• Title/Summary/Keyword: contents and methods in teaching and learning mathematics

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An Analysis of an Elementary Math Class Program for Gifted Students and Its Current Status (초등수학 영재학급의 운영 실태 및 프로그램 분석)

  • Kim, Sang Mi;Choi, Chang Woo
    • Education of Primary School Mathematics
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    • v.20 no.1
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    • pp.37-52
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    • 2017
  • The purpose of this thesis is to analyze the current status of a program for an elementary math class for gifted students in Daegu and to propose a remedy. The main results of this thesis are as follows. First, goals of the gifted class and the basic operation direction were satisfactory, however plans for parent training programs and self evaluation of the classes were not presented. Therefore, it needs when and how to do for specific plan of gifted class evaluation and parent training programs. Second, The annual instruction plan has been restricted to the subject matter education and field trips and has not included specific teaching methods in accordance with the contents of learning program. The management of gifted classes, therefore, requires not only the subject matter education and field trips but also output presentations, leadership programs, voluntary activities, events and camps which promote the integral development of gifted students. Third, there is no duplication of content to another grade, and various activities did not cover the whole scope of math topics(eg. number and operation, geometry, measurement, pattern) equally. In accordance with elementary mathematics characteristics, teachers should equally distribute time in whole range of mathematics while they teach students in the class because it is critical to discover gifted students throughout the whole curriculum of elementary mathematics. Fourth, as there are insufficient support and operational lack of material development, several types of programs are not utilized and balanced. It is necessary for teachers to try to find the type of teaching methods in accordance with the circumstances and content, so that students can experience several types of programs. If through this study, we can improve the development, management and quality of gifted math programs, it would further the development of gifted education.

Effects of STEAM(Science-Technology-Engineering-Art-Mathematics) Activities on Young Children's Scientific Process Skill Ability and Problem Solving Ability (STEAM(융합인재교육)활동이 유아의 과학과정기술과 문제해결력에 미치는 영향)

  • Lee, Suki;Yun, Eungyung
    • The Journal of the Korea Contents Association
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    • v.16 no.5
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    • pp.746-759
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    • 2016
  • The purpose of this study was examine the effects of STEAM(Science-Technology-Engineering-Art-mathematics) activities on young children's scientific process skill ability and problem solving ability. Subjects were 34 five-year-old young children from S and H child care centers located in G city. Subjects were divided into an experimental(n=17) and a control group(n=17). The experimental group took part in the STEAM activities during 8 weeks, while the control group took part in the traditional science activities. The procedure for this study consisted of a pre-study, a pre-test, the treatment, and a post-test schedule. The results of this study were as follows: First, the experimental group showed significantly higher score than the control group in total scientific process skill ability. Second, the experimental group showed significantly higher score than the control group in total problem solving ability. These findings suggest that the experience of STEAM activities for young children can be effective teaching-learning methods for young children's scientific process skill ability and problem solving ability.

An Analysis on Teachers' Behaviors in Problem Presenting and Solving Activities in Elementary Mathematics Class (초등수학수업의 과제제시 및 해결활동에서 나타나는 교사의 행동 분석)

  • Lee, Yun-Mi;Kang, Wan
    • Education of Primary School Mathematics
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    • v.11 no.2
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    • pp.121-139
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    • 2008
  • This study analyzed problem presenting and solving activities in elementary school mathematics class to enhance insights of teachers in class for providing real meaning of learning. Following research problems were selected to provide basic information for improving to sound student oriented lesson rather than teacher oriented lessons. Protocols were made based on video information of 5th grade elementary school 'Na' level figure and measurement area 3. Congruence of figures, 4. Symmetry of figures, and 6. Areas and weight. Protocols were analyzed with numbering, comment, coding and categorizing processes. This study is an qualitative exploratory research held toward three teachers of 5th grade for problem solving activities analysis in problem presenting method, opportunity to providing method to solve problems and teachers' behavior in problem solving activities. Following conclusions were obtained through this study. First, problem presenting method, opportunity providing method to solve problems and teachers' behavior in problem solving activities were categorized in various types. Second, Effective problem presenting methods for understanding in mathematics problem solving activities are making problem solving method questions or explaining contents of problems. Then the students clearly recognize problems to solve and they can conduct searches and exploratory to solve problems. At this point, the students understood fully what their assignments were and were also able to search for methods to solve the problem. Third, actual opportunity providing method for problem solving is to provide opportunity to present activities results. Then students can experience expressing what they have explored and understood during problem solving activities as well as communications with others. At this point, the students independently completed their assignments, expressed their findings and understandings in the process, and communicated with others. Fourth, in order to direct the teachers' changes in behaviors towards a positive direction, the teacher must be able to firmly establish himself or herself as a teaching figure in order to promote students' independent actions.

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A analysis of the elementary school and the middle school mathematics education as a curriculum quality-management (교육과정 질 관리를 위한 초·중학교 수학교육 실태 분석)

  • Kim, Sun Hee;Lee, Seung-mi
    • Communications of Mathematical Education
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    • v.31 no.2
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    • pp.167-185
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    • 2017
  • The purpose of this study is to analyze the actual states of the elementary school and the middle school mathematics education as a curriculum quality-management. To this end, this study surveyed the input, process and output phase in the school curriculum to the teachers, students and parents. The results are like these: First, the achievement standards contents in the elementary school and the middle schools are relevant in the input phase. Second, the teachers in the elementary school have more concern on the teaching & learning methods than those in the middle school in the process phase. Third, students and parents' satisfaction on the cognitive and affective domain in the elementary school is higher than that in the middle school in the output phase. This study suggests that these result has to be affected to make ways to apply the new curriculum, and the curriculum revision system has to be established to revise the curriculum as an important method of quality management.

A Study on the Curriculum for Elementary and Middle School in Robot and Convergence Activity (초.중학교 로봇융합활동 교육과정에 관한 연구)

  • Park, Jung-Ho;Kim, Chul
    • Journal of The Korean Association of Information Education
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    • v.18 no.2
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    • pp.285-294
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    • 2014
  • Recently, research using robots as a learning tool has increasingly been conducted in K-12 education area. It has been known that hands-on robots give positive educational effect not only on science and mathematics, but on STEAM activity, and help improve the abilities necessary in the 21 century, such as critical thinking, creativity, communication skills, and team work. Despite many research achievements, there is still few research on robot based curriculum to improve the instrumental application of robots in the primary and secondary education fields. In other words, there is a lack of studies of systematic educational contents, educational methods and educational evaluation to increase the instrumental application according to schools and class years. Therefore, this study analyzed domestic and foreign robot based curriculums and relevant cases to develop 'robot' related educational programs in primary school and middle school, suggested the achievement objectives in the robot area as a sub category of the computer science curriculum which will be revised, and proposed teaching-learning method and evaluation method.

Middle School Students' Understanding of Constant Rate of Change in Functional Situations Using SimCalc MathWorlds (SimCalc MathWorlds를 활용한 함수적 상황에서 드러나는 중학생들의 일정한 변화율에 대한 이해)

  • Ma, Minyoung
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.599-614
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    • 2017
  • The purpose of this study is to compare and analyze middle school students' understanding of constant rate of change, in terms of observing, representing and interpreting dynamic functions in various ways using the SimCalc MathWorlds. For this purpose, parts of a class conducted for six students in the first grade of middle school were analyzed. The results suggested two implications for a class that used this program (SimCalc MathWorlds): First, we confirmed that the relationships between the two quantities that students notice in the same situation can be different. Second, the program helped students to develop a more comprehensive understanding of the meaning of the constant rate of change. The study also revealed the need to use technology in teaching and learning about functions, particularly to represent and interpret a given situation that involves the constant rate of change in various ways. Further, the results can contribute to developing contents and methods to teach functions using technology in consideration of students' different levels of understanding.

A Case Study on the Effect of the Artificial Intelligence Storytelling(AI+ST) Learning Method (인공지능 스토리텔링(AI+ST) 학습 효과에 관한 사례연구)

  • Yeo, Hyeon Deok;Kang, Hye-Kyung
    • Journal of The Korean Association of Information Education
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    • v.24 no.5
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    • pp.495-509
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    • 2020
  • This study is a theoretical research to explore ways to effectively learn AI in the age of intelligent information driven by artificial intelligence (hereinafter referred to as AI). The emphasis is on presenting a teaching method to make AI education accessible not only to students majoring in mathematics, statistics, or computer science, but also to other majors such as humanities and social sciences and the general public. Given the need for 'Explainable AI(XAI: eXplainable AI)' and 'the importance of storytelling for a sensible and intelligent machine(AI)' by Patrick Winston at the MIT AI Institute [33], we can find the significance of research on AI storytelling learning model. To this end, we discuss the possibility through a pilot study targeting general students of an university in Daegu. First, we introduce the AI storytelling(AI+ST) learning method[30], and review the educational goals, the system of contents, the learning methodology and the use of new AI tools in the method. Then, the results of the learners are compared and analyzed, focusing on research questions: 1) Can the AI+ST learning method complement algorithm-driven or developer-centered learning methods? 2) Whether the AI+ST learning method is effective for students and thus help them to develop their AI comprehension, interest and application skills.

Analysis on the achievement characteristics of the students of multicultural and North Korean migrant families by school classes in 2011 National Assessment Educational Achievement (2011년 수학과 국가수준 학업성취도 평가에서 나타난 다문화.탈북 가정 학생의 학교급별 성취 특성 분석)

  • Jo, Yun Dong;Kang, Eun Joo;Ko, Ho Kyoung
    • School Mathematics
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    • v.15 no.1
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    • pp.179-199
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    • 2013
  • In this study we grasp what contents in the mathematics curriculum the students of multicultural and North Korean migrant families are vulnerable to and we would like to provide the bases to devise the appropriate teaching and learning methods for them. In order to this work we used the results of 2011 National Assessment Educational Achievement. We categorized students from multicultural and North Korean migrant families into children from international marriage family (born in country or immigrated), foreign family, and North Korean migrant family and compared each category with the whole students. First, for each school class we analyzed characteristics of academic achievement by ratio of achievement level, means of calibrated score, and percentages of correct answers in NAEA, mean percentages of correct answers by content domains, and percentages of correct answers by items. In addition to these we analysed items qualitatively and investigated study conditions in which the students of multicultural and North Korean migrant families have difficult times. In every subgroup the more ratio of advanced level decreases and ratio of below basic level increases the more school classes go up. Also these phenomena appear differently by each group and by content domain. For this reason by group, the supporting on learning will be needed.

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An Analysis on Perception of Students on Elementary Mathematics Gifted Program (초등 수학 영재 프로그램에 참가하는 학생의 인식 분석)

  • Lee, Jung;Kang, Wan
    • Communications of Mathematical Education
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    • v.21 no.1 s.29
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    • pp.107-124
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    • 2007
  • This study, at this point where a national attention is being focused on the special education for brilliant children after the enactment of the law regarding the promotion of the special education for brilliant children and the establishments of various policies on the education of excellence, investigated and analyzed the perceptions of students who are participating in the program for elementary school brilliant children on mathematics. First, the understanding of the area of the definition of brilliant students by the teachers with the institutions for the special education for brilliant children that use the program for elementary school brilliant children on mathematics should be increased. Second, the professionality of the teachers should be secured for an efficient operation of the program for elementary school brilliant children on mathematics. Third, the students who participated in the special education lot brilliant children tended to be self-initiative in participating in the program but the self-initiative aspect was insufficient in the lessons. Fourth, the students who are participating in the special education for brilliant children have positive opinions on the contents and methods of the lessons. Fifth, as for the materials for brilliant children's learning supplied to the program for elementary school brilliant children on mathematics, the brilliant students perceive them as the teaching materials for brilliant children. In this thesis, the program for special education for brilliant children was assessed and analyzed through the questionnaires to the teachers and students participating in the program. More abundant brilliant children programs should be developed so that the programs suitable the brilliant students can be provided to the students and the studies to improve the programs with regards to the effectiveness etc should be continually done from now on.

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A discussion from a multi-dimensional curriculum perspective on how to instruct the computational estimation of addition and subtraction (덧셈과 뺄셈의 어림셈 지도 방식에 대한 다차원 교육과정적 관점에서의 논의)

  • Do, Joowon;Paik, Suckyoon
    • The Mathematical Education
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    • v.59 no.3
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    • pp.255-269
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    • 2020
  • In this study, how to instruct the computational estimation of addition and subtraction was considered from the perspective of a 'intended-written-implemented' multi-dimensional curriculum. To this end, the 2015 revised elementary school mathematics curriculum as a intended curriculum and the 2015 revised first~sixth grade textbook as a written curriculum were analyzed with respect to how to instruct the computational estimation of addition and subtraction. As an implemented curriculum, a research study was conducted in relation to the method of instructing teachers about the computational estimation of addition and subtraction. As a result, first, it is necessary to discuss how to develop the ability to estimate and set it as a teaching goal and achievement standard in a separate curriculum to instruct it with learning content. Second, it is necessary to provide an opportunity to learn about various estimation methods by presenting specific activities so that students can learn the estimation itself in a separate operation method. Third, in order to improve the computational estimating ability of addition and subtraction, contents related to the computational estimation need to be included in the achievement criteria, and discussions on the expansion of the areas, and the diversification of the instructing time will be needed.