• 제목/요약/키워드: mathematics instruction and learning

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협력학습을 통한 수학 학습부진아 지도 (An Instruction of the Underachieved Students Based on Cooperative Learning)

  • 홍진곤;조승래
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권3호
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    • pp.327-335
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    • 2003
  • This study analyzes the effectiveness of cooperative learning in the instruction of the underachieved students. The result of this study showed that students who participated in the cooperative teaming tended to exert positive effects on the cognitive and affective(interest, self-confidence, motivation) domains. In the cooperative teaming, the underachieved students were encouraged in mathematics teaming and improved the efficiency of loaming in mathematics.

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협동학습 전략의 교수효과: 고등학교 화학 수업에 STAD 모델의 적용 (The Instructional Influences of Cooperative Learning Strategies: Applying the STAD Model to High School Chemistry Course)

  • 노태희;차정호;임희준;노석구;권은주
    • 한국과학교육학회지
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    • 제17권3호
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    • pp.251-260
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    • 1997
  • The instructional influences of cooperative learning strategies, which emphasize mutual interdependency of learners, group goal, and individual accountability, upon students' achievement, the attitude toward science instruction and the perception of learning environment were investigated. Before instruction, the prior knowledge test about atoms and molecules, the test of attitudes toward science instruction, and the perception questionnaire of learning environment were administered, and the grade in the previous mathematics course was obtained. These scores were used as covariates. Mid-term examination score was used as blocking variable. For instruction, three different strategies-traditional individual learning, small group learning, and cooperative learning-were used and teaching materials for the units of mole and stoichiometry were also prepared. After instruction, the researcher-made achievement test, the test of attitudes toward science instruction, and the perception questionnaire of learning environment were administered. The perception questionnaire of group activities was also administered to the two treatment groups. In the quantitative subtest, the scores of cooperative learning group and small group learning group were significantly higher than those of traditional individual learning group. However, the cooperative learning group's scores in the achievement test and the qualitative subtest were significantly higher than those of small group learning group and traditional individual learning group. The students in the cooperative learning group were found to have the most positive perception of learning environment but to have similar attitudes toward science instruction. No interaction between the treatment and the level of the previous achievement was found in any of the analyses. In the perception questionnaire of group activities, students in both small group learning group and cooperative learning group exhibited positive perception of group activities. However, students in the cooperative learning group tended to think that their activities were related with their group's success. Educational implications are discussed.

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한국 학생들의 수학과 수학 학습에 대한 가치 인식: 초등학교 6학년과 중학교 3학년을 중심으로 (An Investigation of What Korean Students Valued with regards to Mathematics and Mathematics Learning: A Study with Sixth and Ninth Graders)

  • 방정숙;조수윤
    • 한국수학교육학회지시리즈A:수학교육
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    • 제55권4호
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    • pp.467-484
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    • 2016
  • What an individual values and regards as important has a significant impact on his or her learning. Classroom instruction would be even more effective if what the teacher regards as important in his or her pedagogical practice are aligned with what students regard as important too. Given this background, this study sought to find out what Korean students valued about mathematics and mathematics learning using a questionnaire developed by Seah (2005). The participants were 409 students from Grade 6 and 407 students from Grade 9 in Korea. The results of this study showed that students put the biggest emphasis on ideological aspects of mathematics, specifically rationalism, among mathematical values. The students also valued product, computation, process, exposition, and recalling among values related to the learning of mathematics. A comparative analysis between the two groups of students showed that sixth graders tended to think more positively with regards to each value than ninth graders. On the basis of these results, this paper raises some issues about students' values in mathematics learning. It also suggests that teachers need to consider what students value and regard as important in their mathematics learning to bring about even more effective instruction.

국가 수준에 준하는 수학과 수준별 교수.학습 자료의 개발 및 활용 (Development and its Application on Teaching and Learning Materials for Differentiated Instruction in Secondary School Mathematics)

  • 황혜정
    • 한국학교수학회논문집
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    • 제9권3호
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    • pp.317-345
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    • 2006
  • 수준별 수업의 운영이라는 당면 과제에 직면하여 어려움을 겪고 있는 학교 현장의 시급하면서도 절박한 요구를 충족시키기 위한 노력의 일환으로 교육인적자원부에서는 2004년부터 현재(2006년 9월)에 이르기까지 수준별 수업 운영의 실제적, 실천적 도움을 주기 위한 수준별 교수-학습 자료의 개발을 추진해 왔으며, 현재에는 이 수준별 자료에 대한 보조 자료가 개발 중에 있다. 이 자료는 교실 수업에서 학생들의 각 학업 성취 수준에 따라 다르게 요구되는 다양한 활동 및 차별화된 내용 전개 방식 등을 감안하여 개발된 수준별 교수-학습 자료이다. 본고에서는 수학 교육 관련 전문가를 독자로 삼고 있는 본 학회를 통해 이 자료의 개발 취지 및 방향, 그리고 본 자료 내용을 일부 소개하고, 이의 활용 방법을 알리고자 함이다. 그럼으로써, 이 자료의 적극적 활용은 물론 새로운 자료의 개발 등과 같은 실천적 노력을 통하여 수준별 수업이 보다 성공적으로 정착되고 교실 수업이 개선되기를 기대하는 바이다.

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수학 교육에 활용할 옛 문제 연구

  • 허민
    • 한국수학사학회지
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    • 제13권1호
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    • pp.33-48
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    • 2000
  • In this paper we collect the mathematical problems from the past which can be used in classroom instruction. These problems can show the cultural value and the utility of mathematics, and encourage learning and illuminate the concept being taught.

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Mathematics Teachers' Understanding of Students' Mathematical Comprehension through CGI and DMI

  • Lee, Kwang-Ho
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제11권2호
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    • pp.127-141
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    • 2007
  • This paper compares and analyzes mathematics teachers' understanding of students' mathematical comprehension after experiences with the Cognitively Guided Instruction (CGI) or the Development of Mathematical Ideas (DMI) teaching strategies. This report sheds light on current issues confronted by the educational system in the context of mathematics teaching and learning. In particular, the declining rate of mathematical literacy among adolescents is discussed. Moreover, examples of CGI and DMI teaching strategies are presented to focus on the impact of these teaching styles on student-centered instruction, teachers' belief, and students' mathematical achievement, conceptual understanding and word problem solving skills. Hence, with a gradual enhancement of reformed ways of teaching mathematics in schools and the reported increase in student achievement as a result of professional development with new teaching strategies, teacher professional development programs that emphasize teachers' understanding of students' mathematical comprehension is needed rather than the currently dominant traditional pedagogy of direct instruction with a focus on teaching problem solving strategies.

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교사, 수업 변인과 학생 성취도의 상관관계 - TIMSS-1999 결과 분석 - (The Relationship between Teacher, Instruction Variables and Students - Achievement based on TIMSS-1999 -)

  • 한경해
    • 한국수학교육학회지시리즈A:수학교육
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    • 제44권3호
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    • pp.409-433
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    • 2005
  • This article is to provide information on school contexts for learning and instruction of mathematics based on the results and data of TIMSS 1999. It is organized around two major topics: teacher and students achievement, instruction and students achievement In this article the following summarizes the major findings. First, about $50\%$ of Korean eight-grade students were taught mathematics by teachers in their 30s, and this was higher than the international average. Most of teachers in Korea had certification of teachers majors in mathematics. Korean teachers reported relatively low confidence to teach mathematics compared to other counties. And Korean students taught by teachers who believes they were well prepared attained low achievement scores in contrast to international result. Second, korean teachers spent about $50\%$ of their formally scheduled school time teaching their subject, but is was below the international average. They spent much more time on administrative duties and other related activities than other countries. Korean students reported that most of their class time were spent lecture style presentations by teacher. Also they reported that teachers showed them how to do mathematics. The percentages of Korean students were placed on the low level of index of emphasis on mathematics reasoning and problem-solving. The students taught by teachers who emphasized reasoning and problem-solving showed low achievement scores in contrast with result of the previous literatures. Korean teachers didn't seem to emphasize homework and assessments. Internationally, teachers frequently used teacher-made objective tests and projects or practical exercises, but Korean teachers die less in most of categories. Based on the above findings, this article presents implications about teacher education, reduction of administrative working in teachers tasks, using everyday life topics, as learning materials, specialization instruction methods for each subject matter. This article is a kind of descriptive and factual in nature, but some attempt has been made to contextualize these results focused on teachers and instruction.

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"열린" 수학교육과 "열린수학"의 교육 ("Open" Matehmatics Education and Education of "Open Mathematics")

  • 이경화
    • 대한수학교육학회지:수학교육학연구
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    • 제8권2호
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    • pp.425-437
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    • 1998
  • The difference between "open" mathematics education and education of "open mathematics" arises from the difference of tearcher's understanding on the meaning of "teaching and learning mathematics" in the paper. Discusses the agreements and the worries of the researchers, the teachers, the students in korea, about open educationism, firstly, Three practical cases in mathematics lesson in korea are reviewed and analyzed in the respect of learning principles, secondly. Thirdly, the paper examines how to be modified two main learning principles, individualised learning and self-regulation of learning by teachers in the process of instruction. Finally, open mathematics advocated by Fisher(1984) and closed mathematics are compared especially in the probability unit. It concludes that the open approaches in mathematics lessons in korea need to improve with respect to teacher's attitude for didactic contents or mathematical knowledge. It is argued that teacher's open or flexible understanding of mathematical knowledge is no less important than that of their pupils.ant than that of their pupils.

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고등학교 수학과 교육을 위한 CAI 프로그램 개발 연구 - 정적분을 중심으로 - (A Study on the Development of Computer Assisted Instruction for the High School Mathematics Education)

  • 이덕호;김왕식
    • 한국학교수학회논문집
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    • 제2권1호
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    • pp.55-66
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    • 1999
  • In mathematics education, teaching-learning activity can be divided largely into the understanding the mathematical concepts, derivation of principles and laws acquirement of the mathematical abilities. We utilize various media, teaching tools, audio-visual materials, manufacturing materials for understanding mathematical concepts. But sometimes we cannot define or explain correctly the concepts as well as the derivation of principles and laws by these materials. In order to solve the problem we can use the computer. In this paper, ′the process of the length of curve being equal to the sum of the vectors when intervals get smaller′ and ′the process of calculating volume of spinning curve by using definite integral.′ Using the computers is more visible than other educational instruments like blackboards, O.H.Ps., etc. Also it can help students with solving mathematical problems intuitively. Consequently more effective teaching-learning activity can be done. Usage of computers is the best method for improving the mathematical abilities because computers have functions of the immediate reaction, operation, reference and deduction. One of the important characters of mathematics is accuracy, so we use computers for improving mathematical abilities. This paper is about the program focused on the part of "the application of definite integral", which exists in mathematical curriculum the second and third grade of high school. When this study is used for students as assisting materials, it is expected the following educational effect. 1. Students will have precise concepts because they can understand what they learn intuitively. 2. Students will have positive thought by arousing interests of learning because this program is composed of pictures, animations with effectiveness of sound. 3. It is possible to change the teacher-centered instruction into the student-centered instruction. 4. Students will understand the relation between velocity and distance correctly because they can see the process of getting the length of curve by vector through the monitor. For the purpose of increasing the efficiencies and qualities of mathematics education, we have to seek the various learning-teaching methods. But considering that no computer can replace the teacher′s role, teachers have to use the CIA program carefully.

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비계설정을 통한 수학 교수-학습에 대한 연구 (On an Analysis of Mathematics Instruction by Scaffolding)

  • 최순옥;정여옥
    • 대한수학교육학회지:수학교육학연구
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    • 제15권1호
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    • pp.57-74
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    • 2005
  • 본 연구는 최근 여러 분야에서 관심이 되고 있는 Vygotsky의 근접발달영역 이론에 기초한 비계설정을 통한 수학 교수-학습 지도의 효과를 살펴보는 데 그 목적이 있다. 이러한 목적을 달성하기 위하여 Vygotsky의 근접발달영역 이론과 이를 근거로 학생들의 발달을 촉진하기 위한 비계설정 이론을 고찰하여 비계설정을 통한 수학 교수-학습과정을 개발한 후에, 이러한 과정에 따라 초등학교 5학년 학생들을 대상으로 분수 내용을 지도한 후에 수업 과정을 분석하고, 학생들의 수학 학습 능력과 수학적 태도에 미치는 영향을 분석하였다. 그 결과 교사에 의한 비계설정은 학습 효과를 높일 뿐만 아니라 학생과 학생 사이의 비계설정으로 전이되며, 학생들의 수학 학습 능력을 향상시키는 데 효과적이며, 수학적 태도를 긍정적으로 변화 시킴을 알 수 있었다.

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