• Title/Summary/Keyword: 수학교육과 교육과정

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A Study about the Properties of Quadratic Functions and Classroom Implications from a Polynomial Perspective (다항식 관점에 의한 이차함수의 성질 탐구와 지도방안 탐색)

  • Cho, Cheong-Soo
    • Journal of the Korean School Mathematics Society
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    • v.9 no.2
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    • pp.121-139
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    • 2006
  • This study identified the problems of teaching quadratic functions using a translation and a vertex form by completing squares of which method make teaching contents not to be interconnected and tend to interfere students' conceptual understanding. This seems to generated from which the current mathematics curriculum is not organized to deliver the related contents of quadratic functions from polynomial expressions students have already known. To resolve it this study investigates the properties of quadratic functions from a polynomial perspective and discusses classroom implications with a couple of concrete applications.

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Inducing Irrational Numbers in Junior High School (중학교에서의 무리수 지도에 관하여)

  • Kim, Boo-Yoon;Chung, Young-Woo
    • Journal for History of Mathematics
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    • v.21 no.1
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    • pp.139-156
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    • 2008
  • We investigate the inducing method of irrational numbers in junior high school, under algebraic as well as geometric point of view. Also we study the treatment of irrational numbers in the 7th national curriculum. In fact, we discover that i) incommensurability as essential factor of concept of irrational numbers is not treated, and ii) the concept of irrational numbers is not smoothly interconnected to that of rational numbers. In order to understand relationally the incommensurability, we suggest the method for inducing irrational numbers using construction in junior high school.

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Reconsideration of the Teaching Contents and Methods of the Unit Fraction (단위분수의 지도 내용과 방법에 대한 재고)

  • Lee, Daehyun
    • Journal for History of Mathematics
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    • v.34 no.4
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    • pp.117-136
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    • 2021
  • The unit fraction is the basis of the fraction concept and has a role of starting point for understanding the fraction concept. In this study, in terms of the importance of the unit fraction, the teaching methods of the fraction based on the unit fraction were explored. First, it was examined the emerging contexts of the fraction concept and the diversity of its meanings. Second, it was investigated the contents of the unit fraction in Korean and CCSSM's curriculum and textbooks. Lastly, I suggested the teaching methods using the unit fraction in terms of the introduction of fraction, fractional operations, and teaching of problem solving based on the unit fraction.

A study on prospective elementary teachers' perception of elementary mathematics curriculum using IPA analysis (IPA 분석을 활용한 초등 수학과 교육과정에 대한 예비교사의 인식 조사 연구)

  • Kim Yunmin;Ryu Hyunah;Kim Chan-Gyun
    • East Asian mathematical journal
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    • v.40 no.2
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    • pp.267-286
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    • 2024
  • This study investigates the perceptions toward prospective elementary teachers regarding the revised 2015 elementary mathematics curriculum. The aim is to understand the importance and implementation of the revised curriculum and provide implications for curriculum improvement in elementary teacher education institutions, using Interpretative Phenomenological Analysis (IPA). The research findings are as follows: Firstly, prospective elementary teachers perceived that the areas of the revised 2015 elementary mathematics curriculum that require particular focus are number and operations and data and probability. Secondly, they identified the specific elements within these areas that demand dedicated attention as follows: numbers up to four digits in number and operations, mixed calculations with natural numbers, shapes of solid figures, spatial sense of solid figures, comparison of quantities in measurement, etc. These findings can inform the improvement of the curriculum in elementary teacher education institutions.

The Study on Didactic Transposition for Teaching Statistical Graphs - The comparison between the Korean and MiC's textbooks (그래프의 교수학적 변환 방식 비교 -우리나라 교과서와 MiC 교과서의 초등 통계 내용을 중심으로-)

  • Lee, Kyung-Hwa;Ji, Eun-Jeung
    • Journal of Educational Research in Mathematics
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    • v.18 no.3
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    • pp.353-372
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    • 2008
  • This study looks around the goals of teaching statistical graphs that are introduced in the seventh Korean Curriculum for Elementary School and in the Principles and Standards for School Mathematics(NCTM, 2000), and these are compared. We compare how to transpose statistical graphs didactically between the Korean and MiC textbooks. For it, it examines the types of statistical graphs, the methods defining them, and the making connections and comparing among them, which are content components in the chapters on statistical graphs. The results show that in contrast to the Korean textbooks, NCTM(2000) has allowed students to develop their own expression for data, to compare results analysed within different graphs, and to consider a graph as a whole in the goals of teaching statistical graphs. MiC textbooks have introduced the number-line plot and the box plot more than Korean. Although both of Korean and MiC textbooks usually use extensive methods for defining individual graphs, the former use extensive methods together with synonymic methods and the latter use extensive methods with the characteristics of graphs. Also, the number-line plot is defined using operative method in the MiC textbooks. MiC textbooks contain various activities for connecting and comparing graphs, but there are comparatively few comparing activities in the Korean textbooks.

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Analysis of students' understanding of equal sign through equal sign introduction lessons emphasizing their relational understanding (등호 도입 단원에서 관계적 이해를 강조한 수업에 따른 학생들의 이해 분석)

  • Lee, Yujin
    • Education of Primary School Mathematics
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    • v.27 no.1
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    • pp.39-55
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    • 2024
  • Recently, the 2022 revised mathematics curriculum has established achievement standards for equal sign and equality, and efforts have been made to examine teaching methods and student understanding of relational understanding of equal sign. In this context, this study conducted a lesson that emphasized relational understanding in an introduction to equal sign, and compared and analyzed the understanding of equal sign between the experimental group, which participated in the lesson emphasizing relational understanding and the control group, which participated in the standard lesson. For this purpose, two classes of students participated in this study, and the results were analyzed by administering pre- and post-tests on the understanding of equal sign. The results showed that students in the experimental group had significantly higher average scores than students in the control group in all areas of equation-structure, equal sign-definition, and equation-solving. In addition, when comparing the means of students by item, we found that there was a significant difference between the means of the control group and the experimental group in the items dealing with equal sign in the structure of 'a=b' and 'a+b=c+d', and that most of the students in the experimental group correctly answered 'sameness' as the meaning of equal sign, but there were still many responses that interpreted the equal sign as 'answer'. Based on these results, we discussed the implications for instruction that emphasizes relational understanding in equal sign introduction lessons.

An Analysis of Korean Teachers' Educational Development Cooperation: A Systemic Review (한국 교사의 국제 교육개발협력에 대한 연구 동향 분석: 체계적 문헌고찰)

  • Lee, Hyun-joo;Lee, Jounghee
    • The Journal of the Korea Contents Association
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    • v.18 no.10
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    • pp.320-334
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    • 2018
  • The purpose of this study is to analyze research trends in international development and cooperation on education and to suggest directions for the Korean teachers and teacher education to achieve 'Sustainable Development Goals (SDGs).' The examination of 8 databases resulted in the identification of 2,945 studies, and 6 of these references met the inclusion criteria for systemic review. Major findings revealed that pre- and in-service teachers recognized the necessity of international development education but had a low degree of teacher efficacy. The teachers who participated in ODA education programs have experienced difficulties due to insufficient understanding of local sites and role performance. Then, a couple of studies of mathematics and early childhood education compared the Korean national curriculum and education system with developing countries'. Lastly, it is important to have a sustainable system which promotes all teachers, including retired ones, in global development and cooperation on education. For the successful achievement of SDGs, Korean teachers should develop their expertise, a deep understanding of partner countries, and stable quality education for the underprivileged.

A Study on the Effects of the Peer Tutoring on Mathematical Inclination And Mathematical Communication Ability of Peer Tutors (또래교수가 또래교사의 수학적 성향과 수학적 의사소통능력에 미치는 영향)

  • Jung, Mi-Jin;Kwon, Sung-Yong
    • School Mathematics
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    • v.13 no.1
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    • pp.127-153
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    • 2011
  • The purpose of this study was to investigate the effect of peer tutoring on mathematical inclination and mathematical communication ability of peer tutor. For the purpose of this study, research questions were established as follows: 1. How does peer tutoring affect to the mathematical inclination of peer tutors? 2. How does peer tutoring affect to the mathematical communication ability of peer tutors? To answer the research questions, four 5th grade peer tutors were selected for qualitative case study in an elementary school located in Goyang-si, Gyeonggi-do. Before and after 11 weeks of peer tutoring in their mathematics classes, mathematical inclination, mathematical communication ability of peer tutors were examined. For qualitative analysis, peer tutors were asked to complete worksheets, self-evaluation, journal for their peer tutoring in daily basis during the experiment. By comparing the scores in mathematical inclination test and mathematical communication test before and after the treatment and analyzing the data gathered for qualitative analysis, the conclusions were drawn as follows: First, Peer tutoring has positive effects on the mathematical inclination of peer tutors. Scores for mathematical inclination of peer tutors after the treatment increased and qualitative analysis showed positive change in their attitude toward mathematics. Second, Peer tutoring has positive effects on the mathematical communication ability of peer tutors. Scores in the performance assessment for mathematical communication ability of peer tutors after the treatment increased. Also qualitative analysis showed that peer tutors tried to develop various ways to solve a problem and explained them to their peer tutee sophisticatedly.

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Improvement Study abroad School Safety Analysis (국내외 학교안전 실태분석을 통한 개선방안 연구)

  • Kim, Teahwan
    • Journal of the Society of Disaster Information
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    • v.11 no.3
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    • pp.385-392
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    • 2015
  • In hosting outdoor activities and school trips, safety issues are gaining serious attention lately. In addition to Sewol ferry tragedy and an incident at Kyungjoo Mauna Resort, there have been grown problems related to this crucial factor. This research analyzes negligent accidents occurred from domestic and foreign schools and aims to provide effective safety education and policy through comparative analysis between domestic and foreign cases. We mainly relied on documents such as newspapers, internet articles and legal papers to investigate cases and cooperated with relevant government departments for collecting references and setting agenda for safety supervision. The analysis on both domestic and foreign cases revealed that students abroad receive opportunities for first-hand experience regarding safety and systematic education, as safety maintenance is prioritized. Based on this culture, safety education should be habituated domestically, while participatory safety programs that students can actively involve must also be devised. Moreover, through preparation of entertaining contents such as SNS game programs, skits and activities employing multiple facilities and vehicles at school safety education, we must induce students to actively participate in the program with interests.

An Analysis of Representation Usage Ability and Characteristics in Solving Math Problems According to Students' Academic Achievement (수학 문제 해결에서 학업성취도에 따른 표상 활용 능력과 특징 분석)

  • Kim, Min-Kyung;Kwean, Hyuk-Jin
    • Communications of Mathematical Education
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    • v.24 no.2
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    • pp.475-502
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    • 2010
  • In this paper, the ability to use mathematical representations in solving math problem was analyzed according to student assessment levels using 113 first-year high school students, and the characteristics of their representation usage according to student assessment levels were also examined. For this purpose, problems were presented that could be solved using various mathematical representations, and the students were asked to solve them using a maximum of three different methods. Also, based on the comparative analysis results of a paper evaluation, six students were selected and interviewed, and the reasons for their representation usage differences were analyzed according to their student assessment levels. The results of the analysis show that over 50% of high ranking students used two or more representations in all questions to solve problems, but with middle ranking students, there were deviations depending on the difficulty of the questions. Low ranking students failed to use representation in diverse ways when solving problems. As for characteristics of symbol usage, high ranking students preferred using formulas and used mathematical representations efficiently while solving problems. In contrast, middle and low ranking students mostly used tables or pictures. Even when using the same representations, high ranking students' representations were expressed in a more structurally refined manner than those by middle and low ranking students.