• Title/Summary/Keyword: 수학영역

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The effects of peer tutoring on the mathematics learning achievements and affective domain by meta-analysis (메타분석을 통한 또래교수 수업이 수학 학업성취도와 정의적 영역에 미치는 효과)

  • Jo, Chang Ho;Choi, Song-Hee;Kim, Dong-Joong
    • The Mathematical Education
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    • v.60 no.1
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    • pp.41-59
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    • 2021
  • The purpose of this study is to synthesize a comprehensive and general conclusion about the effects of mathematics classes using peer tutoring on the cognitive (mathematics learning achievement) and affective domains. For this purpose, a total of 61 individual studies were meta-analyzed in this study to calculate the effect size, measuring the strength of the relationship between mathematics classes using peer tutoring and either the cognitive or affective domain. As a result of this study, it was confirmed that mathematics classes using peer tutoring generally have a medium effect size in both cognitive and affective domains. Also, it was found that level of school, type of student, learning location, class time, tutor education or prior training are significant variables that affect the impact of mathematics classes using peer tutoring on the cognitive and affective domains. These results suggest specific ideas on how to design and operate peer tutoring in school mathematics classes on the basis of different variables.

College Students' Conceptions of Mathematics: A Comparison of Korean Students and American Students (대학생의 수학 개념: 한국 학생과 미국 학생의 비교)

  • JKang, Ok Ki
    • Journal of Educational Research in Mathematics
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    • v.13 no.1
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    • pp.1-12
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    • 2003
  • 이 논문은 수학적 개념의 뜻과 과 중요성을 살펴본 다음, 연구자가 소속되어 있는 한국의 대학생과 연구자가 연구년 동안 강의한 바 있는 미국의 대학생이 갖고 있는 수학적 개념의 수준에 대하여 조사하여 보고, 그 차이점을 비교하여 수학교육의 개선을 위한 시사점을 찾아보고자 하였다. 본 연구는 수학적 개념을 수학적 지식의 구성, 수학적 지식의 구조, 수학적 지식의 현상, 수학을 행하기, 수학적 아이디어의 가치 인식, 구성으로서의 학습, 유용한 노력으로서의 수학으로 분류하고 각 개념에 대한 양국 학생들의 인식 정도를 설문조사 방식으로 조사하였다. 본 연구에서 한국 학생들은 수학적 개념에 대한 7개의 영역 중에서 '수학적 지시의 현상', '수학을 행하기'를 제외한 5개의 영역에서 더 높은 수준을 보였다. 앞으로 한국의 수학교육은 수학을 실제로 행하는 활동을 더욱 강조하여야 할 것이다.

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Development of a Three-Dimensional Analytical Framework for Analyzing Chemistry I Questions on the CSAT and Analysis of Chemistry I Questions (대학수학능력시험 화학 I 문항 분석을 위한 3차원 분석틀 개발과 화학 I 문항 분석)

  • Jihun Park;Sunhyang Park;Jeonghee Nam
    • Journal of the Korean Chemical Society
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    • v.68 no.1
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    • pp.40-53
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    • 2024
  • The study investigates the number and proportion of questions in each area by examining Chemistry I questions from the College Scholastic Ability Test from 2019 to 2022. The analysis was conducted using a three-dimensional framework that included key concepts in chemistry, behavioral domains in chemistry, and behavioral domains in mathematics. The results indicated that Chemistry I questions on the College Scholastic Ability Test had a relatively even distribution of questions across core individual topics, but highly difficult questions were predominantly biased toward stoichiometry. In terms of the behavioral domains in chemistry, there was a remarkably low proportion of questions related to problem recognition and hypothesis establishment, as well as designing research and implementing research. Conversely, highly difficult questions were more inclined towards drawing conclusions and evaluations. Regarding behavioral domains in mathematics, there was a limited number of questions addressing heuristic reasoning and deductive reasoning. On the other hand, high-difficulty questions favored internal problem-solving ability. Additionally, certain key concepts in chemistry and behavioral domains in chemistry exhibited a strong correlation with specific behavioral domains in mathematics. This characteristic was particularly evident in questions that encompassed higher-dimensional behavioral domains in mathematics, which students tend to find challenging.

Historic Paradoxes of Probability and Statistics Usable in School Mathematics (학교 수학에 활용 가능한 확률.통계 영역에서의 역사적 패러독스)

  • Lee, Jong-Hak
    • Journal for History of Mathematics
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    • v.24 no.4
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    • pp.119-141
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    • 2011
  • This paper analysed the mathematical paradoxes which would be based in the probability and statistics. Teachers need to endeavor various data in order to lead student's interest. This paper says mathematical paradoxes in mathematics education makes student have interest and concern when they study mathematics. So, teachers will recognize the need and efficiency of class for using mathematical Paradoxes, students will be promoted to study mathematics by having interest and concern. These study can show the value of paradoxes in the concept of probability and statistics, and illuminate the concept being taught in classroom. Consequently, mathematical paradoxes in mathematics education can be used efficient studying tool.

대수적인 관점에서의 수와 연산

  • Choe, Chang-U
    • Communications of Mathematical Education
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    • v.11
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    • pp.71-83
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    • 2001
  • 80년대 후반부터 90년대 중반까지 NCTM을 비롯한 여러 수학교육 관련 기관 단체에서는 많은 규준(standards)들을 내 놓았다. 그 내용은 대체적으로 어떠한 수학을 어린이들이 학습해야할지, 교실 수업은 어떠한 모습으로 이루어져야하며, 어린이들이 수행하는 것과 수학프로그램들의 효율성을 판단하고 평가하기 위해 어떠한 지침이 사용될 수 있는지에 대한 권고 사항들로 이루어져 있다고 볼 수 있다. 본 고에서는 이러한 규준들의 내용 중 수 와 연산 영역에서 제시된 규준들을 토대로 우리의 7차 교육과정과 관련지어 알아보고 아울러 대수적인 관점에서 이 영역을 지도하는데 있어서 몇 가지 간과하기 쉬운 유의점(교사의 관점에서)들을 살펴보았다.

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An Analysis of Mathematical Modeling in the 3rd and 4th Grade Elementary Mathematics Textbooks (수학과 교육과정의 변화에 따른 초등학교 3,4학년 교과서의 수학적 모델링 관련 제시 방법 분석)

  • Jung, Seongyo;Park, Mangoo
    • Journal of the Korean School Mathematics Society
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    • v.19 no.1
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    • pp.103-122
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    • 2016
  • The purpose of this study was to analyze the sentences related with mathematical modeling in the third and fourth grade mathematics textbooks in accordance with changing of Korean mathematics curricula. In the preliminary analysis, the researchers used the criteria that Kim(2010) had analyzed Mathematics in Context[MiC], and analyzed South Korean textbooks from the perspective of mathematical modeling. The researchers revised them for the analysis criteria among South Korean elementary mathematics textbooks and employed them as the analysis framework of the present study. From the mathematical modeling perspective, the study reached the following conclusions in accordance with the change of textbooks from the 7th curriculum to the 2009 revised curriculum. The contexts of real-world situations presented in the textbooks are increased in all areas except Probability and Statistics areas, the methods of expression of mathematical model are diversified in all areas except Patterns area, and the communication types are also diversified and frequencies increased in all areas except Patterns area. Based on this research, several suggestions were made for the development of future textbooks.

Exploring the direction of mathematics education to improve the affective achievement of students (학생의 정의적 성취 신장을 위한 수학교육 개선 방향 탐색)

  • Lee, Hwayoung;Ko, Ho Kyoung;Park, Ji Hyun;Oh, Se Jun;Lim, Miin
    • The Mathematical Education
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    • v.61 no.4
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    • pp.631-651
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    • 2022
  • It has been alerted that Korean students' mathematical affective achievement is very low. In order to solve this problem, various policies related to mathematical affective domains have been promoted, but it is necessary to examine various existing policies and explore the direction for improving them in more essential aspects. Based on previous studies that the growth mindset helps to increase students' affective achievement, this study focused on improving students' math-related growth mindset and ultimately exploring policies that can increase mathematical affective achievement. Therefore, the current status of mathematical affective achievement of Korean students was examined, and the policies and related cases in the mathematical affective domain were investigated. Based on the results, some keywords were derived and then the directions of policy for improving the math-related growth mindset and the affective achievement of students were suggested.

A Comparative Analysis of School Mathematics Curricula in Korea, China, Japan, and USA (한국·중국·일본·미국의 초등학교 수학과 교육과정 비교·분석 -도형 영역을 중심으로-)

  • Pang, JeongSuk;Lee, Ji-young;Lee, Sang Mi;Park, Youngeun;Kim, SuKyoung;Choi, InYoung;SunWoo, Jin
    • Journal of the Korean School Mathematics Society
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    • v.18 no.3
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    • pp.311-334
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    • 2015
  • This study compares and contrasts elementary mathematics curricula of Korea, China, Japan, and USA, as a part of efforts to compose contents of global elementary mathematics. This paper analyzed the similarities and the differences of mathematical contents in the domain of geometry. On the basis of this comparative analysis, this paper included implications that are expected to be informative in the revision of the Korean mathematics curriculum.

Analysis of Prospective Teachers' Mathematical Content Knowledge about Differential area (예비교사의 미분영역에 관한 내용지식의 분석)

  • Cho, Wan-Young
    • School Mathematics
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    • v.14 no.2
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    • pp.233-253
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    • 2012
  • The purpose of the study investigate mathematics content knowledge(MCK) of prospective teachers in differential area. 70 prospective teachers were asked to perform six questions based on Cho's MCK (2010, 2011). The results show that depending on whether they experience any teacher education program, the level of prospective teachers' mathematics content knowledge may vary. In particular, prospective teachers struggled with an unfamiliar problem situations. We also found that prospective mathematics teachers have some difficulty in solving problem about the use of mean value theorem and derivative.

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A study on the Content Domains of the College Scholastic Ability Test Mathematics (대학수학능력시험 수학 영역의 내용 영역에 대한 고찰)

  • Cho, Seongmin;Kim, Jaehong;Choi, Jiseon;Choi, Inseon
    • Communications of Mathematical Education
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    • v.28 no.2
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    • pp.195-217
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    • 2014
  • The College Scholastic Ability Test(CSAT) is the Korean national university examination based on the national curriculum. The CSAT is a high-stakes test because of powerful social forces which the college admission system has in Korea. This examination has changed many times through not only the national curriculum revision but also various external factors including the normalization of public education, mitigating the burden of students, etc. This study analysis the changes of assessment contents of the Mathematics of the CSAT due to the national curriculum revision. Additionally, this study analysis the mathematics content domains of the college entrance examinations in some foreign countries. Based on the result of this analysis, this study will derive implications for improvement directions of the Mathematics of the CSAT.