• Title/Summary/Keyword: 수학문제해결능력

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An Analysis on Behavior Characteristics between Gifted Students and Talented Students in Open-end Mathematical Problem Solving (개방형 문제 해결과정에서 수학 영재아와 수학 우수아의 행동특성 분석)

  • Shin In-Sun;Kim See-Myung
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.33-59
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    • 2006
  • This study is intended to reconsider the meaning of the education for gifted/talented children, the foundation object of science high school by examining the behavior characteristics between gifted students and talented students in open-end mathematical problem solving and to provide the basis for realization of 'meaningful teaming' tailored to the learner's level, the essential of school education. For the study, 8 students (4 gifted students and 4 talented students) were selected out of the 1 st grade students in science high school through the distinction procedure of 3 steps and the behavior characteristics between these two groups were analyzed according to the basis established through the literature survey. As the results of this study, the following were founded. (1) It must be recognized that the constituent members of science high school were not the same excellent group and divided into the two groups, gifted students who showed excellence in overall field of mathematical behavior characteristics and talented students who had excellence in learning ability of mathematics. (2) The behavior characteristics between gifted students and talented students, members of science high school is understood and a curriculum of science high school must include a lesson for improving the creativity as the educational institutions for gifted/talented students, unlike general high school. Based on these results, it is necessary to try to find a support plan that it reduces the case which gifted students are generalized with common talented students by the same curriculum and induces the meaningful loaming to learners, the essential of school education.

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A Method of Graphic Representation of Mathematical Sentences for Game Generation (게임세대를 위한 수학문장의 그래픽 표현방법)

  • Chang, Hee-Dong
    • Journal of Korea Game Society
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    • v.12 no.5
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    • pp.5-12
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    • 2012
  • The information represented by graphic is preferred more than by text to the game generation familiar to computer games in the cognitive style. The learning to solve the math problems represented by graphic is significantly effective to improve learner's problem-solving power in math education. In this paper, we proposed a method of graphic representation of mathematical sentences for effective learning of the game generation. The proposed method arranges the unit informations in the logical structure and represent the logical interrelation between the informations by symbols, line segments, or arrows using the graphic elements with good visibility for the game generation to recognize easily and to understand accurately the logical meaning. The proposed method is able to represent accurately the math sentences until the detail level that appears the tense and the voice of the sentences differently from the previous graphic representation method's ability. The proposed method could be used as learning tools and used widely to represent graphically mathematical informations for the instructional scaffolding of an educational game in oder that the game generation could learn effectively.

An Effectiveness Analysis of the Development and Application of a Prescribed Program for the Mixed Calculation of Natural Numbers (자연수 혼합계산에서 처방 프로그램의 개발.적용에 대한 효과 분석)

  • Jeong, Gi-Geun;Kim, Min-Jeong;Roh, Eun-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.10 no.4
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    • pp.471-485
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    • 2007
  • In this study, a 27 class hour prescribed program for the fourth grade students is to be developed and applied by extracting the contents associated with basic operations studied prior to the fourth grade level of mixed calculations. After analyzing the results of the research, the following conclusions are obtained. First, the prescribed program for mixed calculations brought about the improvement in the mixed calculation problem solving ability of the students. Second, applying the prescribed program for mixed calculation resulted in an increase in students' interest and concentration on problem solving. In synthesis of the above conclusions, the development and application of the prescribed program for mixed calculation improved the students' concentration on the problem and the students' problem solving ability.

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An Analytic Study of Mathematical Problem-Posing Activities for Two-hour Classes - Focusing on 3rd Grade Elementary School Children - (연차시 수업을 통한 수학 문제 만들기 활동 분석 연구 - 초등학교 3학년을 중심으로 -)

  • Shin, Su-Jin;Lim, Mun-Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.1
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    • pp.43-64
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    • 2010
  • This study aimed to foster the learning abilities of mathematics, that is, along with the formation of a sure mathematical concept, extending the powers of doing mathematics, and bringing the creativities for 3rd grade elementary school children. In order to achieve these objects, we have executed mathematical classes for two consecutive hours of 16 times using the teaching model of [Learning contents in textbook]$\rightarrow$[The first problem Posing]$\rightarrow$[Problem solving to childrens' posing some problems]$\rightarrow$[Advanced problem posing] to 3rd grade school children during the first semester of 2009. In this paper, we analyzed problems that are made by children focusing on the four fundamental rules +, -, ${\times}$, $\div$ of arithmetic, with the view points of problem's completion, fluencies, flexibilities, buildings of concept, originalities and using materials. As a result of the comparative analysis of the first problems and advanced problems made by the children, the first problems were revealed to be rather better in of problem's completion and fluencies. And the flexibilities were improved in the division and multiplication classes carried on. Setting up the experimental and comparative class, we compared to the scholastic achievement of two classes for the beginning and end in the first semester. In the result, the former was improved in the scholastic achievement more than the latter.

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A Study on the Sets of Behaviors of Cognitive Dimension in Mathematics Assessment Framework (수학과 평가에서의 인지적 행동 영역 분류에 대한 고찰)

  • Son, Hong-Chan;Ko, Ho-Kyoung
    • Journal of the Korean School Mathematics Society
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    • v.10 no.4
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    • pp.535-555
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    • 2007
  • The framework for mathematics assessments traditionally has been organized around two dimensions, a content dimension specifying the subject matter to be assessed within mathematics, and a cognitive dimension specifying the domains or thinking processes to be assessed. The cognitive dimensions describe the sets of behaviors expected of students as they engage with the mathematics content. The purpose of this paper is an attempt to make diversify and concrete the sets of behaviors by reviewing the current strands suggested by CAST(College Scholastic Ability Test), assessment framework developed by KEDI, and NAEA(National Assessment of Educational Achievement), and as famous foreign tests PISA, TIMSS, NAEP and NCTM.

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The Case study on Analysis of Capstone Design Education based on NCS(National Competencies Standard) Basic workplace skills (NCS직업기초능력에 기반한 종합설계교육 사례 분석에 관한 연구)

  • Jang, Woongeun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.2
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    • pp.483-496
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    • 2018
  • NCS (National Competency Standards) has emerged as an issue of great importance amongst Korean universities and corporations. Although previously used mostly for vocational education purposes at colleges, NCS is currently receiving an increasing amount of attention from 4-year universities as well. In the ever-evolving information economy, the basic workplace skills defined by NCS, which include soft skills such as communication skills, problem-solving skills, and interpersonal skills, have now become more important than specific technical skills. This study analyzes the correlation between the basic workplace skills of NCS with participation in Formula SAE activities, a common component of Capstone design courses across North America and Europe. Data are derived from site visits to Formula SAE competitions, competition-related documents drafted by student participants, and questionnaires administered to student participants at the Formula SAE Lincoln completion and at the Korea KSAE competition. From the study findings, we claim that the basic workplace skills of NCS are closely correlated to participation in Formula SAE activities. Through a survey designed to measure the degree to which Formula SAE activities can enhance an individual's NCS Basic Workplace Skills, we find that these activities overall improved NCS basic workplace skills averaging 4.0 points above in the Likert 5-point scale. For reference the mathematical skills, communication skills, and problem-solving skills displayed statistically significantly correlation with NCS but the remaining 7 skills did not show a statistically strong correlation with NCS comparatively.

Effects of the Mathematical Modeling Learning on the Word Problem Solving (수학적 모델링 학습이 문장제 해결에 미치는 효과)

  • Shin, Hyun-Yong;Jeong, In-Su
    • Education of Primary School Mathematics
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    • v.15 no.2
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    • pp.107-134
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    • 2012
  • The purpose of this study is to investigate the effectiveness of two teaching methods of word problems, one based on mathematical modeling learning(ML) and the other on traditional learning(TL). Additionally, the influence of mathematical modeling learning in word problem solving behavior, application ability of real world experiences in word problem solving and the beliefs of word problem solving will be examined. The results of this study were as follows: First, as to word problem solving behavior, there was a significant difference between the two groups. This mean that the ML was effective for word problem solving behavior. Second, all of the students in the ML group and the TL group had a strong tendency to exclude real world knowledge and sense-making when solving word problems during the pre-test. but A significant difference appeared between the two groups during post-test. classroom culture improvement efforts. Third, mathematical modeling learning(ML) was effective for improvement of traditional beliefs about word problems. Fourth, mathematical modeling learning(ML) exerted more influence on mathematically strong and average students and a positive effect to mathematically weak students. High and average-level students tended to benefit from mathematical modeling learning(ML) more than their low-level peers. This difference was caused by less involvement from low-level students in group assignments and whole-class discussions. While using the mathematical modeling learning method, elementary students were able to build various models about problem situations, justify, and elaborate models by discussions and comparisons from each other. This proves that elementary students could participate in mathematical modeling activities via word problems, it results form the use of more authentic tasks, small group activities and whole-class discussions, exclusion of teacher's direct intervention, and classroom culture improvement efforts. The conclusions drawn from the results obtained in this study are as follows: First, mathematical modeling learning(ML) can become an effective method, guiding word problem solving behavior from the direct translation approach(DTA) based on numbers and key words without understanding about problem situations to the meaningful based approach(MBA) building rich models for problem situations. Second, mathematical modeling learning(ML) will contribute attitudes considering real world situations in solving word problems. Mathematical modeling activities for word problems can help elementary students to understand relations between word problems and the real world. It will be also help them to develop the ability to look at the real world mathematically. Third, mathematical modeling learning(ML) will contribute to the development of positive beliefs for mathematics and word problem solving. Word problem teaching focused on just mathematical operations can't develop proper beliefs for mathematics and word problem solving. Mathematical modeling learning(ML) for word problems provide elementary students the opportunity to understand the real world mathematically, and it increases students' modeling abilities. Futhermore, it is a very useful method of reforming the current problems of word problem teaching and learning. Therefore, word problems in school mathematics should be replaced by more authentic ones and modeling activities should be introduced early in elementary school eduction, which would help change the perceptions about word problem teaching.

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.

The Effect of Physical Computing Education to Improve the Convergence Capability of Secondary Mathematics-Science Gifted Students (중등 수학과학 영재를 위한 피지컬컴퓨팅 교육이 융합적 역량 향상에 미치는 영향)

  • Kim, Jihyun;Kim, Taeyoung
    • The Journal of Korean Association of Computer Education
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    • v.19 no.2
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    • pp.87-98
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    • 2016
  • Our study is composed of Arduino robot assembly, board connecting and collaborative programming learning, and it is to evaluate their effect on improving secondary mathematics-science gifted students' convergence capability. Research results show that interpersonal skills, information-scientific creativity and integrative thinking disposition are improved. Further, by analyzing the relationship between the sub-elements of each thinking element, persistence and imagination for solving problems, interest of scientific information, openness, sense of adventure, a logical attitude, communication, productive skepticism and so on are extracted as important factors in convergence learning. Thus, as the result of our study, we know that gifted students conducted various thinking activities in their learning process to solve the problem, and it can be seen that convergence competencies are also improved significantly.

Designing Content Elements of the Programming Curriculum as a Instrumental Subject for Gifted Science High School (과학영재 고등학교 도구교과로서의 프로그래밍 교육과정 내용요소 설계)

  • Kim, JongHye
    • The Journal of Korean Association of Computer Education
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    • v.17 no.4
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    • pp.1-11
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    • 2014
  • In this study, contents of programming curriculum were designed as instrumental subjects for scientifically gifted students, not for IT gifted ones. Firstly, the programming curriculum consisted of 3 sections; Programming Understanding, Object-Oriented Programming, and Simulation Programming as a result of two semesters. Then, the lectures including project-based and problem-solving tasks were given to scientifically gifted students in a high school during one semester to verify whether they could apply the contents to studies and researches in math or science or not. As a result of this study, the students could improve numerical analysis and simulation program development capabilities in math or science as well as the problem-solving ability based on computational thinking. Moreover, it was proved that the students changed their perception about programing learning. They started to think that programing learning was necessary to studies and researches in math or science. The results of this study propose guideline to design programming curriculum as instrumental subjects for scientifically gifted students.

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