• Title/Summary/Keyword: K-12 mathematics curriculum

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Teachers' Perceptions and Applications of Key Competency-Based Learning and Instruction in Mathematics Classrooms (수학과 교수.학습 과정에 핵심역량의 반영 정도와 그 가능성에 대한 교사들의 인식조사)

  • Kim, Hae Yoon;Huh, Nan;Noh, Ji Hwa;Kang, Ok Ki
    • Journal of the Korean School Mathematics Society
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    • v.15 no.4
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    • pp.605-625
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    • 2012
  • This study examined how 132 teachers of different grade levels incorporate the key competencies identified by Korea Institute for Curriculum and Evaluation into their mathematics teaching and how they perceive of its full potential of the competency-based learning and teaching in mathematics classroom. Survey and semi-structured interview methods were used to collect data for the study. It was found that in their instruction teachers emphasized competencies such as problem-solving, literacy, creativity, communication and information-processing skills in order. Inter-personal skills, self-management, citizenship, global understanding and career-development appeared to be challenging competencies for teachers to reflect in their instruction with the reasons such as no direct connections to mathematics and insufficient instruction. Findings of the study suggest that various instructional methods, development and dissemination of related curricula materials, change of evaluation method, and change teachers' perceptions may be needed for incorporating KICE's key competencies in K-12 mathematics education.

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A Study on the Curriculum for Elementary and Middle School in Robot and Convergence Activity (초.중학교 로봇융합활동 교육과정에 관한 연구)

  • Park, Jung-Ho;Kim, Chul
    • Journal of The Korean Association of Information Education
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    • v.18 no.2
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    • pp.285-294
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    • 2014
  • Recently, research using robots as a learning tool has increasingly been conducted in K-12 education area. It has been known that hands-on robots give positive educational effect not only on science and mathematics, but on STEAM activity, and help improve the abilities necessary in the 21 century, such as critical thinking, creativity, communication skills, and team work. Despite many research achievements, there is still few research on robot based curriculum to improve the instrumental application of robots in the primary and secondary education fields. In other words, there is a lack of studies of systematic educational contents, educational methods and educational evaluation to increase the instrumental application according to schools and class years. Therefore, this study analyzed domestic and foreign robot based curriculums and relevant cases to develop 'robot' related educational programs in primary school and middle school, suggested the achievement objectives in the robot area as a sub category of the computer science curriculum which will be revised, and proposed teaching-learning method and evaluation method.

A Study on Improving the Quality of the Assessment Items by Analyzing the Types of Their Modification (평가 문항의 질 향상을 위한 문항 수정 유형 분석)

  • Ko, Jung-Hwa
    • School Mathematics
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    • v.12 no.2
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    • pp.113-136
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    • 2010
  • According to the self-assessment tool identifying teacher's competence in assessment, many teachers have difficulty in making assessment tools. This study analyzes the types of modification with data of NAEA(National Assessment of Educational Achievement) items from 2006 to 2008. NAEA goes through complicated formalities from begin to make draft items to completing them. This study shows the types of item modification and its specific examples. NAEA analyzes the degrees of studuents' achievement according to the educational objectives of the National Curriculum. This study provides specific comments on making mathematics assessment items to the teachers who embody national curriculem. Therefore this study will contribute to improve mathematics teacher's professional competence in the area of assessment tool development.

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A Study on the Mutural Relation of Quadrilateral in History of Mathematics Education of South Korea (우리나라 초등학교 수학에서 사각형의 상호 관계 지도 변천 재음미 - 1차에서 3차 교육과정까지의 변화를 중심으로-)

  • Cho, Young-Mi
    • School Mathematics
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    • v.12 no.3
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    • pp.389-410
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    • 2010
  • In this paper we examined the mutural relation of quadrilateral for the purpose to know the reason why we taught the mutural relation of quadrilateral in elementary school. We looked through the several materials, for example, national curriculum, textbooks, guide books for teachers in 1st, 2nd, 3rd curriculums. Finally we found that the mutural relation of quadrilateral was deeply involved in the concept of sets, or the concept of inclusion.

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Analysis of the Mathematical Processes in Mathematical Essay Lessons : Focused on the Probability and Statistics Domain (수학논술을 활용한 수업에서 나타나는 수학적 과정 분석: 확률과 통계 영역을 중심으로)

  • Kim, Kyu-Sang;Lee, Jae-Hak;Lee, Kwang-Ho
    • School Mathematics
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    • v.16 no.3
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    • pp.543-565
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    • 2014
  • The purpose of this study is investigating the various properties related with mathematical processes in the mathematical essay lessons, analyzing the positive changes of students, and proposing an example that the mathematical essay lessons can be a model for changing traditional mathematical lessons. To carry out the research, mathematical essay questions were developed based upon the high school mathematics curriculum in probability and statistics domain. Eight 12th graders were participated for the research. Variety of properties related mathematical problem solving, reasoning, and communication in the lessons were appeared. The research conclude that mathematical essays are helpful not only appearance of general properties related mathematics process, but also appearance of properties that would be low chance of developed.

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Examining the breadth and depth of knowledge required in the teacher employment test for secondary mathematics (수학과 중등학교 교사 임용후보자 선정경쟁시험에서 요구되는 지식의 영역과 수준 분석)

  • Lee, So Yeon;Kim, Rae Young
    • The Mathematical Education
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    • v.60 no.3
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    • pp.281-295
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    • 2021
  • This study examines the breadth and depth of knowledge of the teacher employment test for secondary mathematics. For the breadth of knowledge, we attempted to figure out the range of knowledge in terms of the content areas using the standards from the Korea Society Educational Studies in Mathematics[KSESM](2008). For the depth of knowledge, we chose Anderson & Krathwohl(2001) framework to analyze levels of each item in the test. The results from the analysis of 180 items in the teacher employment test between 2014 and 2021 show that while items in mathematics education have considerable variation in terms of range and levels of knowledge, those in some subjects of mathematics can be found only certain level of knowledge. i.e., merely certain topics or levels of knowledge have been heavily evaluated. Thus, considering the breadth and depth of knowledge teachers should have, the current exam needs to be improved in terms of teacher knowledge. It does not mean that every topic and every level of knowledge should be evaluated. However, it is a meaningful opportunity to think about what kinds of knowledge teachers should have in relation to K-12 mathematics curriculum and how we can evaluate the knowledge. More collaborative effort is inevitable for the improvement of teacher knowledge and teacher employment test.

An Investigation of Mathematically High Achieving Students' Understanding of Statistical Concepts (수학 우수아의 통계적 개념 이해도 조사)

  • Lee, Kyeong-Hwa;Yoo, Yun-Joo;Hong, Jin-Kon;Park, Min-Sun;Park, Mi-Mi
    • School Mathematics
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    • v.12 no.4
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    • pp.547-561
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    • 2010
  • Even though statistics is considered as one of the areas of mathematical science in the school curriculum, it has been well documented that statistics has distinct features compared to mathematics. However, there is little empirical educational research showing distinct features of statistics, especially research into the understanding of statistical concepts which are different from other areas in school mathematics. In addition, there is little discussion of a relationship between the ability of mathematical thinking and the ability of understanding statistical concepts. This study extracted some important concepts which consist of the fundamental statistical reasoning and investigated how mathematically high achieving students understood these concepts. As a result, there were both kinds of concepts that mathematically high achieving students developed well or not. There is a weak correlation between mathematical ability and the level of understanding statistical concepts.

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Comparison of the Curricula and the Textbooks Concerning the Proportion and Ratio Area between Korea and Singapore (비와 비율 영역에 대한 우리나라와 싱가포르 교육과정 및 교과서 비교 -TIMSS 평가목표와 공개문항을 중심으로)

  • Kim, Kyung-Hee;Paik, Hee-Su
    • School Mathematics
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    • v.12 no.4
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    • pp.473-491
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    • 2010
  • In the TIMSS assessment goal and open TIMSS 2007, Singapore recorded a lower overall achievement level compared with Korea; however, the excellent results shown by Singapore furnished an opportunity for various countries to research into the education in Singapore. This paper conducted a comparative analysis of the "Proportion, Proportional Expression, and Percentile" area out of the three topics involving "Fractions and Decimals", "Proportion, Proportional expression, and Percentile", and "Measurement", in all of which Singapore exhibited a higher percentage of correct answers than Korea. The paper was able to discover the following differences through a comparative analysis of how Korean and Singaporean textbooks deal with the open questions of TIMSS 2007 after looking into them according to four assessment goals. First, the Singaporean textbook introduced the concept of proportion one year ahead of the Korean textbook. Second, the Singaporean textbook repeatedly coped with the topic of "Proportion, Proportional Expression, and Percentile" in depth and by academic year, and its volume was larger than that of the Korean textbook. Third, there was a difference in the introduction and definition of the concept of proportion. Fourth, the way of introducing a proportional expression was also different, and the Singaporean textbook proposed many more questions that utilize this expression in ordinary life. Based on these differences, the paper suggested implications that could be applied to the Korean curriculum and textbook.

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A Case study of Metacognitive Strategy Training on Mathematical Problem Solving (메타인지적 활동의 훈련을 통한 문제해결 과정에서의 사고 과정 분석 사례 연구)

  • Lee, Bong-Ju;Ko, Ho-Kyoung
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.291-305
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    • 2009
  • The purpose of this article is to formulate the base that mathematical thinking power can be improved through activating the metacognitive ability of students in the math problem solving process. The guidance material for activating the metacognitive ability was devised based on a body of literature and various studies. Two high school students used it in their math problem solving process. They reported that their own mathematical thinking power was improved in this process. And they showed that the necessary strategies and procedures for math problem solving can be monitored and controled by analyzing their own metacognition in the mathematical thinking process. This result suggests that students' metacognition does play an important role in the mathematical thinking process.

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Review on Artificial Intelligence Education for K-12 Students and Teachers (K-12 학생 및 교사를 위한 인공지능 교육에 대한 고찰)

  • Kim, Soohwan;Kim, Seonghun;Lee, Minjeong;Kim, Hyeoncheol
    • The Journal of Korean Association of Computer Education
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    • v.23 no.4
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    • pp.1-11
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    • 2020
  • The purpose of this study is to propose the direction of AI education in K-12 education through investigating and analyzing aspects of the purpose, content, and methods of AI education as the curriculum and teacher training factors. We collected and analyzed 9 papers as the primary literature and 11 domestic and foreign policy reports as the secondary literature. The collected literatures were analyzed by applying a descriptive reviews, and the implications were derived by analyzing the curriculum components and TPACK elements for multi-dimensional analysis. As a result of this study, AI education targets were divided into three steps: AI users, utilizer, and developers. In K-12 education, the user and utilizer stages are appropriate, and artificial intelligence literacy must be included for user education. Based on the current computing thinking ability and coding ability for utilizer education, the implication was derived that it is necessary to target the ability to create creative output by applying the functions of artificial intelligence. In addition to the pedagogical knowledge and the ability to use the platform, The teacher training is necessary because teachers need content knowledge such as problem-solving, reasoning, learning, perception, and some applied mathematics, cognitive / psychological / ethical of AI.