• Title/Summary/Keyword: Mathematics based on real life

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Elementary Math Textbooks and Real Life Comparative Analysis of Representations for Length and Time (초등 수학 교과서와 실생활에서 나타나는 길이와 시간에 대한 표현 비교 분석)

  • Kang, Yunji
    • Education of Primary School Mathematics
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    • v.25 no.3
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    • pp.233-249
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    • 2022
  • Measurement plays an important role in both school mathematics and real life. Among the measurement areas, length is the first to learn and is the basis for measurement. Time is measured in its own way and is characterized by being the most abstract. This study attempted to analyze elementary mathematics textbooks and representations in real life to examine how the length and time of learning in school mathematics differ from those represented in real life. Based on this, we tried to derive implications for the direction of measurement education and elementary math textbooks. As a result of the analysis, the concept of length was used the same in real life and school mathematics. However, terms such as distance, depth, and height were not defined, and the representation of the approximate value was presented in a fragmentary form. In addition, there were parts where students were likely to feel confused in school mathematics and real life, such as the same units such as 'minutes and seconds' were used in time. Therefore, considering these differences, it is necessary to consider the direction of composition of math textbooks and teaching and learning so that students can connect school mathematics and real life and understand widely about measurement concepts.

The Development of Teaching-learning Materials based on Real life and the Investigation of Students's cognition change about Mathematics class using Developed materials (실생활 중심의 교수-학습 자료 개발과 이를 활용한 수학 수업에 대한 학생들의 인식 변화 고찰)

  • Lee, Shin-Deuk;Kwean, Hyuk-Jin
    • Journal of the Korean School Mathematics Society
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    • v.10 no.1
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    • pp.45-69
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    • 2007
  • In the 21st century, knowledge-based and information-based society requires not just the capability of applying mathematics simply but mathematical power such as problem-solving ability which composes and solves problems using mathematical knowledge in real-life and fields of various subjects. However, to develop mathematical power, we need various teaching and learning methods which raise basic mathematical knowledge, the inference capability, problem- solving ability, the flexibility of thinking, the expressing and transforming ability of mathematical ideas, perseverance, interest, intellectual curiosity, and creativity. In this paper, we develop the teaching-learning plans based on real life using the various methods of learning and then we analyze the change of students's cognition of mathematics and the students's reaction of the class.

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Testing of EBELC classes of life distributions based on TTT-transform

  • Abu-Youssef, S.E.;Mohie El-Din, M.M.;Hassan, M.Kh.
    • International Journal of Reliability and Applications
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    • v.13 no.1
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    • pp.49-56
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    • 2012
  • Using total time on test transform (TTT), a new approach is taken for testing exponentiality versus the unknown age, exponential better than equilibrium life in convex ordering (EBELC). Selected critical values are tabulated for sample size n =2(2)50 and powers of the test are estimated for some commonly used distributions in reliability. Finally real example is presented to illustrate the theoretical results.

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Analysis of the definition and real life context of range of numbers and approximation (수의 범위와 어림하기의 정의와 실생활 맥락에 대한 분석)

  • Kang, Yunji
    • Education of Primary School Mathematics
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    • v.27 no.3
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    • pp.247-260
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    • 2024
  • In real life, the concepts of number range and approximation are frequently used. These concepts are closely related to various mathematical concepts, and the need for research on the defining and learning of these related terms is emphasized. The learning contents of seven mathematical terms related to the range of numbers and approximation were analyzed, focusing on the definition of terms and the context of real life. As a result of analyzing the contents of 10 currently used elementary school mathematics textbooks, the lessons were organized according to the achievement standards presented in the curriculum, but the composition and order, real-life context, examples used in definitions, and the highlighted parts and directions of the activities varied depending on the author's intent. Based on the analysis results, implications for textbook writing and classroom instruction were presented.

Development and Application of STEAM Education Model centered on Mathematics Subject using Real-life Context (실생활 맥락을 활용한 수학교과 중심의 STEAM 교육 모형 개발 및 적용)

  • Ban, Eun-seob
    • Communications of Mathematical Education
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    • v.32 no.3
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    • pp.341-362
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    • 2018
  • The purpose of this study is to develop a STEAM education model on the basis of mathematics curriculum using real life context, and to analyze the effect of the class based on developed model to make applicable pedagogical discussion. For this purpose, STEAM class materials that can be used in terms of recognition, connection, extension, and application of mathematical concepts, principles and laws are considered, taking into consideration the ways in which real life contexts and mathematical learning could be harmonized. As a results of using these materials, it was empirically confirmed that students' cognitive thinking and affective aspects abilities were improved. The STEAM instruction centered on the mathematics curriculum and the mathematics class based on the data developed in this study have a unique identity compared to the conventional general mathematics teaching methods using the textbooks. And it is pursuing the future class model which could present desirable creativity and personality education. The result of this study would provide preliminary data and meaningful implications to the researchers for next curriculum and concomitant instructional materials as well as the mathematics teachers.

A Study on the Method of Mathematical Situation Posing (수학적 상황 설정 방법에 관한 연구)

  • 홍성민;김상룡
    • Education of Primary School Mathematics
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    • v.6 no.1
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    • pp.41-54
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    • 2002
  • The purpose of this study is to find out what mathematical situation means, how to pose a meaningful situation and how situation-centered teaching could be done. The obtained informations will help learners to improve their math abilities. A survey was done to investigate teachers' perception on teaching-learning in mathematics by elementary teachers. The result showed that students had to find solutions of the textbook problems accurately in the math classes, calculated many problems for the class time and disliked mathematics. We define mathematical situation. It is artificially scene that emphasize the process of learners doing mathematizing from physical world to identical world. When teacher poses and expresses mathematical situation, learners know mathematical concepts through the process of mathematizing in the mathematical situation. Mathematical situation contains many concepts and happens in real life. Learners act with real things or models in the mathematical situation. Mathematical situation can be posed by 5 steps(learners' environment investigation step, mathematical knowledge investigation step, mathematical situation development step, adaption step and reflection step). Situation-centered teaching enhances mathematical connections, arises learners' interest and develops the ability of doing mathematics. Therefore teachers have to reform textbook based on connections of mathematics, other subject and real life, math curriculum, learners' level, learners' experience, learners' interest and so on.

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DECISION MAKING USING CUBIC HYPERSOFT TOPSIS METHOD

  • A. BOBIN;P. THANGARAJA;H. PRATHAB;S. THAYALAN
    • Journal of applied mathematics & informatics
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    • v.41 no.5
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    • pp.973-988
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    • 2023
  • In real-life scenarios, we may have to deal with real numbers or numbers in intervals or a combination of both to solve multi-criteria decision-making (MCDM) problems. Also, we may come across a situation where we must combine this interval and actual number membership values into a single real number. The most significant factor in combining these membership values into a single value is by using aggregation operators or scoring algorithms. To overcome such a situation, we suggest the cubic hypersoft set (CHSS) concept as a workaround. Ultimately, this makes it simple for the decision-maker to obtain information without misconceptions. The primary aim of this study is to establish some operational laws for the cubic hypersoft set, present the fundamental properties of aggregation operators and propose an algorithm by using the technique of order of preference by similarity to the ideal solution (TOPSIS) technique based on correlation coefficients to analyze the stress-coping skills of workers.

일본 소학교 산수과 신 학습지도 요령 분석

  • 박성택
    • Journal for History of Mathematics
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    • v.12 no.1
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    • pp.45-52
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    • 1999
  • This study is an analysis on the Arithmetic education curriculum of elementary school in Japan that will become effective from April 1, 2002. In new curriculum, loaming are highly reduced and mediated. This curriculum is characterized by the slow and interesting Arithmetic education focusing on creativity, student-based Arithmetic education, and real life-related Arithmetic education.

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Developing the mathematics model textbook based on storytelling with real-life context - Focusing on the coordinate geometry contents - (실생활 연계형 스토리텔링 수학 교과서 개발 -도형의 방정식 단원을 중심으로-)

  • Kim, Yujung;Kim, Ji Sun;Park, Sang Eui;Park, Kyoo-Hong;Lee, Jaesung
    • Communications of Mathematical Education
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    • v.27 no.3
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    • pp.179-203
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    • 2013
  • The purpose of this study was to discuss the example that developed geometry model textbook based on storytelling using real-life context. To achieve this purpose, we first elaborated the meaning of the textbook based on storytelling with real-life context, and then we discussed the outline of the story and the summary of each lesson. This study defined the storytelling textbook with real-life context as the textbook consisting of activities that explored and organized mathematical concepts by using real-life situations as materials of stories. The geometry textbook we developed employed two real-life materials, a map and a set square: we used a map for the coordinate geometry and a set square for the equation of a line. To attract students' interest, we introduced confrontation between a teacher and two students and a villain. We implemented experimentation with the textbook based on storytelling in order to verify its validity. The participants were 25 students that were enrolled in a high school in Seoul. Among them, 17 participants were surveyed. Students' answers from the survey questionnaire suggested that the geometry textbook we developed based on storytelling helped them learn mathematics and that the instruments such as a map and a set square helped them understand mathematical concepts. However, their opinion implied that the story of the textbook needed to be improved so that the story reflected more realistic contexts that were familiar with students.

Re-Interpretation on the Korean Middle Grades Mathematics Textbooks of the 1st Curriculum (제 1차 교육과정에 따른 중학교 수학교과서의 현대적 재조명)

  • Ban, Eun Seob;Lew, Hee Chan
    • School Mathematics
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    • v.16 no.1
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    • pp.83-110
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    • 2014
  • This study analyzed the mathematics textbooks of middle grades in the first Korean curriculum, based on the modern trends of mathematics education curriculum, comparing with present Korean curriculum's other textbooks and the American textbook, MiC. The mathematics textbooks in the first Korean curriculum are based on various situations in our real life and introduce mathematical concepts throughout a set of mathematics problems. The textbooks present mathematical concepts with connected knowledge and include mathematical activities which make students use mathematical table, graph and formula at the same time. And students are actively required to discuss together during the mathematics problem solving process. As the results of this modern review on Korean 1st curriculum and middle grades mathematics textbooks, it would provide preliminary data and meaningful implications for the next curriculum and concomitant instructional materials.

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