• Title/Summary/Keyword: 수학문제해결력

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Research on Mentorship education for gifted students (영재 학생들의 Mentorship교육에 관한 연구)

  • Heo, Jung-Yun;Lee, Sang-Chun;Choi, Kyu-Seong
    • Journal of Gifted/Talented Education
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    • v.13 no.3
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    • pp.45-68
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    • 2003
  • The purpose of this research is to find out the usefulness of the Mentorship program for gifted science students. The usability has been proved by the results from a survey of a group of mentorship education students. Among those surveyed some are the students a gifted science education institute in university. Students have improved their own study ability, creative problem solving ability by performing the experiment planning on their own, and presented their papers through Mentorship program, and it is possibly observed that they have their own dignity as scientist by performing the actual science activities. Also, with the result of the survey, the effectiveness of the Mentorship program is very positive onto the students. Mentorship program is one of the educational method to widen the students' experience chances, and the depth of thought, and improve the scientific ability and creative problem solving ability.

An Analysis of Problem Posing in the 5th and 6th Grade Mathematics Textbooks and Errors in Problem Posing of 6th Graders (5, 6학년 수학교재의 문제만들기 내용 및 6학년 학생들의 문제만들기에서의 오류 분석)

  • Kim, Gyeong Tak;Ryu, Sung Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.2
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    • pp.321-350
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    • 2013
  • The purpose of this study to analysis of problem posing in 5th and 6th grade mathematics textbooks and to comprehend errors in the problem posing activity of 6th graders in elementary school. For solving the research problems, problem posing contents were extracted from mathematics textbooks and practice books for the 5th and 6th grade of elementary school in the 2007 revised national curriculum, and they were analyzed, according to each grade, domain and type. Based on the analysis results, 10 problem posing questions which were extracted and developed, were modified and supplemented through a pre-examination, and a questionnaire that problem posing questions are evenly distributed, according to each grade, domain and type, was produced. This examination was conducted with 129 6th graders, and types of error in problem posing were analyzed using collected data. The implications from the research results are as follows. First, it was found that there was a big numerical difference of problem posing questions in the 5th and 6th grade, and problem posing questions weren't properly suggested in even some domains and types, because the serious concentration in each grade, type and domain. Therefore, textbooks to be developed in the future would need to suggest more various and systematic of problem posing teaching learning activity for each domain and type. Second, the 'error resulting from the lack of information' occurred the most in the problems that 6th graders posed, followed by the 'error in the understanding of problems', 'technical errors', 'logical errors' and 'others'. This implies that a majority of students missed conditions necessary for problem solving, because they have been used to finding answers to given questions only. For such reason, there should be an environment in which students can pose problems by themselves, breaking from the way of learning to only solve given problems.

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A Design of Integral Sliding Mode Suspension Controller to Reject the Disturbance Force Acting on the Suspension System in the Magnetically Levitated Train System (자기부상 열차 시스템에서 추진 장치에서 발생하는 부상 간섭력의 영향을 제거하기 위한 적분형 Sliding Mode 부상 제어기 설계)

  • Lee, Jun-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.12
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    • pp.1152-1160
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    • 2007
  • In this paper we deal with a design of integral sliding mode controller to reject the disturbance force acting on the suspension system in the magnetically levitated system which is propelled by the linear induction motor. The control scheme comprises an integral controller which is designed for achieving zero steady-state error under step disturbances, and a sliding mode controller which is designed for enhancing robustness under plant uncertainties. A proper continuous design signal is introduced to overcome the chattering problem. The disturbance force produced by the linear motor is formularized by using a curve fitting of the experimental raw data. Computer simulations show the effectiveness of the designed integral sliding mode controller to reject the disturbance force.

Mathematics Teachers' Perceptions about and Implementation of Constructed-Response Assessment (수학교사들의 서술형.논술형 평가에 대한 인식 및 실행 조사)

  • Lee, Sunbi;Kim, Gooyeon;Noh, Sunsook;Kim, Min Kyeong;Kim, Rae Young
    • Journal of the Korean School Mathematics Society
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    • v.17 no.2
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    • pp.275-290
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    • 2014
  • This study aims to examine how secondary mathematics teachers perceive and how they use constructed-response assessment in their mathematics classrooms. For this purpose, we conducted a survey in Seoul, Inchun, and Gyeonggi-do; 189 teachers participated in the survey. Results from the data analysis suggest as follows: a) the secondary mathematics teachers participated in the survey seem to consider the primary goals of assessment through constructed-response items as evaluating student achievement and the development of students' thinking and creativity; b) the teachers perceive that constructed-response assessment would promote students' mathematical thinking and problem solving skills; c) in general, constructed-response items were included in both performance assessment(less than 20 percent) and paper-and-pencil test(20 to 40 percent); and d) constructed-response items were primarily used as a part of regular examination, rather than as an independent assessment.

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Development of Meta Problem Types to Improve Problem-solving Power (문제 해결력 신장을 위한 베타 문제 유형 개발)

  • 현종익
    • Education of Primary School Mathematics
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    • v.2 no.1
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    • pp.3-13
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    • 1998
  • In mathematics education we have focused on how to improve the problem-solving ability, which makes its way to the new direction with the introduction of meta-cognition. As meta-cognition is based on cognitive activity of learners and concerned about internal properties, we may find a more effective way to generate learners problem-solving power. Its means that learners can regulate cognitive process according to their gorls of learning by themselves. Moreover, they are expected to make active participation through this process. If specific meta problems designed to develop meta-cognition are offered, learners are able to work alone by means of their own cognition and regulation while solving problems. They can transfer meta-cognition to the other subjects as well as mathematics. The studies on meta-cognition conducted so far may be divided into these three types. First in Flavell([3]) meta-cognition is defined as the matter of being conscious of one's own cognition, that is, recognizing cognition. He conducted an experiment with presschoolers and children who just entered primary school and concluded that their cognition may be described as general stage that can not link to specific situation in line with Piaget. Second, Brown([1], [2]) and others argued that meta-cognition means control and regulation of one's own cognition and tried to apply such concept to classrooms. He tried to fined out the strategies used by intelligent students and teach such types of activity to other students. Third, Merleary-Ponty (1962) claimed that meta-cognition is children's way of understanding phenomena or objects. They worked on what would come out in children's cognition responding to their surrounding world. In this paper following the model of meta-cognition produced by Lester ([7]) based on such ideas, we develop types of meta-cognition. In the process of meta-cognition, the meta-cognition working for it is to be intentionally developed and to help unskilled students conduct meta-cognition. When meta-cognition is disciplined through meta problems, their problem-solving power will provide more refined methods for the given problems through autonomous meta-cognitive activity without any further meta problems.

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The effects of step learning according to level mainly performed at math room on the growth of problem-solving ability (수학실 중심의 수준별 단계학습이 문제해결력에 미치는 영향)

  • 박기석;신숙철
    • Journal of the Korean School Mathematics Society
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    • v.2 no.1
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    • pp.79-91
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    • 1999
  • The aim of this study focused on student-centered learning not teacher-centered teaching in middle school math classes. This study was performed to check the growth of students' problem-solving abilities, learning attitudes and changes in learning motivation among affective characteristics. The results of this study is as followings: 1) The controlled group a heterogeneous group which had classes in a math room, had more meaningful growth than the uncontrolled group. The results of the study show that the problem-solving abilities of the high-leveled group were better than those of the low-leveled group. 2) The controlled group has shown meaningful difference in their mean in learning aptitude test and attitude test converted their score into 100 points than uncontrolled group, and various kinds of learning materials suitable for problem solving are proved as a good learning factor to induce students' motivation and interest. 3) Students prefer to have classes in a math room to the small-sized and large-numbered classrooms. The atmosphere in a math room is more suitable to improving their problem-solving abilities. In this context, the classes performed in a math room are fairly positive. Consequently, students' leveled learning activities performed in a math room can get their learning motivation and attention from those who are lack of interest and think math is difficult and be effective to increase their problem-solving abilities as a learning method for acquiring the whole course of solving the problems.

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An Analysis on the Past Items of Probability and statistics in Secondary School Mathematics Teacher Certification Examination (수학과 중등임용 확률과 통계학 기출문항 분석)

  • Kim, Changil;Jeon, Youngju
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.387-404
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    • 2017
  • In this paper, in the last 4 years(2014~2017 school year), we classified the probability and statistical items based on the evaluation scope of the mathematics subject content knowledge which were presented by the Korea Institute for Curriculum and Evaluation, and the classified items were analyzed. As a result, First, in order to induce normalization of the probability and statistical curriculum, four assessment field should be evenly distributed. Second, integrated thinking and comprehensive analytical thinking assessment is required. Third, item an epilogue should be used to measure mathematical thinking and logical competence. Fourth, the ratio of the number of items in probability and statistics to the number of that was 7.7%~10.0%, and the ratio according to the item weighting was 5.0%~7.5%. Fifth, it maintains the policy of stabilizing a good the level of difficulty of the items. Finally, probability and statistical assessment should focus on measuring problem solving ability from an inductive point of view.

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Multimedia Scaffolding Tools to Help Children's Scientific Investigation in a Virtual Field (가상 필드에서 초등학생들의 과학적 탐구를 도와주는 멀티미디어 보조 도구)

  • Choo Yongjoo;Park Kyoung Shin
    • The KIPS Transactions:PartB
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    • v.12B no.2 s.98
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    • pp.143-150
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    • 2005
  • The Field is a simulated virtual environment specifically designed to assist elementary students learn the basic scientific inquiry skills such as observation, data collection, and generating and verifying hypothesis. Over the last four years, the Field has been used to teach inquiry learning in the context of mathematics and science in an elementary school. During the studies, it was observed that students suffered from problems in navigation, wayfinding, and data collection. First, this papers discusses the problems and the technical aids we have iteratively developed to address these issues. We will then discuss the impact of the technical aids on the student's behaviors.

Development of a Three-Dimensional Analytical Framework for Analyzing Chemistry I Questions on the CSAT and Analysis of Chemistry I Questions (대학수학능력시험 화학 I 문항 분석을 위한 3차원 분석틀 개발과 화학 I 문항 분석)

  • Jihun Park;Sunhyang Park;Jeonghee Nam
    • Journal of the Korean Chemical Society
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    • v.68 no.1
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    • pp.40-53
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    • 2024
  • The study investigates the number and proportion of questions in each area by examining Chemistry I questions from the College Scholastic Ability Test from 2019 to 2022. The analysis was conducted using a three-dimensional framework that included key concepts in chemistry, behavioral domains in chemistry, and behavioral domains in mathematics. The results indicated that Chemistry I questions on the College Scholastic Ability Test had a relatively even distribution of questions across core individual topics, but highly difficult questions were predominantly biased toward stoichiometry. In terms of the behavioral domains in chemistry, there was a remarkably low proportion of questions related to problem recognition and hypothesis establishment, as well as designing research and implementing research. Conversely, highly difficult questions were more inclined towards drawing conclusions and evaluations. Regarding behavioral domains in mathematics, there was a limited number of questions addressing heuristic reasoning and deductive reasoning. On the other hand, high-difficulty questions favored internal problem-solving ability. Additionally, certain key concepts in chemistry and behavioral domains in chemistry exhibited a strong correlation with specific behavioral domains in mathematics. This characteristic was particularly evident in questions that encompassed higher-dimensional behavioral domains in mathematics, which students tend to find challenging.

The Influence of the repeated learning of moving picture materials applying 'the development of mathematical power' program on The Self-Directed Learning (수학적 힘의 신장 프로그램을 적용한 교실 수업 동영상 자료 반복 학습이 자기 주도적 학습에 미치는 영향 - 수학 I 을 중심으로 -)

  • Byun Kyung-Hae
    • Communications of Mathematical Education
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    • v.20 no.2 s.26
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    • pp.295-326
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    • 2006
  • Despite the importance of mathematics education, many students in high school have lost their interests and felt difficulties and they don't have 'mathematical' experience with meanings attached because of the entrance examination. This paper attempted to resolve these problems and find the teaching-method with which students can study by themselves with more confidence. Nowadays students' use of Internet is very popular. After develop 'the development of mathematical power' program based on mathematics history, history, science, the application of problems in real world, and self-evaluation, I made students repeat them after making teaching lessons in classroom as moving pictures. Through this processes, I attempted to develop the Self-Directed Learning' ability by making public education substantial. First of all I analyzed the actual conditions on 'Self-Directed Learning' ability in mathematics subject, the conditions of seeing and hearing in Internet learning program, and students' and their parents' interests in Internet education. By analyzing the records, I observed the significance of the introducing mathematics history in mathematics subject in early stager, cooperative-learning, leveled-learning, self-directed learning, and Internet learning. Actually in aspect of applying 'the development of mathematical power' program, at first I made up the educational conditions to fix the program, collected the teaching materials, established the system of teaching-learning model, developed materials for the learning applying Internet mail and instruments of classroom, and carried out instruction to establish and practice mathematics learning plan. Then I applied the teaching-learning model of leveled cooperation and presentation loaming and at the same time constructed and used the leveled learning materials of complementary, average, and advanced process and instructed to watch teaching moving pictures through Internet mail and in the classroom. After that I observed how effective this program was through the interest arid attitude toward mathematics subject, learning accomplishment, and the change of self-directed learning. Finally, I wrote the conclusion and suggestion on the preparation of conditions fur the students' voluntary participation in mathematics learning and the project and application on 'the development of mathematical power' program and repeated learning with the materials of moving pictures in classroom.

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