• Title/Summary/Keyword: 수학문제해결능력

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A Study on Constructing the Model of Problem Based Learning in the View of Situated Learning (문제중심 학습의 모델 설정)

  • Shin, Hyun-Sung;Yun, Jae-Ueun
    • Journal of the Korean School Mathematics Society
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    • v.10 no.3
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    • pp.401-413
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    • 2007
  • This study was some part of the main program making better the lessons in the classroom in which those should focus on the creative and self-leading method. The purpose of study was to create the model of Problem Based Learning and investigate its efficiency For the purpose, those researchers tried to reform the Myers' PBL model through the pilot experiment and could get the Model of Korean School PBL appropriate to the our classroom situations. Thirty six students from the enriched class in the junior high school 3rd grades was involved in the experiment for 8 weeks. The results showed that the experimental group had statistically significant difference in the real problem solving test and attitude test. Specially, those students also showed that the ability to translate the variety of problem situations mathematically was so excellent and they also had their own technique to generate the understand of problem solving situations, but they aid not show the significant ability to pose the meaningful problem.

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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.

An Investigation of Two Seventh Graders' Modification of their Multiplicative Reasoning for Solving Combinatorial Problems and their Reciprocal Interactions with Represented Symbols (중학교 1학년 학생들의 '경우의 수' 문제 해결과정에서 나타나는 표현기호와의 상호작용을 통한 곱셈추론 양식의 변화)

  • Shin, Jae-Hong;Lee, Joong-Kweon
    • School Mathematics
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    • v.11 no.3
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    • pp.351-368
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    • 2009
  • This study presents data from a year-long teaching experiment which illustrate how two seventh graders modified their multiplicative thinking and interacted with their representing symbols in the context of combinatorial problem situations. Damon was at the process of construction of recursively multiplicative thinking by modifying his multiplicative reasoning, but Carol appeared to remain at the stage of a binary multiplicative scheme. The two students' struggles with their representing symbols or represented symbols by the teacher show that even well-organized symbolic systems from teachers' perspective do not necessarily help students advance their mathematical capacity.

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Comparison of Mathematically Gifted Students and Non-gifted Students in Perception of Learning Environments and Affective Characteristics (수학영재학생들과 일반학생들의 학습관련 인식과 정의적 특성 비교)

  • Lee, Sae-Na;Yi, Seung-Hun;Han, Suk-Sil
    • Korean Journal of Child Studies
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    • v.30 no.5
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    • pp.73-85
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    • 2009
  • The purpose of this research was to compare mathematically gifted students with non-gifted students in perception of learning environments, learning ability beliefs, and preference for problem-solving and task. Thirty-seven mathematically gifted students and 75 general students in middle school completed questionnaires about perceptions about mathematics. Data were analyzed by ${\chi}^2$ test and t-test. Compared with general students, mathematically gifted students estimated their talents for mathematics higher, studied mathematics more, expended more time and effort to solving difficult problems, put learning mathematics itself as their primary purpose for studying mathematics and regarded inappropriate environments as the major obstacle to mathematics study. Mathematically gifted students perceived their parents' support higher, solved problem creatively, and had higher preference for challenging tasks.

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The 6th Graders' Graph Interpretation and its Teaching Methods (초등학교 6학년 학생들의 그래프 해석 및 지도 방안)

  • Jo, Ah;Lee, Kwang-Ho;Choi, Sung Taek
    • Education of Primary School Mathematics
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    • v.17 no.2
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    • pp.113-125
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    • 2014
  • The purpose of the study is to examine how the 6th graders interpret graphs, and on basis of the research, to seek for guidance on ways to improve their analysis capabilities. All the students from two classes of D elementary school in Busan became the target to examine how to interpret graphs. On the basis of the result, 6 students who characterized by graph interpretation got an in-depth interview and the outcome was analyzed in detail. The students are able to understand both quantitative and qualitative meaning of graphs and they learned practicality while they think of graphs connecting with real life, most of all they have been interested in interpreting the meaning of graphs.

A study on the teachers' awareness for mathematical gifted education using technology (테크놀로지를 활용한 수학영재교육에 대한 교사들의 인식)

  • Lee, Heon-Soo;Park, Hyung-Bin
    • Journal of the Korean School Mathematics Society
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    • v.14 no.1
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    • pp.101-122
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    • 2011
  • In this paper, we investigated teachers' awareness for the gifted education using technology. We chose teachers who were taking a course(60 hours) in the gifted education at Educational Training Institute in Chonnam National University, and analyzed their awareness for gifted education using technology. We found teachers' awareness as followings. First, teachers think that their ability using technology is contained ability developing and performing program for the gifted education. Second, using technology in the gifted education have an effect on ability of inventively solving problem and extension of thinking power of the gifted. Third, the gifted education using technology is helpful to developing abilities of the gifted, which are intuitional discernment, organizing information, space perception and visualization. Also, that is helpful to developing fluency, flexibility and uniqueness of the gifted in terms of sub-factors of creativity (fluency, flexibility, uniqueness, sophistication).

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A Study on Desirable Management of College Mathematics through the Change of Mathematics Recognition in Engineering Freshmen (공과대학 신입생들의 수학에 대한 인식변화에 따른 대학수학 교육방향 연구)

  • Lee, Jung Rye
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.513-532
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    • 2015
  • In order to suggest desirable management of college mathematics for freshmen in middle level engineering college, we analyse the change of mathematics recognition between 2011 year and 2015 year freshmen who took college scholastic ability test which are based on the national mathematics curriculum 7th and 7th revision, respectively. In A university, 2011 year and 2015 year engineering freshmen were taken basic mathematical ability test and given the survey for the recognition of mathematics and college mathematics. Research results are as follows: First of all, middle level engineering freshmen were poor at basic mathematical ability. The change of mathematics recognition appeared in the level of mathematics ability and the effort for college mathematics class. Moreover middle level engineering freshmen recognize college mathematics as a basic subject for engineering and hope teacher-directed learning in college mathematics class. For the success of college mathematics in engineering college, this study suggests basic mathematical ability test and the survey for the recognition of mathematics and college mathematics. We also suggest that college mathematics class must be focused on basic mathematical ability improvement and self-directed learning.

A study on analyzing the improvement of the students' estimation capabilities of length measurement in measurement instruction with various uses of estimation strategy (초등학생들의 다양한 어림 전략을 통한 길이 어림 분석)

  • Lee, SooJin;Kim, Min Kyeong
    • Education of Primary School Mathematics
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    • v.20 no.1
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    • pp.1-18
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    • 2017
  • The purpose of this study is the reorganization of the curriculum on the measurement, a part of the second grade math curriculum, for the improvement of the estimation capability in the elementary school students. Research questions were as follows: (1) how are the estimation capabilities of the students who have taken lessons on the diversified estimation strategies? and (2) how are the mathematical writing capabilities of the students who have taken lessons on the diversified estimation strategies? The study using reconstructed lessons was conducted on 18 second grade students in an elementary school located in Seoul. Results show that the students' estimation capabilities and have improved. They started to use 'about' when writing estimation results, different from writing the accurate measurements. Measurement errors were gradually reduced, ending up with a student who could accurately estimate exactly 1m. In addition, their estimation capabilities in using appropriate estimation strategy and writing skills describing the estimation strategy have improved.

The Effects of Number-Related Fairy Tales on Young Children's Mathematical Inquiry Skills (수 관련 동화가 유아의 수리 탐구 능력에 미치는 효과)

  • Lim, Soon Hwa;Kwon, Eun Ju
    • Korean Journal of Childcare and Education
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    • v.1 no.1
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    • pp.37-58
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    • 2005
  • The purpose of this study was to examine whether or not the use of number-related fairy tales had any effects on young children's mathematical inquiry skills in a bid to help facilitate their development of mathematical capabilities. The subjects in this study were 30 preschoolers who were four years old in Western age and attended G kindergarten in Jung-gu, Ulsan. The instrument used to assess their mathematical inquiry skills was Choi Hye-jin(2003)'s Preschooler Math Capability Inventory. The collected data wee analyzed with SPSS Win 11.5 program, and analysis of covariance was utilized. The findings of the study were as follows: The application of number-related fairy tales turned out to be effective in developing the young children's abilities to figure out the regularity of things, conception of number, geometrical abilities, measurement abilities and mathematical inquiry skills of the preschoolers. The above-mentioned findings suggested that the application of number-related fairy tales was one of good teaching methods to step up the development of young children's mathematical inquiry skills. Specifically, that could inner motivation to preschoolers in mathematical contexts and take their problem-solving skills to another level.

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A case study on the mathematical problem solving performance of simultaneous equations for the students from a remedial course (특별보충과정 학생들의 문제해결수행에 대한 사례연구)

  • Ko, Sang-Sook;Lee, Sang-Hui
    • Journal of the Korean School Mathematics Society
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    • v.9 no.1
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    • pp.105-120
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    • 2006
  • The Seventh Curriculum makes sure that those students who don't have a proper understanding of contents required at a certain stage take a remedial course. But a trend contrary to the intention is formed since there is no systematic education for such a course and thus more students get to fall into the group of low achievement. In particular, solving a simultaneous equation in a rote way without understanding influences negatively students' achievement. Schoenfeld introduced the basic elements of one's own mathematical problem solving process and behavior, referred to Polya's. Employing Schoenfeld's strategy, this study aimed to induce students' active participation in math classes, as well as to focus on a mathematical problem solving process during the study. Two students were selected from a remedial course at 00 Middle School and administered with a qualitative case study method over 17 lessons, each of which lasted for 30 minutes. In the beginning, they used such knowledge as facts and definitions a lot. There was a tendency of their resorting to intuitive knowledge more when they lacked basic knowledge or met with a difficult question. As the lessons were given, however, they improved their ability to implement algorithm procedures and used more familiar ones with the developed common procedures in the area of resources.

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