• Title/Summary/Keyword: Mathematics Teaching and Learning Program

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The Case Study of Using Technology in Education of Pre-service Mathematics Teachers. - Developing Materials Assisting Teaching-Learning for 7th-9th Grade Mathematics Classroom - (예비수학교사교육에서의 공학적 도구 활용 사례연구 - 7${\~}$9단계 수학수업과 연계된 교수$\cdot$학습보조자료 개발을 중심으로 -)

  • Kim, Nam-Hee
    • School Mathematics
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    • v.7 no.4
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    • pp.337-352
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    • 2005
  • In this study, we carried out a case study with 38 pre-service mathematics teachers. A theoretical basis of this study is the 'technology principle' by NCTM(2000) and teaching-learning methods by the 7th curriculum. Using mathematics program(Grafeq.), we executed classroom activities for developing materials assisting teaching-teaming for 7th-9th grade mathematics. Pre-service mathematics teachers constructed mathematical designs for each grade by Grafeq. program. We tried to find the results for three research problems. On the basis of observation data, interview data and document materials, we analysed our results as follows. First, our activities help Pre-service mathematics teachers to examine and understand each grade mathematics. Second, we can developamathematicaldesignineachgrade mathematics. Therefore mathematical designs developed in this study can be used middle school mathematics classroom. Third, pre-service mathematics teachers gained the belief that the activities using mathematical in this study can be applied program. effectively to teaching and loaming school mathematics.

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

  • 이덕호;김왕식
    • Journal of the Korean School Mathematics Society
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    • v.2 no.1
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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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Redesigning of STEAM Learning/Teaching Program for Robot (로봇 STEAM 교수학습 프로그램 제안)

  • Park, HyunJu;Baek, Yoon Su
    • Journal of Engineering Education Research
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    • v.18 no.6
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    • pp.3-10
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    • 2015
  • The purpose of this study was to analyze STEAM learning/teaching program that relates robots and to develop and redesign STEAM teaching/learning program with a robot for elementary and secondary schools. 'Learning with a robot' is considered as one of the best candidates for STEAM education. This article mainly concerns a robot that can be helpful to improve students' interests in learning science and mathematics in schools. As the results of the STEAM learning/teaching program analyzing, the program for elementary schools contained more contents of liberal arts and fine arts, and the program for secondary schools contained more contents of science, technology, and math. In the middle school program, context for learning, class activities of creative design and emotional touch, evaluation, and job and career information were evenly implemented. In the elementary and high school program, there were few information about robotics career. We extracted all robot utilizable subjects and units from school curriculums, and redesigned contents which can be applicable to regular classes for schools. As the result of this study, we conclude that 'learning with a robot' can encourage students' interests in STEM area.

Sociocultural perspectives on mathematics learning using computer (컴퓨터를 활용한 수학학습에 대한 사회문화적 관점)

  • 박성선
    • Education of Primary School Mathematics
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    • v.5 no.1
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    • pp.13-20
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    • 2001
  • Interaction through communication plays critical role in the mathematics learning in the sociocultural perspectives. The communication make the students construct shared knowledge, and also plays a role of mediation in making meaning. So, we have to consider sociocultural eprspectives in design of the mathematics leaning using computer. While Computer Assisted Instruction was the one-directional teaching program which proceed from computer to students, mathematics leaning using computer in the sociocultural perspectives have to consider two-directional instruction that proceed from computer to students as well as from students to computer. This interactional activity is the critical thing in the mathematics learning using computer.

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Mathematics teachers' knowledge and belief on the high school probability and statistics (수학교사의 확률과 통계에 대한 지식과 신념)

  • Kim, Won-Kyung;Moon, So-Young;Byun, Ji-Young
    • The Mathematical Education
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    • v.45 no.4 s.115
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    • pp.381-406
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    • 2006
  • This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

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A Study on Mathematics Pre-service Teachers' Teaching Behaviors and Changes in Microteaching (마이크로티칭에서 수학 예비교사들의 수업 행동과 변화에 대한 연구)

  • Shim, Sang-Kil;Yun, Hye-Soon
    • The Mathematical Education
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    • v.51 no.2
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    • pp.131-144
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    • 2012
  • The purpose of this study is to investigate the change of mathematics pre-service teachers' teaching behaviors in microteaching. This study is organized along the following lines: 1) mathematics pre-service teachers conduct twice microteachings, 2) the microteaching recordings and lesson observation reports written by pre-service teachers are analyzed. Through reviewing the first microteaching, pre-service teacher have reviewed and found out improvements of their teaching. In the second microteaching, pre-service teachers' teaching behaviors have been positively and effectively changed with respect to teaching methods, proposal of learning objectives, prior knowledge usage, presenting lesson's content, concise descriptions, brief language usages, multimedia, and appropriate questions. However, they frequently used inappropriate expressions from their unconscious habits. Therefore, the educational institutions should provide opportunities involved in well-structured microteaching training program with pre-service teachers, which in turn, help pre-service teachers to have more positive teaching competence.

A study on application of Vygotsky's theory in mathematics education (비고츠키 이론의 수학교육적 적용에 관한 연구)

  • 조윤동;박배훈
    • Journal of Educational Research in Mathematics
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    • v.12 no.4
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    • pp.473-491
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    • 2002
  • This article analyzes mathematics education from dialectical materialism acknowledging the objectivity of knowledge. The thesis that knowledge is objective advances to the recognition that knowledge will be internalized, and an idea of zone of proximal development(ZPD) is established as a practice program of internalization. The lower side of ZPD, i.e. the early stage of internalization takes imitation in a large portion. And in the process of internalization the mediational means play an important role. Hereupon the role of mathematics teacher, the object of imitation, stands out significantly. In this article, treating the contents of study as follows, I make manifest that teaching and learning in mathematics classroom are united dialectically: I hope to findout the method of teaching-learning to mathematical knowledge from the point of view that mathematical knowledge is objective; I look into how analysis into units, as the analytical method of Vygotsky, has been developed from the side of mathematical teaching-learning; I discuss the significance of mediational means to play a key role in attaining the internalization in connection with ZPD and re-illuminate imitation. Based on them, I propose how the role of mathematics teachers, and the principle of organization to mathematics textbook should be.

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The Effect of the Problem-Based Learning for Training 'Classroom Friendly Teachers' - Focusing on the Elementary School Mathematics Education ('교실친화적 교사' 양성을 위한 문제중심학습 적용 효과 - 초등수학교육을 중심으로)

  • Lee, Kwang-Ho
    • School Mathematics
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    • v.13 no.4
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    • pp.543-562
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    • 2011
  • In this research, the PBL program was developed in terms of 'classroom practice ability', 'self-develop ability', and 'teaching profession character' which classroom friendly teachers get ready and was applied to the classroom friendly elementary mathematics teachers for studying the effectiveness of the program. From the result elementary preservice teachers' disposition in terms of thought about mathematics, mathematics learning, and mathematics teaching was changed to the positive direction through the PBL. They could developed their classroom practice ability, self-develop ability, and teaching profession character through application of new knowledge and plan for problem solving and reflection after solving the problems.

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Teaching Mathematics Based on Children's Cognition: Introduction to Cognitively Guided Instruction in U.S. (아동들의 인지를 바탕으로 한 수학 교수: 미국의 Cognitively Guided Instruction의 소개)

  • Baek Jae Meen
    • Journal of Educational Research in Mathematics
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    • v.14 no.4
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    • pp.421-434
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    • 2004
  • Cognitively Guided Instruction (CGI) is one of the most successful professional development programs for elementary mathematics teachers in US. This article introduces its theoretical background, research-based framework of addition and subtraction work, and how the program has been disseminated. Carpenter and Fennema started CGI aiming to develop a professional development program that focused on research knowledge of children"s thinking. Their goal was. to bring a significant change in teaching by helping teachers understand how children think mathematically. This 3-year NSF funded project grew to be 11-year long, and a number of publications have reported consistent successful learning and teaching by CGI students and teachers compared to counterparts throughout US. CGI′s success by focusing on improving teachers′ knowledge of children′s thinking offers possible opportunities for teacher educators to re-conceptualize teacher education in Korea.

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Teachers' Research Experiences in Labs and Fields

  • Shin, Myeong-Kyeong
    • Journal of the Korean earth science society
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    • v.27 no.7
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    • pp.715-722
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    • 2006
  • This study intended to find evidence of changes in teacher beliefs of teaching and learning and a case of infusing research experiences in teaching modules since their research participation. As part of this study, twenty three science and math teachers in Korea were provided with science research labs and field experiences in the University of Iowa for three weeks. The research units that teachers participated in for three weeks covered seven fields of subjects such as: geology, astronomy, chemistry, physics, mathematics, computer science, and environmental engineering. In the course of this study, the effectiveness of science research participation program was explored in terms of changing teacher beliefs and their production of teaching modules based on their research. This study especially focused on identifying changes of beliefs on science teaching and learning after participating in the research. A case study of a participant teacher was also conducted by comparing descriptively teaching modules before and after experiencing the program. It was found that the program affected the new modules and the research experiences affected participants' beliefs toward student centeredness.