• Title/Summary/Keyword: Mathematical competencies

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A study on the need for the consolidation of education that principals of technical highschool perceive regarding the occupational core competencies (직업기초능력의 교육 강화 필요도에 대한 공업계고교 교장의 인식)

  • Choi, Won-Sik
    • 대한공업교육학회지
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    • v.40 no.2
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    • pp.1-21
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    • 2015
  • The purpose of this study is to provide base line data to the educational settings so that more improved occupational core competencies could be taught under the formal curriculum of the technical highschool than before through the inquiry into 'the need for the consolidation of education that principals of technical highschool perceive'. Initial occupational key competencies had been prepared through the literature review on the occupational core competencies and the review on the key competencies by the experts in the field of technical industry had been performed to achieve the purpose of this study. The survey instrument consisting of final 9 occupational key competencies had been developed with the careful consideration for the calculation of the need for the consolidation of education using the Borich's model. The results show that principals for the technical highschool perceive the strong need for the educational consolidation regarding the all 9 occupational core competencies in the whole. However, for the specific key competency of understanding the organization and the mathematical competency, the principals of the technical meister highschool perceive somewhat differently from the principals of the specialized technical highschool. The principals in the meister highschool perceive not much need for the consolidation of education regarding the competency of understanding the organization and the mathematical competency.

Insights from edTPA in the United States on assessing professional competencies of preservice mathematics teachers (미국 edTPA 평가에서 요구하는 예비 수학 교사의 전문적 역량 분석)

  • Kwon, Oh Nam;Kwon, Minsung;Lim, Brian S.;Mun, Jin;Jung, Won;Cho, Hangyun;Lee, Kyungwon
    • The Mathematical Education
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    • v.62 no.2
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    • pp.211-236
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    • 2023
  • The purpose of this study is to derive implications of preservice mathematics teacher education in Korea by analyzing the case of edTPA used in the preservice teacher training process in the United States. Recently, there has been a growing interest in promoting professional competencies considering not only the cognitive dimension related to knowledge development of preservice mathematics teachers but also the situational dimension considering reality in the classroom. The edTPA in the United States is a performance-based assessment based on lessons conducted by preservice teachers at school. This study analyzes the professional competencies required of preservice mathematics teachers by analyzing handbooks that described the case of edTPA in which preservice mathematics teachers in the United States participate. The edTPA includes planning, instruction, and assessment tasks, and continuous tasks are performed in connection with classes. Thus, the analysis is conducted on the points of linkage between the description of evaluation items and criteria in the planning, instruction, and assessment tasks, as well as the professional competencies required from that linkage. As a result of analyzing the edTPA handbooks, the professional competencies required of preservice mathematics teachers in the edTPA assessment were the competency to focus on and implement specific mathematics lessons, the competency to reflectively understand the implementation and assessment of specific mathematics lessons, and the competency to make a progressive determination of students' achievement related to their learning and their uses of language and representations. The results of this analysis can be used as constructs for competencies that can be assessed in the preservice in the organization of the preservice mathematics teacher curriculum and practice training semester system in Korea.

A Study on the Level Estimation of Key Competencies in Automobile Production Management Fields (자동차 생산 관리 분야 직업기초능력의 수준 평가 연구)

  • Park, Sung-Jong;Park, Myoung-Ho;Han, Myoung-Seok
    • 대한공업교육학회지
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    • v.32 no.2
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    • pp.155-170
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    • 2007
  • The purpose of this study was to estimate key competencies according to their levels in order to understand person's ability in automobile fields of school and workplace. For this study, key competencies consisting of mathematical skills, problem solving skills, communications skills, self management and development skills, resources recycling skills, interpersonal relationship skills, technological skills, information skills, organizational understanding skills were determined. We examined the related literatures to determine the level of key competencies and diverse opinions were accommodated with visits to workplace in order to enhance the validity of the results of this study. Based on the results of this study, it was concluded that the estimation of key competencies according to their levels was possible and valid.

A study on content curriculum mapping of Korea in the OECD education 2030 project: Focused on mathematics (OECD Education 2030 교육과정 내용 맵핑 본검사 참여 연구 : 수학과를 중심으로)

  • Cho, Seongmin;Lee, Mee-Kyeong
    • The Mathematical Education
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    • v.58 no.4
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    • pp.507-518
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    • 2019
  • The OECD launched the Education 2030 project to develop a learning framework and to conduct the international comparative study on curriculum. As a part of the OECD international curriculum analysis, Korea Institute for Curriculum and Evaluation(KICE) conducted a main study of Curriculum Content Mapping (hereafter, CCM) in the 7 learning areas/subject areas such as national languages, mathematics, humanities/social sciences, natural science, physical education/health, arts, and technologies. The CCM study aimed to identify how the competencies on CCM framework were reflected in the Korea curriculum. For this purpose, KICE identified the competencies on CCM framework, revised the coding framework, and undertook the mapping process. In this study, we gathered the CCM data as an evidence of how competencies on CCM framework were embedded in the 2015 revised mathematics curriculum. For this purpose, experts in mathematics education undertook the mapping process, we summarized the results of CCM main study in mathematics. As the results, numeracy, critical thinking, problem solving, anticipation, action, reflection were perfectly embedded in the 2015 revised mathematics curriculum. the competencies on CCM framework were embedded in the 2015 revised mathematics curriculum, and but literacy, physical/health literacy, trust, learning to learn, reconciling tension and dilemmas, literacy for sustainable development, financial literacy, and entrepreneurship/enterprising were not clearly related to mathematics curriculum. The mapping results should help the Korea Ministry of Education and KICE for preparing the future curriculum revision and development.

The Analysis of Mathematical Tasks for developing the core competencies in High School "Mathematics" textbook (고등학교 <수학>교과서에 제시된 교과 역량 과제 분석)

  • Choi, Heesun
    • Journal of the Korean School Mathematics Society
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    • v.22 no.2
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    • pp.95-113
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    • 2019
  • In this paper, we analyzed the levels of cognitive demand of the tasks for developing t he mathematical core competencies presented in the "Mathematics" textbook of the first y ear of high school developed according to the 2015 revised mathematics curriculum. "Mathematics" textbook included 4999 mathematics tasks, of which 703 were tasks for developing the mathematical competency. Analysis of 703 mathematical tasks according to the analysis framework of Stein, Smith, Henningsen, and Silver (2000) showed that 61.5% of students required high cognitive levels, 38.5% required low cognitive levels, and the types of tasks were as follows: Low-M 1.0%, Low-P 37.5%, High-P 57.8%, High-D 3.7%. It w as found that most of the tasks for the purpose were tasks that led to understanding mathematical concepts, principles, and processes along procedural processes.

Development of Creative Problem-Solving Activities for Integrating Mathematics and Information Science: Focusing on the Hat Game for Mathematically Gifted Students (수학 정보과학 융합을 위한 창의적 문제해결 활동 개발: 영재 학생을 대상으로 한 모자 게임을 중심으로)

  • Seo, Jiyoung;Youn, Sang-Gyun
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.439-467
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    • 2022
  • The future society requires not only knowledge but also various competencies, including creativity, cooperative spirit and integrated thinking. This research develops a program for integrating mathematics and information science to enhance important mathematical competencies such as problem-solving and communication. This program does not require much prior knowledge, can be motivated using everyday language and easy-to-access tools, and is based on creative problem-solving activities with multilateral cooperation. The usefulness and rigor of mathematics are emphasized as the number of participants increases in the activities, and theoretical principles stem from the matrix theory over finite fields. Moreover, the activity highlights a connection with error-correcting codes, an important topic in information science. We expect that the real-world contexts of this program contribute to enhancing mathematical communication competence and providing an opportunity to experience the values of mathematics and that this program to be accessible to teachers since coding is not included.

A Study on the Creativity and Convergence Competency Represented in the New Seventh Grade Mathematics Textbook (2015 개정 수학 교과서에 반영된 창의·융합 역량 요소 탐색 - 중학교 1학년 그래프 단원을 중심으로 -)

  • Hwang, Hye Jeang
    • Communications of Mathematical Education
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    • v.32 no.4
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    • pp.477-493
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    • 2018
  • The six core competencies included in the mathematics curriculum Revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the creativity and convergence competency is very important for students' enhancing much higher mathematical thinking. Based on the creativity and convergence competency, this study selected the five elements of the creativity and convergence competency such as productive thinking element, creative thinking element, the element of solving problems in diverse ways, and mathematical connection element, non-mathematical connection element. And also this study selected the content(chapter) of the graph in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the five elements of the creativity and convergence competency were shown in each textbook.

An Analysis of Students' Mathematical Communication Competency focused on Fraction Division (분수의 나눗셈에 대한 초등학생의 수학적 의사소통 능력 분석)

  • Pang, Jeong Suk;Kim, Yoon Young;Sunwoo, Jin
    • Education of Primary School Mathematics
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    • v.25 no.2
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    • pp.179-195
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    • 2022
  • Mathematical communication competency, one of the six mathematical competencies emphasized in the latest mathematics curriculum, plays an important role both as a means and as a goal for students to learn mathematics. Therefore, it is meaningful to find instructional methods to improve students' mathematical communication competency and analyze their communication competency in detail. Given this background, this study analyzed 64 sixth graders' mathematical communication competency after they participated in the lessons of fraction division emphasizing mathematical communication. A written assessment for this study was developed with a focus on the four sub-elements of mathematical communication (i.e., understanding mathematical representations, developing and transforming mathematical representations, representing one's ideas, and understanding others' ideas). The results of this study showed that students could understand and represent the principle of fraction division in various mathematical representations. The students were more proficient in representing their ideas with mathematical expressions and solving them than doing with visual models. They could use appropriate mathematical terms and symbols in representing their ideas and understanding others' ideas. This paper closes with some implications on how to foster students' mathematical communication competency while teaching elementary mathematics.

Educational Needs Assessment for the Development of Curriculum based on Key Competencies of National Competence Standard(NCS) for Department related Culinary Arts in a 2-Year College (전문대학 조리관련 학과의 국가직무능력표준(NCS) 직업기초능력 기반 교육과정 개발을 위한 교육요구도 분석)

  • Na, Tae-Kyun
    • Culinary science and hospitality research
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    • v.23 no.5
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    • pp.58-66
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    • 2017
  • The purpose of this study was to assess priority of educational needs for the development of curriculum based on key competencies of NCS for departments related to culinary arts in a 2-year college. In order to achieve this objective, the survey has been distributed to cooks working in hotel restaurants or restaurant companies by social network service and a total of 360 responses were analyzed excluding 18 responses. The collected surveys were analysed by using paired t-test, Borich's needs analysis and the locus for focus analysis. The results of this study were as follows. First, the difference between the level of importance and present level about key competencies recognized by cooks working in restaurant company was statistically significant in 9 fields of key competencies excluding mathematical competence. The difference recognized by cooks working in hotel was statistically significant in all 10 fields of key competencies. Second, the results of Borich's needs assessment showed that the education needs of problem solving competence were the highest, followed by interpersonal, resource management, communication, information competence. Finally, considering both Borich's needs assessment and the locus for focus analysis, cooks working in hotel restaurants recognized that educational needs of communication, interpersonal, problem-solving, information competence were the top priority, and cooks working in restaurant companies recognized that educational needs of communication, interpersonal, skill, resource management competence were the top priority. Therefore, it is necessary to develop curriculum for culinary arts specialists based on key competence of top priority.

A Comparative Study on International Baccalaureate Diploma Programme(IBDP) Textbooks and Korean Textbooks by the 2015 Revised Curriculum -Focus on function from a mathematical modeling perspective- (우리나라 교과서와 International Baccalaureate Diploma Programme(IBDP) 교과서 비교·분석 -수학적 모델링의 관점에서 함수 영역을 중심으로-)

  • Park, Woo Hong;Choi-Koh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.25 no.2
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    • pp.125-148
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    • 2022
  • This study aimed to compare and analyze the number and characteristics of modeling problems in chapters related to function contents in International Baccalaureate Diploma Program (IBDP) mathematics textbooks and Korean high school mathematics textbooks. This study implies how the textbooks contributed to the improvement of students' modeling competency. In this study, three textbooks from IBDP and all nine textbooks from the Korean 2015 revised curriculum were selected. All the problems in textbooks were classified into real-world problems and non-real-world problems. Problems classified as real-world problems were once again divided into word problems and modeling problems according to the need to set up mathematical models. Modeling problems were further categorized into standard applications and good modeling problems depending on whether all the necessary information was included in the problem-solving process. Among the 12 textbooks, the textbook with the most modeling problems was the IBDP textbook, 'Math: Applications and Interpretation', which accounted for 50.41% of modeling problems to the total number of problems. This textbook provided learners with significantly higher modeling opportunities than other IBDP and Korean textbooks, which had 2% and 9% modeling problem ratios. In all 12 textbooks, all problems classified as modeling problems appeared as standard applications, and there were no proper modeling problems. Among the six sub-competencies of mathematical modeling, 'mathematical analysis' and 'interpretation and evaluation of results' sub-competencies appeared the most with very similar number of modeling problems, followed by the 'mathematization'. It is expected that the results of this study will help compare the number and ratio of modeling problems in each textbook and provide a better understanding of which modeling sub-competencies appear to what extent in the modeling problems.