unit fractional number). Fourth, the partitioned units should be reconceptualized and the case of disjoint between the denominator in multiplier and the numerator in multiplicand have to be formalized first in (proper fractional number)$\times$(proper fractional number). The above teaching and learning methods are melted in the teaching meterial which is made with corrections and revisions of the pre-teaching meterial.

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A Study on the Students' Cognition of Chemistry in Science High School by Factor Analysis of Mathematics and Science Achievement (수학·과학 성취도의 요인 분석으로 본 과학고등학교 학생들의 화학 교과에 대한 인식 연구)

  • Shin, Dong-Seon;Choi, Hojun;Kim, Bong Gon
    • Journal of the Korean Chemical Society
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    • v.64 no.2
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    • pp.119-129
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    • 2020
  • For effective teaching-learning activities for students with diverse talents in science high schools, it is important for teachers to understand students' individual differences in perceiving and processing information in the natural world, depending on the students' various talents and subject characteristics. The purpose of this study is to examine the students' cognition of chemistry in science high school through correlations and factor analysis of mathematics/science achievement. In addition, this study attempted to examine the cognition of chemistry subject according to R&E classes. The main participants of the study were freshmen of G science high school (296 students) who entered after three times of curriculum reforms and new admission processes and the students in two other science high schools in Gyeongnam and Ulsan were included. The correlation and factor analysis were conducted by exploratory factor analysis by IBM SPSS Statistics 25 programs. The results of this study were as follows: First, in the correlation analysis between mathematics and science achievement, it was confirmed that the Pearson's coefficient of chemistry showed higher positive correlation coefficient than that of other science subjects. Second, in the factor analysis of mathematics and science achievements, it was found that the factor indicators were divided into two factors as logical-mathematical (mathematics and physics) and naturalistic (life science and earth science). Third, in the factor analysis, it was confirmed that the chemistry is recognized as the subject that requires both logical-mathematical and naturalistic intelligence. Finally, it was confirmed that students' cognitions of chemistry subject were found to differ according to the R&E classes. In other words, the participants of R&E chemistry class, unlike other students, were found to recognize chemistry as the subject that logical-mathematical intelligence is needed.

Effectiveness of G-learning Contents as an Educational Tool : The Analysis of G-learning Math in Elementary School (학습 도구로서 G러닝 콘텐츠의 활용과 학습 효과 분석 -초등학교 수학 교과 적용을 중심으로-)

  • Wi, Jong-Hyun;Song, In-Su
    • Journal of Korea Game Society
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    • v.11 no.3
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    • pp.55-62
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    • 2011
  • G-learning, based on online game, virtual reality activities and communities, is considered as a fresh, differentiated idea at learning which drives learners' interest and attention. The paper is to analyzed effectiveness of G-learning at the mathematics classes in elementary school. Fourth, fifth and sixth grade students in Seoul are selected as an experimental groups and their achievement scores are measured. The difference between G learning group and textbook group was significant. This result shows that G-learning has a positive effect on learning.

An Analysis on the Elementary Students' Problem Solving Process in the Intuitive Stages (직관적 수준에서 초등학생들의 수학 문제해결 과정 분석)

  • Lee, Daehyun
    • Journal of the Korean School Mathematics Society
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    • v.18 no.3
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    • pp.241-258
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    • 2015
  • The purpose of this paper is to examine the students' mathematics problem solving process in the intuitive stages. For this, researcher developed the questionnaire which consisted of problems in relation to intuitive and algorithmic problem solving. 73 fifth grade and 66 sixth grade elementary students participated in this study. I got the conclusion as follows: Elementary students' intuitive problem solving ability is very low. The rate of algorithmic problem solving is higher than that of intuitive problem solving in number and operation areas. The rate of intuitive problem solving is higher in figure and measurement areas. Students inclined to solve the problem intuitively in that case there is no clue for algorithmic solution. So, I suggest the development of problems which can be solved in the intuitive stage and the preparation of the methods to experience the insight and intuition.

Consideration on industry department test of vocational education area in college scholastic ability test (대학수학능력시험 직업탐구영역 공업계열 출제 문항에 관한 고찰)

  • Hahm, Seung-Yeon
    • 대한공업교육학회지
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    • v.32 no.2
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    • pp.23-46
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    • 2007
  • The purpose of this study was to present improvement directions of college scholastic ability test on industry department. Industry department test were classify and abstracted sampling test on contents and movement domain, analyzed example items of college scholastic ability test on industry department. Research methods used in this study were review of related literature, the item analysis and item pattern analysis between college scholastic ability test on introduction to industry and curriculum, contents of textbook. After finding a problem of developing items, trying to find a solution to the problem and developing an up-to-date method of items was to present improvement. Based on the result of the study, some recommendations for future researches were made as follows: First, a phenomenon of making same contents items over again and no making items not on made the items ever have to cut. Second, Time to read and make sense of items have to reduce because depend on the degree of difficulty related on time to understand of items. Third, the depth of textbook contents has to develop on curriculum this year. Fourth, the succeeding study on linkage between college scholastic ability test and simulation of college scholastic ability test. Fifth, verification validity on contents of new movement domain is developed new and striking test items.

Analysis of Computing Thinking Patterns revealed in Gifted Information Classroom Teaching based on a GoGo Bumper Car Project (고고범퍼카 프로젝트 기반의 정보영재반 수업에서 나타나는 컴퓨팅 사고 패턴 분석)

  • Jun, Youngcook
    • The Journal of Korean Association of Computer Education
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    • v.20 no.1
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    • pp.49-62
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    • 2017
  • This paper aims to deeply investigate the interactive patterns between a robot teacher and a participating gifted student who assembled GoGo Bumper car and controlled it with GoGo Monitor commands. Two days of classroom activities for the GoGo Bumper car project were videotaped between July 29 and 30 in 2013. Extra video-based recall interviews were also conducted three times between Nov 2013 and Jan 2014. The qualitative analysis of video data, GoGo Monitor codes and interview data revealed several unfolding patterns of computational thinking. The participating student while interacting with a robot teacher often contemplated and coded on his own ways as he worked with GoGo board testing and assembling a GoGo Bumper car. The overall process of coding and testing his own ideas by finding out relevant commands and arranging them attuned to his computational strategies seems to be cyclic.

Identifying a Structural Relationship among Self-Determination, Teaching Presence, Learning Outcomes of Elementary Students in Blended Learning Environment (초등 혼합형학습에서 자기결정성 동기, 교수실재감, 학습성과 간의 구조적 관계 규명)

  • Kang, Myunghee;Park, Namsu;Yoo, Eunjin;Kim, Yuna
    • The Journal of Korean Association of Computer Education
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    • v.16 no.4
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    • pp.1-11
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    • 2013
  • The purpose of this study is to investigate a structural relationship among elementary students' self-determinant learning motivation, teaching-presence and learning outcomes (learning satisfaction, persistence) in blended learning environment. Participants were 5th and 6th grade students who enrolled in a mathematics learning service. The results showed that self-determinant learning motivation had direct effect on teaching presence, learning satisfaction and learning persistence. Teaching Presence had an direct effect on learning satisfaction and learning satisfaction had an direct effect on learning persistence. Based on the results, proper strategies were recommended to facilitate self-determinant learning motivation and teaching presence before and during learning since they play critical roles for the success of elementary students learning outcomes in a blended learning environment.

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Removal of Super-Refraction Echoes using X-band Dual-Polarization Radar Parameters (X-밴드 이중편파 레이더 변수를 이용한 과대굴절에코 제거)

  • Seo, Eun-Kyoung;Kim, Dong Young
    • Journal of the Korean earth science society
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    • v.40 no.1
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    • pp.9-23
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    • 2019
  • Super-refraction of radar beams tends to occur primarily under a particular vertical structure of temperature and water vapor pressure profiles. A quality control process for the removal of anomalous propagation (AP) ehcoes are required because APs are easily misidentified as precipitation echoes. For this purpose, we collected X-band polarimetric radar parameters (differential reflectivity, cross-correlation coefficient, and differential phase) only including non-precipitation echoes (super-refraction and clear-sky ground echoes) and precipitation echoes, and compared the echo types regarding the relationships among radar reflectivities, polarimetric parameters, and the membership functions. We developed a removal algorithm for the non-precipitation echoes using the texture approach for the polarimetric parameters. The presented algorithm is qualitatively validated using the S-band Jindo radar in Jeollanam-do. Our algorithm shows the successful identification and removal of AP echoes.