• Title/Summary/Keyword: 수업의 수학적 질

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A basic study on mathematics telelearning system (수학과 원격 수업 체제 기초 연구)

  • Kang Wan;Chang Kyung Yoon;Lew Hee Chan;Paik Seok Yoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.2 no.1
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    • pp.61-80
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    • 1998
  • Whereas research on telelearning in educational technology area is lively done, that in mathematics education area is not. Related to the open education, telelearning has 4 models: the distance classroom model, the front-end system design, the knowledge construction model, and the teaching model based on data. S/W, C/W, and H/W are the components of telelearning system. For an effective mathematics telelearning system, H/W and S/W which use multimedia with complex multimode information such as text, graphics, animation, video, and audio are necessary. Examples of telelearning systems on going are MIPOS, SDS telelearning system, telelearning system of the Naechon Elementary School, and Doorae Multimedia Application Development Platform.

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A Study on the Function Education of Middle School Using the Technical Instruments (중학교 1학년 함수지도에서의 공학적 도구 활용에 관한 연구)

  • Chu, Soon-Jong;Kim, Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.189-209
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    • 2009
  • One of the characteristics in math -abstract concept- makes the students find difficulties in understanding general ideas about math. This study is about how much do the modeling lessons using the technical instruments which is based on the realistic mathematical theory influence on understanding the mathematical concept. This study is based on one of the contents the first grade of middle school students study, the function, especially the meaning of it. Some brilliant students being the objects of this study, mathematically experimental modeling lesson was planned, conducted. Survey on the students' attitudes about math before and after the modeling classes and Questionnaire survey on the effectiveness about the modeling class were conducted and their attitudes were recorded also. This study tells that students show very meaningful changes before and after the modeling class and scientific knowledge seems to be very helpful for the students to understand the mathematical concept and solve the problems. When scientific research and development get together with mathematics, students will be more motivated and be able to form the right mathematical concept easily.

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Effectiveness of mathematics education through the process-oriented evaluation - Focusing on Geometry and vector subjects - (과정 중심 평가를 통한 수학교과 인성 함양 효과 - 기하와 벡터 과목을 중심으로 -)

  • Kim, Hyunjoo
    • Journal of the Korean School Mathematics Society
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    • v.22 no.4
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    • pp.369-393
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    • 2019
  • The purpose of this study is to find the commonality between process-focused assessment and existing performance evaluation and to find out whether the process-focused assessment is effective for the development of the character of school mathematics. By analyzing the previous research, this study defined the meaning of process-focused assessment as an evaluation that can improve students' growth and quality of class through immediate feedback by introducing various performance tasks and evaluation methods. The character of school mathematics refers to personality factors that are easily expressed and cultivated during math classes. Therefore, this study presented examples of the feasibility of process-focused assessment focusing on geometry and vector subjects and examined the effectiveness of mathematics and character development through process-based evaluation. Four course-based assessments (math experiments, logic, proof, and communication) aimed at cultivating the character of school mathematics were conducted from March to June 2019 for the third year of high school. The index was measured. Analysis of the results using the corresponding variable t-test showed that the process-based evaluation in this study had a significant effect on the character of school mathematics development.

Effects of Professional Development for Equity: Focusing on High School Students' Attitudes toward Mathematics (교육 형평성을 위한 고등학교 수학 교사 교육 시행 효과: 학생들의 수학 정의적 영역을 중심으로)

  • Kim, Yeon
    • School Mathematics
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    • v.19 no.4
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    • pp.751-774
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    • 2017
  • Having mathematics for everyone in terms of students' mathematics achievement and attitudes toward mathematics is challenging in high school in South Korea. To gain such purpose, teachers are supposed to have a considerable amount of knowledge and develop mathematical and pedagogical reasoning and insight because equity can be fulfilled in mathematics classroom when any student share their ideas and have mathematical discussions. As a part of a large project aimed to develop and enact professional development for equity and examine its effects and, finally, to propose the direction of professional development to help students cognitively and affectively balanced grow in mathematics, the current study briefly introduces how such professional development was designed and implemented. This study reports its effect based on the statistical analysis of students' responses for the three different surveys, which are parts of the National Assessment of Educational Achievement study, TIMSS Advanced, and the survey about classroom interaction. The data collected in all students in school whose three mathematics teachers had participated in the professional development for two years. The findings consistently indicate the strong and impressive growths in students' attitudes toward mathematics, which are statistically significant. Furthermore, their attitudes toward mathematics are also related to interactions in a mathematics classroom. Based on such results, this study claims expansion of professional development for equity.

산수과 학습 보조 자료의 효율적인 활용 방안

  • 정창현;양인환;양순렬;신성균
    • The Mathematical Education
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    • v.29 no.2
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    • pp.117-139
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    • 1990
  • 본 연구는 국민 학교 산수 익힘책의 효율적인 활용 방안을 찾는 데 목적이 있으며, 이를 위하여 선행 및 문헌 연구와 "산수 익힘책"의 활용 실태를 조사하였다. 본 연구에서 수행한 연구 내용을 요약하면 다음과 같다. 가. 이론적 배경 연구 및 산수 익힘책의 개발 방향 문헌과 선행 연구를 통하여 보조 교과서의 특성에 따를 활용 방안 및 보조 교과서의 학습 내용에 따른 틀용 방안을 이론적으로 고찰하였고, "산수 익힘책"의 개발 방향 및 그 특색에 대하여 조사하였다. 나. 활용 실태 조사 사용하고 있는 "산수 익힘책"의 활용 실태를 파악하여, 활용 방안을 마련하는 기선 자료를 수집하기 위함이며, 조사 내용은 다음과 같다. 1) 조사 내용 (1) 교사의 측면에서 ㆍ "산수 익힘책"의 도움 정도 ㆍ "산수 익힘책"의 수업 시간에의 활응 목적, 방법 ㆍ "산수 익힘책"의 활용시 편리성 ㆍ 흥미성 ㆍ 활용 시기 ㆍ 가정 학습으로 부과시의 목적 ㆍ 문제 풀이 결과 확인자 ㆍ 교육 과정 반영 정도 ㆍ 개선점 (2) 학부모의 측면에서 ㆍ"산수 익힘책"의 활용 목적 ㆍ "산수 익힘책"의 활용 정도 ㆍ "산수 익힘책"의 도움 정도 ㆍ 학부모의 역할 정도 ㆍ "산수 익힘책"에 대한 학생의 흥미도 ㆍ "산수 익힘책"의 개선점 2) 조사 도구 조사 내용에 대하여 국민 학교 1, 2, 3학년 담임 교사용과 학부모용의 질문지를 각각 작성하여 전문가의 검토를 거쳐 "산수 익힘책"의 활용에 관한 실태 조사지를 개발하였다. 이 때, 각 학년별 교사용끼리, 학부모용끼리의 질문지의 문항은 서로 같게 하였으며 교사용은 25문항, 학부모용은 16문항으로 구성하였다. 다. 활용 방안 구안 "산수 익힘책"의 개발 방향과 "산수 익힘책"의 활용 실태 조사에 기초하여 산수 익힘책의 효율적인 활용 방법을 수업 절차에 따라 구분하였다. 수업 절차는 여러 가지 형태가 있지만 본 연구에서는 KEDI의 수업 과정 일반 모형에 준하여 산수 익힘책의 활용 방법을 구안하였다. 라. 활용 방안을 구안하였다. 1) 적용 목적 구안된 "산수 익힘책"의 활용 방안의 현장 적용은 활용 방안의 질을 높이려는 대에 중요한 목적이 있다. 적용 결과는 현장 적용 가능성을 판단할 수 있는 입증 자료가 될 수 있을 뿐만 아니라, "산수 익힘책" 관심을 가지고 있는 교사나 연구자에게 학력 향상 가능성에 대한 경험적 근거를 제시함으로써 중요한 시사를 줄 수 있을 것이다. 2) 적용 결과 전체적으로 적응 수업이 실시된 지 3주후 부터는 활용 방안에 익숙해져 "산수 익힘책"을 효과적으로 활용할 수 있었다. 그 뿐만 아니라 자율학습시 학생들 스스로가 상호 확인을 하고, 서로 결손이 있는 부분을 가르쳐 주는 협동 학습이 이루어졌다.

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A study of the role of environmental influences in talent development of the Korean Math and Science Olympians. (국제과학올림피아드에 참가한 과학영재의 재능 발달에 끼친 촉진 요인과 방해요인에 관한 연구)

  • 윤여홍;김언주;문정화;김명환
    • Journal of Gifted/Talented Education
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    • v.11 no.3
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    • pp.245-270
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    • 2001
  • Math and Science Olympians participated in a study of the role of environmental influences in their talent development. The questions they got was about family and school factors contribute / or hinder to the development of their scientific talents, and the parents' child rearing styles. The questionnaires were originally developed by Campbell(1996) for cross-cultural studies. The major findings were as follows: ⑴ The professional job of the Olympians'father, the high SES, Their parents'discovering their child's talents were positive factors, ⑵ Their family support and learning environment were reported strong and positive, especially books and reading atmosphere, ⑶ The Olympians participated in the accelerated and enriched educational programs, ⑷ The quality of the class and the rigidity of the curriculum were hindering factors, ⑸ Their parents'rearing style were permissive, affective, and supportive.

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An Analysis of Preservice Teachers' Lesson Plays: How Do Preservice Teachers Give Feedbacks to Students in an Imaginary Classroom Discourse? (예비교사들은 학생의 대답에 어떻게 피드백 하는가? - Lesson Play의 분석 -)

  • Lee, Jihyu
    • School Mathematics
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    • v.19 no.1
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    • pp.19-41
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    • 2017
  • The purpose of this article was to a) identify how preservice teachers conceive feedbacks and subsequent classroom discourses, and b) compare them with those in reform-oriented mathematics classroom video for mathematics teachers' professional development about classroom discourse. This article analyzes feedback patterns and subsequent classroom discourses in preservice teachers' imaginary classroom scripts (lesson plays) and compares them with those in the reform-oriented classroom video dealing with the same teaching situation. Most of the preservice teachers' feedbacks focused the evaluation of students' responses and transmission of meaning (univocal function), whereas the teacher's feedback in the reform-oriented classroom allowed the whole class to validate or challenge the answers, thereby facilitating students' generation of meaning (dialogic function). The comparison analysis between the univocal discourse in a preservice teacher's lesson play and the dialogical discourse in the reform-oriented classroom video shows that teacher feedback serves as an important indicator for the main function of classroom discourse and the levels of students' cognitive participation, and also as a variable that determines and changes them. This case study suggests that to improve the quality of classroom discourse, preservice and in-service teachers need experience of perceiving the variety of feedback patterns available in specific teaching contexts and exploring ways to balance the univocal and dialogical functioning in their feedback move during the teacher training courses.

Impacting Student Confidence : The effects of using virtual manipulatives and increasing fraction understanding. (수학에 대한 자신감 증진: 가상학습교구를 통한 분수 개념 이해의 결과)

  • ;Jenifer Suh;Patricia S. Moyer
    • Journal of Educational Research in Mathematics
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    • v.14 no.2
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    • pp.207-219
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    • 2004
  • There have been studies reporting the increase in student confidence in mathematics when using technology. However, past studies indicating a positive correlation between technology and confidence in mathematics do not explain why they see this positive outcome. With increased availability and easy access to the Internet in schools and the development of free online virtual manipulatives, this research was interested in how the use of virtual manipulatives in mathematics can affect students confidence in their mathematical abilities. Our hypothesis was that the classes using virtual manipulatives which allows students to connecting dynamic visual image with abstract symbols will help students gain a deeper conceptual understanding of math concept thus increasing their confidence and ability in mathematics. The participants in this study were 46 fifth-grade students in three ability groups: one high, one middle and one low. During a two-week unit on fractions, students in three groups interacted with several virtual manipulative applets in a computer lab. Data sources in the project included a pre and posttest of students mathematics content knowledge, Confidence in Learning Mathematics Scale, field notes and student interviews, and classroom videotapes. Our aim was to find evidence for increased level of confidence in mathematics as students strengthened their understanding of fraction concepts. Results from the achievement score indicated an overall main effect showing significant improvement for all ability groups following the treatment and an increase in the confidence level from the preassessment of the Confidence in Learning Mathematics Scale in the middle and high ability groups. An interesting finding was that the confidence level for the low ability group students who had the highest confidence level in the beginning did not change much in the final confidence scale assessment. In the middle and high ability groups, the confidence level did increase according to the improvement of the contest posttest. Through interviews, students expressed how the virtual manipulatives assisted their understanding by verifying their answers as they worked and facilitated their ability to figure out math concept in their mind and visually.

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A Comparative Study of New Curriculum Between Korea and Japan in Elementary Mathematics (한ㆍ일간의 초등학교 수학과 새교육과정 비교연구)

  • Ha Tae-Sung
    • Journal of Elementary Mathematics Education in Korea
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    • v.5 no.1
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    • pp.37-53
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    • 2001
  • This paper tries to find out about organizational and managemental aspect of Korean curriculum through a comparison between Korea's 7th elementary mathematics curriculum and that of Japan's elementary mathematics curriculum, which will start in m2 through researching various literatures. The main characteristic of this elementary mathematics curriculum is that Korea has organized a teaming program that tended to individual differences, and focused on student-centered activities and communication based on constructivism. On the other hand, Japan reduced learning contents a lot by running 5-schooldays a week so that 80% of teaching time can be spent to help the students master mathematical contents of the textbook. This leaves 20% of teaching time to be used for improving mathematical thinking power as a foundation of creativity through mathematical activities. Korea's teaching time spent for elementary mathematics is about 80% of Japan's, which is also less than that of other country's. Less time in teaming mathematics will lead to decrease in teaming ability. Therefore, there is a need for increased teaching time in mathematics. Korea's revision of curriculum is about 5 years which is often compared to that of Japan's 10 years. Frequent revising is good in that it reflects the social demand, but it can cause much confusion and problems in accepting and applying its program in a real classroom setting, which is why it needs to be looked at again. The direction, objective and assesment of revision fits the demands of international trends and essentials of mathematics. Japan puts its emphasis on learning through repetition and Korea puts its emphasis on problem solving and communication. Regarding assesment, both Korea and Japan is looking for ways to find various assessing ways which will focus on mathematical process rather than the mathematical results, and also will put emphasis on criterion-directed assesment to measure goal achievements. However Japan emphasize on using report cards of assesment to help mathematics learning.

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A study on the expansion of educational environment and students' competence through smart learning in the tertiary mathematics education (고등 수학교육에서 스마트러닝을 통한 교육환경 및 학습자 역량의 확장)

  • Hong, Ye-Yoon;Im, Yeon-Wook
    • Journal of Digital Convergence
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    • v.16 no.7
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    • pp.213-222
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    • 2018
  • The purpose of the study is to promote the expansion of educational environment and students' competence through the application of smart learning. In G University in 2017, 118 freshmen in the department of Chemical-bio engineering who were taking Calculus I class were divided into 2 groups of experimental and control group. The study analyzed the effect of the various learning experience using educational technology and the interaction in the class through SNS on students' visual understanding and academic achievement. The result shows that the students' academic achievement and satisfaction in the experimental group were higher than those in the control group. This verifies the potential of smart learning in the field of mathematics in the tertiary level and suggests strategies for high quality smart learning.