• Title/Summary/Keyword: 수학과 교과 내용학

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An Analysis on Conjecturing Tasks in Elementary School Mathematics Textbook: Focusing on Definitions and Properties of Quadrilaterals (초등 수학 4학년 교과서의 추측하기 과제 분석 : 사각형의 정의와 성질을 중심으로)

  • Park, JinHyeong
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.491-510
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    • 2017
  • This study analyzes on conjecturing tasks in elementary mathematics textbook. We adopted Peircean semiotic perspective and variation theory to analyze conjecturing tasks in elementary mathematics textbook. We specifically analyzed mathematical tasks designed to support students' inquiries into definitions and properties of quardrilaterals. As a result, we found that conjecturing tasks in textbooks do not focus on supporting students' diagrammatic reasoning and inductive verification on provisional abductions. These tasks were mainly designed to support students' conjecturing on commonalities of mathematical objects rather than differences between objects.

An Analysis of Improvement and Compilation Issues of Mathematics Textbooks for Elementary Schools: Focusing on the 2015 Revised Elementary School Mathematics Textbook Government Published (초등학교 수학 교과서 개선과 편찬 상의 이슈 분석: 2015 개정 초등학교 수학 국정 교과용 도서를 중심으로)

  • Lee, Hwa Young
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.411-431
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    • 2022
  • In this paper, implications for future curriculum compilation were sought by analyzing the process and results of compiling books for elementary school mathematics textbooks government published according to the 2015 revised curriculum. The 2015 revised elementary mathematics textbooks government published was operated with a systematic compilation system so that academia and school field experts across the country could demonstrate their expertise. As improvements in content, the unit and time to strengthen basic computational skills were increased, and the mathematical concept and principle introduction method and algorithm presentation method were improved, and the internal connection between contents was strengthened. The learning period was adjusted, such as moving and arranging contents that are difficult for students to understand to the upper semester or the upper grade. In the 1st and 2nd graders, the amount of reading was drastically reduced to suit the students' level of Korean, and sentences and vocabulary were improved, and instructions were briefly revised. As for editing and design improvements, illustrations of each unit's introduction and contextual pictures were presented in detail, and the characters in the textbook were consistently presented across all grades, giving children characters a role to actively participate in learning in the textbook. In the process of compiling, the media, the National Assembly, and civic groups raised opinions that sentences and vocabulary in first-year textbooks are more difficult than students' level of Hangeul education, that reducing textbooks makes it difficult for students to understand. Accordingly, efforts to improve textbook compilation and the results were viewed. Through the overall analysis as above, for future compilation of state-authored textbooks and certified textbooks, a plan to improve textbook compilation for students and teachers and a plan to operate compilation was proposed.

Features of Chinese Lower-grade Elementary Mathematics Textbooks in Contrast with Korea's (중국 초등학교 저학년 수학교과서의 특징)

  • Kim, Pan-Soo;Zhou, Wa;Hong, Gap-Ju
    • Journal of Educational Research in Mathematics
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    • v.20 no.3
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    • pp.241-254
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    • 2010
  • Under the consideration of Chinese math education tradition and new educational orientation, we compared and analyzed Korea and China's lower-grade elementary school textbooks. The result was that Chinese textbook puts much emphases on practice, skill and repetition, presents condensed contents, provides various learning contents simultaneously, rich humorous expressions, and a lot of implicit representations. From these results, we presented some implications for our mathematics education, future textbook writing, and the follow-up studies.

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Content analysis of education for sustainable development in elementary school mathematics textbooks (초등학교 수학 교과서에서의 지속가능발전 내용 분석)

  • Kim, JeongWon
    • The Mathematical Education
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    • v.60 no.2
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    • pp.173-190
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    • 2021
  • Education for Sustainable Development is an imperative mean to achieve the sustainable development which is the key idea that meets the needs of both present and succeeding generations by reconciling environmental protection, social development and economic growth. This study addressed the following question. First, what is the overall structure of the ESD contents presented in the textbooks? Second, How are the sub-contents of ESD distributed in the textbooks? Lastly, How are the ESD contents connected to mathematics in the textbooks? For this purpose, the contents in the elemtentary mathematics textbooks from 1st to 6th grades were analyzed at both macro and micro levels through quantitative and qualitative research methods. As results, contents related to environmental, social, and economic dimensions were presented from the first grade. The contents were involved the mathematics content domains of Numbers and Operations, Data and Possibilities, and Patterns. However, the contents were presented intensively in middle and high grades, and environmental topics accounted for a high proportion. Among the activities related to ESD, many were focused on solving problems mathematically while some were presented to solve problems as well as to consider sustainability through the activities. Based on the results, the study aims to provide implications for the direction of mathematics education for sustainable development in elementary school.

Pedagogical Content Knowledge in Mathematics Moderates the Effect of Mathematical Attitude on Mathematics Teaching Efficacy (영유아교사의 수학적 태도와 수학교수효능감의 관계에서 수학교과교육학지식의 조절효과)

  • Yoo, Seung Hee;Kim, Ji Hyun
    • Korean Journal of Child Education & Care
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    • v.17 no.3
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    • pp.49-63
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    • 2017
  • This study aims to investigate the effect of early childhood teachers' mathematical attitude on their mathematics teaching efficacy and to prove the moderating role of pedagogical content knowledge (PCK) in mathematics, which we selected based upon previous literatures. To explore the effect of early childhood teachers' mathematical attitude on their mathematics teaching efficacy and the moderating role of PCK in mathematics between them, This study randomly sampled 500 early childhood teachers who work at child care centers and kindergartens in Seoul, Kyunggi province and Kangwon province and collected their responses by questionnaires. Mathematics teaching efficacy was measured with mathematics teaching efficacy scale for early childhood teachers developed by Luo (2000) and translated by Jung (2001a). Mathematical attitude was measured with Smith (2000)'s scale which we translated for this study. To measure the pedagogical content knowledge in mathematics, we revised Hong(2012)'s scale to be applicable for early childhood teachers. Direct effect of mathematical attitude on mathematics teaching efficacy and the moderating effect of PCK in mathematics were analyzed by multiple regression analysis using IBM SPSS 21.0. Study results demonstrated the significant direct effect of mathematical attitude on mathematics teaching efficacy. Also, the moderating effect of PCK in mathematics was also proved to be significant. That is, if the teacher has high level of pedagogical content knowledge in mathematics, the positive effect of mathematical attitude on mathematics teaching efficacy was even more enhanced. This results supports the current finding where PCK in mathematics functions as a moderating variable between mathematical attitude and mathematics teaching efficacy. Thus, our study is expected to provide relevant contents that should be covered during teacher education, which aims to improve early childhood teachers' mathematics teaching efficacy.

An analysis on the degree of difficulty of domains through an assesment of 'Review Problem' (잘 공부했는지 알아보기'평가를 통한 영역별 난이도의 조사 분석 - 초등수학 5-나, 6-나 단계를 중심으로 -)

  • Ahn Byoung-Gon
    • Communications of Mathematical Education
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    • v.20 no.3 s.27
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    • pp.327-342
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    • 2006
  • For completion of 5-days per week system, elementary mathematics curriculum is expended to twice a month. According to the enrichment of Jae-Ryang and After School Activity, educational environment is being changed. These changes require preparations to minimize school hours. Therefore, it is needed to make better the quality, quantity and the techniques of mathematics instruction. In this study, after teaching the level 5-Na and 6-Na, the result of assessment in section An assesment of 'Review Problem' is used to analyze passing of each question. As categorizing them into each domains, this article gives help to elementary school teachers to judge learner difficulties level of domains through analyzing the quality of instructor.

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A Study on Classification of Teaching-Learning Materials in Mathematics Using Computers (교수-학습 자료 분류 체계화 연구 - 수학 교과 분류체계를 중심으로 -)

  • 황혜정;신항균
    • School Mathematics
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    • v.6 no.1
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    • pp.91-118
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    • 2004
  • Since 1998 year, many educational software and its contents have been developed by individuals and public institutes. However, it is not easy to re-use the contents effectively and consistently, because they should be changed and reorganized whenever a curriculum is changed. Therefore, it is important for each subject to establish new system in which the contents or their teaching-learning elements are not changed although new curriculum appears. In this respect, in last year(2003 year), while setting mathematics as a representative subject, KERIS executed a study on developing a system(or method) of classifying teaching-learning materials in mathematics using computers, based on future-oriented curriculum including the current mathematics curriculum. Finally, for this study, the most essential and basic teaching-teaming 'units' were developed and the total number of units were 339. Also, in addition to the development of 'units', the 'elements' were developed for understanding more concrete contents included in each 'unit' and the total number of elements were 1191.

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A Comparative Analysis of Time in Elementary Mathematics Textbooks (시각과 시간에 대한 우리나라 초등학교 수학 교과서 분석)

  • Nam, Jihyun;Chang, Hyewon
    • School Mathematics
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    • v.19 no.3
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    • pp.513-531
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    • 2017
  • This study aims to analyze and compare Korean mathematics textbooks on time and to induce its educational implications. Concretely, the mathematics textbooks from the 1st to the 2009 national revised curriculum were selected for the longitudinal analysis. In each textbook, the contents such as clock reading, units of time, and calculation of elapsed time among various contents about time were chosen. The learning elements and their teaching sequence, the teaching method (the introducing ways of each concept and principle), and the didactical representations are set as an analysis framework. The results of analysis revealed many characteristics and differences in ways of dealing contents about time. Based on these results, we suggested several implications for writing the unit of time in elementary mathematics textbooks and teaching about time in classrooms.

The Study on Transition of Mathematics Textbooks in North Korea -Focused on the contents of Fraction- (북한 수학 교과서 내용 변화에 대한 분석 - 분수 지도 내용 중심으로 -)

  • Park Moon-Hwan
    • School Mathematics
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    • v.8 no.2
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    • pp.139-160
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    • 2006
  • It seems that North Korea has been trying to reorganize its educational system as well as its economic system on a large scale since July 1, 2002. There has been a decrease in quantity of math textbooks by about 30% decrease. Until the 1990's, geometry and algebra had been kept apart from each other in North Korea, but they are put together now. Moreover many changes have been made in both contents and methods of teaching. For example, an area model is used in North Korea to teach operation of fraction, which makes the learning period shorter. This idea will provide us with many implication when we need to ready for decreasing the quantities in the future. Moreover teaching methods of division algorithms need to be reconsidered since the visual algorithm of division could help save the thinking in problem solving.

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A Note on Ratio and Similarity in Elementary-Middle School Mathematics (초.중등학교 수학에서 다루는 비와 닮음에 대한 고찰)

  • Kim, Heung-Ki
    • Journal of Educational Research in Mathematics
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    • v.19 no.1
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    • pp.1-24
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    • 2009
  • The applications of ratio and similarity have been in need of everyday life from ancient times. Euclid's elements Ⅴand Ⅵ cover ratio and similarity respectively. In this note, we have done a comparative analysis to button down the contents of ratio and similarity covered by the math text books used in Korea, Euclid's elements and the math text books used in Japan and America. As results, we can observe some differences between them. When math text books used in Korea introduce ratio, they presented it by showing examples unlike math text books used in America and Japan which present ratio by explaining the definition of it. In addition, in the text books used in Korea and Japan, the order of dealing with condition of similarity of triangles and the triangle proportionality is different from that of the text books used in America. Also, condition of similarity of triangles is used intuitively as postulate without any definition in text books used in Korea and Japan which is different from America's. The manner of teaching depending on the way of introducing learning contents and the order of presenting them can have great influence on student's understanding and application of the learning contents. For more desirable teaching in math it is better to provide text books dealing with various learning contents which consider student's diverse abilities rather than using current text books offering learning contents which are applied uniformly.

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