• Title/Summary/Keyword: mathematical concepts

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APPLICATION OF PROJECT MANAGEMENT: LEAN TECHNOLOGIES AND SAVING MANUFACTURING (ASPECTS OF MANAGEMENT AND PUBLIC ADMINISTRATION)

  • Kulinich, Tetiana;Berezina, Liudmyla;Bahan, Nadiia;Vashchenko, Iryna;Huriievska, Valentyna
    • International Journal of Computer Science & Network Security
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    • v.21 no.5
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    • pp.57-68
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    • 2021
  • Successfully adapting to digital and customer-oriented transformation, the concept of lean manufacturing professes the philosophy of creating greater benefit while minimizing losses. These losses are operations that do not add value in the production process to ensure the efficiency, flexibility, and profitability of projects. In the context of broad automation and digitalization of all sectors of the economy, mechanisms for combining automation technologies and lean production are becoming available. Moreover, when it comes to the efficient use of financial, human, or material resources, it is clear that the use of Industry 4.0 technologies can be an effective tool for achieving the goals of lean production, as many of them pursue the same goal. In this context, this article aims to study the effectiveness of the implementation of project management concepts at the global level and identify the main factors influencing its effectiveness to ensure the achievement of lean production through LEAN technologies and Industry 4.0 technologies. To achieve this goal, several statistical indicators were selected and several statistical methods of analysis were used: pairwise correlation, regression analysis, methods of comparison, synthesis, and generalization. Statistical analysis was conducted according to a survey conducted by the Project Management Institute (PMI) in 2020. An economic-mathematical model of dependence of project effectiveness in different regions of the world on the level of implementation of project management approaches is built, which shows that the increase in project effectiveness by 85% is due to financial losses, technical training, and consumer orientation. These results allow project managers to develop appropriate strategies to improve project management approaches at all levels. It is established that LEAN technologies and technologies of Industry 4.0 have several tools that have a positive effect on minimizing losses following the concept of lean production. Besides, given that the technology of Industry 4.0 is focused on the automation of Lean Production technology, a mechanism for the introduction of lean production using these technologies and methods.

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.

A Study on the Diversity of Lesson Flow and Visual Representations of Common Denominator Fraction Addition and Subtraction in Elementary Mathematics Textbooks (초등 수학 교과서의 동분모 분수 덧셈과 뺄셈 단원의 차시 흐름 및 시각적 표현 다양성에 대한 연구)

  • Kang, Yunji
    • Education of Primary School Mathematics
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    • v.26 no.3
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    • pp.125-140
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    • 2023
  • In elementary school mathematics, the addition and subtraction of fractions are difficult for students to understand but very important concepts. This study aims to examine the teaching methods and visual aids utilized in the context of common denominator fraction addition and subtraction. The analysis focuses on evaluating the lesson flow and the utilization of visual representations in one national textbook and ten certified textbooks aligned with the current 2015 revised curriculum. The results show that each textbook is composed of chapter sequences and topics that reflect the curriculum faithfully, with each textbook considering its own order and content. Additionally, each textbook uses a different variety and number of visual representations, presumably intended to aid in learning the operations of fractions through the consistency or diversity of the visual representations. Identifying the characteristics of each textbook can lead to more effective instruction in fraction operations.

An Analysis of the Capacity and Weight Contents Presented in Textbooks According to the 2015 Revised Mathematics Curriculum (2015 개정 수학과 교육과정에 따른 교과서에 제시된 들이와 무게 내용 분석)

  • Daehyun Lee
    • Journal of Science Education
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    • v.47 no.3
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    • pp.273-285
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    • 2023
  • Measurement in elementary school mathematics is one of the mathematical concepts that is directly used in real life. This study is based on the fact that mathematics textbooks for 3-4 and 5-6 graders were developed as the government designed and authorized textbooks and the general measurement instruction process is condensed and presented considering the limitation of the textbook's space for the capacity and weight. Its contents were analyzed. The results are as follows. The contents of authorized textbooks and government designed textbook are different in detail but similar overall in comparative activities, recognition, and situation of the need for the introduction of standard unit and estimation activities. Through this, it is proposed that efforts are needed to reform national textbook policies and develop textbooks that can highlight the meaning of each measurement activity and focus on students' activities.

A Case Study on the classroom life and the identity of the Elementary Mathematics Gifted Education (초등수학 영재교육원의 교실 생활과 정체성에 대한 사례연구)

  • Lee, Hak-Ro;Ryu, Sung-Rim
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.99-118
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    • 2011
  • For this case study of gifted education, two classrooms in two locations, show life in general of the gifted educational system. And for this case study the identity of teachers and the gifted, help to activate the mathematically gifted education for these research questions, which are as followed: Firstly, how is the gifted education classroom life? Secondly, what kind of identity do the teachers and gifted students bring to mathematics, mathematics teaching and mathematics learning? Being selected in the gifted children's education center solves the research problem of characteristic and approach. Backed by the condition and the permission possibility, 2 selected classes and 2 people, which are coming and going. Gifted education classroom life, the identity of teachers and gifted students in mathematics and mathematics teaching and mathematic learning. It will be for 3 months, with various recordings and vocal instruction between teacher and students. Collected observations and interviews will be analyzed over the course of instruction. The results analyzed include, social participation, structure, and the formation of the gifted education classroom life. The organization of classes were analyzed by the classes conscious levels to collect and retain data. The classes verification levels depended on the program's first class incentive, teaching and learning levels and understanding of gifted math. A performance assessment will be applied after the final lesson and a consultation with parents and students after the final class. The six kinds of social participation structure come out of the type of the most important roles in gifted education accounts, for these types of group discussions and interactions, students must have an interaction or individual activity that students can use, such as a work product through the real materials, which release teachers and other students for that type of questions to evaluate. In order for the development of meaningful mathematical concepts to formulate, mathematical principles require problem solving among all students, which will appear in the resolution or it will be impossible to map the meaning of the instruction from which it was formed. These results show the analysis of the mathematics, mathematics teaching, mathematics learning and about the identity of the teachers and gifted. Gifted education teachers are defined by gifted math, which is more difficult and requires more differentiated learning, suitable for gifted students. Gifted was defined when higher level math was created and challenged students to deeper thinking. Gifted students think that gifted math is creative learning and they are forward or passive to one-way according to the education atmosphere.

A case study of elementary school mathematics-integrated classes based on AI Big Ideas for fostering AI thinking (인공지능 사고 함양을 위한 인공지능 빅 아이디어 기반 초등학교 수학 융합 수업 사례연구)

  • Chohee Kim;Hyewon Chang
    • The Mathematical Education
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    • v.63 no.2
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    • pp.255-272
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    • 2024
  • This study aims to design mathematics-integrated classes that cultivate artificial intelligence (AI) thinking and to analyze students' AI thinking within these classes. To do this, four classes were designed through the integration of the AI4K12 Initiative's AI Big Ideas with the 2015 revised elementary mathematics curriculum. Implementation of three classes took place with 5th and 6th grade elementary school students. Leveraging the computational thinking taxonomy and the AI thinking components, a comprehensive framework for analyzing of AI thinking was established. Using this framework, analysis of students' AI thinking during these classes was conducted based on classroom discourse and supplementary worksheets. The results of the analysis were peer-reviewed by two researchers. The research findings affirm the potential of mathematics-integrated classes in nurturing students' AI thinking and underscore the viability of AI education for elementary school students. The classes, based on AI Big Ideas, facilitated elementary students' understanding of AI concepts and principles, enhanced their grasp of mathematical content elements, and reinforced mathematical process aspects. Furthermore, through activities that maintain structural consistency with previous problem-solving methods while applying them to new problems, the potential for the transfer of AI thinking was evidenced.

Features of sample concepts in the probability and statistics chapters of Korean mathematics textbooks of grades 1-12 (초.중.고등학교 확률과 통계 단원에 나타난 표본개념에 대한 분석)

  • Lee, Young-Ha;Shin, Sou-Yeong
    • Journal of Educational Research in Mathematics
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    • v.21 no.4
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    • pp.327-344
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    • 2011
  • This study is the first step for us toward improving high school students' capability of statistical inferences, such as obtaining and interpreting the confidence interval on the population mean that is currently learned in high school. We suggest 5 underlying concepts of 'discretion of contingency and inevitability', 'discretion of induction and deduction', 'likelihood principle', 'variability of a statistic' and 'statistical model', those are necessary to appreciate statistical inferences as a reliable arguing tools in spite of its occasional erroneous conclusions. We assume those 5 concepts above are to be gradually developing in their school periods and Korean mathematics textbooks of grades 1-12 were analyzed. Followings were found. For the right choice of solving methodology of the given problem, no elementary textbook but a few high school textbooks describe its difference between the contingent circumstance and the inevitable one. Formal definitions of population and sample are not introduced until high school grades, so that the developments of critical thoughts on the reliability of inductive reasoning could not be observed. On the contrary of it, strong emphasis lies on the calculation stuff of the sample data without any inference on the population prospective based upon the sample. Instead of the representative properties of a random sample, more emphasis lies on how to get a random sample. As a result of it, the fact that 'the random variability of the value of a statistic which is calculated from the sample ought to be inherited from the randomness of the sample' could neither be noticed nor be explained as well. No comparative descriptions on the statistical inferences against the mathematical(deductive) reasoning were found. Few explanations on the likelihood principle and its probabilistic applications in accordance with students' cognitive developmental growth were found. It was hard to find the explanation of a random variability of statistics and on the existence of its sampling distribution. It is worthwhile to explain it because, nevertheless obtaining the sampling distribution of a particular statistic, like a sample mean, is a very difficult job, mere noticing its existence may cause a drastic change of understanding in a statistical inference.

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Trends and Tasks in Research on Didactic Transposition in Mathematics Education (교수학적 변환 연구의 동향과 과제)

  • Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.26 no.2
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    • pp.173-188
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    • 2016
  • Research on didactic transposition in mathematics education has about 25-year and about 35-year long history in and out of Korea, respectively. This study attempts to investigate in trends of those research and to suggest tasks needed to be tackled. Major findings are followed. First, studies done in Korea tended to focus on the application of the didactic transposition theory for proving its effectiveness in understanding mathematics textbooks and mathematics lessons in-depth. It is suggested to conduct meta-analysis of the accumulated results or analysis of further applications of the didactic transposition theory to improve theoretical aspects of didactic transposition. Second, new categories for extreme teaching phenomenon were found and new typology in knowledge to be considered in the didactic transposition was developed in a few studies done in other subject matter education. Application of these to mathematics education may enhance research in didactic transposition of mathematical knowledge. Third, praxeology or a complex of praxeology for Korean school mathematics should be explored as did in other countries. Fourth, there have been rich attempts to link perspectives in didactic transposition to other perspectives or fields such as anthropology, human and education in technology era, praxeology theory in economics, epistemology in other countries but not in Korea. It is suggested to extend the scope of discussion on didactic transposition and to relate various concepts given in other disciplines. Fifth, clarification or negotiation of meaning for the main terms used in the discussion on didactic transposition such as personalization, contextualization, depersonalization, decontextualization, Topaze Effect, Meta-Cognitive Shift is suggested by comparing researchers' various descriptions or uses of the terms.

The Development and Validation of the Survey of Students' Affective Characteristics in the Non-Cognitive Domain of Mathematics Learning (수학학습 정의적 영역 검사 도구 개발 연구)

  • Lee, Hwan Chul;Kim, Hyung Won;Ee, Ji-hye;Yi, Hyun Sook;Ko, Ho Kyoung
    • School Mathematics
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    • v.19 no.2
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    • pp.267-287
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    • 2017
  • Fostering students' positive affect related to mathematics such as attitudes toward mathematics and dispositions toward learning mathematical concepts is one of the major goals of school mathematics programs. In this study, we collected data from students at the 4-1 grade levels to develop an instrument that measures students' affect regarding mathematics learning. To develop the instrument, we first conducted focus group interviews, which we recorded, transcribed, and analyzed. We sorted the results according to seven components of the non-cognitive domain of mathematics learning, which drew from taxonomical constructs of previous research. We then conducted a pilot study in which we administered the instrument as a pretest and a posttest. We chose the final items based on confirmatory factor analysis and a reliability test of the pre and posttest scores. The final instrument contains 24 items, which are classified according to the seven components: interest, attitudes, value, external motivation, internal motivation, learning conation, and efficacy. We anticipate this instrument will be useful for studies that need to measure students' non-cognitive characteristics in relation to learning mathematics.

Using GSP Construction Improving Figure Analysis Ability of Pre-service Elementary Teachers (예비 초등 교사의 도형 분석 능력 신장을 위한 GSP 작도의 활용)

  • Roh, Eun Hwan;Kang, Jeong Gi;Kim, Min Jeong;Jeong, Sang Tae
    • Education of Primary School Mathematics
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    • v.17 no.2
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    • pp.127-157
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    • 2014
  • The purpose of the study is to enhance the figure analysis ability for pre-service elementary teacher by using GSP. To do this, we limited to teaching competence divide into ability various problem-solving, extract key elements, predict the difficulty of student and investigated the initial of them, the reality of GSP construction. As results, pre-service elementary teachers made errors, proposed teaching focused on the character using in the problem solving, and found that in one particular difficulties to find the students. The reality of GSP construction activity was possible to explore through the partially constructed a number of various properties, but we found to have difficulty in the connection between concepts. and integrated view of the problem analysis. After visual identification and exploration through the GSP construction, problem-solving ability became a little more variety and changed their direction in order to focus the student's anticipated difficulties. From these results, we could extract some pedagogical implications helping pre-service teachers to reinforce teaching competence by GSP construction.