• Title/Summary/Keyword: understanding of purpose of mathematics education

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Mathematical analysis of girih tiles for mathematics and design integration education (수학과 디자인 융합 교육을 위한 기리 타일의 수학적 탐색)

  • Suh, Bo Euk
    • Education of Primary School Mathematics
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    • v.20 no.3
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    • pp.237-252
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    • 2017
  • The era of the Fourth Industrial Revolution has also influenced the direction of mathematics education. In particular, the convergence capability that recognizes how mathematics can be applied and utilized in various fields is an important point. The purpose of this study is to examine the point of convergence and to develop a fusion program that can be used in the mathematics classroom. Specifically, we analyze the tiles used in ancient Islamic architecture from a mathematical point of view and develop mathematics and multifamily convergence programs based on them. Through the mathematical analysis of the geometric tiling made 500 years earlier than Penrose, I hope that understanding of design, the use of mathematics and the possibility of convergence of other disciplines through mathematics will be widened.

An Inquiry on the Understanding Process of Discrete Mathematics using TI-92 Calculator - Matrix and Graph- (TI-92 계산기를 활용한 이산수학의 이해과정 탐구-「행렬과 그래프」단원을 중심으로-)

  • Kang , Yun-Soo;Lee, Bo-Ra
    • Journal of the Korean School Mathematics Society
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    • v.7 no.2
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    • pp.81-97
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    • 2004
  • This paper is a study on the understanding process of「Matrix and Graph」on discrete mathematics using TI-92 calculator. For this purpose, we investigated the understanding process of two middle school students learning the concepts of matrix and graph using TI-92 calculator. In this process, we collected qualitative data using recorder and video camera. Then we categorized these data as follows: students' attitude related to using technology, understanding process of meaning, expression and operation of matrix and graph, mathematical communication, etc. From this, we have the following conclusions: First, students inquired out the meaning and role of matrix by themselves using calculator. We could see that calculator can do the role of good learning partner to them. Second, students realized their own mistakes when they used calculator on the process of learning matrix. So we found that calculator could form the self-leading learning circumstance on learning matrix. Third, calculators reinforce the mathematical communication in learning matrix and graph. That is, calculator could be a good mediator to reinforce mathematical communication between teacher and students, among students on learning matrix and graph.

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A Study on the Development of Open-Ended Tasks and Assessment Rubrics for Elementary School Mathematics (초등수학 서술형 수행평가 문항 및 평가기준 개발 연구)

  • Cho, Mi-Kyung
    • The Mathematical Education
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    • v.46 no.2 s.117
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    • pp.207-226
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    • 2007
  • The purpose of this study was to design and develop the processes of tasks and assessment rubrics of open-ended tasks, and those for the 5th graders of elementary school mathematics. 7 tasks were finally developed, and 'problem understanding', 'problem solving process', 'communication' were selected as the criteria for assessment rubrics. The result was that the ability of mathematical power covering problem understanding ability, problem solving ability and mathematical communication ability was low. Specifically, problem understanding ability was the highest, problem solving ability was middle, and mathematical communication ability was the lowest.

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An overview on humanistic imagination in mathematics education (수학교육에서 인문학적 상상력에 대한 소고)

  • Park, Mangoo
    • The Mathematical Education
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    • v.59 no.2
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    • pp.185-199
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    • 2020
  • The purpose of this study is to discuss what the incorporation of humanistic imagination into mathematics means to mathematics education and to suggest implications for mathematics education in school mathematics. Traditionally, mathematics has been perceived to be far from our life problems because it targets logical and pure abstract thinking. According to international mathematics and science studies such as TIMSS and PISA, Korean students have relatively high mathematics achievement in the international research, but their attitude toward mathematics is very negative and their awareness of why they are learning mathematics and their satisfaction with life is low. In mathematics education, linking mathematics with humanities imagination allows students to view problems of human life from a humanities perspective, and to have an understanding of others and reflect on themselves from a new perspective. The researcher introduces several examples of whether mathematics and humanistic imagination can be combined for mathematics education. In this study, the ultimate reason for learning mathematics is to achieve learners to realize the principles of life or Dharma, and to live a happier life. However, in order to expand its rich meaning by making these new attempts in mathematics education, the researcher argued that tolerance and patience are needed for many challenges and difficulties in improving the quality of mathematics content itself including applying humanistic imagination to mathematics properly.

The Effect of using Teaching-Learning Materials from Mathematical History, with Illustrations of the Impact Students -Centered around Sequence Chapter of Mathematics I- (수학사 및 예화자료를 활용한 교수.학습이 학생들에게 미치는 효과 -수학 I 수열 단원을 중심으로-)

  • Yoon Dae-Won;Park Sun-Jung
    • Communications of Mathematical Education
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    • v.20 no.3 s.27
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    • pp.343-359
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    • 2006
  • The purpose of this research is to study the effect of using teaching materials related to the chapter on the mathematical history of sequence and to propose practical ways for teachers to use the materials in class. This study will show how to employ mathematical history to illustrate the practical use of mathematics, arouse students' interest, and improve the understanding of mathematics of students who are not interested in mathematics.

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The Constructivist Teaching Experiment (구성주의자의 실험 교수)

  • 박만구
    • School Mathematics
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    • v.1 no.2
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    • pp.513-528
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    • 1999
  • The primary purpose of the constructivist teaching experiment is to experience and construct models of students' mathematical teaming and reasoning. The constraints the teacher experience in teaching experiment constitute a basis for understanding students' mathematics. The constructivist teaching experiment that includes a dynamic interaction process between teacher and students and between students and students, is the most hopeful research method in mathematics education. In this paper, I introduced the constructivist teaching experiment and showed several examples of applications that were used in the previous research.

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Comprehensive strategies to improve students' attitudes toward mathematics (수학 흥미도 증진을 위한 방안 및 고찰)

  • Kim, Taik-H.
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2010.04a
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    • pp.21-28
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    • 2010
  • It is common that whoever is having a very low achievement level in mathematics has a poor attitude toward mathematics. However, it is totally opposite when we look at the case of Korean students. On several studies on international comparisons in mathematics and science achievement, Korean students recorded a top ranks among the nations. However, their attitudes toward mathematics are very poor; almost at the bottom in international assessment among other countries compared to international peers. The purpose of this study is to examine the relationship between students' attitudes toward mathematics and teaching methods and to analyze findings of research articles published within the last 15 years. These findings will contribute not only to understanding a relationship between students' attitudes toward mathematics and teaching methods, but to provide guidelines for how students' attitudes toward mathematics can be improved.

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The Effect of STEM Integration Education Using Educational Robot on Academic Achievement and Subject Attitude (교육용 로봇을 활용한 STEM 통합교육이 학업성취, 교과태도에 미치는 효과)

  • Song, Jeong-Beom;Lee, Tae-Wuk
    • Journal of The Korean Association of Information Education
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    • v.15 no.1
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    • pp.11-22
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    • 2011
  • The purpose of the research is examine the effect of STEM integration education using educatinal robot on academic achievement and subject Attitude of mathematics and science. The participants were 73 students of two classes, sampled from 6th graders of an elementary school. They were divided into a control group who learned a traditional mathematics and sciences education based textbooks and an experimental group who learned STEM integration education using educational robot during 12 sessions. The results are summarized as follows : First, there is a significant difference in academic achievement between two groups. STEM integration education using educational robot based group accomplished higher achievement than textbook based instruction group. Especially, post test analyzes results on the three factors of academic achievement, knowledge, understanding and adaptation, indicate statistically meaningful difference between two groups in understanding and adaptation area except knowledge area. Second, it shows that it greatly affected a positive influence on experimental group's attitude toward subjects in affective area. So we can expect STEM integration education using educational robot to be an alternative for stimulating children's higher learning interest on mathematics and science subject.

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Investigating mathematics teachers' understanding of and intention to use textbooks (수학 교사의 교과서 이해 및 활용 의도 탐색)

  • Cho, Soohyun;Kim, Gooyeon
    • The Mathematical Education
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    • v.60 no.1
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    • pp.111-131
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    • 2021
  • This study aims to investigate how secondary mathematics teachers understand and intend to use textbooks for their mathematics instruction. For this purpose, we developed a set of survey items in order to unpack what the teachers understand the mathematical tasks suggested in the textbooks in terms of the levels of cognitive demand and how they intended to use the tasks in the textbooks for their teaching. Twenty-five teachers participated in the survey. The data from the survey were analyzed. The findings from the data analysis suggested as follows: a) the teachers seemed to closely follow textbooks without attempting to modify the tasks, even when the teachers consider it is necessary to modify textbook tasks to high-level tasks, b) the teachers seemed to be unstable in regards that they admitted themselves very competent for modifying tasks for developing students' mathematical thinking but, at the same time, they were uncomfortable with transforming tasks into cognitively demanding tasks that promote students' mathematical understanding, and c) the teachers appeared to consider textbooks as significant criteria in conducting tests including midterm and final exam. In conclusion, the teachers seemed to intend to follow closely the contents and sequence of mathematics textbooks in their mathematics classrooms.

A Study on the Understanding of Height Concept of Figures of Sixth Grade Students of Elementary Schools (초등학교 6학년 학생들의 도형의 높이 개념 이해에 대한 연구)

  • Im, Seung-Hyun;Park, Young-Hee
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.141-159
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    • 2011
  • The purpose of the present research is to suggest implications on guidance of height concept understanding of figures by investigating concept understanding how sixth grade's elementary school students understand a height concept of figures. In order to achieve this research purpose, a height concept understanding test of figures was carried out with the target of 54 sixth grade students who already learned a height concept of plane figures and three-dimensional solid figures and thus this research analyzed characteristics and errors appeared there. When analyzing its characteristics and errors interviews with students were carried out for in-depth analysis. And as a result the following implications could be obtained. First, students felt more difficulty in measuring height in a figure that its lower base is not horizontal in questions measuring height of a plane figure. Second, there were cases that students associate a height concept of figures with experience of height experienced in daily life. Third, students were feeling difficulty in linguistically expressing a concept called height that oneself has. Expressing a concept linguistically plays an important role in understanding a concept clearly. Accordingly activities for raising this mathematical communication ability are required, Fourth, the present research can suggest implications in designing classes that students can clearly understand the height concept of figures.

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