• Title/Summary/Keyword: 수학과 교과 내용학

Search Result 462, Processing Time 0.02 seconds

A Comparative analysis on the Fraction Contents of Korean, Japanese, Singaporean, American, and Finnish Mathematics Textbooks (한국, 일본, 싱가포르, 미국, 핀란드의 수학 교과서에 제시된 분수 지도 내용의 비교·분석)

  • Lee, Dae Hyun
    • Education of Primary School Mathematics
    • /
    • v.21 no.2
    • /
    • pp.111-130
    • /
    • 2018
  • In this study, I compared and analyzed the contents of Korean, Japanese, Singapore, American, and Finnish textbooks about fraction which is one of the important and difficult concepts in elementary school mathematics. This is aimed to get the implications for meaningful fractional teaching and learning by analyzing the advantages and disadvantages of the methods and time of introducing the concept because fraction has the diversity of the sub-concepts and the introducing methods or process. As a result of the analysis, the fraction was introduced as part-whole(area) in all five countries' textbooks, but the use of number line, conversion between improper fraction and mixed number, whether to deal with part-whole(set) model. Furthermore, there are differences in the methods in obtaining of the equivalent fraction and the order of arrangement in comparison of fraction. Through this analysis, we discussed the reconsideration of the introducing contexts of fractions, the use of number line when introducing fractions, and the problem of segmentation and classification of contents.

Comparative Analysis of Elementary Mathematics Textbooks in Korea and China: Focused on the area of Geometry (우리나라와 중국의 초등수학 교과서의 도형영역 비교.분석)

  • Yu, Jaehyuk;Lee, Daehyun
    • Education of Primary School Mathematics
    • /
    • v.16 no.1
    • /
    • pp.57-70
    • /
    • 2013
  • This study is aimed to compare the area of geometry of elementary mathematics textbooks in korea and china. Through this study, we would like to suggest some guidelines in order to develop geometric curriculum and textbooks in korea and to search for more efficient methods of learning mathematics. For this, we have looked through the general characteristics of geometry domain in mathematics curriculums and the textbooks in korea and china. Furthermore, we have found the similarities and differences while comparing specific contents in the two countries. The followings are the conclusions of this study. First, The mathematics curriculum in korea is divided into 'figure' domain, but the one in china is divided into 'space and figure' domain, which deals with figure and measurement. And china constructs the contents of the basic figure as a whole unit. Second, korea gives clear learning aims about contents whereas china gives learning activities. Lastly, when starting teaching a plain figure, korea focuses on checking and finding definitions and characters through fundamental figures. However, china focuses on figuring out components and the relations among them throughout various plain figure activities.

A Comparative Analysis of the Middle School Mathematics Textbooks Based on Third and Seventh Curriculum Period (3차 교육과정 시기와 7차 교육과정 시기의 중학교 수학과 교과서 비교분석)

  • Kim, Mi Soon;Cho, Wan Young
    • Communications of Mathematical Education
    • /
    • v.32 no.1
    • /
    • pp.79-96
    • /
    • 2018
  • The purpose of this study was to compare and analyze changes to the middle school mathematics textbooks of third mathematics curriculum period and seventh mathematics curriculum period. This study put the math curricula from the third to the sixth one in third mathematics curriculum period as those math curricula witnessed the maintenance of industrial society paradigm. And then it put the math curricula from the seventh one to current the 2009 revised mathematics curriculum in seventh mathematics curriculum period as the knowledge-based information society paradigm has continued throughout those math curricula. Based on those period categories, We compared and analyzed changes of the middle school math textbooks. For the comparison and analysis of math textbooks between the two periods, this study set the unit organization system, unit goal, task type and content development approach as analysis elements in the unit of 'Nature of Figures' in the second grade math textbooks for middle school. As a result of the research, it was confirmed that the textbooks of the two periods had many changes in the unit organization system, but the unit goal, task type, and content development approach stayed in low level goals and task type that require conceptual and procedural.

A Comparative Analysis of Ratio and Rate in Elementary Mathematics Textbooks (비와 비율에 대한 초등 수학 교과서 비교 분석)

  • Chang, Hyewon;Lim, Miin;Yu, Migyoung;Park, Haemin;Kim, Jusuk;Lee, Hwayoung
    • Journal of Elementary Mathematics Education in Korea
    • /
    • v.21 no.1
    • /
    • pp.135-160
    • /
    • 2017
  • Since mathematics textbooks for 6th graders based on the 2009 revised national curriculum were applied to the site, there has been a note pointing out that the unit of 'ratio and rate' causes some learning difficulties. This implies the necessity of search for desirable methods of organizing the unit of ratio and rate in mathematics textbooks. This study analyzed and compared Korean and foreign mathematics textbooks on ratio and rate longitudinally and horizontally, respectively. For longitudinal analysis, we selected the mathematics textbooks according to the national curriculum since the 5th one. For horizontal analysis, we took the mathematics textbooks of Japan, Singapore, Hong Kong, and Finland. In each textbook, the contents and the order in relation to ratio and rate, the definitions of terminology, and the methods for introducing related concepts are set as the analysis framework. The results of analysis revealed many characteristics and the differences in ways of dealing contents about ratio and rate. Based on these results, we suggested some implications for writing the unit of ratio and rate in elementary mathematics textbooks.

  • PDF

A Comparative Study on Mathematics Curriculums and Textbooks of Spatial Orientation in Elementary School Mathematics (초등학교 수학에서 공간 방향에 대한 교육과정과 교과서 비교)

  • Chong, Yeong Ok
    • School Mathematics
    • /
    • v.19 no.4
    • /
    • pp.663-690
    • /
    • 2017
  • The aim of this study is to look into the meaning and sub-factors of spatial orientation, compare and analyze mathematics curriculums and textbooks of several countries with respect to spatial orientation and offer suggestions to improve teaching spatial orientation in elementary school mathematics in Korea. In order to attain these purposes, this study examined the meaning and sub-factors of spatial orientation through the theoretical consideration regarding various studies on spatial sense. Based on such examination, this study compared and analyzed mathematics curriculums and textbooks used in South Korea, Singapore, Japan, China, Hong Kong, Finland, United States of America, and Germany with respect to contents of mathematics curriculum and textbooks in grades, sub-factors of spatial orientation, and contexts for spatial orientation. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching spatial orientation in elementary schools in Korea as follows: extending content of spatial orientation in mathematics curriculum, emphasizing spatial orientation across the several grades, especially in the upper grades, providing opportunities to learn the sub-factors of location, direction, coordinates, route, and distance variously, and utilizing various familiar and realistic contexts in the world around students.

An Analysis about Narrative of Weights and Measures in Korean Elementary Mathematics Textbooks (한국 초등수학 교과서의 도량형 서술 내용에 대한 분석)

  • Lee, Jong-hak;Jeon, Youngju
    • Journal of the Korean School Mathematics Society
    • /
    • v.22 no.3
    • /
    • pp.183-197
    • /
    • 2019
  • The purpose of this study is to support elementary teachers to use the teaching of weights and measures. To help the author of the next elementary mathematics textbook to be used as a reference for the quantitative narrative process. For this purpose, I focused on the contents of textbooks in terms of definition, a unit of measure, and calculation. As a result, first, as for the definition of weights and measures, it is taken as an example rather than as an explicit statement. Second, several problems were found in the metrology content and metric unit introduction order. Third, the computation between measurement units stood in simple computation rather than procedural knowledge. Fourth, it was concluded that the reason and groundbreaking of the grade-specific differences and the amount of a student's education are necessary.

An Contents Aanalysis of Number Sense for Elementary School Grade 1-2 (우리나라 초등학교 1-2학년 수학에서의 수 감각 지도 내용 분석)

  • Choi, Ji-Sun;Park, Kyo-Sik
    • Journal of Educational Research in Mathematics
    • /
    • v.19 no.4
    • /
    • pp.513-530
    • /
    • 2009
  • In this paper, We analyse the contents of the national mathematical curriculum, the handbook of the curriculum, and elementary school mathematics textbook for the elementary school grade 1-2 focusing on 'number sense'. At first, we identify the meaning and the elements of number sense through analysing studies which are related to number sense. Number sense includes understanding the meaning of number, operation, and estimation, and the ability of applying numbers, operation and estimation on the context. Number sense consists of the elements of the contents and the elements of the processes. Secondly, with the elements of number sense which we have identified, we analyse the contents of the national mathematical curriculum, the handbook of the curriculum, and elementary school mathematics textbooks, and then criticize the contents. We find some problems as a result of the analysis : the range of number sense is unclear, the word 'number sense' is not used consistently, the elements used are limited, and the contents of the textbook are materialized inconsistently and poorly.

  • PDF

Secondary Mathematics Teachers' Use of Mathematics Textbooks and Teachers' Guide (수학교사의 교과서 및 교사용 지도서 활용도 조사)

  • Kim, MinHyuk
    • School Mathematics
    • /
    • v.15 no.3
    • /
    • pp.503-531
    • /
    • 2013
  • This study aims to investigate how secondary mathematics teachers use mathematics curriculum materials such as textbooks and teachers' guide in planning lessons and for their learning. 24 in-service mathematics teachers participated in surveys and two among them were interviewed. The findings from the data analysis suggest that: a) the teachers actively engaged in decision-making processes of the transition from written curriculum to intended curriculum; and b) the teachers showed a tendency of consulting to the ideas suggested in the curriculum materials for selecting objectives and contents for lessons and the what to assess, not ideas for selecting teaching methods and how to assess. Also, various factors such as students' achievement, participation, interest in mathematics, family environment, and college entrance were identified to influence the teachers' use of the curriculum materials.

  • PDF

Research on mathematics teachers' knowledge (수학 교사의 지식 연구)

  • Lee, Joong Kwoen;Kim, Yong Ki
    • Journal of Educational Research in Mathematics
    • /
    • v.9 no.1
    • /
    • pp.311-319
    • /
    • 1999
  • 수학 교사의 지식은 교과내용 지식, 일반 교육학 지식, 교육학 내용 지식, 교육과정 지식, 학습자에 대한 지식, 교육적 내용에 관한 지식, 수학 교육 목표, 목적, 가치에 대한 지식으로 분류될 수 있다. 지금까지 이러한 수학 교사에 대한 지식 종류에 대한 학문적 연구는 뚜렷하게 체계적으로 연구되어지지 못하고 주로 저학년 학생 및 학습자 위주로 산발적인 연구가 진행되어 왔다. 수학교사가 지녀야할 지식은 수학 학습자인 학생들을 어떻게 효과적으로 가르치느냐에 가장 직접적인 영향을 미치는 것이므로 이에 따른 구체적인 조사 연구가 필요할 뿐만 아니라 교사교육 프로그램에 반영되어 효과적으로 능력있는 교사를 양성할 수 있도록 하여야겠다.

  • PDF

Comparison between the Contents of 'Management of Resource and Environment' Area in Home Economics Textbook and Those of Other Subject Textbooks of Middle School (중학교 기술$\cdot$가정 교과서의 '자원의 관리와 환경' 영역과 다른 교과의 교육내용 관련성 분석)

  • Kim Ji Ho;Lee Yon Suk
    • Journal of Korean Home Economics Education Association
    • /
    • v.17 no.1 s.35
    • /
    • pp.55-68
    • /
    • 2005
  • The purpose of this study was to compare the content of 'Management of Resource and Environment' area in middle school Home Economics textbook with other middle school subject textbooks. The middle school textbooks of Korean. Mathematics. Social Science. Science. Ethics. Technology. Arts. Music, and Physical Education were analyzed how the contents of these textbooks were similar to or different from those of 'Management of Resource and Environment' area in Home Economics textbooks. The contents of 8 subject textbooks except Music were related with those of 'Management of Resource and Environment' area in Home Economics textbooks. The content of Social Science was the most similar to 'Management of Resource and Environment' area in Home Economics textbooks although perspectives and focus were somewhat different. The unit of Home Economics textbook most related with contents of other subject textbooks was' Our Consumption Lives'. while 'Management of Time and Work for Adolescence' is the unit of Home Economics textbook least related with contents of other subject textbooks. However. similar contents were dealt with different focus and depth in textbooks according to objectives and characteristics of subject.

  • PDF