• Title/Summary/Keyword: 수학문제해결능력

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Investigating Science-contents Problems through Correlation with Tests of Creative Thinking and Integrated Process Skills (과학 탐구력 검사와 창의성 검사와의 관계를 통한 과학영재 선발문항 유형 분석)

  • Park, Min-Jung;Chun, Mi-Ran;Jeon, Dong-Ryul
    • Journal of Gifted/Talented Education
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    • v.19 no.3
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    • pp.565-583
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    • 2009
  • We studied what kind of science-contents problems can also give information on one's creativity for use in the selection of scientifically gifted. 383 7th and 8th graders as subjects, we first analyzed the corelation between the results of creative thinking, scientific attitude, science inquiry, logical thinking and the scientific creativity problem solving skill test. The corelation analysis indicated that science inquiry test could represent other tests except TTCT. We then tested 532 6th graders with TTCT and science inquiry tests concomitantly with the contents- related problems made in such types as naming 20 scientists, writing about a scientist, imagination to overcome a problem, understanding of theory and application and understanding of science laws and application. The results indicated that writing and imagination were most efficient in assessing both the contents and the creativity.

An Analysis on secondary school students' problem-solving ability and problem-solving process through algebraic reasoning (중고등학생의 대수적 추론 문제해결능력과 문제해결과정 분석)

  • Kim, Seong Kyeong;Hyun, Eun Jung;Kim, Ji Yeon
    • East Asian mathematical journal
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    • v.31 no.2
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    • pp.145-165
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    • 2015
  • The purpose of this study is to suggest how to go about teaching and learning secondary school algebra by analyzing problem-solving ability and problem-solving process through algebraic reasoning. In doing this, 393 students' data were thoroughly analyzed after setting up the exam questions and analytic standards. As with the test conducted with technical school students, the students scored low achievement in the algebraic reasoning test and even worse the majority tried to answer the questions by substituting arbitrary numbers. The students with high problem-solving abilities tended to utilize conceptual strategies as well as procedural strategies, whereas those with low problem-solving abilities were more keen on utilizing procedural strategies. All the subject groups mentioned above frequently utilized equations in solving the questions, and when that utilization failed they were left with the unanswered questions. When solving algebraic reasoning questions, students need to be guided to utilize both strategies based on the questions.

An Exploratory Study on differential item functioning of multicultural and North Korea migrant families students, through National Assessment Educational Achievement of mathematics (수학과 국가수준 학업성취도 평가 결과를 통한 다문화.탈북 가정 학생 차별기능문항 분석)

  • Jo, Yun Dong;Kang, Eunjoo;Ko, Ho Kyoung
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.75-94
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    • 2013
  • As part of the education in the pursuit of equity, in this study, we have analyzed the differential item functioning on mathematics assessment through the result of 2011 National Assessment Educational Achievement. For this we used SIBTEST method and M-H method to extract differential item functioning on multicultural and North Korea migrant families students. As a result, 10 items that has the differential functioning were extracted by both methods in three school levels from Elementary, Middle and High School. The result of a exploratory for potential causes of differential functioning on multicultural and North Korea migrant families students through a qualitative analysis of each items that has been extracted, language ability, the complexity of computation and problem-solving process, the curriculum, the problem situation have been discussed. These results will be able to contribute to establishing education policy and designing teaching and learning methods for the multicultural and North Korea migrant families students.

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Development of Standards and Instructional Model of Future Mathematics Classroom (미래 수학 교실 기준과 수업 모형의 개발)

  • Kim, Bumi;Lee, Chong Hee
    • Journal of the Korean School Mathematics Society
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    • v.15 no.4
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    • pp.673-698
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    • 2012
  • In this study, we suggest the standards for future mathematics classroom from environment, teachers, and students aspects. Future mathematics classroom should have the three environmental standards that perform responsible roles and appropriate functions of physical resources and classroom space. In the teacher standards' domain, we presented as a total of eight kinds. Concretely, we proposed the four standards for improvement of mathematical teacher's instructional expertise and the four standards for improvement of abilities of learners. The students standards consist of 4 domain a such as 3 standards of mathematical investigation and problem solving, 3 standards of cooperation and communication, 1 standard of utilization and operation of mathematical technologies and learning support systems, 2 standard of digital ethics and citizenship. Also, we developed the mathematical convergence instruction model and reported the results of its application after the lessons conducted in the classroom equipped with advanced environmental and technologies. We presented the convergence instruction model and scenarios focused on thoughts and actions of teachers and students in the future mathematics classroom.

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A Study on the Development of the Model for the Process-focused Assessment Using Manipulatives -Focused on Middle School Mathematics- (교구를 활용한 수학적 과정의 평가모델 개발에 관한 연구 -중학교 수학을 중심으로-)

  • Choi-Koh, Sang Sook;Han, Hye Sook;Lee, Chang Yean
    • Communications of Mathematical Education
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    • v.27 no.4
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    • pp.581-609
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    • 2013
  • Students' learning processes and mathematical levels should be correctly diagnosed in many different methods of assessment to help students learn mathematics. The study developed the model for the process-based assessment while using manipulatives in the middle school in order to improve problem solving, reasoning and communication which are emphasized in 2009 reformed curriculum as the areas of mathematical process. Identifying the principles of assessment, we created the assessment model for each area and carried out a preliminary study. Based on this, we revised the representative items and the observation checklist and then conducted a main study. Through the results of assessment, we found that students' thinking processes were well presented in scoring rubric for their responses on each item. It meant that the purpose of the assessment as a criterion-referenced test was achieved.

Research Trends in Elementary Mathematics Education: Focused on the Papers Published in Domestic Journals During the Resent Seven Years (초등수학교육 연구동향: 최근 7년간 게재된 국내 학술지 논문을 중심으로)

  • Kim, YuKyung;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.20 no.1
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    • pp.19-36
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    • 2017
  • The purpose of this study was to analyze the research trends of elementary mathematics education in terms of topics, methods, subjects, mathematics content strands, and mathematical competencies. For this purpose, a total of 596 papers published in eight domestic journals during the recent seven years were analyzed. The results of this study showed that the popular research topics included learners' perspectives and abilities, analysis of curriculum and textbooks, and instruction and teaching methods, whereas studies on assessment and technology or manipulative materials did not get much attention. The results also showed that qualitative research methodology was used a lot with focus on students. The mathematics content strand which was most frequently studied was number and operations, and problem solving was most popular among the mathematical competencies. On the basis of these results, this paper includes several implications for the future research direction in elementary mathematics education.

Analysis of Test Items and the Applicants' Responses on the Chemistry Part in the General Science of College Scholastics Ability Test (대학수학능력시험 공통과학 중 화학 영역의 문항 및 응시자 응답 분석)

  • Hong, Mi-Young;Jeon, Kyung-Moon;Lee, Yang-Rak;Yi, Bum-Hong
    • Journal of The Korean Association For Science Education
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    • v.22 no.2
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    • pp.378-386
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    • 2002
  • In this study, the students' responses on the chemistry items of in the general science of College Scholastics Ability Test (CSAT) implemented for the past 3 years since 1999 were investigated. The number of items by content and inquiry process, the average percent correct by content and inquiry process, the distribution of items by the level of percent correct, and the items with high and/or low percent correct were analysed. There were the fewest items in 'environment' area, especially in 'ozon layer', no test item had been made. The most difficult content area was 'acid rain' in 'environment'. By inquiry process, the most number of items belonged to 'analyzing & interpreting data', and 'identifying problems & formulating hypothesis' was the most difficult process. No test item came under the level of 'very difficult', and many items under the 'easy' or 'very easy' level. Students were generally poor at solving test items demanding several concepts, and very good at simply requiring basic concept treated in lower grade. Educational implications are discussed.

A Way of Improving Elementary Pre-service Teachers' Number Sense Based on Computational Thinking (컴퓨팅 사고력 기반 초등예비교사의 수감각 능력 향상 방안)

  • Kim, Hae Gyu;Kim, Chong Woo
    • Journal of The Korean Association of Information Education
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    • v.23 no.4
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    • pp.343-353
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    • 2019
  • The purpose of this study is to analyze the elementary pre-service teachers' preferred strategies while they solve problems which require number sense and to study a way to improve their number sense ability based on computational thinking. In a survey with 57 elementary pre-service teachers using the instrument consisting of two different number sense components, they preferred much more the rule-based strategies to the number sense-based strategies, which was consistent with the prior studies[13][14][20]. To change this situation, we present a way to improve their number sense ability by utilizing the analyzed results and the nine computational thinking components which were suggested by CSTA and ISTE(2011).

A Study on Analysis of American CMP Textbooks in terms of mathematical connectivity -Focused on equations, inequalities, and functions- (수학적 연결성 관점에서 CMP 교과서 분석 -방정식·부등식과 함수 단원을 중심으로-)

  • Park, Jeong Mi;Park, Jang Hee;Lee, Joong Kwoen
    • Journal of the Korean School Mathematics Society
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    • v.20 no.3
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    • pp.277-302
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    • 2017
  • Educational objectives for mathematics in the curriculum revised in 2009 and the curriculum revised in 2015 put great emphasis on practical use of math, but perception of that lacks at schools. Accordingly, this research is recognizing the need for paying attention to curriculum focusing on mathematical connectivity and is inspecting CMP curriculum which has been developed over the years to reinforce problem solving competence and improve communication skills. This study analyzes CMP textbooks published as third edition in 2014 after several revisions, focusing on equations, inequalities and functions. First, this thesis analyzes mathematical connectivity using a new analysis framework which applied the modes of representation(situations, verbal description/ tables/ graphs/ formulae) made by Janvier(1987). Second, this research analyzes connectivities between different units, various sections, other subjects and practical contents related to the real life. The results: CMP textbooks use various practical materials for specific situations. They represent twelve processes of connectivity according to the modes of representation of Janvier. The books also show relationship between equations and functions, between inequalities and functions. And CMP textbooks include other subjects and practical contents.

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An Analysis of Operation Sense in Division of Fraction Based on Case Study (사례 연구를 통한 분수 나눈셈의 연산 감각 분석)

  • Pang, Jeong-Suk;Lee, Ji-Young
    • School Mathematics
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    • v.11 no.1
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    • pp.71-91
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    • 2009
  • The purpose of this study was to analyze operation sense in detail with regard to division of fraction. For this purpose, two sixth grade students who were good at calculation were clinically interviewed three times. The analysis was focused on (a) how the students would understand the multiple meanings and models of division of fraction, (b) how they would recognize the meaning of algorithm related to division of fraction, and (c) how they would employ the meanings and properties of operation in order to translate them into different modes of representation as well as to develop their own strategies. This paper includes several episodes which reveal students' qualitative difference in terms of various dimensions of operation sense. The need to develop operation sense is suggested specifically for upper grades of elementary school.

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