• Title/Summary/Keyword: high school mathematics curriculum

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고등학교 수학 교육과정에서 명제논리에 대한 연구

  • Lee, Sun-Hong;Park, Sang-Ho
    • East Asian mathematical journal
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    • v.23 no.3
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    • pp.313-326
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    • 2007
  • The purpose of education of propositional logic is to understand the basic structure of the mathematics and to improve the logical thinking in normal life. But in the seventh curriculum, some basic terms, for examples $\wedge$ and $\vee$, are not introduced, the proposition $p{\\rightarrow}q$ is not defined properly, and use the wrong term $\Rightarrow$ so that it is difficult to understand the propositional logic. In this paper, we present a suitable content for the propositional logic in high-school mathematical class. We also present a proper definition of the proposition $p{x}{\Rightarrow}q{x}$ without using the notation $\rightarrow$. We finally give proper definitions of necessary conditions, sufficient conditions, and necessary and sufficient conditions.

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Complex number on textbooks and Analysis on understanding state of students (교과서에 표현된 복소수와 이에 대한 학생들의 이해 실태 분석)

  • Park, Seon-Ho;Pyo, Sung-Soo
    • The Mathematical Education
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    • v.51 no.1
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    • pp.1-19
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    • 2012
  • In this study, contents of 'the 2007 revised curriculum handbook' and 16 kinds of mathematics textbooks were analyzed first. The purpose of this study is to examine the understanding state of students at general high schools by making questionnaires to survey the understanding state on contents of chapter of complex number based on above analysis. Results of research can be summarized as follows. First, the content of chapter of complex number in textbook was not logically organized. In the introduction of imaginary number unit, two kinds of marks were presented without any reason and it has led to two kinds of notation of negative square root. There was no explanation of difference between delimiter symbol and operator symbol at all. The concepts were presented as definition without logical explanations. Second, students who learned with textbook in which problems were pointed out above did not have concept of complex number for granted, and recognized it as expansion of operation of set of real numbers. It meant that they were confused of operation of complex numbers and did not form the image about number system itself of complex number. Implications from this study can be obtained as follows. First, as we came over to the 7th curriculum, the contents of chapter of complex number were too abbreviated to have the logical configuration of chapter in order to remove the burden for learning. Therefore, the quantitative expansion and logical configuration fit to the level for high school students corresponding to the formal operating stage are required for correct configuration of contents of chapter. Second, teachers realize the importance of chapter of complex number and reconstruct the contents of chapter to let students think conceptually and logically.

Development and verification of an affective inventory in Mathematical Learning (수학 학습에 대한 정의적 성취 검사 도구 개발 및 검증)

  • Lee, Chong-Hee;Kim, Sun-Hee;Kim, Soo-Jin;Kim, Ki-Yeon;Kim, Bu-Mi;Yun, Soo-Cheol;Kim, Yun-Min
    • The Mathematical Education
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    • v.50 no.2
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    • pp.247-261
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    • 2011
  • In this study, the researchers developed an inventory which can measure the affective achievement in mathematical learning especially targeted to Korean students. By using EFA and CFA, the six affective factors of mathematical learning such as learning directivity, self control, anxiety, interest, cognizing value and confidence are distinguished. Also, the content validity of this inventory was examined by the experts groups, composed of mathematics education professors, high school mathematics teachers, and measurement experts. The reliability of the instrument was high enough to trust the results. Through a large scaled sampling, the reliability and validity of this inventory were verified. In addition, this inventory was developed not by a partial aspects of a certain theory but based on the recent theories. Due to these reasons, the results of this study can be respected that it plays a leading part in understanding the affective achievement of Korean students.

The Present Situations and Subjects of Mathematics Education in Japan (일본의 산수.수학교육의 현상과 과제)

  • Iwago Kazuo
    • The Mathematical Education
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    • v.24 no.2
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    • pp.9-26
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    • 1986
  • The mathematics education circles in Japan has a variety of subjects. I want to speak w generally are considered on those subjects. Some of these subjects are as follows: (1) The ratio of students who go on to high schools is about 95 percent, so that it is h to solve how to design the mathematics curriculum for the poor scholars. (2) Though the effects of instruction at the schools does not betray the nation's trust, JUKU increase in number. Thus all teachers in schools cannot but endeavor to fulfil the responsibility. (3) Some of the junior high school's teachers suffer from the misconducts and violences pupils. Thus researchers of mathematics education in such schools tend to stagnate. 4) The tudents and pupils get good results in the examinations of calculation, but in the examinations such as word problems that require their judgements not so. Etc. t is not easy to solve or cope with the these subjects. or the subjects as (3), all teachers concentrate their efforts on the activation of lessons the heightening the pupil's will to learn. or the subjects as (4), the idea of mathematical thinking has be advocated since about 1960, recently the 'problem solving' are proposed and are studying. Lastly the researchers in the university are theorizing their own works and digest and utilize arge foreign's literatures. Furthermore a great number of teachers make an effort to research their calssrooms. But a great part of the results of their researches are utilized only in country. I hope, hereafter, that the effects of researches in Japan become known and ized to the foreign countries.

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Analysis on the Paper-Based Assessment of Mathematics in High School - Focused on Geometry and Vector - (고등학교 수학과 지필평가 문항 분석 - 기하와 벡터를 중심으로 -)

  • Yang, Seong Hyun;Lee, Hwan Chul
    • Journal of Educational Research in Mathematics
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    • v.24 no.4
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    • pp.573-594
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    • 2014
  • Capacity of making assessment items among teacher's assessment competency is essential element in validity and reliability of assessment. Errors in test items on the formal and content aspects can be a big stumbling block to derive a correct evaluation result. Through this assessment, the positive feedback can not be derived. In this study, By analyzing midterm and final 60 exam papers for geometry and vector in 45 high Schools of Seoul GyeonggiIncheon area, We argue error items and improvements on the formal and content aspect the paper-based assessment of mathematics. Through this, Our intention is to improve the skills of teachers for making assessment items.

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A Study on the Research Trends of 『Journal of Elementary Mathematics Education in Korea』 through a Keyword Network Analysis (키워드 네트워크 분석을 통한 『한국초등수학교육학회지』 연구의 동향 분석)

  • Moon, So Young;Cho, Jinseok
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.4
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    • pp.459-479
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    • 2019
  • The purpose of this study is to explore the research trends and knowledge structures of 『Journal of Elementary Mathematics Education in Korea』 by applying the keyword network analysis. To do this, we analyzed the frequency of the occurrence of keywords in the journal and conducted keyword network analysis using the Krkwic program and NodeXL program. The results of the analysis are as follows. Firstly, 749 keywords were extracted from keyword cleansing process and 48 keywords, including mathematics curriculum, mathematics textbooks, school mathematics, mathematical problem solving, mathematically gifted student, etc. appeared more than five times. Secondly, the keyword network analysis showed that the keywords-mathematics textbooks, school mathematics, mathematical problem solving, mathematical communications-have high connection centrality. Finally, we provided the limitations of this study and suggested future research.

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A Basic Data Research on Effective Studying of Technical High School Department of Electricity Graduate Students in Junior College Department of Electricity (전문대학 전기전공학과에서 고등학교 전기전공과 졸업생의 효과적인 학습을 위한 기초자료 연구)

  • Lee, Sang-Seock;Kim, Min-Huei;Park, Chan-Gyu;Lee, Jae-Yong;Cho, Sea-Ho;Song, Tae-Beom;Bae, Byung-Ho;Lee, Jong-Woo;Jeong, Ahn-Sik;Choi, Sung-Ha;Shin, Dong-Soo;Yoon, Sang-Gil
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.52 no.3
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    • pp.127-136
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    • 2003
  • A point of doing this research is to give basic data for Junior college having matriculation resources in department of electricity majoring to the graduate students from technical high school in department of electricity. We have examined the effect of the 6th and the 7th educational curriculum and courses in department of electricity on technical high school and analyzed basic subjects of technical high school and detailed major basis subject of junior college in department of electricity by educational courses and mathematics education contents. Also we have examined tried to secure advantage of major studying on the basis of result of analysis.

Development of Mathematics Learning Contents based on Storytelling for Concept Learning (초등학교 수학과 개념학습을 위한 스토리텔링 기반학습 콘텐츠 개발)

  • Oh, Young-Bum;Park, Sang-Seop
    • Journal of The Korean Association of Information Education
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    • v.14 no.4
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    • pp.537-545
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    • 2010
  • The purpose of this paper is to develop mathematics learning contents for elementary school 3rd graders and to verify the educational effectiveness of contents developed. An ADDIE model was applied to develop mathematics learning contents based on storytelling for concept learning. After extracting 54 concepts from the mathematics curriculum, researchers designed strategies using concepts that were combined with context which is familiar to young students. Researchers implemented a survey and interview to students and teachers to verify the effectiveness of contents. As a result, the understanding, interest, concentration, and expectation of students toward the contents developed were very high, and teachers also mentioned that these contents could be very useful teaching materials for motivation.

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A Design and Implementation of Graphic Component for Function Learning in Mathematics (수학과 함수 학습을 위한 그래픽 컴포넌트 설계 및 구현)

  • Shin, Woo-Chang;Kim, Kap-Su
    • The Journal of Korean Association of Computer Education
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    • v.10 no.4
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    • pp.51-59
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    • 2007
  • There is the meager level of applying computers to mathematics education. It is because the effective mathematics educational softwares and the various contents that make students' spontaneous participation through the interaction with computers are insufficient. As a solution to solve it, we design and implement the graphic component, graphic entities and function types that are supported in the component was identified through analyzing the mid/high school curriculum, using a simple script language to invoke the functionality of the component improves reusability and extendability. The component can be used to produce the mathematics educational softwares and contents easily that need the facility to draw various functions and geometric figures.

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An analysis of the change in mathematical inclination of middle level engineering college freshmen (중위권 공과대학 신입생들의 수학적 성향의 변화 분석)

  • Lee, Gyeoung Hee;Lee, Jung Rye
    • Communications of Mathematical Education
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    • v.29 no.4
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    • pp.745-762
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    • 2015
  • In order to examine the change in mathematical inclinationn of middle level engineering college freshmen, we analyse the change of mathematical inclination between 2011 year and 2015 year freshmen who took college scholastic ability test which are based on the national mathematics curriculum 7th and 7th revision, respectively. In medium-sized D university, 2011 year and 2015 year engineering freshmen were taken the test for mathematical inclination, the survey for mathematical background and the recognition of college mathematics and basic mathematical ability test. The outcomes of this survey are followings: Firstly, between 2011 year and 2015 year freshmen, the mean of confidence and flexibility are same, but the 2015's mean of willpower, curiosity, value and esthetics are greater than 2011's. Secondly, in the mean of flexibility, willpower and curiosity, natural science's mean is greater than humanity's. Thirdly, the mean of mathematical inclination's factors is depend on college mathematics goal. Fourthly, there is little correlation between mathematical basic ability and mathematical inclination. Moreover for 2011 year and 2015 year freshmen, the mean of mathematical inclination's factors except value is proportional to mathematical basic ability. For the success of college mathematics in engineering college, this study suggests that high school mathematics curriculum and college scholastic ability test must contain calculus. We also suggest that college mathematics class must be focused on mathematical inclination improvement.