• Title/Summary/Keyword: curriculum for mathematics

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An Analysis on the Elementary Preservice Teachers' Problem Solving Process in Intuitive Stages (직관적 수준에서 초등 예비교사들의 문제해결 과정 분석)

  • Lee, Dae Hyun
    • School Mathematics
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    • v.16 no.4
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    • pp.691-708
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    • 2014
  • In general, the intuitive knowledge that can use in mathematics problem solving is one of the important knowledge to teachers as well as students. So, this study is aimed to analyze the elementary preservice teachers' intuitive knowledge in relation to intuitive and counter-intuitive problem solving. For this, I performed survey to use questionnaire consisting of problems that can solve in intuitive methods and cause the errors by counter-intuitive methods. 161 preservice teachers participated in this study. I got the conclusion as follows. preservice teachers' intuitive problem solving ability is very low. I special, many preservice teachers preferred algorithmic problem solving to intuitive problem solving. So, it's needed to try to improve preservice teachers' problem solving ability via ensuring both the quality and quantity of problem solving education during preservice training courses. Many preservice teachers showed errors with incomplete knowledges or intuitive judges in counter-intuitive problem solving process. For improving preservice teachers' intuitive problem solving ability, we have to develop the teacher education curriculum and materials for preservice teachers to go through intuitive mathematical problem solving. Add to this, we will strive to improve preservice teachers' interest about mathematics itself and value of mathematics.

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Contents and Sequences for Line Segments, Straight Lines, and Rays in Elementary Mathematics Curricula and Textbooks (선분, 직선, 반직선의 학습 내용과 학습 계열 분석)

  • Kim, Sangmee
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.635-652
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    • 2023
  • This study conducts a comprehensive analysis of the curricular progression of the concepts and learning sequences of 'lines', specifically, 'line segments', 'straight lines', and 'rays', at the elementary school level. By examining mathematics curricula and textbooks, spanning from 2nd to 7th and 2007, 2009, 2015, and up to 2022 revised version, the study investigates the timing and methods of introducing these essential geometric concepts. It also explores the sequential delivery of instruction and the key focal points of pedagogy. Through the analysis of shifts in the timing and definitions, it becomes evident that these concepts of lines have predominantly been integrated as integral components of two-dimensional plane figures. This includes their role in defining the sides of polygons and the angles formed by lines. This perspective underscores the importance of providing ample opportunities for students to explore these basic geometric entities. Furthermore, the definitions of line segments, straight lines, and rays, their interrelations with points, and the relationships established between different types of lines significantly influence the development of these core concepts. Lastly, the study emphasizes the significance of introducing fundamental mathematical concepts, such as the notion of straight lines as the shortest distance in line segments and the concept of lines extending infinitely (infiniteness) in straight lines and rays. These ideas serve as foundational elements of mathematical thinking, emphasizing the necessity for students to grasp concretely these concepts through visualization and experiences in their daily surroundings. This progression aligns with a shift towards the comprehension of Euclidean geometry. This research suggests a comprehensive reassessment of how line concepts are introduced and taught, with a particular focus on connecting real-life exploratory experiences to the foundational principles of geometry, thereby enhancing the quality of mathematics education.

An Analysis on Behavior Characteristics between Gifted Students and Talented Students in Open-end Mathematical Problem Solving (개방형 문제 해결과정에서 수학 영재아와 수학 우수아의 행동특성 분석)

  • Shin In-Sun;Kim See-Myung
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.33-59
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    • 2006
  • This study is intended to reconsider the meaning of the education for gifted/talented children, the foundation object of science high school by examining the behavior characteristics between gifted students and talented students in open-end mathematical problem solving and to provide the basis for realization of 'meaningful teaming' tailored to the learner's level, the essential of school education. For the study, 8 students (4 gifted students and 4 talented students) were selected out of the 1 st grade students in science high school through the distinction procedure of 3 steps and the behavior characteristics between these two groups were analyzed according to the basis established through the literature survey. As the results of this study, the following were founded. (1) It must be recognized that the constituent members of science high school were not the same excellent group and divided into the two groups, gifted students who showed excellence in overall field of mathematical behavior characteristics and talented students who had excellence in learning ability of mathematics. (2) The behavior characteristics between gifted students and talented students, members of science high school is understood and a curriculum of science high school must include a lesson for improving the creativity as the educational institutions for gifted/talented students, unlike general high school. Based on these results, it is necessary to try to find a support plan that it reduces the case which gifted students are generalized with common talented students by the same curriculum and induces the meaningful loaming to learners, the essential of school education.

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An Analysis of Korean Middle School Students' Achievement of Earth Science in TIMSS-R (제3차 수학.과학 성취도 국제 비교 반복 연구의 지구과학 성취도 분석)

  • Myeong, Jeon-Ok;Hong, Mi-Young
    • Journal of The Korean Association For Science Education
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    • v.22 no.3
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    • pp.649-659
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    • 2002
  • The purpose of this study was to analyse students' achievement of 'Earth Science' in the Third International Mathematics and Science Study-Repeat(TIMSS-R), which was performed in 1999 with 38 nations participating. Korean 8th grade students' achievement of 'Earth Science' was compared with those of other countries and other content areas in science. Average percent correct of items in each subcategory was also analysed. Most of the 'Earth Science' topics were included in the intended curricula of Korea; they were taught to most of the students in science classes. Korean students ' average scale score of 'Earth Science' was significantly higher than the international average, but in comparison with other science content areas, achievement of 'Earth Science' was relatively low. The teachers' confidence in teaching earth science was lower than their confidence in teaching other science areas. The paper presents the results of item analysis and their implications for science education.

A Study on the Correlation between MSC and major curriculum for Efficient Engineering Education (효율적인 공학 교육을 위한 MSC 교과목과 전공 교과목의 연관성에 관한 연구)

  • Kim, Seong-Cheol;Kim, Hye-Yun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.3
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    • pp.673-679
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    • 2011
  • The purpose of this paper is to improve the curriculum efficiently and to raise the level of students's satisfaction by studying the correlation between MSC and major courses. For this, we compared the student's grades for those courses. Furthermore the level of satisfaction of the MSC subjects was surveyed. We found that one of dissatisfactions was due to the student's low recognition about the Accredited Program. So efforts to raise the student's satisfaction abouts the program should be done continuously and an in-depth study about MSC and major courses is necessary instead of just offering the required subjects.

The Influence of Textbooks Applying Gamification Motivation Strategy on Learners' Interest: Social Textbooks for 3rd Graders in Elementary School (게이미피케이션 동기 전략을 적용한 교과서가 학습자의 흥미에 미치는 영향: 초등 3학년 사회 교과서를 중심으로)

  • Bang, Mi-Hyang
    • Journal of Digital Convergence
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    • v.19 no.6
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    • pp.29-38
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    • 2021
  • The social studies, mathematics, and science textbooks of the elementary curriculum will begin to be authorized from 2022. This study explores the effect of textbooks based on a gamification motivation strategy on learner interest. For this purpose, this study analyzes whether the systematic application of the gamification motivation strategy to elementary studies textbooks, which will be authorized from 2022, can develop this textbook into a "learner-centered curriculum book that induces interest." More specifically, this study applied Kumsung Publishing's experimental social studies textbooks in class and conducted a questionnaire among 121 third graders to verify the effectiveness of the textbooks. The results show that studies textbooks based on a gamification motivation strategy greatly influence increased learner interest in the classroom. The textbooks also represent a positive influence in learner understanding, interest, and curiosity regarding the class content and assistance. Demonstrating that gamification motivation strategy is worthwhile to actively apply in future textbook development for the enhancement of learners' interests, this study is significant in that it has presented a meaningful textbook development model.

A Study on Development of Curriculum for Convergence Education School for the Gifted (융합형 영재교육기관의 교육과정 개발에 관한 연구)

  • Lee, Jae-Ho
    • Journal of The Korean Association of Information Education
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    • v.16 no.1
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    • pp.123-130
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    • 2012
  • As a sequel of "special improvement act for gifted student education" legislated on January 2000, "regulation act for gifted student education" was published on April 2002 which is the time Korea has settled down its education for the gifted. Announced in the December 2007 "general plan for development of gifted student education" provided a platform for the gifted student education in Korea of growth in quantity, in which a plan of providing gifted student education up to 1 percent of the elementary and middle school level students (approximately 70 thousands) has been established while the education currently provides to 0.59 percent (40 thousands) of all students. Until recently, however, education for gifted students has been performed based on the way of concentrating on academic domains. and it has put more weights on mathematics and english domains. In order to overcome this drawbacks, there have been various attempts for growth in quality of education for gifted students, one of them is the our proposal of convergence of science and art education for cultivating 21 century creative humans through establishment of new type of institution. In this paper, education curriculum and management strategies appliable to the proposed convergence education institutions for gifted students. For this purpose we derived the implication points through analysis on education processes used in korea science school for the gifted students, a representative institution for the gifted students in Korea, and we suggested educational process curriculums for the science and art institute for gifted students along with the detailed contents of convergence subject which is an essential subject to the institute.

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A Comparative Study of Statistical Processes in Korean and U.S. Middle School Mathematics Textbooks (한국과 미국 중학교 수학 교과서의 통계적 문제해결과정 비교연구)

  • Jeon, Hyewon;Kim, Rae Young
    • Communications of Mathematical Education
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    • v.33 no.4
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    • pp.425-444
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    • 2019
  • Comparing to the U.S. mathematics textbooks, this study examines the opportunity to learn statistical processes represented in mathematics textbooks reflecting 2015 revised curriculum. Analyzing four different kinds of Korean middle school mathematics textbooks and two kinds of corresponding U.S. textbooks for seventh graders, we found that the tasks dealing with all the phases of statistical processes were found only in the U.S. textbooks while not even one task in such a case was not observed in the Korean textbooks. To make matters worse, the proportion of the tasks dealing with only one phase of statistical processes was 93.3% of all the tasks in Korean textbooks. In terms of types of tasks, the types of tasks were very homogeneous in Korean textbooks, usually Types FPR or PR while more various types of tasks were found in the U.S. textbooks such as Types FRI, PRI, FR, or RI. In views of features of each phase in statistical processes, Korean textbooks heavily focused only on some particular statistical behaviors such as 'formulating a problem', 'collecting data', 'transforming data', and 'analyzing a part of data.' The findings of this study provide meaningful implications for improving statistics education and developing mathematics textbooks to enhance students' statistical thinking and problem-solving ability.

A Study on Comprehension level of Mathematical Basic Knowledge by 2nd Middle School Students (중학교 영재학생의 수학기초지식의 이해 정도에 대한 조사 연구)

  • Suh, Bo-Euk
    • Journal of the Korean School Mathematics Society
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    • v.12 no.1
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    • pp.131-149
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    • 2009
  • A study on comprehension level of mathematical basic knowledge(MBK) of gifted students in middle school. The interest in mathematics gifted education is very high. However, in reality, there has been a shortage of the analysis of students' achievement result since mathematics gifted education began through the institute of gifted education in the education office in 2003. On this study, MBK is subdivided into definition, property and procedure and then examination questions arc developed on the basis of national level achievement standard. With these examination tools, total inspection was conducted in on metropolitan city and the result was analyzed. First, in a basic definition, relatively low achievement result was seen except the basic concept related operation. Second, in a basic property, very low achievement result was seen in the questions of basic property without basic definition and as a whole, the result was similar with the basic definition. Third, in basic procedure, the achievement result was very remarkable. This result shows we need tn increase the comprehension ability of MBK. To do this, the systematic alternative development of the questions of selecting gifted students and the contents of gifted education is required. This study proposes the meaningful implication to the selection question development related to the MBK and the improvement of gifted education contents. And it is expected to provide the positive change for mathematics gifted education.

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A Study on the Development of Person-Based Class Materials in Subject (<수학과제 탐구> 과목의 인물 중심 수업 자료 개발 관련 연구)

  • Lee, Dong Gun
    • Communications of Mathematical Education
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    • v.35 no.4
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    • pp.475-504
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    • 2021
  • This study is a study that developed class materials that can be applied directly to classes by field teachers in consideration of ' research on the development is valuable as a field support study.', 'In material development, organizing data centering on the knowledge composition and inquiry activities of characters related to the mathematics concept can help develop class materials', and 'The fact that the development of subject data for has been insufficient'. To this end, this study went through the procedure of 'establishing a data development plan, data development, verifying field teachers on development data, verifying subject experts on development data, and developing final data reflecting verification opinions.' Therefore, based on the 1st 50 minutes reflecting the task exploration model, it was possible to develop class materials for the 3rd time. In this study, development data were presented with a 17-week curriculum plan, a class guidance plan that presents teacher-student interaction, and a task development form that students fill out and submit in class. This study was developed with the developed data in mind to be applied to actual classes. Therefore, a follow-up study is needed to apply the developed data to actual classes and analyze the results.