• Title/Summary/Keyword: spatial sense of solid figures

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Teaching Spatial Sense of Solid Figures in Elementary School Mathematics (입체도형의 공간 감각 지도에 관한 논의)

  • Chong, Yeong Ok
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.1
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    • pp.161-194
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    • 2017
  • The aim of this study is to look into sub-factors of spatial sense that can be contained in spatial sense of solid figure of mathematics curriculum and offer suggestions to improve teaching spatial sense of solid figures in the future. In order to attain these purposes, this study examined the meaning and sub-factors of spatial sense and the relations between spatial sense of solid figure and sub-factors of spatial sense through a theoretical consideration regarding various studies on spatial sense. Based on such examination, this study compared and analyzed textbooks used in South Korea, Finland and the Netherlands with respect to contents of mathematics curriculum and textbooks in grades, sub-factors of spatial sense, and realistic contexts for spatial sense of solid figure. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching spatial sense of solid figures in elementary schools in Korea as follows: extending contents regarding spatial sense of solid figures in mathematics curriculum and considering continuity between grades in textbooks, emphasizing spatial orientation as well as spatial visualization, underlining not only construction with blocks but also mental activities in mental rotation and mental transformation, comparing strength and weakness of diverse plane representations of three dimensional objects, and utilizing various realistic situations and objects in space.

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An Analysis of Elementary Mathematics Textbooks on Three-Dimensional Figures (입체도형에 관한 초등학교 수학 교과서 분석)

  • Pang, Jeong-Suk;Hwang, Hyun-Mi
    • Journal of the Korean School Mathematics Society
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    • v.13 no.4
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    • pp.549-568
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    • 2010
  • This paper analyzed the topics dealing with three-dimensional figures in most recently revised mathematics textbooks on the basis of the national mathematics curriculum announced in 2007. First, the overall content was analyzed with regard to how textbooks were aligned to the curriculum as well as how the main elements including the definitions of specific solid figures were introduced and developed in different units across grades. Second, the instructional methods of three-dimensional figures were analyzed, which specifically revealed the lack of inquiry phase before introducing cones and pyramids. Third, the instructional methods to foster students' spatial sense with solid figures were analyzed, which showed the increased focus on the prediction and representation of figures. It is expected that the issues and suggestions from this study are informative revising curricular materials and applying them to the classroom.

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The Effects of Using the Geometric Manipulative for the Development of Spatial Sense (기하 교구의 활용이 공간 지각 능력에 미치는 영향)

  • Park, Man-Goo;ChoiKoh, Sang-Sook;Jung, In-Chul;Kim, Eun-Young
    • Journal of the Korean School Mathematics Society
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    • v.13 no.2
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    • pp.303-322
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    • 2010
  • The purpose of this study was to analyze the effects of using the geometric manipulative for the development of spatial sense and thus to find out a better mathematics teaching and learning method that could help develop students' spatial senses. The two fifth grade classes were randomly chosen as an experimental group (31 students) and a control group (32 students), respectively. This study implemented nonequivalent control group pretest-posttest design of quasi-experimental design. The test instrument used in this study was a spatial sense test. The pretest and posttest were implemented with the same instrument. In addition, their classes were observed and videotaped, and the data and their study activities were analyzed. In conclusion, first, the geometric manipulative-aided activities contributes to developing students' spatial senses and their two sub-factors involves perceptual consistency and perception of spatial relationship. Second, the activities of grasping the components of solid figures, sketches and development figures by using the geometric manipulative contribute to boost students' perceptual consistencies and their perceptions of spatial relationship.

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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 Effects of 4D-Frame Teaching upon Mathematically Gifted Elementary Students' Mathematical Creativity and Spatial Sense (4D 프레임 활용 학습이 초등 수학영재학생의 공간감각 및 수학적 창의성에 미치는 영향)

  • Lee, Ju Yong;Choi, Jae Ho
    • Education of Primary School Mathematics
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    • v.16 no.1
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    • pp.1-20
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    • 2013
  • The aim of this study was to develop a gifted educational program in math-gifted class in elementary school using recently developed 4D-frame. This study identified how this program impacted on spatial sense and mathematical creativity for mathematically gifted students. The investigation attempted to contribute to the developments for the gifted educational program. To achieve the aim, the study analysed the 5 and 6th graders' figure learning contents from a revised version of the 2007 national curriculum. According to this analysis, twelve learning sections were developed on the basis of 4D-frame in the math-gifted educational program. The results of the study is as follows. First, a learning program using 4D-frame for spatial sense from mathematically gifted elementary school students was statistically significant. A sub-factor of spatial visualization called mental rotation and sub-factors of spatial orientations such as sense of distance and sense of spatial perception were statistically significant. Second, the learning program that uses 4D-frame for mathematical creativity was statistically significant. The sub-factors of mathematical creativity such as fluency, flexibility and originality were all statistically significant. Third, the manipulation properties of 4D-frame helped to understand the characteristics of various solid figures. Through the math discussions in the class, participants' error correction was promoted. The advantage of 4D-frame including easier manipulation helped participants' originality for their own sculpture. In summary, this found that the learning program using 4D-frame attributed to improve the spatial sense and mathematical creativity for mathematically gifted students in elementary school. These results indicated that the writers' learning program will help to develop the programs for the gifted education program in the future.