• Title/Summary/Keyword: Elementary mathematics curriculum

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A Survey of the Use and Conception of Mathematical Communication: Focused on Teachers of the First and Second Graders (초등학교 교사들의 수학적 의사소통 활용 실태 및 인식 조사 - 초등학교 1.2학년을 담당한 교사들을 대상으로)

  • Kim, Sang-Hwa;Pang, Jeong-Suk
    • Education of Primary School Mathematics
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    • v.14 no.2
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    • pp.147-164
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    • 2011
  • The national mathematics curriculum revised in 2007 emphasized students' mathematical communication and the curriculum is currently applied to all grades. In order to promote students' mathematical communication, the teacher needs to understand full implications and apply them to instruction. This study examined how teachers employed mathematical communication in their instruction and how they perceived it. The results showed that teachers had lack of understanding of student-centered instruction and mathematical communication. They also did not use various representation activities and discussion-based activities as expected. The number of students per classroom was reported by teachers as a main barrier to promote mathematical communication, but it did not make substantial differences in practice. Building on the results, this paper included implications for improving teachers' conception of mathematical communication.

A Didactical Analysis of Korean Mathematical Terms Bi-yul and Bi-ui-gap (비의 값과 비율 용어에 대한 교수학적 분석)

  • Yim, Jaehoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.3
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    • pp.371-386
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    • 2015
  • There has been little consensus on how to define and use the Korean mathematical terms, bi-ui-gap and bi-yul. This study compares four perspectives of bi-ui-gap and bi-yul proposed and discussed in Korean mathematics education community and examines the ways of using the terms adopted since the 6th national curriculum. Based on the analysis that previously proposed perspectives conflict each other, this study proposes as a way to synthesize different perspectives of bi-ui-gap and bi-yul by analyzing the terms in the internal and external ratio contexts. This study proposes that bi-ui-gap be used to represent 'a value of $A{\div}B$' rather than 'a value originated from a ratio A:B' or 'a fraction form ${\frac{B}{A}}$.' This study also proposes that bi-yul or bae-yul be used in the internal ratio context and a new term, such as dan-wi-yul, be created for the external ratio context.

Development of Class-Based Learning Applet on Numbers and Number Operations (수와 연산 학습을 위한 클래스기반 학습 애플릿 개발)

  • Kim, Min-Jeong;Kim, Kap-Su;Min, Mee-Kyung
    • Journal of Digital Contents Society
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    • v.8 no.2
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    • pp.235-243
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    • 2007
  • Students develop mathematical concepts through concrete operations in the area of mathematics. However, most of the learning contents provided on the web are not interactive and limit interactions with learners. To overcome the limitations, there have been needs to develop learning contents to support active interactions with students according to their cognitive levels. In this study, the curriculum of numbers and number operations in elementary mathematics was analyzed. Based on the object-oriented design principle, "Number Classes" on numbers and number operations were designed and implemented. A class-based learning applet was developed with theses "Number Classes". It was developed in small unit programs based on learning themes of mathematics in elementary schools. With this learning applet, the active explorations through easy operations will help students to learn concepts and principles of numbers and number operations. It will strengthen active interactions of students with computer.

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Note on a Method for Mathematical Creativity Assessment by Differentiating the Student's Solutions of the Posed Problems (문제해결 방법의 차등화를 통한 수학적 창의성 평가에 대한 소고)

  • Kim, Pan Soo;Kim, Nan Young
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.3
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    • pp.503-522
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    • 2013
  • In the 2009 new curriculum reform, where creativity is the key point, assessment methods for mathematical creativity is recommended. However, lessons for creativity are not carried out well in mathematics classes. One of the reasons for this is the lack of assessment methods for student's creativity and specific instructions on how teachers should evaluate their students using a written test. Therefore, in this paper, we propose a simple way to evaluate student's creativity by differentiating the student's solutions of the posed problems. For validation of the proposed method, we identified the properties of excellent problem solutions cited by both the students group and teachers group. A chi-square test was then carried out to compare any differences in frequency that each of the groups chose as an excellent solution as a result of the student's problem solving

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Analysis of the 2015 Revised Mathematics Textbooks on Quadrilaterals: Focusing on the Instructional Components of 2-D Shape (평면도형의 교수·학습 요소에 따른 사각형에 관한 2015 개정 수학 국정 및 검정 교과서 분석)

  • Kwon, Misun
    • Education of Primary School Mathematics
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    • v.26 no.4
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    • pp.237-255
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    • 2023
  • At a time when the textbooks publishing system is changing from government-administered to certified, it is necessary to analyze textbooks published in both systems. This study analyzed one government textbook and three certified textbooks on quadrilaterals based on the instructional components that must be taught in the area of 2-D shapes. As a result of the analysis, it was found that concept exploration was implemented appropriately, but classification activities were not presented in some lessons. In Defining Concepts, the definition of the concept was presented appropriately, but there were differences depending on the textbooks. In addition, it was found that there was little activity in talking about the components of shapes or shapes. In applying concepts, more diverse activities were presented in certified textbooks than in government textbooks. Knowing relationships are rarely presented in textbooks due to its influence on the curriculum. Based on the results of this analysis of quadrilaterals, this study provides textbook writers with implications on what to further consider is dealing with quadrilaterals.

An analysis of mathematics competencies in elementary mathematics textbooks for fifth and sixth grade (초등학교 5-6학년군 수학 교과서에 제시된 교과 역량 분석)

  • Kim, Jeong-Won;Pang, Jeong-Suk;Hwang, Ji-Nam
    • The Mathematical Education
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    • v.59 no.2
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    • pp.147-166
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    • 2020
  • Textbooks are important resources in support of teaching and learning mathematics competencies which are emphasized in the most recently revised mathematics curriculum. This study analyzed how six mathematics competencies and their sub-elements are implemented in the mathematics textbooks for the fifth and sixth grades. A total of 465 activities or items in the targeted textbooks were analyzed. The findings of this study showed that both the communication competence and the reasoning competence were the most frequent competencies, followed by the problem solving competence. In contrast, the other three competences (i.e., creativity and integration, attitude and practice, and information processing) were less popular. Detailed analyses of sub-elements according to each competence revealed that one or two specific sub-elements were emphasized within a competence. Whereas "expressing one's idea" was the most prevalent sub-element in the communication competence, both "analyzing mathematical facts" and "observation and conjecture" were the most frequent in the reasoning practice. Specific sub-elements were jointly implemented within or across competences. "External connections of mathematics and integration" in the creativity and integration competence was carried out in relation to "recognition of values" in the attitude and practice competence. This paper also included some examples of activities or items showing how specific sub-elements of each competence were reflected on. This study is expected to provide implications on how to implement mathematics competencies throughout the textbooks.

A Study on the Solving Proportion Problems of Mathematics Textbooks and Proportional Reasoning in 6th Graders (초등학교 6학년 학생들의 교과서 비례 문제 해결과 비례 추론에 관한 연구)

  • Kwan, Mi-Suk;Kim, Nam-Gyunl
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.2
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    • pp.211-229
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    • 2009
  • The purpose of this study is analysis of to investigate relation proportion problem of mathematics textbooks of 7th curriculum to proportional reasoning(relative thinking, unitizing, partitioning, ratio sense, quantitative and change, rational number) of Lamon's proposal at sixth grade students. For this study, I develop two test papers; one is for proportion problem of mathematics textbooks test paper and the other is for proportional reasoning test paper which is devided in 6 by Lamon. I test it with 2 group of sixth graders who lived in different region. After that I analysis their correlation. The result of this study is following. At proportion problem of mathematics textbooks test, the mean score is 68.7 point and the score of this test is lower than that of another regular tests. The percentage of correct answers is high if the problem can be solved by proportional expression and the expression is in constant proportion. But the percentage of correct answers is low, if it is hard to student to know that the problem can be expressed with proportional expression and the expression is not in constant proportion. At proportion reasoning test, the highest percentage of correct answers is 73.7% at ratio sense province and the lowest percentage of that is 16.2% at quantitative and change province between 6 province. The Pearson correlation analysis shows that proportion problem of mathematics textbooks test and proportion reasoning test has correlation in 5% significance level between them. It means that if a student can solve more proportion problem of mathematics textbooks then he can solve more proportional reasoning problem, and he have same ability in reverse order. In detail, the problem solving ability level difference between students are small if they met similar problem in mathematics text book, and if they didn't met similar problem before then the differences are getting bigger.

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Analysis of the contents related to health education of the 7th education course for elementary schools (제7차 초등학교 교육과정의 보건교육 관련내용 분석)

  • Kim, Young-Ju;Kim, Jung-Soon
    • Journal of the Korean Society of School Health
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    • v.16 no.2
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    • pp.71-84
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    • 2003
  • This study was attempted to offer the basic data required for composing a systemic education contents for health by analyzing the contents related to health education shown in the guidebook for teachers and the schoolbook for students of all grades in the current 7th education course for elementary school. The objectives and data were totally 162 copies which were 90 copies of national schoolbook for 1~6 grades and 72 copies of guidebook for teachers used in elementary schools in the 7th educational course. The standards of selection for the contents related to health education including in each schoolbook were divided into 11 themes using the health care model suggested by Kim, Hwa Joong(1995) in the guidebook for health curriculum for elementary middle high schools. The results of this study are as follows: Firstly, the total hours of health education suggested in the 7th educational course for elementary school were 274 hours and it was 6.2% of the total class of 4,442 hours. Secondly, the contents about health education were distributed into 9 subjects of The right livelihood, The wise livelihood, The cheerful livelihood, Korean, Morals, Society, Science, Physical education, and Practical course etc. Physical education had the most contents about health education and there was nothing in Mathematics, Music and Arts. Thirdly, contents about health of regional society and environmental health were the most of 53 hours(19.3%), and contents about understanding of health were the least of 4 hours(1.4%). Fourthly, contents included equally in every grades were those about safety and emergency response, health of home and society, health of regional society and environmental health.

A Study on Content Analysis and Types of Forest Education According to the 2015 Revised Curriculum (2015 개정 초등교육과정 내 산림교육 내용분석 및 유형화 연구)

  • Choi, Seon Hye;Ha, Si Yeon
    • Journal of Korean Society of Forest Science
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    • v.110 no.4
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    • pp.689-710
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    • 2021
  • The purpose of this study was to analyze contents of the elementary school textbooks on 'Forest Education' based on the 2015 revised curriculum. This study is designed to determine the status of forest educationrelated content in the curriculum. Thetypesofforesteducationintextbooksweredividedintoanalysis. In addition, the standards of achievement of the curriculum were analyzed into the areas of forest education curriculum to determine the similarities between the curriculum and the achievement of forest education. This study shows that, first, the field of knowledge in forest education was included in all subjects and grades except mathematics. It noted that the curriculum includes areas of knowledge that directly convey knowledge related to forest education. This showed that the forest education knowledge area is linked to various courses. Second, the types of forest education included in the curriculum appeared differently depending on age. In the lower grades, there was the most information on the tools and sensibilities of forest education, and in the higher grades, the more knowledge and value-related areas were addressed. As the school year increases, so do forest education levels. Third, when analyzing the achievement criteria in the curriculum, the curriculum achievement criteria included key points in forest education. Thus, this study confirmed the link between the curriculum and forest education.

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.