• Title/Summary/Keyword: Elementary Mathematics Curricula

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Global Common Knowledge and Skills in Elementary Mathematics (국제 공통의 초등 수학 내용 요소 추출)

  • Choi, Jiseon;Sang, Kyongah
    • School Mathematics
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    • v.17 no.1
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    • pp.119-134
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    • 2015
  • The purpose of this study was to specify knowledge and skills that are expected to be learned by students worldwide at the elementary level of Mathematics. This was achieved by extracting knowledge and skills commonly expected to know and perform in elementary school level by analyzing elementary math curriculum of twelve countries that vary geographically and economically. Based on the data gathered and analyzed, the common domains extracted from this study in elementary level Mathematics include Number and Operations, Geometry, Measurement and Data. And knowledge and skills that children are expected to achieve in each domain by the end of primary school were listed. This research showed that for elementary level Mathematics, the majority of the curricula had the commonalities in Number and Operations, Geometry, Measurement and Data. Though this study had the limitations of analyzing curriculum documents open to public, this study will offer the ground for discussion on the elementary mathematics education in a global context.

Using Project-Based Learning Method As a Way to Engage Students in STEM Education

  • Lee, Mi Yeon;Robles, Rolando
    • Research in Mathematical Education
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    • v.22 no.2
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    • pp.83-97
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    • 2019
  • Science, Technology, Engineering, and Mathematics (STEM) education has been at the forefront of K-12 curricula in the technology-rich 21st century, with emphasis on how these fields reinforce each other in preparing students for a dynamic future. However, there is a need for greater attention to STEM education research in the mathematics education community, in particular to pedagogical approaches that facilitate integrating the mathematics component of STEM education. Toward this end, the authors report the outcomes of a Project-based Learning (PBL) unit in which upper elementary students integrated STEM elements by researching, crafting, testing, and evaluating kites they created by applying scientific knowledge of aerodynamics and mathematical knowledge of polygons, surface area, graphs, and data analysis. This unit, which the authors developed, implemented, and assessed, demonstrates how STEM subjects and in particular mathematics can be effectively integrated in upper elementary school classrooms through PBL.

An Analysis of Teaching Areas of Triangles and Quadrilaterals in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 나타난 삼각형과 사각형의 넓이 지도 방법에 대한 분석)

  • Kim, Shin-Young;Kang, Wan
    • Journal of Elementary Mathematics Education in Korea
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    • v.9 no.2
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    • pp.161-180
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    • 2005
  • The purpose of this study is to delve into how elementary mathematics textbooks deal with the areas of triangles and quadrilaterals from a viewpoint of the Didactic Transposition Theory. The following conclusion was derived about the teaching of the area concept: The area concept started to be taught perfectly in the 7th curricular textbook, and the focus of area teaching was placed on the area concept, since learners were gradually given opportunities to compare and measure areas. As to the area formulae of triangles and quadrilaterals, the following conclusions were made: First, the 1st curricular, the 2nd curricular and the 3rd curricular textbooks placed emphasis on transposition by textbooks, and the 4th curricular, the 5th curricular and the 6th curricular textbooks accentuated transposition by teachers. The 7th curricular textbooks put stress on knowledge construction by learners; Second, the focus of teaching shifted from a measurement of area to inducing learners to make area formula. Namely, the utilization of area formula itself was accentuated, while algorithm was emphasized in the past; Third, the way to encourage learners to produce area formula changed according to the curricula and in light of learners' level, but a wide range of teaching devices related to the area formulae were removed, which resulted in offering less learning chances to students; Fourth, what to teach about the areas of triangles and quadrilaterals was gradually polished up, and the 7th curricular textbooks removed one of the overlapped area formula of triangle.

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Teaching the Concept of Chance prior to Probability in Elementary School Mathematics (확률 개념을 위한 '가능성'의 지도 - 2009 개정 교육과정에 따른 초등학교 확률지도 방안 탐색-)

  • Chang, Hyewon
    • School Mathematics
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    • v.15 no.2
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    • pp.315-335
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    • 2013
  • Probability has distinctive characteristics which are different from other areas of school mathematics. The critical change can be noticed in the domain, 'probability and statistics' of 2009 revised national curriculum for elementary school mathematics. This indicates that the concept of chance is supposed to be taught in the 5~6 grade band instead of the definition of probability which is moved to the middle school level. The purpose of this study is to seek desirable methods for teaching the concept of chance which reflect the achievement criteria and the attention point for teaching and learning of the curriculum at the point of time when textbooks haven't yet been developed. To do this, based on theoretical considerations and comparative analysis of the curricula in the longitudinal - latitudinal dimensions respectively, the validity of the latest curriculum change was confirmed and several learning activities were devised. And then two lessons were planned for applying these activities to eight fifth graders and were implemented along the plan. As a result, the relevance of the learning activities was examined and students' difficulties in learning the concept of chance with educational implications were discussed.

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A Comparison Study of Curricular of Teacher Education for Elementary Teachers in South Korea and the United States: Focusing on Opportunities to Learn Teaching Mathematics (한미 초등 교사를 위한 교육과정 비교: 수학 교수의 학습 기회를 중심으로)

  • Kim, Yeon
    • Journal of Educational Research in Mathematics
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    • v.24 no.4
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    • pp.555-572
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    • 2014
  • Teacher preparation programs are responsible for preparing teachers to be able to perform their work with professional knowledge and skills. What opportunities to learn such knowledge and skills the programs intentionally develop for prospective teachers can be discerned by looking at the curriculum of teacher education. The purpose of this study is to find implications for the curriculum in elementary teacher education in South Korea, especially as that pertains to opportunities to learn teaching mathematics. This paper compares the curricula of 21 teacher preparation programs for elementary teachers in South Korea and in the United States. It finds that the programs in both countries emphasize teacher preparation to teach subject matter and to help elementary students improve their academic knowledge. The overall structures of the curriculums outlined in the programs of both countries are relatively comparable. In terms of the opportunities to learn teaching mathematics, however, they are quite different in what authentic contents they offer. This paper discusses the need for more emphasis on mathematical knowledge for teaching.

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A Study on Teaching-Learning Methods of Mathematics with Writing (쓰기를 활용한 수학과 교수-학습 방법에 관한 연구)

  • Nam Yoo-ra;Lim Mun Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.8 no.1
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    • pp.89-108
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    • 2004
  • Elementary mathematics education in the 7th mathematics curricula has been emphasized to foster ‘mathematical power’. For establishing this purpose, we need to provide the opportunities inducing to students' thoughts and to study leaching-learning methods to make structuring for their thinking process. Using to writing activities in students' mathematics learning, we think that we can find out their thinking process and this writing mathematics learning method is effective to promote their communication. Through analysing to six grade mathematics textbooks, we devised to mathematical writing types and teaching/learning models could being utilized in mathematics classes. And we investigated the influence of mathematical writing on the learning ability of students. We have experimented and investigated to after dividing experimental objects into two groups, experimental group and comparative group. We founded out, through these researches for mathematical writing teaming, that the experimental group of the former had obtained greatly better results than the latter in mathematical learning abilities and studying achievements. Based on these result, it is required to have an accumulation of research on teaching-teaming methods by using various types of mathematical writing study.

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A Comparative Study on the Similar Learning Contents between Elementary and Middle Schools in Geometry (기하 영역에서 초·중학교간 유사 학습내용에 대한 비교 분석 연구)

  • Suh, Bo Euk
    • Education of Primary School Mathematics
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    • v.23 no.1
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    • pp.27-44
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    • 2020
  • In this study, we extracted geometrical learning content that is treated similarly in elementary and middle schools, and analyzed the differences between how this study is handled in elementary and middle schools. The analysis tools used in this study were developed by referring to the research results presented by Merrill. Merrill classified the study results into two dimensions: 'performance level' and 'content type', and 'teach station' and 'proposal type' by presenting the contents in the textbook. Based on this classification, this study was conducted. According to the results of the study, nine achievement criteria were extracted as learning factors that were treated similarly in elementary and middle schools. The extracted learning elements were systematically analyzed through analysis tools. The results of this study are expected to provide significant implications for the improvement of mathematics learning and for the improvement of new curricula.

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.

What Feminist Mathematics Education tells to South Korea?

  • Kim, Rina
    • Research in Mathematical Education
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    • v.22 no.4
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    • pp.245-259
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    • 2019
  • I examine the discussions of studies related to feminist mathematics education and the implications of mathematics education in South Korea. In particular, I attempt to answer the following questions through literature reviews on feminist mathematics: What is the epistemological background of feminist mathematics education? How is feminist mathematics education defined and implemented? What does feminist mathematics education suggest in South Korea's mathematics curriculum? From the analysis of the literatures, I found that feminist mathematics education reflects not just the rights of female's rights but also a paradigm shift in epistemology of mathematics and philosophy of mathematics education. In this regard, feminist mathematics questions the existing mathematics education related to the female students who were marginalized in the composition and delivery of mathematics. Feminist mathematics education points out that in the course of the transfer of mathematical knowledge in schools, female students understand unilateral information procedurally without understanding the concept. Mathematics educators should consider alternative curricula that reflect the views of female students regarding the nature of mathematics. Students should be able to receive equal mathematics education in a school regardless of their gender. In this case, equal mathematics education refers to education methods that are suitable for both male and female students. The existing mathematics content and its teaching methods were designed based on the learning experiences of male students, which made them relatively difficult for female students to understand.

Designing Mathematics Curriculum Focusing on Continuity of Kindergarten and First Grade (유치원과 초등 1학년의 연계성을 강조한 수학과 교육과정의 구성 방안 연구)

  • Chang, Hyewon
    • Journal of Educational Research in Mathematics
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    • v.25 no.4
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    • pp.631-655
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    • 2015
  • Children's early mathematics education sets the tone for their later learning of mathematics. So the importance of early mathematics education has been emphasized day by day and there has been growing interest in it. The purpose of this study is to examine the possibility of including standards for kindergarten in mathematics curriculum and to select the specific content knowledge for designing mathematics curriculum focusing on continuity of kindergarten and first grade. To do this, continuity between kindergarten mathematics and the first grade mathematics were examined by investigating the five countries' mathematics curricula which include kindergarten level. Based on the results, the content standards of kindergarten mathematics were constituted in the categories of 'number and operation', 'geometry', 'measurement', 'pattern', and 'data and chance', following the some principles of selection. Finally, the implications for attainment of continuity between kindergarten and elementary mathematics were induced, containing the discussion of the methods for teaching and learning mathematics in the kindergarten level.