• 제목/요약/키워드: role of mathematics in society

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A Study on the Algebraic Thinking of Mathematically Gifted Elementary Students (초등 수학영재의 대수적 사고 특성에 관한 분석)

  • Kim, Min-Jung;Lee, Kyung-Hwa;Song, Sang-Hun
    • School Mathematics
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    • v.10 no.1
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    • pp.23-42
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    • 2008
  • The purpose of this study was to describe characteristics of thinking in elementary gifted students' solutions to algebraic tasks. Especially, this paper was focused on the students' strategies to develop generalization while problem solving, the justifications on the generalization and metacognitive thinking emerged in stildents' problem solving process. To find these issues, a case study was conducted. The subjects of this study were four 6th graders in elementary school-they were all receiving education for the gifted in an academy for the gifted attached to a university. Major findings of this study are as follows: First, during the process of the task solving, the students varied in their use of generalization strategies and utilized more than one generalization strategy, and the students also moved from one strategy toward other strategies, trying to reach generalization. In addition, there are some differences of appling the same type of strategy between students. In a case of reaching a generalization, students were asked to justify their generalization. Students' justification types were different in level. However, there were some potential abilities that lead to higher level although students' justification level was in empirical step. Second, the students utilized their various knowledges to solve the challengeable and difficult tasks. Some knowledges helped students, on the contrary some knowledges made students struggled. Specially, metacognitive knowledges of task were noticeably. Metacognitive skills; 'monitoring', 'evaluating', 'control' were emerged at any time. These metacognitive skills played a key role in their task solving process, led to students justify their generalization, made students keep their task solving process by changing and adjusting their strategies.

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Problem-Solving Model to Improve Scientific Literacy of Youth (청소년의 과학적 소양 향상을 위한 문제해결 모형 개발 연구)

  • Kwak Seung-Jin
    • Journal of Korean Library and Information Science Society
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    • v.36 no.3
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    • pp.21-38
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    • 2005
  • This study aims to find methods to improve the scientific literacy of the youth, which comprise the group who will lead the upcoming era of knowledge and science. To do this, the study focuses on improving the youth's understanding of science and their ability to utilize it. It is widely recognized that scientific literacy Is highly essential in this era of scientific revolution and innovations. Accordingly, various kinds of programs are being developed in Korea and other countries. In particular, 'Project 2061' is designed to enable a permanent learning system by improving problem-solving ability through the scientific process. This system plays an Important role In supporting the Americans' Pursuit of Increased literacy in the fields of science, mathematics, and engineering. To improve the scientific literacy of young people, content development in relation with school courses as well as information services that arouse Interest and curiosity In the field of science is very important. In addition, It is necessary to develop a problem-solving program by stages. Further studies focusing on methods of improving scientific literacy of the youth are recommended.

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The Sociodynamical Function of Meta-affect in Mathematical Problem-Solving Procedure (수학 문제해결 과정에 작용하는 메타정의의 사회역학적 기능)

  • Do, Joowon;Paik, Suckyoon
    • Education of Primary School Mathematics
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    • v.20 no.1
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    • pp.85-99
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    • 2017
  • In order to improve mathematical problem-solving ability, there has been a need for research on practical application of meta-affect which is found to play an important role in problem-solving procedure. In this study, we analyzed the characteristics of the sociodynamical aspects of the meta-affective factor of the successful problem-solving procedure of small groups in the context of collaboration, which is known that it overcomes difficulties in research methods for meta-affect and activates positive meta-affect, and works effectively in actual problem-solving activities. For this purpose, meta-functional type of meta-affect and transact elements of collaboration were identified as the criterion for analysis. This study grasps the characteristics about sociodynamical function of meta-affect that results in successful problem solving by observing and analyzing the case of the transact structure associated with the meta-functional type of meta-affect appearing in actual episode unit of the collaborative mathematical problem-solving activity of elementary school students. The results of this study suggest that it provides practical implications for the implementation of teaching and learning methods of successful mathematical problem solving in the aspect of affective-sociodynamics.

A Study on the Effect of Teachers' Recognition and Application of 2015 Revised National Curriculum on Their Educational Information Needs: Focusing on High School Common Subjects (교과 교사의 2015 개정 교육과정 적용과 인식이 교육정보요구에 미치는 영향: 고등학교 공통 과목을 중심으로)

  • Gye, Minjeong;Kim, Giyeong
    • Journal of the Korean Society for information Management
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    • v.36 no.1
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    • pp.169-190
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    • 2019
  • This study aims to identify the effects of teachers' recognition and application of 2015 revised national curriculum on their educational information needs in high schools. Several in-depth interviews and a questionnaire survey with the teachers, who were in charge of teaching common courses, such as Korean language, mathematics, English, social studies, and science, in general public high schools in Incheon, were executed for the purpose. As a result, the teachers' recognition and application affected their educational information needs in part. Especially, new demands on small sized copies and learning information sources were identified which were related to the application of 2015 revised national curriculum. Based on the results, we proposed several improvements of school library operations, such as small sized local consortium for sharing resources and providing referral services, in order to strengthen the gateway role of school libraries.

Formal Semantics of Relational Algebra/Calculus for Spatiotemporal Operator in Spatiotemporal Data Model (시공간 데이터 모델에서 시공간 연산자의 관계 수식적 정형의미)

  • Jo, Yeong-So;Kim, Dong-Ho;Ryu, Geun-Ho
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.1
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    • pp.11-20
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    • 1999
  • Because conventional spatial databases process the spatial information that is valid at current time, it is difficult to manage historical information efficiently which has been changed from the past to current. Recently, there are rapid increasing of interest to solve this problem so that makes databases to support historical information as well as spatial management at the same time. It can be eventually used in a various application areas. The formal semantics in a database is used to represent database structures and operations in order to prove the correctiveness of them in terms or mathematics. It also plays an important role in database to design a database and database management system. So in this paper, we suggest spatiotemporal domain, object, data, and spatiotemporal geometric/topological operations. And we not only formalize relational algebra/calculus using formal semantics for a spatiotemporal data model, but also show the example of real orld with them.

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Data Mining based Forest Fires Prediction Models using Meteorological Data (기상 데이터를 이용한 데이터 마이닝 기반의 산불 예측 모델)

  • Kim, Sam-Keun;Ahn, Jae-Geun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.8
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    • pp.521-529
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    • 2020
  • Forest fires are one of the most important environmental risks that have adverse effects on many aspects of life, such as the economy, environment, and health. The early detection, quick prediction, and rapid response of forest fires can play an essential role in saving property and life from forest fire risks. For the rapid discovery of forest fires, there is a method using meteorological data obtained from local sensors installed in each area by the Meteorological Agency. Meteorological conditions (e.g., temperature, wind) influence forest fires. This study evaluated a Data Mining (DM) approach to predict the burned area of forest fires. Five DM models, e.g., Stochastic Gradient Descent (SGD), Support Vector Machines (SVM), Decision Tree (DT), Random Forests (RF), and Deep Neural Network (DNN), and four feature selection setups (using spatial, temporal, and weather attributes), were tested on recent real-world data collected from Gyeonggi-do area over the last five years. As a result of the experiment, a DNN model using only meteorological data showed the best performance. The proposed model was more effective in predicting the burned area of small forest fires, which are more frequent. This knowledge derived from the proposed prediction model is particularly useful for improving firefighting resource management.

Symbol Sense Analysis on 6th Grade Elementary School Mathematically Able Students (초등학교 6학년 수학 우수아들의 대수 기호 감각 실태 분석)

  • Cho, Su-Gyoung;Song, Sang-Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.937-957
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    • 2010
  • The purpose of this study is to discover the features of symbol sense. This study tries to sum up the meaning and elements of symbol sense and the measures to improve them through documents. Also based on this, it analyzes the learning conditions about symbol sense for 6th grade mathematically able students and suggests the method that activates symbol sense in the math of elementary schools. Considering various studies on symbol sense, symbol sense means the exact knowledge and essential understanding in a comprehensive way. Symbol sense is an intuition about symbols that grasps the meaning of symbols, understands the situation of question, and realizes the usefulness of symbols in resolving a process. Considering all other scholars' opinions, this study sums up 5 elements of the symbol sense. (The recognition of needs to introduce symbol, ability to read the meaning of symbols, choice of suitable symbols according to the context, pattern guess through visualization, recognize the role of symbols in other context) This study draws the following conclusions after applying the symbol questionnaires targeting 6th grade mathematically able students : First, although they are math talents, there are some differences in terms of the symbol sense level. Second, 5 elements of the symbol sense are not completely separated. They are rather closely related in terms of mainly the symbol understanding, thereby several elements are combined.

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The Adoption Model of Institutional Repositories: Which Constructs Attract Scientists to Share Their Research Outputs? (기관리포지터리 수용모형 연구: 과학분야 연구자를 중심으로)

  • Hwang, Hyekyong;Lee, Jee Yeon
    • Journal of the Korean Society for information Management
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    • v.34 no.2
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    • pp.47-80
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    • 2017
  • The purpose of this study is to develop an adoptive model of institutional repositories (IRs) by identifying the key factors affecting adoptive intention of IRs and explaining the relations among these factors. Through a survey of 270 researchers and 12 in-depth interviews in the field of physics, mathematics, and life science in Korea, performance expectancy, perceived risks, socio-organizational influence, and individual characteristics were found to have substantial influences on the adoptive intention of IRs. Among the key factors, individual characteristics showed the greatest effect on the adoptive intention of IRs, followed by performance expectancy and other socio-organizational influences except for the perceived risks. Strategies to enhance the adoptive intention of IRs based on analyses of the results were suggested, in terms of the reformation of research assessment system at the national level, strengthening of role of the operational institution, and the need for voluntary scientists-participating service.

The Sex-Related Differences of Relationships between 2D : 4D Ratio and Electroencephalographic Coherence in Patients with Schizophrenia Compared with Controls (조현병 환자에서 성별에 따른 검지 대 약지의 길이 비율과 뇌파 동시성의 관련성)

  • Choi, Byungha;Lee, Yu Sang;Han, Eun-Seun;Kim, Seongkyun;Jeong, Jaeseung;Lee, Seungyeoun;Kim, Bum Joon
    • Korean Journal of Biological Psychiatry
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    • v.21 no.4
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    • pp.151-160
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    • 2014
  • Objectives Prenatal testosterone is known to influence both cerebral laterality and 2nd to 4th digit ratio (2D : 4D). Epigenetic changes are thought to play some role in it. We studied sex-related differences between 2D : 4D and cerebral laterality in patients with schizophrenia and controls to examine the effects of prenatal testosterone in the development of schizophrenia. Methods Forty one men (18 schizophrenic patients and 23 controls) and 40 women (17 schizophrenic patients and 23 controls) were recruited from one psychiatric hospital in Korea. The 2D : 4D and electroencephalographic (EEG) coherence in 19 channels (66 pairs of interhemispheric coherence and 54 pairs of intrahemispheric coherence) were measured. The sex-related statistical analyses between 2D : 4D and EEG coherence in controls and patients with schizophrenia were performed using multiple regression. Results In male patients, the relationship between 2D : 4D and right intrahemispheric EEG coherence showed mainly positive correlation in delta and theta frequency bands, while it showed negative correlation in male controls. In female patients, the relationship between 2D : 4D and interhemispheric EEG coherence showed stronger positive correlation in alpha and beta frequency bands, while it showed weaker positive correlation in female controls. Conclusions Low prenatal testosterone may play certain roles in altered correlation between 2D : 4D and cerebral laterality in schizophrenia and the development of schizophrenia by epigenetic mechanism.

The characteristics of lesson design prepared by pre-service teachers according to the structural changes of lesson design template (수업 설계안 구조 변화에 따른 예비교사들의 수업 설계 특징 분석)

  • Lee, Seon Young;Han, Sunyoung
    • The Mathematical Education
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    • v.60 no.1
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    • pp.77-110
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    • 2021
  • In this study, a student participation-centered class based on student mathematical thinking as a the meaningful subject was called a student thinking-based math class. And as a way to support these classes, I paid attention to lesson design. For student thinking-based mathematics classes, it is necessary not only to anticipate student thinking and teacher feedback, but also to plan in advance how to properly arrange and connect expected student responses. The student thinking-based lesson design template proposed in this study is a modified three-step(introduction, main topic, summary) lesson design template. The reason for revising the existing design template is that it has limitation that it cannot focus on mathematical thinking. Using the conceptual framework of student thinking-based mathematics lesson as a lens, the difference between the three-step lesson design prepared by pre-service teachers and the students' thinking-based lesson design prepared by the same pre-service teachers was analyzed. As a result of planning lessons using the student thinking-based lesson design, more attention was paid to the cognitive and social engagement of students. In addition, emphasis was placed in the role of teachers as formative facilitator. This study is of significant in that it recognizes the importance of classes focusing on students' mathematical thinking and provides tools to plan math classes based on students' thinking.