• Title/Summary/Keyword: Mathematics Activities

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A Study on the Teaching Strategies of Mathematical Principles and Rules by the Inductive Reasoning (귀납 추론을 통한 수학적 원리.법칙 지도 방안에 관한 고찰)

  • Nam, Seung-In
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.3
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    • pp.641-654
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    • 2011
  • In order to grow students' rational and creative problem-solving ability which is one of the primary goals in mathematics education. students' proper understanding of mathematical concepts, principles, and rules must be backed up as its foundational basis. For the relevant teaching strategies. National Mathematics Curriculum advises that students should be allowed to discover and justify the concepts, principles, and rules by themselves not only through the concrete hands-on activities but also through inquiry-based activities based on the learning topics experienced from the diverse phenomena in their surroundings. Hereby, this paper, firstly, looks into both the meaning and the inductive reasoning process of mathematical principles and rules, secondly, suggest "learning through discovery teaching method" for the proper teaching of the mathematical principles and rules recommended by the National Curriculum, and, thirdly, examines the possible discovery-led teaching strategies using inductive methods with the related matters to be attended to.

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Analysis of Pre-Service Mathematics Teachers' Experience on Design Thinking based Teaching Practicum (예비수학교사들의 디자인 사고(Design Thinking) 기반 교육실습 활동 경험 분석)

  • Lee, Jiyon;Kim, Hoonjoo
    • Communications of Mathematical Education
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    • v.34 no.3
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    • pp.235-256
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    • 2020
  • The purpose of this study was to investigate the experience of pre-service mathematics teachers who attended at a university course combined with teaching practicum based on design thinking process to identify the change of their awareness of its activities. For the research, 8 pre-service mathematics teachers participated in a mathematics major course, consisting of 5 phases of design thinking formed by Stanford d.school. In the end of the course, qualitative data were collected through individual and focus group interviews and the course activities. By data analysis, the results of this study were as follows. Firstly, the participants' perspectives of design thinking activities were changed from the difficulty and ambiguity of its activity in the beginning of the process to positiveness with competence of solving authentic problem in terms of teaching practicum over time. Secondly, the participating pre-service teachers emphasized that design thinking activities helped them prepare well teaching practicum and raise understanding of students they met in the school fields. Thirdly, some research participants went through the difficulty in utilizing their products drawn from 4th phase (prototyping) of design thinking process depending on the acceptance of their guidance teachers. Fourthly, the research participants also pointed out that the design thinking was a significant activity in that they learned how to understand and communicate with their students and how to collaborate with team members and it gave an insight about the preparation for a class. Through these results, this study identified the possibility of using the design thinking process for pre-service mathematics teachers' teaching practicum. In addition, the research put forward some implications for better use of design thinking in teacher education.

The Effects of Using Learning-Notebook on Mathematics Learning Achievements, Mathematical Attitude and Reactions (수학 노트를 활용한 학습활동이 수학 학업 성취도, 수학적 태도 및 반응에 미치는 영향)

  • Kim, Gyeong-Mi;Park, Jong-Seo
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.441-463
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    • 2010
  • This study purposes to examine the learning achievements, attitude and reactions of elementary school students in fifth grade in mathematics after inducing to use of learning-notebook on mathematics. To achieve the purpose, this study focuses on the following matters. First, we develop the ways to write thoughts and activities in solving problems on learning-notebook for elementary school student in fifth grade. Second, we analyze the effects of the students' learning achievements after applying the ways to them in every mathematics learning activities at home and in school, etc. Third, this study examine the attitudes and reactions of the students toward mathematics after observing the learning activities and interviewing them. The results are summarized as follows. First, using learning-notebook helps to improve the performance of students. The average point of the final examination went up to 90.67 while the average of the first level test was 70.75. And almost each student's result have improved. Second, the interviews with the students show that they feel sense of accomplishment, their mathematical attitude has changed to be positive, and they've actively participated in class by using the learning-notebook. The students felt confidence and achievement and they were more interested in studying mathematics when they use the learning-notebook. Further, the students used the notes in doing their homework and at home studying. Finally, the learning-notebook had a good influence on the relationships between students and teachers. Moreover, learning-notebook serves as a medium that connects teacher and student's work.

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Research about the achievement progress for the low level students through 4 step group work in Mathematics (4단계 team학습을 통한 수학과 학습 부진학생의 학력신장에 대한 연구)

  • 김종훈
    • Journal of the Korean School Mathematics Society
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    • v.5 no.1
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    • pp.21-32
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    • 2002
  • The purpose of this research is to invent the method which improve the problem - solution power in mathematics, making learning materials for it and apply it to the inactive 1st grade high school students. The results of this reaserch are as follows. 1. Through this 4 phased team teaching, the atmosphere of learning is positive and learning activities are voluntary and the attitude to the mathematics is improved. 2. The harmony of team studying for a problem solution, problem understanding, flowchart drawing and mind map studying enabled students to have confidence of learning, leading to improve the ability of mathematics.

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Portfolio Assessment as a Policy for Innovating Mathematics Classrooms

  • Kim, Soo-Hwan
    • Research in Mathematical Education
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    • v.1 no.1
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    • pp.23-34
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    • 1997
  • For the balanced realization of these values of mathematical culture, we need to innovate mathematics classrooms, for which we need to make use of portfolio assessment. First, portfolio assessment can be regarded as a method of synthesizing a variety of resources for systematic evaluation. Second, portfolio assessment can be used as a tool of building up learners' positive attitude toward mathematics, by which we can identify the latent possibility of learners' development and help them develop confidence in mathematics. Third, portfolio assessment can play an important role as a tool for exploring the method of teaching and learning in which learners recognize the value of mathematics and are interested in mathematical activities, as we have seen in the report on the Gulliver's Travels Project.

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A Study on the Mathematics Textbook Considered Student's Individual Difference -Laying Stress on the Gusev's Experimental Textbook- (학습자의 개인차를 고려한 수학교과서에 관한 연구 -구세프의 실험 교과서를 중심으로-)

  • 한인기
    • Journal of the Korean School Mathematics Society
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    • v.7 no.1
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    • pp.37-48
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    • 2004
  • In this article we study on a mathematics(geometry) textbook which is written for the purpose of considering student's individual difference by famous russian author V. A. Gusev. We analyze text and exercise of the experimental textbook, form and extract some didactical ideas that help us to design individualized mathematics classroom activities with students.

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Development of a Teaching/Learning Model for the Mathematical Enculturation of Elementary and Secondary School Students

  • Kim, Soo-Hwan;Lee, Bu-Young;Park, Bae-Hun
    • Research in Mathematical Education
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    • v.1 no.2
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    • pp.107-116
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    • 1997
  • The purpose of this study is to develop a teaching/learning model for the mathematical enculturation of elementary and secondary school students. It is clear that the development of teaching and learning in the classroom is essential for the realization of global innovations in mathematics education. Research questions for this purpose are as follow: (1) What can be learned from literatures reviews of the socio-cultural perspective on mathematics education, and of ethnomathematics as a mathematics intrinsic to cultural activities? (2) What is the direction of teaching and learning from the perspective of mathematical enculturation? (3) What is the teaching /learning model for mathematical enculturation? (4) What is the instructional exemplification based on the developed model? This study promotes the establishment of mathematics education theory from the review of literatures on the socio-cultural perspective, the development of a teaching/learning model, and the instructional exemplification based on the developed model.

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An Investigation on the Teaching Activities of Guidance Teachers in Planning a Mathematics Lesson in Teaching Practicum by Student Teachers (수학 수업 준비과정에서 실습 지도교사의 지도 활동 고찰)

  • Kwon, Sung-Yong
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.2
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    • pp.333-359
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    • 2011
  • The purpose of this study was to investigate the teaching activities of guidance teachers in student teachers' planning mathematics lesson and the role of guidance teachers in teaching practicum. To fulfill the purpose, 54 student teachers participated in teaching practicum in G university of education located in G city were selected as subjects and gathered data by asking student teachers to record the interaction process with guidance teachers in detail. By analyzing the teaching activities, the conclusions were drawn as follows: First, guidance teachers' teaching activities in student teachers' planning a lesson were focused on the strategies of teaching and organizing activities according to the ability level of students in the classroom. Second, four types of guidance teachers were identified by analyzing teaching activities as noninterference, supervision, guidance, cooperation. Most of guidance teachers can be indexed as guidance. Third, more effective teaching practicum, guidance teachers need to understand the role of guidance teacher in teaching practicum and systemic program for teaching practicum should be developed.

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An Analysis on Lessons and Actual Teaching of 'Game Activities' in Elementary Mathematics Textbooks (수학 교과서의 '재미있는 놀이' 차시의 내용 및 지도 실태 분석)

  • Yoon, Su-Ryoun;Kang, Wan;Paik, Seok-Yoon
    • Education of Primary School Mathematics
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    • v.12 no.1
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    • pp.39-55
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    • 2009
  • For this study, the 'Game Activities' lessons presented in the math textbooks from the 1st grade to the 6th were examined in terms of learning materials, the learning members' make-up, the playing structures, and the relation with the contents. In addition, the survey by means of questionnaires was conducted to analyze the actual condition of teachers' guidance in the field. The findings from this research were as follows: First, as for the activities presented in the textbooks, it turned out that too much emphasis is placed upon plays mainly using learning materials such as cards and dice played by teams of two. In addition, there have been shown negative aspects in various ways of plays putting too much emphasis on certain types of plays such as and structures. As for the relation with the contents, although lots of efforts were taken to connect the playing activity to the lesson contents, there were units presenting plays based on the preceding lesson's repeated activity, ones that have weak link with the contents. Second, it turned out that the teachers had negative attitude on the guidance using the 'Game Activities' lesson, although they were aware of the effects of playing in math learning. This seemed to result from the delicate variety and insufficient preparation for the play. Besides, the findings indicate that the appreciation and activity of the 'Game Activities' lesson presented as a way of performance evaluation. for play need to be provided in school or classrooms for teachers and students to make good use of them.

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The Effects of Mathematical Activities using 4D-Frame on Young Children's Mathematical Ability and Attitude towards Mathematics (포디프레임(4D-Frame)을 활용한 수학활동이 유아의 수학적 능력과 수학적 태도에 미치는 영향)

  • Yang, Hyo-Sook;Park, Young-Suk;Cho, Kwang-Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.8
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    • pp.146-159
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    • 2018
  • The purpose of this study was to investigate the effects of Mathematical Activities using 4D-frame on 5-year-old children's mathematical ability and attitude towards Mathematics. For the study, E, K, and Y preschools located in S city were selected: 28 children from Y preschool as the experimental group(I: n=14, II: n=14) and 28 children from E and K preschool as the comparative group(III: n=14, IV: n=14). During the 8 weeks, the experimental group performed Mathematical Activities using 4D-frame and in the comparison group, Nuri-Curriculum's mathematical activities and mathematics-science integration programs were conducted. The analysis of covariance(ANCOVA) was conducted with the pre-test scores of the experimental group(I, II) and the comparison group(III, IV) as covariance. The results showed that there were statistically significant differences between the experimental and comparative groups. Mathematical Activities for Young Children using 4D-frame enhanced 5-year-old children's mathematical ability and attitude towards Mathematics. The results of this study provide an understanding of the efficiency of early childhood mathematical activities using the 4D-frame in early childhood education and provide basic data for the improvement of mathematical ability and attitude of young children and the applicable educational methods at the field.