• Title/Summary/Keyword: basic mathematical concepts and skills

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A Survey on the Comprehension of Basic Knowledge of Mathematics of $6^{th}$ Graders in Elementary School By Essay Test (서술형 평가를 통한 초등학교 6학년 학생들의 수학과 기본 지식 이해에 관한 실태조사)

  • Park, Gum-Ran;Pang, Jeong-Suk
    • The Mathematical Education
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    • v.47 no.2
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    • pp.181-195
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    • 2008
  • The purpose of this study was to investigate the understanding of basic knowledge of mathematics for $6^{th}$ grade students in elementary school by an essay test and provide instructional suggestions for teachers. A total of 132 students from 6 classes in 3 elementary schools were tested and analyzed in terms of the characteristics of correct answers and types of incorrect answers. The results showed that students had poor understanding of basic conceptual concepts and principles throughout six content areas of school mathematics curriculum, despite their good performance on mathematical skills. This study included implications to teaching and learning for each of the content areas.

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An Analysis of Activities and Contents in Nuri Curriculum Teaching Guidebooks for Mathematical Education for Three to Five (3, 4, 5세 누리과정 교사용 지도서의 수학활동 분석)

  • Cho, Boo Wall
    • Korean Journal of Child Studies
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    • v.35 no.2
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    • pp.137-156
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    • 2014
  • The purpose of this study was to better understand the tendencies and general distributive features of mathematical educational activities which are presented in the Nuri Curriculum Teaching Guidebooks. This was done by analysis of 628 mathematical activities suggested in those guidebooks, the total number of which was thirty-two. The results of this study can be summarized as follows: First, the number of activities for mathematical education was 204 for the age of three, 223 for the age of four, and 201 for the age of five. Second, these mathematical educational activities are aimed mainly for developing positive attitudes toward mathematics rather than the delivery of mathematical knowledge and skills. Third, the number of activities for developing mathematical inquiry skills was greater than that of activities for developing of inquiry attitudes. Furthermore, the characteristic of understanding the basic concepts of space and figures can be found most frequently in five kinds of activities for mathematical inquiry. Last, the activities for mathematical education are more frequently found in free choice activities rather than group activities. The results of this study also suggest that checking the current status of mathematical education for young children and the Nuri Curriculum Teaching Guidebooks can be utilized for creating teachers' manuals.

The Dynamic Assessment for Lower Grades of Primary School (초등학교 저학년 수학교육에서의 역동적 평가 방안 탐색)

  • Lee, Bong-Ju
    • The Mathematical Education
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    • v.50 no.1
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    • pp.13-25
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    • 2011
  • The Goals of mathematics education for the lower grades of primary school is to shape the basic concepts and the skills of mathematics. To achieve this goal, it is necessary an assessment which is able to help the students' learning activities by precisely diagnosing their basic mathematical capability. It should lend the students an assistance in diagnosing and revising their problems throughout teacher's cognitive participation in the process of mathematical problem solving. I would like to suggest the dynamic assessment as one of these kinds of approaches. In order to prove the utilities of this way, it was examined the necessity of dynamic assessment on the basis of the Vygotsky's theory after looking into the characteristics of the contents and methods of the mathematics education for the lower grades of primary school. Next, I researched the principles of the dynamic assessment and embodied the assessment tool to evaluate the mathematical achievement of the lower grades of the primary school. Lastly, it was provided the examples of the dynamic assessment tool in order to assist the practice of it.

Using Calculators in Mathematics Education in Koran Elementary Schools

  • Ahn, Byoung-Gon
    • Research in Mathematical Education
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    • v.5 no.2
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    • pp.107-118
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    • 2001
  • Mathematics subject of the seventh national curriculum in Korea, which has been effective since 2000, strongly encourages the use of calculators and computers to help children gain a better understanding of basic mathematical concepts and develop creative thinking and problem-solving skills without spending too much time and effort on making mechanical computations. Despite the recommendation by the national curriculum, however, only a small segment of elementary school teachers have been using calculators because of the fear that children\\`s dependence on calculators might bring about negative consequences. As a result, little research has been conducted in this area as well. This study has been conducted on the assumption that calculators have the potential for being a useful instructional tool in certain areas of elementary school mathematics education. To investigate the usefulness of calculators, a review was made of the scanty literature in the area. The literature review indicated that calculators are effective when they are used for the following purposes: understanding concepts and properties in numbers and operations, deducing mathematical rules, and solving problems. In view of the available research finding, we will give some concrete learning and teaching models of such uses of calculators. The teaching-learning models are organized around three categories: concept formation, discovery of principles and rules, and problem solving. Such organization is intended to help teachers use the models with ease.

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EXISTENCE OF SOLUTION OF DIFFERENTIAL EQUATION VIA FIXED POINT IN COMPLEX VALUED b-METRIC SPACES

  • Mebawondu, A.A.;Abass, H.A.;Aibinu, M.O.;Narain, O.K.
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.2
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    • pp.303-322
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    • 2021
  • The concepts of new classes of mappings are introduced in the spaces which are more general space than the usual metric spaces. The existence and uniqueness of common fixed points and fixed point results are established in the setting of complete complex valued b-metric spaces. An illustration is given by establishing the existence of solution of periodic differential equations in the framework of a complete complex valued b-metric spaces.

Analysis of Number System introduced in the 7th National Mathematics Curriculum and Mathematics Text Books of Korea (제 7차 수학과 교육과정과 교과서에 제시된 수 체계 도입에 관한 연구)

  • 김흥기
    • The Mathematical Education
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    • v.42 no.3
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    • pp.265-274
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    • 2003
  • To learn number system is a basic thing in school mathematics. In this paper, we analyze how number system is introduced in the 7th national curriculum and text books according to it. We found that the method of introducing number system is quite different from the former curriculum and former text books. There are many negative effects on the transition when compared with those of United States of America. There are many gaps between elementary school mathematics and middle school mathematics about levels and skills to deal with numbers. It is desirable to distinguish the negative sign from subtraction and to keep the concepts of commutativity and associativity of operations from the beginning. We also suggest to change the introducing timing and extension methods of number system in 7th grade mathematics.

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A Study on the Instructional Model utilizing Scratch for Introductory Programming Classes of SW-Major Students (SW전공자 프로그래밍 입문 수업의 스크래치 활용 수업 모형 연구)

  • KO, Kwangil
    • Convergence Security Journal
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    • v.18 no.2
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    • pp.59-67
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    • 2018
  • The programming language is a core education area of software that is becoming increasingly important in the age of the fourth industrial revolution, but it requires mathematical knowledge and logical thinking skills, so that many local private university and college students with low basic skills are having difficulties learning it. This problem occasionally causes SW-major students to lose interest and confidence in their majors during the introductory course of programming languages; making them change their majors, or give up their studies. In this study, we designed an instructional model using Scratch for educating C-language which is a typical programming introductory language. To do this, we analyzed the concepts that can be trained by Scratch among the programming concepts supported by C-language, and developed the examples of Scratch for exercising the concepts. In addition, we designed an instructional model, by which the programming concepts are first learned through Scratch and then C-language is taught, and conducted an experiment on the SW-major freshman students of a local private university to verify the effectiveness of the model. In the situation where SW education is becoming common, we expect that this study will help programming language education of security IT students.

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Teaching Addition and Subtraction with Reduction in Elementary Mathematics Textbooks (수학 교과서에 나타난 계산 지도 방법의 변화 - 두 자리 수의 덧셈과 뺄셈)

  • Kang Wan
    • Journal of Elementary Mathematics Education in Korea
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    • v.4 no.1
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    • pp.21-37
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    • 2000
  • Although methods about teaching basic principles and skills of addition and subtraction is long traditional, view points of interpreting those algorithms and ways of introducing those calculating skills are various according to textbooks at each historical stage of elementary mathematics curriculum development in Korea. The 1st and 2nd stage shows didactic transpositions less systemic. In the 3rd and 4th stage, didactic devices, which were influenced by the new math, for help of understanding the principles of addition and subtraction muchly depends on mathematical and logical mechanism rather than psychological and intellectual structure of students who learn those algorithms. Relatively compromising and stable forms appear in the 5th and 6th stages. Didactic transpositions in the 7th stage focus on the formation of mathematical concepts by exploration activities rather than on the presentation of mathematical contents by text. Anyone who wishes to design an elementary mathematics textbooks based upon the constructive view should consider the suggestions derived from such transition.

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The Effects of STEAM Program on the Scientific Communication Skills and the Learning Flow of Elementary Gifted Students (STEAM 프로그램이 초등영재학생의 과학적 의사소통능력과 학습몰입에 미치는 영향)

  • Bak, Aerina;Kim, Yong Kwon
    • Journal of Korean Elementary Science Education
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    • v.33 no.3
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    • pp.439-452
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    • 2014
  • The purpose of this study is to find out the effect of STEAM program on the scientific communication skills and the learning flow of elementary gifted students. The main findings of this study are as follows: First, STEAM program that mathematical, technical, engineering and art factors were combined based on basic concepts of science were developed. Seconds, the change in the scientific communication skills of experimental group applying STEAM program had statistically meaningful difference (p<.05). Third, the flow of experimental class improved, but it had no meaningful difference statistically (p>.05). But it is expected that continuing level adjusted STEAM program might have positive effect on improving the flow with the following three reasons: 1) The gifted students' flow level on learning before experiment was rather too high to expect short term effect. 2) It was hard for them to achieve flow experience because topic difficulties and students' capacities were not balanced. 3) topic commitments and autotelic behaviors of gifted students were observed during classes. Fourth, by the result of the student satisfaction questionnaire survey on this program, students actively participated in the STEAM program with interest and curiosity. As achieved self-directed problem solving, versatile communication activities and success experiences, their class satisfaction was high. Based on such results, it was expected that the gifted class applied of STEAM program could enhance scientific communication capacity of the elementary gifted students and would further positively influence flow of learning as well. In addition, it was considered to have integrated approach value to elementary gifted and talented education in the aspect that it could satisfy various educational demands of gifted students.

Mathematics & coding mobile contents for secondary education (텍스트 코딩을 활용한 중등수학 모바일 콘텐츠 개발 연구)

  • Lee, Sang-Gu;Lee, Jae Hwa;Nam, Yun
    • Communications of Mathematical Education
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    • v.38 no.2
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    • pp.231-246
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    • 2024
  • In this paper, we present the development and a case study on 'Mathematics & Coding Mobile Contents' tailored for secondary education. These innovative resources aim to alleviate the burden of laborious calculations, enabling students to allocate more time to engage in discussions and visualize complex mathematical concepts. By integrating these contents into the curriculum, students can effectively meet the national standards for achievement in mathematics. They are empowered to develop their mathematical thinking skills through active engagement with the material. When properly integrated into secondary mathematics education, these resources not only facilitate attainment of national curriculum standards but also foster students' confidence in their mathematical abilities. Furthermore, they serve as valuable tools for nurturing both computational and mathematical thinking among students.