• Title/Summary/Keyword: contents of mathematics education

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Analysis of Change of Achievement Standards according to Curriculum of Mathematics in Elementary School: Focusing on Number and Computation Area (초등학교 수학과 교육과정에 따른 성취기준 변화 분석: 수와 연산 영역을 중심으로)

  • Kim, Hyunmi;Sihn, Hanggyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.19-41
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    • 2019
  • In this study, we present an analysis framework based on the 2015 revised curriculum to analyze how mathematical contents and achievement standards for domains of numbers and computations have changed in the curriculum of elementary mathematics in Korea. Based on this, we classified the achievement standards by type and investigated their characteristics. The achievement standards for numbers and computations can be divided into the successive, the extinctive, and the additive achievement standards depending on their characteristics. The successive achievement standards are the ones that have consistently existed without being removed from the 1-st curriculum to the latest revision in 2015. The extinctive achievement standards are the ones that have been removed at some point during the revisions of nine times and do not remain in the current revision in 2015. The characteristics of the extinctive achievement standards were analyzed to be different before and after the 4-th curriculum. The additive achievement standards refer to the ones that have been newly added to the curriculum or that have been removed at a certain moment but added back in later and thus exist in the current revision in 2015. The characteristics of each type according to the changes of the achievement standards can be thought to be the results that the revision for the mathematics curriculum in Korea has been faithfully conducted. Based on the results of this study, we suggest some implications for organizing the achievement standards in the future curricular development.

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Exploring Domestic and International Elementary School Convergence Science Education Program - Korea, the U.S., and the U.K. - (국·내외 초등학교 융합 과학 교육 프로그램 탐색 - 한국, 미국, 영국을 중심으로 -)

  • Na, Sanghoon;Kwon, Nanjoo
    • Journal of Korean Elementary Science Education
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    • v.33 no.2
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    • pp.231-241
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    • 2014
  • This study is subject to compare the STEAM and the STEM education of Korea, the U.K., and the U.S. to find their differences and similarities, as well as the implications in implementing the STEAM education in Korea. In order to accomplish this, the educational objectives, contents and topics, teaching and learning methods, subjects and timing for education, and convergence curriculum were compared; also, after choosing the representative program of each country, a cross-comparative analysis was done for the teaching and learning method distribution ratio, content element distribution ratio, program distribution ratio, STEAM domain ratio, curriculum structure and domain ratio, frequency of inquiry process, basic inquiry, integrated inquiry frequency, hourly basic inquiry, and integrated inquiry process. As a result, it was possible to obtain 77 programs, a total of 656 class hours of Korea, 65 programs and 846 class hours of the U.S., and 75 programs and 774 class hours of the U.K. The results are as follows: Korea's STEAM and the U.K. and the U.S.' STEM all include science, technology, engineering, arts, and mathematics, but in terms of frequency, Korea's STEAM has higher figure in arts. However, the U.K. and the U.S. have higher frequency of debate and discussion, and there were many cases of a student, after receiving feedback from other students, modifying the work.

Effects of Mathematical Instructions Based on Constructivism on Learners' Reasoning A bility (구성주의 수학 수업이 추론 능력에 미치는 영향 - 초등학교 3학년 나눗셈을 중심으로 -)

  • Cho, Soo-Yun;Kim, Jin-Ho
    • Education of Primary School Mathematics
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    • v.14 no.2
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    • pp.165-185
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    • 2011
  • The purpose of this study is to confirm the effects of the learner-centered instruction based on constructivism on learners' reasoning ability and their achievements which is closely related to reflective abstracting ability. To do it, learner-centered instructions for division was implemented, recall test, generation test, content reasoning test I and II were carried out. The following conclusions were drawn from the data we got. Experimental group(EG) improved their reasoning ability, while comparison group(CG) did not. EG showed statistically significant difference in the achievements of the contents learned in comparing with CG, and the difference in the achievements of the contents unlearned in the treatment in comparing with CG was higher than the one. In addition, the comparisons of the subgroups(high, middle, and low) between EG and CG showed that the treatment had a positive influence on the achievement to all subgroups in EG. That is, the treatment was effective for unable learners. Finally, EG showed statistically significant difference in the sub-domain of simple calculation which might be considered as the benefits of the treatment of the CG as well as in the sub-domain of concept and principle.

A Study on the Development of Programming Education Model Applying English Subject in Elementary School (초등학교 영어교과를 적용한 프로그래밍 교육 모델 개발)

  • Heo, Miyun;Kim, Kapsu
    • Journal of The Korean Association of Information Education
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    • v.21 no.5
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    • pp.497-507
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    • 2017
  • Research on software education and linking and convergence of other subjects has been mainly focused on mathematics and science subjects. The dissatisfaction of various preferences and types of learning personality cause to learning gap. In addition, it is not desirable considering the solution of various fusion problems that can apply the computational thinking. In this way, it is possible to embrace the diverse tendencies and preferences of students through the linkage with the English subject, which is a linguistic approach that deviates from the existing mathematical and scientific approach. By combining similarities in the process of learning a new language of English education and software education. For this purpose, based on the analysis of teaching - learning model of elementary English subject and software education, we developed a class model by modifying existing English subject and software teaching - learning model to be suitable for linkage. Then, the learning elements applicable to software education were extracted from the contents of elementary school English curriculum, and a program applied to the developed classroom model was designed and the practical application method of learning was searched.

An Analysis and Criticism on Contents Related on Angular Measure in Korean Elementary Mathematics Subject (우리나라 초등학교 수학과에서의 각도 관련 내용의 분석과 비판)

  • Park, Kyo-Sik
    • School Mathematics
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    • v.12 no.1
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    • pp.45-60
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    • 2010
  • In school mathematics, gakdo(korean, ie angular measure in english) lost effectiveness as a term, on the other hand, an expression gak-ui-kugi(korean, ie size of angle in english) is prevalent these days. So it is necessary to accept this expression. It is necessary to specify in textbook that the size of angle rely on the degree of gap between two edges regardless of the length of edges. The content of curriculum manual and the content of textbooks must be reconciled. Random units for measuring the size of angle are not contained in textbooks. It can be possible, but it is not carried out actually. So, it is necessary not to require it in curriculum manual considering this circumstance. In curriculum manual, it is necessary to specify the role of 1-right angle as a standard unit, and situations to use it must be presented in textbooks. In cut-paste method of finding the sum of the size of three angles in a triangle and the sum of the size of four angles in a quadrilateral, keeping a straight angle and one rotation in mind, an explanation is based upon a premise that students know how to express the $180{^{\circ}}$ and $360{^{\circ}}$ in figure as a result. It is a leap of logic.

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Development of Preservice Mathematics Teacher' Assessment Literacy Using PISA Items (PISA 문항을 활용한 예비 수학교사의 평가 전문성 신장 방안)

  • Lee, Minhee;Rim, Haemee
    • Journal of Educational Research in Mathematics
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    • v.25 no.2
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    • pp.157-175
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    • 2015
  • This study was conducted with the aim to develop and improve the assessment literacy of teachers which enables it to develop and utilize the assessment items using a wide range of contexts on the basis of an understanding of math contents and mathematical process specified in the math curriculum and to analyze the results in an effective way. To analyze the changes in the development and improvement of the assessment literacy of preservice math teachers, the author of this study, using PISA items and assessment framework, analyzed the changes through the 1st and 2nd development of assessment items. The results showed the assessment literacy of preservice math teachers and their ability have been improved, implying that there is the necessity to develop a wide range of programs to improve the assessment literacy of preservice math teachers and provide such programs on a regular basis, which will facilitate effective math teaching and learning.

An Analysis on the Types of Errors in Mathematics and How to Overcome the Errors in the Area of the Equation of a Circle in the High School (원의 방정식에서의 오류 극복 학습에 관한 연구 - 고등학교 1학년을 중심으로 -)

  • Han, Kyung Min;Choi-Koh, Sang Sook
    • School Mathematics
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    • v.16 no.1
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    • pp.57-81
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    • 2014
  • This study was to investigate how the underachievers of mathematics in a non-leveling excellent high school would overcome the errors through the lessons based on the inductive thinking model in the equation of a circle. The results showed that when there were many stages to solve the problem, the students gave it up or forgot the stage they reached. In this case, if they had a revisit-opportunity to review their thinking process by planning ahead the stage to solve the problem and recording it, the omission error of the solving process and the error of wrong conclusions would be dramatically decreased. Moreover, they understood the mathematical concept, principle, and formula and remembered the learning contents extremely well through thinking by themselves in exploration-based activities and by using visualization for the problem and could solve the problem through these pictures besides algebraic expressions.

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International Comparative Analysis on East Asian Top Level Countries' Mathematics Achievements in PISA 2012 Results (동아시아 상위 성취국의 PISA 2012 수학 결과 비교 분석)

  • Rim, Haemee
    • Journal of the Korean School Mathematics Society
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    • v.19 no.4
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    • pp.441-457
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    • 2016
  • The purpose of this study is to analyze Korean students' mathematics achievement characteristics and draw implications for better math education in schools through comparing the results of three east Asian top level countries, Korea, Singapore, and Japan in PISA 2012 results. As a results, the rate of correct answers of Korea students was relatively low compared with those of Singapore, but relatively higher than Japan. From the results of effect size, similar results from t-test was discovered. As shown in analysis according to sub-elements in math assessment framework, the Korean students had low effect size in every sub-elements than Singapore. and they had high effect size at most of sub-elements than Japan, except "personal" context. In top performing level(above level 5), the Korean students had high effect size at "quantities" in mathematical contents, and "employ" in mathematical processes compared with Singapore. And they had row effect size at 6 sub-elements compared with Japan.

The Study on the Investigation of the Evaluation Standards for Mathematics Teaching Focused on Teacher's Knowledge (수학 수업에서 요구되는 교사 지식에 대한 평가 기준 재탐색)

  • Hwang, Hye-Jeang
    • Communications of Mathematical Education
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    • v.26 no.1
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    • pp.109-135
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    • 2012
  • On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Teacher Knowledge. The purposes of development of evaluation standards for mathematics teaching through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those studies focused on the knowledge of subject matter knowledge, knowledge of learners' understanding, teaching and learning methods and assessments, and teaching contexts. For this purpose, the part of subject matter knowledge was consisted of four evaluation domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value. The part of Learners' unders tanding included the evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies. The part of teaching methods and evaluation was consisted of seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. Also, the part of teaching context was consisted of four evaluation domains such as application of instructional tools and materials, commercial manipulatives, environment of classroom including distribution and control of class group, atmosphere of classroom, management of teaching contexts including management of student. According to those evaluation domains of each teacher knowledge, elements on teaching evaluation focused on the teacher's knowledge were established using the instructional evaluation framework, which is developed in this study, including the four areas of obtaining, planning, acting, and reflecting.

The Development of Contents Systems on Major Course Materials for Technical College in Electric-Electronic Field (전문대학(專門大學) 전기.전자분야(電氣.電子分野) 전공교과(專攻敎科)의 컨텐츠 체제(體制) 개발(開發) 방향(方向))

  • Kim Sun-Tae;Rho Tae-Cheon;Kim Choon-Gil
    • Journal of Engineering Education Research
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    • v.5 no.2
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    • pp.22-35
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    • 2002
  • The main purpose of this study is to prepare an outline for developing the Contents Systems that achieve self-study systems to make the students adopt themselves into new study atmosphere and maximize the result of study on technical college in Electric-Electronic field. Questionnaire posed to analyze the demand of teaching materials to the students, and professors and also to find characteristics of students in technical college. The SPSSWIN/PC+ statistics Package was used to assay the collected answers. And simple frequency with percentage, average, and standard deviation were calculated to check the entire trend and actual state of each question. The primary outcomes of this study are as follows i) The students in the technical college prefer self-directed learning to lecturer-oriented teaching. ii) It is difficult to offer the technical college students normal education systems since the students?interest and motivation towards study are very low. iii) The lack of capability of foreign language and basic mathematics are considered as obstacles for many students technical college to study. iv) The professors in technical college still depend on traditional method to teach the students without organized research of the intellectual levels and attitude the students. v) Teaching materials in currently use are not appropriated to induce the motivation and interest of study from the students. Also, the teaching materials in use now were discovered not to have enough originality, practical application, andwere text based. Therefore, the improvement of the existing teaching materials was demanded while the fundamental ability to study of general students is declining. Consequently, it is necessary to introduce new teaching materials which are simple, easy, and organized to offer the studen ts study desire and interest.