• Title/Summary/Keyword: the Improvement of Teaching Mathematics

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An Improvement of Mathematics Course Using MathML in ICT Environment (MathML을 이용한 수학교과 ICT활용 교육 개선방안)

  • Hong, Eun-Pyo;Lee, Su-Hyun
    • Journal of The Korean Association of Information Education
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    • v.7 no.1
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    • pp.11-26
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    • 2003
  • Although many mathematical teaching/learning materials are already developed in the web, diverse utilization of this materials such as calculation, searching, or reusing of expressions are limited since the expression is actually a figure. To cope with this, MathML which describing mathematical notation was developed. In the paper, we proposed the methods of developing teaching materials using MathML, making learning assistance tools which utilize MathML, and applying MathML to information exchange community for Mathematics courses in ICT environment. Using MathML to develop a teaching material makes easy to correct and reuse the mathematical notations conveniently. Furthermore, learning assistance tools made by placing MathML help teachers reorganize and utilize these materials in the classroom as well as enhancing the connection between mathematical notations and concepts. The web-board that can make a use the mathematical notations using MathML enables the teachers and students to exchange information actively. It also helps to fulfill different types of teaching using ICT such as "discussion on the web".

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A Case Study on Error of Underachievers in Mathematics in Function Learning (함수 학습에 나타난 수학 학습부진아의 오류에 대한 사례 연구)

  • Shim, Sang-Kil;Choi, Jae-Yong
    • Communications of Mathematical Education
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    • v.22 no.3
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    • pp.275-288
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    • 2008
  • The study aims to figure phenomena and changes that underachievers in mathematics show in the process of learning a function. It is necessary to remind basic concepts once again in advance at a time of teaching underachievers in mathematics to check what they have difficulties in learning for further teaching later on. Five participating students said that teachers' detailed explanation was more helpful, and they found it difficult to learn tables, graphs and formulas at first, but as time progressed, they naturally accepted them. In this regard, it is necessary to use various expressions and means to teach underachievers in mathematics.

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Case study on identity development of mathematics teachers involved in learning community: Based on the theory of "Community of Practice" (학습공동체에 참여한 수학교사의 정체성 형성 과정에 대한 사례연구: 실천공동체 이론을 중심으로)

  • Yoon, Jungeun;Kwon, Oh Nam
    • Communications of Mathematical Education
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    • v.38 no.1
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    • pp.1-26
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    • 2024
  • As the limitations of professional development programs and individual attempts to improve teaching expertise have been reported, mathematics teachers have operated various types of teacher learning communities as alternative teacher professional programs. A teacher learning community can be considered a Community of Practice(CoP) in that it satisfies three factors of Cop, which are common purpose, mutual participation, and shared repertoire, so the 'learning' of a teacher community can be interpreted based on the theory of CoP. The purpose of this study is to investigate the process of identity development of five mathematics teachers who have been continuously involved in teacher communities. For this, the researcher collected data on the entire process of community activities through participant observation and conducted individual follow-up interviews to explore mathematics teachers' narratives and personal experiences. Results indicated that mathematics teachers experienced the development of practical knowledge related to mathematics teaching and learning, improvement of teaching practice through continuous reflection and introspection, and recognization the shared value of togethering through community immersion. Based on these experiences, implications for the effective operation of learning communities such as national support of teacher learning communities and horizontal and cooperative teacher norms were discussed, and follow-up research was proposed.

A Survey on Teacher's Cognition for the Improvement of Robotics Education in Public Education (공교육의 로봇교육 내실화를 위한 교사 인식 조사)

  • Kim, Sung-Ae;Ji, Soon-Duk
    • The Journal of Korea Robotics Society
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    • v.6 no.4
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    • pp.365-372
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    • 2011
  • The purpose of this study is to improve robotics education in public education. This study was conducted with 157 secondary school teachers regardless of their gender, age and majors. The results are as follows: First, 68.2% of the respondents (81.2% of the STEM(Science, Technology, Engineering, Mathematics)-related teachers) thought that robotics education should be included in public education because it will be a very important area in the future. Second, 73.3% of respondents (89.3% of the STEM-related teachers) agreed that robotics education will be worth teaching as a regular subject. The most important reason was that they thought the robots would be an excellent tool to initiate their class participation and increase their study motivation. Third, the results from this survey showed that the technology teachers would be the best suitable instructors for robotics education. Lastly, teachers felt a great deal of burden to teach robotics although they thought robotics education was necessary. In order to implement robotics education in public school, teachers think it is necessary to take professional training. In addition, teachers should be supported with the reduction in their workload along with sufficient fundings, educational robots such as LEGO MINDSTORMS, and newly designed teaching materials.

The Case Study of Gender Difference in Mathematical Problem Solving (수학적 문제해결 과정에 대한 성별 사례 연구)

  • Lee, Kwang Sang;Suh, Bo Euk
    • Education of Primary School Mathematics
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    • v.16 no.2
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    • pp.147-162
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    • 2013
  • This is an in-dept case study that extract the problems showing remarkable gender gap in 6th graders and analyze the difference between boys and girls in the process of problem solving. This study can be summarized as the following. First, according to the result of basic study, the parts are divided into measurement, probability and statistics and regularity. And then test problems and face-to-face talk contents are developed. Second, the distinct features between boys and girls, follow-up study and face-to-face talk. As a result, five characteristics of gender gap are selected. Through the results of this study, the improvement of teaching & learning development and evaluation considering gender is expected in the classrooms of elementary schools.

Assessment Study on Educational Programs for the Gifted Students in Mathematics (영재학급에서의 수학영재프로그램 평가에 관한 연구)

  • Kim, Jung-Hyun;Whang, Woo-Hyung
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.235-257
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    • 2010
  • Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.

Case Study on the Development of STEAM Instruction Material for Mathematics Subject-Based Advanced Technology and ICT Teaching Tools (초등수학 교과 기반 첨단 기술 및 ICT 교구 활용형 융합교육 자료 개발에 대한 사례 연구)

  • Lee, Jong-hak
    • Journal of the Korean School Mathematics Society
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    • v.25 no.4
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    • pp.333-352
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    • 2022
  • This study is aimed at developing the STEAM instruction materials for mathematics subject-based advanced technology and ICT teaching tools. In order to develop the STEAM materials, a PDI model in which the implementation and evaluation steps were simplified to Improvement was used. The developed STEAM materials were revised and supplemented by a group of experts. The subject of the STEAM class material developed in this study is 『Graph! The bridge that connects the past, present and future』 , 『You are the same but different!』 , 『Creating a virtual reality three-dimensional space together』 , 『And making interesting figures』 and 『Cover the roof of the turtle ship!』 . As a suggestion based on the results of this development study, various STEAM education materials should be developed and shared so that STEAM education can be performed in the elementary education field. And for the spread and settlement of STEAM education, the cultivation and expansion of STEAM education capabilities of on-site elementary school teachers or pre-service teachers will be an absolute prerequisite. And this suggests the need for a continuous and long-term approach to follow-up research on STEAM education.

Study on Flipped Learning and Flipped PBL Effectiveness of College General Mathematics (대학교양수학의 플립러닝과 플립 PBL 효과성연구)

  • Kim, Dong-Ryool
    • Journal of the Korea Convergence Society
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    • v.9 no.6
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    • pp.209-215
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    • 2018
  • The college liberal arts mathematics is opened as a required course in science and engineering field, but students with low achievement experience difficulty in learning. Therefore, flip learning, which is well known as an effective teaching method based on self-led and learner, is suggested as an alternative. However, some problems are pointed out in this pedagogy. As an alternative to flip learning, we apply flip PBL classes that apply PBL to flip learning to general math subjects to supplement the problems of existing flip learning classes and increase interest in mathematics I want to know the effectiveness of whether it can be done. In this study, we investigated the educational effectiveness of the comparison study between the experimental group applying flip PBL class and the control group applying the existing flip learning class. First, the experimental group showed higher than the control group by 22 points Second, in the reflection journal analysis, in contrast to the control group, there was a positive effect on the improvement of the interest of the mathematics in the experimental group, It is expected that it will be applied as a teaching method that can complement the learning.

A Study on a Step-wise level Educational Model for Calculus (미분적분학 단계별 교육을 위한 교과내용 및 방법 연구)

  • Shim J. D.;Ha J. H.;Lee K. H.;Chun C. B.
    • Communications of Mathematical Education
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    • v.19 no.4 s.24
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    • pp.633-647
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    • 2005
  • The rapid change in school mathematics curricula occurred over last some periods requires lots of change or improvement in the education method for the university mathematics, especially in calculus. As an effort in this direction we restrict our concern to the freshmen of year 2002 of the Korea university of technology and education to investigate a correlation between their mathematics score on the national entrance examination and achievement score measured by their final grades in a calculus course. As a result of this research we propose a step-wise level educational model for the calculus education. In the model an appropriate teaching contents and method proceeding through the three steps are suggested and implementation issues are discussed. We believe that carrying out mathematics curricular are suggested in the model will be of service to calculus education particularly for student under the 7th national curriculum reform.

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An Analytic Study of Beliefs in Mathematics and Mathematics Education (예비 중등수학교사의 수학 및 수학교육에 관련한 신념 분석연구)

  • Kang, Ok-Ki;Han, Shin-Il
    • Journal of Educational Research in Mathematics
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    • v.17 no.4
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    • pp.381-393
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    • 2007
  • The study focuses on what to consider and do for the improvement of math education of Korean Universities by comparing freshmen and seniors of department of math education in their beliefs in mathematics and math. education. The major comparing topics in the beliefs are composed of perception of mathematics as a science, learning methods of mathematics, teaching methods of mathematics, and roles and qualifications of math. teachers. The results of the study show that junior students tend to be more positive in their beliefs, especially in math education area than that of mathematics, compared to the freshmen. It implies that how important the role of topics covered in math education during college years is for changing the future teachers' beliefs in math and math education more positively. The supposed influencing contents of the curriculum of math. education are composed of learning reflection method based on problem-based learning, understanding mathematics as originated from the real world, mathematical pedagogy, text analysis, practice in classroom, and understanding various concepts in math. education area.

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