• Title/Summary/Keyword: 중등 수학

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Analysis of Recognition and Needs for Parents in Elementary, Middle, and High Schools for Mathematics Education (초·중등 학부모 대상 수학교과 인식 및 요구 조사)

  • Lee, Hyeung Ju;Kim, Hyeongsik;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.35 no.3
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    • pp.213-231
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    • 2021
  • This study is intended to investigate contents related to parents' perception and satisfaction level of school mathematics curriculum. Based on the results, this study intended to deduce implications for mathematics education in schools, child education, and parent education. According to the result of the survey, the more positively the parents perceived the value of the mathematics learning, the more positively the child perceived, and the higher the parent's participation rate in mathematics-related education was. In terms of perception of teaching and learning activities, it showed that the willingness to participate in educational programs was lower for the parents of middle and high school students than the parents of elementary school students and the parents of elementary school students also showed higher satisfaction level of school mathematics curriculum. parents have perceived the necessity of teaching and mathematics education to develop artificial intelligence or data analysis skills. It was also found that the parents of middle and high school students' participation experience in education had an effect on the satisfaction level of their children's math teacher's class preparedness. Parents perceived positively to how pragmatic mathematics curriculum can be and provided answers to what they wish in specific mathematics classes in learning methods and future mathematics learning. As this is for educational experts to consider much in-depth in the future, this study suggested the need for diverse parents' education related to mathematics including the expansion of mathematics education with parents' participation, the creation of a mathematics learning environment for future mathematics learning.

Development of a CAS-Based Virtual Learning System for Personalized Discrete Mathematics Learning (개인 적응형 이산 수학 학습을 위한 CAS 기반의 가상 학습 시스템 개발)

  • Jun, Young-Cook;Kang, Yun-Soo;Kim, Sun-Hong;Jung, In-Chul
    • Journal of the Korean School Mathematics Society
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    • v.13 no.1
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    • pp.125-141
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    • 2010
  • The aim of this paper is to develop a web-based Virtual Learning System for discrete mathematics learning using CAS (Computer Algebra System), The system contains a series of contents that are common between secondary und university curriculum in discrete mathematics such as sets, relations, matrices, graphs etc. We designed and developed web-based virtual learning contents contained in the proposed system based on Mathematia, webMathematica and phpMath taking advantages of rapid computation and visualization. The virtual learning system for discrete math provides movie lectures and 'practice mode' authored with phpMath in order to enhance conceptual understanding of each movie lesson. In particular, matrix learning is facilitated with conceptual diagram that provides interactive quizzes. Once the quiz results are submitted, Bayesian inference network diagnoses strong and weak parts of learning nodes for generating diagnostic reports to facilitate personalized learning. As part of formative evaluation, the overall responses were collected for future revision of the system with 10 university students.

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The Professional Development Training of Teachers for the Understanding and Applying of Socratic Method (산파법의 이해와 적용을 위한 교사 전문성 신장 연수)

  • Kim, Nam Hee
    • School Mathematics
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    • v.15 no.4
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    • pp.941-955
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    • 2013
  • In this study, we conducted mathematics teacher training courses for an applying of 'Socratic method' in school mathematics. Teacher training courses were conducted with a total of 3 hours for 68 secondary mathematics teachers. In these courses, we overviewed the characteristics of Socratic method. Moreover we examined the mathematics lessons by Socratic method. And we dealt with the educational examples of Socratic method identified in previous studies. In addition, the survey was conducted before and after the teacher training courses. Through the survey, teachers have an opportunity to check their knowledge on Socratic method and reflect on their mathematics class. Based on the survey response data, we analyzed mathematics teachers' knowledge on Socratic method and the changes in teachers' thinking on their mathematics class. Based on the findings of this study, we proposed three directions of teacher education.

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Many-sided Analysis on Korean Students' Affective Characteristics in Mathematical Learning (수학 학습에서 초.중.고 학생들의 정의적 특성에 대한 다각적 분석)

  • Kim, Sun Hee
    • School Mathematics
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    • v.15 no.1
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    • pp.61-75
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    • 2013
  • This study analyzed Korean students' affective characteristics in mathematical learning according to school and sex by Factor Analysis and Cognitive Diagnosis Theory. In numerical affective achievements by Factor Analysis, there are mean differences between schools, i.e. elementary school and secondary school. And there are sexual differences within schools and boys show more positive achievement than girls. By Cognitive Diagnosis Theory, I investigated 6 affective attributes' proportions that students achieved according to school and sex. Middle school students' proportion is highest in self-control and anxiety and the attribute that students achieved most in all school is cognizing mathematical value. Boys show higher proportion in self directivity, interest and confidence than girls, but girls show higher proportion in anxiety than boys. In personal profiles, the proportion of students who achieved 5 attributes except anxiety is highest.

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The Geometry Education of the Middle School Using the Activity Papers (활동지를 이용한 중학교 기하 영역의 효을적인 지도방안 연구 - 중학교 1학년 수학 교과를 중심으로 -)

  • Kim, Go-Rim;Kim, Hong-Chan
    • Journal of the Korean School Mathematics Society
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    • v.11 no.3
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    • pp.337-362
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    • 2008
  • Nowadays the education of Mathematics is more important than any other courses in the school. But the most students have felt the difficulty and uncomfortableness in studying Mathematics, especially the geometry course. Moreover teachers also consider that the teaching of geometry is the hardest part of Mathematics. Therefore we suggest an effective method of teaching the geometry course for the middle school students. We provide the activity papers which contain mathematics problems based on the practical life of students. And we analyze the effects of the activity papers using the questionnaire.

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An analysis of trends in argumentation research: A focus on international mathematics education journals (논증 연구의 동향 분석: 국외의 수학교육 학술지를 중심으로)

  • Jinam Hwang;Yujin Lee
    • The Mathematical Education
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    • v.63 no.1
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    • pp.105-122
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    • 2024
  • This study analyzed the research trends of 101 articles published in prominent international mathematics education journals over 24 years from 2000, when NCTM's recommendation emphasizing argumentation was released, until September 2023. We first examined the overall trend of argumentation research and then analyzed representative research topics. We found that students were the focus of the studies. However, several studies focused on teachers. More studies were examined in secondary school than in elementary school, and many were conducted in argumentation in classroom contexts. We also found that argumentation research is becoming increasingly popular in international journals. The representative research topics included 'teaching practice,' 'argumentation structure,' 'proof,' 'student understanding,' and 'student reasoning.' Based on our findings, we could categorize three perspectives on argumentation: formal, contextual, and purposeful. This paper concludes with implications on the meaning and role of argumentation in Korean mathematics education.

A study on categories of questions when holding counselling on learning math in regards to grounded theoretical approaches (근거이론적 접근에 따른 수학학습 상담 발문 유형에 대한 연구)

  • Ko, Ho Kyoung;Kim, Dong Won;Lee, Hwan Chul;Choi, Tae Young
    • Journal of the Korean School Mathematics Society
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    • v.17 no.1
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    • pp.73-92
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    • 2014
  • This study was performed in part with the task to find measures to improve the defining characteristics of feelings, value, interest, self-efficacy, and others aspects in regards to learning math among elementary and middle school students. For this study, it was essential to understand the appropriate questions that are needed to be asked during a consultation at a math clinic, for students that are having a hard time learning math. As a method for performing this study, the content of scheduled counseling over 2 years from a math clinic were collected and the questions that were given and taken were analyzed in order to figure out the types of questions needed in order to effectively examine students that are facing difficulty with learning math. The analysis was performed using Grounded theory analysis by Strauss & Corbin(1998) and went through the process of open coding, axial coding, and selective coding. For the paradigm in the categorical analysis stage, 'attitude towards learning math' was set as the casual condition, 'feelings towards learning math' was set as the contextual condition, 'confidence in one's ability to learn math' was set as the phenomenon, 'individual tendencies when learning math' was set as the intervening condition, 'self-management of learning math' was set as the action/interaction strategy, and 'method of learning' was set as the consequence. Through this, the questions that appeared during counseling were linked into categories and subcategories. Through this process, 81 concepts were deducted, which were grouped into 31 categories. I believe that this data can be used as grounded theory for standardization of consultation in clinics.

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Exploring the Application of Generalizability Theory to Mathematics Teacher Evaluation for Professional Development in Korea Based on the Analysis of Instructional Quality Assessment of Mathematics Teachers in the U.S. (미국 수학교사의 교수 질 평가도구 분석을 통한 우리나라 수학 교원능력개발평가에서의 일반화가능도 이론 활용성 탐색)

  • Kim, Sungyeun
    • Communications of Mathematical Education
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    • v.28 no.4
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    • pp.431-455
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    • 2014
  • The purpose of this study was to suggest methods to apply generalizability theory to mathematics teacher evaluation using classroom observations in Korea by analysing mathematics teachers in the U.S. using the instructional quality of assessment instrument as an illustrative example. The subjects were 96 teachers participating in Year 3 and Year 4 from the Middle-school Mathematics and the Institutional Setting of Teaching (MIST) project funded by the National Science Foundation since 2007. The MIST project investigates the following question: What does it takes to support mathematics teachers' development of ambitious and equitable instructional practices on a large scale (MIST, 2007). This study examined data based on both the univariate generalizability analysis using GENOVA program and the multivariate generalizability analysis using mGENOVA program. Specifically, this study determined the relative effects of each error source and investigated optimal measuring conditions to obtain the suitable generalizability coefficients. The methodology applied in this study can be utilized to find effective optimal measurement conditions for the mathematics teacher evaluation for professional development in Korea. Finally, this study discussed limitations of the results and suggested directions for future research.

Case Study on College Calculus Education for Vocational High School Graduates with Coding (직업계 고등학교 졸업생 대상 'Math & 코딩'을 활용한 대학 미분적분학 교육 사례 연구)

  • Lee, Jae Hwa;Lee, Sang-Gu;Ham, Yoonmee
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.611-626
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    • 2022
  • In this study, we introduced the case of college calculus course for vocational high school graduates with coding. We suggest this case as an alternative to overcome mathematics anxiety. Contents, python/SageMath codes, and textbook for this course, which help students to easily and quickly review middle and high school mathematics, were newly developed by authors. Due to the use of codes and chat with classmates in learning management system, most of the students who took this course reported that they no longer felt anxious in complex mathematics problems, had a full understanding of calculus concepts, could solve almost problems in any calculus textbooks with or without codes, and could explain calculus concepts to other students in their own words. In this way if mathematics and coding is properly used in mathematics education, it helps students with weak mathematical backgrounds or mathematics anxiety to restore confidence in mathematics in college. This could be applicable in secondary mathematics education.

A Study on the 7th National Curriculum Implementation at the Secondary School Level (제7차 수학과 교육과정 개발 과정 및 내용에 관한 분석 연구 -시${\cdot}$도 및 중등 단위학교를 중심으로-)

  • Cboe Seung-Hyun;Hwang Hye Jeang
    • The Mathematical Education
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    • v.44 no.4 s.111
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    • pp.477-496
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    • 2005
  • This study looked into the procedures of and the status on the implementation of the new 7th national curriculum at the secondary school level. It examined the processes taken by the local boards of education in due course of facilitating the schools with the new curriculum implementation. More specifically the study examined, 1) the degree to which the particular innovation(i.e., student-centered, flexible and autonomous school-based curriculum, etc.) is being implemented as planned; and 2) how it is being implemented. It conducted a situation-oriented analysis in cooperation with three local boards of education. Classroom observations, teacher interviews, questionnaires for teachers and supervisors were utilized and the three major criteria of interpreting the result were the three core concepts of the 7th national curriculum, that is, the degree of '(1)reorganization, (2)student-centeredness and (3)diversification/ specialization' of the curriculum. Detailed documentation on the processes of the local bureaus of education and on the classroom practices are made in order to provide schools and policy makers with relevant and practical suggestions for further improvement of curriculum implementation. Ultimately, The greater the awareness of the intention of the new curriculum on the part of both the staff at the local school boards and teachers, the greater the degree of implementation. And the higher the quality of planning to meet problems, the greater the degree of implementation. Continuous efforts are needed to involve teachers in the process of curriculum implementation. The greater the active support of the teachers, the greater the degree of implementation.

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