• Title/Summary/Keyword: analyzing mathematics

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A Development Study of a Framework for Analyzing the Educative Features of Teacher Guidebooks for Elementary Mathematics (초등학교 수학 지도서의 교육적 특징 분석틀 개발 연구)

  • Pang, JeongSuk;Park, Yejin;Oh, MinYoung
    • Education of Primary School Mathematics
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    • v.26 no.4
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    • pp.277-298
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    • 2023
  • Despite the significance of teacher guidebooks as a support for teacher learning, there are few studies that address the educative features of teacher guidebooks. The purpose of this study is to develop a framework for analyzing the educative features of teacher guidebooks for elementary school mathematics. The framework developed by Fuentes and Ma(2018) for analyzing teacher guidebooks, "Teacher Learning Opportunities in Mathematics Curriculum Materials", was used as an initial framework by adding the unit development flow that reflects on the organizational features of teacher guidebooks in Korea for elementary mathematics. Then, the framework was modified and supplemented by testing 10 types of teacher guidebooks for Grades 3 and 4 per six units reflecting on different mathematical strands. As a result, the final framework expanded the initial framework and added elements related to each dimension of the framework according to the unit development flow. The analytical framework developed in this study can be used to closely analyze the educative features of teacher guidebooks of Korean elementary school mathematics in the future and to develop teacher guidebooks to promote teacher learning.

Exploring the Direction of Middle School Statistics Education through a Comparison of Statistical Content between China & Korea: Focused on the Revised 2022 Mathematics Curriculum (중국의 중학교 통계 교육과정 분석을 통한 통계교육 방안 탐색: 2022 개정 수학과 교육과정을 중심으로)

  • Suh, Boeuk;Rim, Haemee
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.329-348
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    • 2023
  • This study is necessary for the stable settlement of the 2022 revised mathematics curriculum 'data and possibility' area. This study was conducted centering on literature analysis. The purpose of this study is to realize statistics education in line with the 2022 revised mathematics curriculum. This purpose was achieved by examining the statistics learning contents of the 2022 revised curriculum, analyzing Chinese mathematics curriculum, and analyzing Chinese mathematics textbooks. In this study, the following studies were conducted. First, five elements were extracted through the analysis of the 'statistics and probability' area of the Chinese mathematics curriculum. The extracted elements are the 4th grade goals, synthesis and practice content areas, achievement standards for statistics and probability (6), (9), and (11). Second, examples presented in Chinese mathematics textbooks and Chinese curriculum appendices related to the extracted elements were analyzed. Regarding the 4th grade goal, the statistical problem-solving process of the 7th grade 2nd semester mathematics textbook was analyzed. Regarding the synthesis and practice content area, the data analysis unit of the 8th grade 2nd semester mathematics textbook was analyzed. In relation to the achievement standard (6), Example 85 of the curriculum appendix was analyzed, in relation to the achievement standard (9), Example 86 was analyzed, and in relation to the achievement standard (11), Example 87 was analyzed. Third, based on the analysis results, implications for the development of new curriculum and 'textbook development, teaching and learning methods' according to the 2022 revised middle school mathematics curriculum were derived. Through the results of this study, we expect the successful realization of the 2022 revised middle school mathematics and curriculum statistics education.

A study on the geometric construction task of middle school according to the mathematics curriculums (교육과정에 따른 중학교 작도 과제의 변화 연구)

  • Suh, Boeuk
    • East Asian mathematical journal
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    • v.36 no.4
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    • pp.493-513
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    • 2020
  • The reason for this study is that the learning content of geometric construction in school mathematics is very insufficient. Geometric construction not only enables in-depth understanding of shapes, but also improves deductive proof skills. In school mathematics education, geometric construction is a very important learning factor, and educational significance is very high in that it can develop reasoning skills essential to the future society. Nevertheless, the reduction of geometric construction learning content in Korean curriculum and mathematics textbooks is against the times. Therefore, the purpose of this study is to analyze the transition of geometric construction learning contents in middle school mathematics curriculum and mathematics textbooks. In order to achieve the purpose of this study, the following studies were conducted. First, we analyze the characteristics of geometric construction according to changes in curriculum and textbooks. Second, we develop a framework for analyzing geometric construction tasks. Third, we explore geometric construction tasks according to the developed framework. Through this, it is expected to provide significant implications for the geometric areas of the new middle school curriculum that will be developed in the future.

Studies on Exploring Math. Disliking Factors and Devising Tools to Analyze Students' Disliking Trends about School Mathematics (수학 기피요인의 설정 및 기피성향의 분석도구 개발)

  • 김영국;박기양;박규홍;박혜숙;박윤범;유현주;권오한;이선아
    • The Mathematical Education
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    • v.40 no.2
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    • pp.217-239
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    • 2001
  • To lessen the ratio of under achievers is one of the most urgent task which recent school mathematics education is confronted with. To cope with this problem efficiently, math. teachers should know more specifically and concretely the causes that make the students dislike mathematics. But actually, there are too many reasons for these situations. So, in this paper, we tried to devise a tool to analyze and measure each student's math. disliking status. We proceeded this research via the following procedures. 1. Grasping the causes which make the students dislike mathematics as specifically as possible. To obtain this, we asked more than 300 of secondary school students to write down their thoughts about school mathematics. 2. Analyzing the responses, we abstracted 74 numbers of items which were supposed to be the causes for secondary school students'mathematics disliking. 3. With these items we made a test to measure students'aptitude for each item. 4. With this test paper, we tested over 800 of secondary school students. Through factor analysis and theoretical argument, we categorized the 74 items into 11 groups whose names were defined as factors of mathematics disliking. 5. For each of these 11 factors, we developed a norm which could serve as standard of comparison in measuring each student's mathematics disliking status. Using this tool teachers were able to describe each student's traits of mathematics disliking more specifically.

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An Analysis of Research Trend in Domestic Mathematics Gifted Education (수학영재교육 관련 국내 연구 동향 분석)

  • Min, Kyung-A;Yoo, Mi-Hyun;Ko, Ho-Kyoung
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.389-413
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    • 2011
  • This study had suggested the direction and implications of mathematics education for the gifted student by looking into domestic research trends in relation with mathematics education for the talented children from 2000 to 2010. 168 theses were analyzed by researching theses about mathematics education for the talented children and the total 10 kinds of special journals that are registered or to be registered at National Research Foundation of Korea in order to find a research trend about mathematics education for the talented children. As a result of analyzing theses of each year, the number of theses on mathematics education for the talented children has been increasing largely since2004 and it is steadily being conducted until now. As a result of analyzing theses for each research theme, frequency was shown in order of development research about educational course program for mathematics education for the talented children and research on characteristics of the talented children. For analysis result of research target, research targeting elementary school students has taken great importance. For the aspect of research methods, research about development of program and research tool was used in theses and qualitative research method was mainly used in journals and therefore a direction of mathematics education for the talented children was discussed according to this.

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A Developing of Self-directed Learning Program to Improve Abilities for Learning Mathematics (수학 학습 능력 향상을 위한 자기 주도적 학습 프로그램 개발)

  • Lee, Joong-Kwoen
    • The Mathematical Education
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    • v.44 no.3 s.110
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    • pp.397-408
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    • 2005
  • This research developed self-directed teaming program for students who learn mathematics to improve their abilities for learning mathematics. A small-group cooperative teaming model was based on the self-directed loaming program which this research developed. The main target of this program was the second grade students of middle school. The program was consisted with three developing parts. The part 1 of program developing was consisted with analyzing and reconstructing mathematics curriculum, devising small-group cooperative learning program, and structuring teaching and teaming plans. The part 2 included the management of small-group cooperative Loaming and how to use the materials which this research developed. The part 3 provided various cooperative learning opportunities for students to improve their abilities for loaming mathematics.

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'The Knowledge Quartet' as a framework of analyzing teacher knowledge in mathematics instruction (수학 수업에서 드러나는 교사 지식을 분석하기 위한 틀로서의 '교사 지식의 사중주(Knowledge Quartet)')

  • Pang, JeongSuk;Jung, Yookyung
    • The Mathematical Education
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    • v.52 no.4
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    • pp.567-586
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    • 2013
  • The purpose of this study was to introduce the Knowledge Quartet (KQ) framework by which we can analyze teacher knowledge revealed in teaching mathematics. Specifically, this paper addressed how the KQ framework has been developed and employed in the context of research on teacher knowledge. In order to make the framework accessible, this paper analyzed an elementary school teacher's knowledge in teaching her fifth grade students how to figure out the area of a trapezoid using the four dimensions of the KQ (i.e., foundation, transformation, connection, and contingency). This paper is expected to provide mathematics educators with a basis of understanding the nature of teacher knowledge in teaching mathematics and to induce further detailed analyses of teacher knowledge using some dimensions of the KQ framework.

CERTAIN GRONWALL TYPE INEQUALITIES ASSOCIATED WITH RIEMANN-LIOUVILLE k- AND HADAMARD k-FRACTIONAL DERIVATIVES AND THEIR APPLICATIONS

  • Nisar, Kottakkaran Sooppy;Rahman, Gauhar;Choi, Junesang;Mubeen, Shahid;Arshad, Muhammad
    • East Asian mathematical journal
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    • v.34 no.3
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    • pp.249-263
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    • 2018
  • We aim to establish certain Gronwall type inequalities associated with Riemann-Liouville k- and Hadamard k-fractional derivatives. The results presented here are sure to be new and potentially useful, in particular, in analyzing dependence solutions of certain k-fractional differential equations of arbitrary real order with initial conditions. Some interesting special cases of our main results are also considered.

Mathematical Expressions and their Meanings in Lee Sang's Poetry (이상(李箱)의 시(詩)에 나타난 수학적 표현과 의미)

  • Shin, Kyunghee
    • Journal for History of Mathematics
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    • v.29 no.2
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    • pp.89-102
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    • 2016
  • Lee Sang, one of the representative poets of Korean Modern Poetry, wrote poems which present the existentialistic modernism in the 1920s, the chaotic era of Korean history. The characteristics of his works have been shown by various points of view. This paper especially explored the meaning and feature of mathematical expressions by numbers, symbols and other signs of mathematics in Lee's poems. His poems are composed by scientific and abstract rules in mathematics which are expressed as mathematical symbols. The paper focuses on analyzing seven poems which maximizes mathematical expressions among his poetry. This kind of work would be the one of ways to figure out the features of mathematics through literature.

A Case Study on the Men-tutoring Activities of Pre-Service Math Teacher (예비 수학교사의 멘·튜터링 활동에 관한 사례 연구)

  • Huh, Youjin;Ko, Ho Kyoung;Huh, Nan
    • East Asian mathematical journal
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    • v.37 no.2
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    • pp.197-221
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    • 2021
  • In this study, a men-tutoring model was applied to four second-year high school students in mathematics learning counseling that could cultivate cognitive and affective domains. By observing and analyzing the cases, we examined the effects of mathematics learning counseling on students' mathematical attitudes and self-regulated learning ability. The results of mentoring applied to mathematics learning counseling had a positive effect on reinforcing prerequisite learning, improving self-regulated learning ability, strengthening mathematical strategies, and inducing learning motivation and maintaining interest. We are looking forward to that men-tutoring can be used effectively for students who have difficulty learning mathematics.