• Title/Summary/Keyword: Ability of the mathematics problem-solving

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Comparison of the Mathematics Educational Values between Pre-service and In-service Elementary School Teachers (수학교육적 가치에 대한 예비 초등교사와 현직 초등교사의 인식 비교)

  • Yim, MinJae;Cho, SooYun;Pang, JeongSuk
    • Communications of Mathematical Education
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    • v.34 no.3
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    • pp.277-297
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    • 2020
  • The purpose of this study was to identify and compare the mathematics educational values of pre-service and in-service elementary school teachers. For this purpose, we implemented a questionnaire investigating mathematics educational values and used principal component analysis which resulted in six components. These components were named as fun, problem-solving, representation, computation, ability, and explanation through systematic labeling processes. Both pre-service and in-service elementary school teachers considered problem-solving the most important and there was no statistical difference between the teacher groups. They also considered fun the least important and in-service elementary school teachers regarded it more important than pre-service counterparts did. All value components except explanation were regarded as important by in-service elementary school teachers, fourth-year pre-service teachers, and first-year pre-service teachers in order. The result of noticeable differences between pre-service and in-service elementary school teachers implies that actual teaching experience may affect teachers' mathematics educational values more than teacher preparation programs. Based on these findings, we need to discuss what should be regarded as important and worthwhile in teacher preparation programs to establish mathematics educational values for pre-service teachers. We also need to confirm whether the mathematics educational values by in-service elementary school teachers may be in line with what has been pursued in the national mathematics curriculum.

A case study on the impact of the concept of the common divisor on relational understanding of the common multiple and least common multiple (공약수의 Schema가 공배수와 최소공배수의 관계적 이해에 미치는 영향에 대한 사례연구)

  • Kim, Hwa Soo
    • Education of Primary School Mathematics
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    • v.15 no.3
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    • pp.201-218
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    • 2012
  • In this study, the following topics were investigated targeting elementary school students: Schema formed through precise notion of cognitive and the connection of the concepts when studying common divisor, common multiple, and the lowest common multiple, configuration ability and problem solving of the students when learning using a modified schema, how the schema of the student to advance to a higher level, and how the deformation of the schema is carried out student's configuration of concept and problem solving ability. As a result, it was found out that cognition about precise concept, schema and the modified schema are important factors when a primary concept was developed into a secondary concept, and play important roles when the connection and the formation of the modified schema created by cognition about the precise primary concept rather than by the formation of the secondary concept (formation of the secondary schema) created by the connection between the primary concept.

Two-year Follow-Up Study on Effects of STEAM Education Program Based on Physical Computing (2년간의 추적 연구를 통한 Physical Computing 기반의 STEAM 프로그램의 효과)

  • Kim, Sug Hee;Yu, Heon Chang
    • The Journal of Korean Association of Computer Education
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    • v.17 no.2
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    • pp.77-86
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    • 2014
  • By PISA 2007, TIMSS 2011, Korean high school students had high academic achievement to science and mathematics, while they had low attitude. Prospective college students are increasingly avoiding natural science and engineering. Moreover, the opportunities to learn to computer science in middle and high school are disappeared rapidly. The necessity of STEAM program based on Physical computing arise under these situation. Therefore, we developed STEAM program and studied the effects of the program in 2012. The result showed that students' scientific interests and attitude, scientific problem solving ability, scientific creative problem solving ability, personality test for children, and satisfaction of school life were enhanced. This study is follow-up study for the same students who improved every domain of the measurements. They were administerd pre-test at start of 2012, post-test at end of 2012, and delayed post-test at the end of 2013, on same test. The result of the study showed that only attitude to Scientific Inquiry was enhanced, but there was no significant result on the other domain of the test in comparison with start of 2012. But this result demonstrate the effect of STEAM education conversely.

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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.

CARE Model-based Math Learning Coaching Model Development Study (CARE 모델 기반 수학학습 코칭 모델 개발 연구)

  • Kim, Jung Hyun;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.511-533
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    • 2022
  • The purpose of this study is to develop a learning coaching model suitable for the mathematics subject by reflecting the characteristics of the mathematics subject and the mathematics teaching/learning process in the CARE learning coaching model that supports students' self-directed learning. The mathematics learning coaching model developed in this study is a 'step' and 'element' to apply coaching, and a 'strategy' for carrying out it. Mathematics learning coaching model evaluated rapport, trust, state management, and math pre-test as elements of 'creating a comfortable atmosphere', and problem recognition, hypercognition, restructuring, initiative, and math learning ability as elements of 'improving perception'. Self-efficacy, learning readiness, confirmation (feedback) as elements of the 'reawakening of learning immersion' stage, voluntary motivation and success experiences as elements of the 'empowerment' stage, and various math learning strategies to perform each element presented. The math learning coaching model can be used to help math teachers motivate students to learn and help students solve their own problems.

Creative Convergence Course 『Future Confluence IT Humanities』 Development and Operational Effectiveness Verification (창의적 융복합 『미래융합IT인문학』 교과목 개발 및 운영 효과성 검증)

  • Choi, Eunsun;Ko, Jeon;Choi, Keunbae;Kim, Heepil;Lee, Hosoo;Park, Namje
    • Journal of Korea Multimedia Society
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    • v.24 no.4
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    • pp.569-582
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    • 2021
  • Education emphasizes problem-solving skills based on convergent thinking power in an era of rising uncertainty and rapid progress. This paper proactively designed e-Learning team teaching convergence liberal arts courses for prospective teachers by these social needs. It analyzed the empirical effects on the operation of the subjects to foster future talent who can converge and apply knowledge in various fields. The curriculum consisted of professors of mathematics, practical Arts, computer, and education, and was operated to convey convergent knowledge of information technology and humanities, and consisted of 15 liberal arts courses at J University. Besides, textbooks and teaching materials were also developed by the faculty. As a result of the primary research, prospective teachers who took the course generally showed high satisfaction with the class, especially for the faculty. The students' overall convergent thinking ability has increased to a statistically significant level (p<.01), and the students' major has been found to be irrelevant. On the other hand, it can be seen that communication, content convergence, and caring factors, excluding creativity factor, have all risen to a significant level.

Analyzing a Mathematical Gifted Student's Output for Mentor-Independent Study - A Case Study Focused on Mathematics Education for the Gifted - (수학 영재학생의 사사독립연구에 대한 산출물 분석 - 중등 영재학생을 중심으로 한 사례연구 -)

  • Lee, Heon-Soo;Park, Jong-Youll
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.185-205
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    • 2011
  • In this paper, we investigated the mathematical output of a gifted student's independent study. We chose one student who was taking a mentorship course in mathematics at the Gifted Education Center in Chonnam National University, and analyzed the characters of the result which a student showed through the output of independent study and studied the psychological change of a student while he was making a presentation of the results of his study. We found following facts. First, a mentor-independent study improves a mathematical gifted student's inductive thinking and ability to generalize and apply to other cases. Second, presenting a mathematical gifted student's output for mentor-independent study improves his ability of mathematical communication in the abilities of creative problem solving. Finally, there is an increased change in his perception and self-efficacy of mathematics after the presentation.

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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A comparative study on the external & internal structure of mathematics curriculum between Korea and Japan : Focusing on the aspects of recent revisions (한·일 수학과 교육과정의 외·내적 체재 비교 분석 : 직전 교육과정과의 변화를 중심으로)

  • Kwon, Oh Nam;Lee, Kyungwon;Lee, Ahran;Han, Chaereen
    • The Mathematical Education
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    • v.58 no.2
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    • pp.187-223
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    • 2019
  • This study aims to investigate the aspects of revision in the external and internal structure of curriculum and documentation in Korea and Japan and to propose the direction and task to enhance the current framework of the national curriculum. Japan has been selected for comparison in that it explicitly prepared social changes such as the dramatic evolution of artificial intelligence and population aging in its new curriculum. Therefore, various aspects of revision were analyzed the 2009 & 2015 revised mathematics curriculum of Korea and the 2008 & 2017 mathematics curriculum of Japan respectively in the elementary, middle, and high school grade bands. Then, the differences between the two countries were identified through comparison. First, the structure of the mathematics curriculum in Japan was connected with the general guidelines more tightly than Korea, and the external structure of the mathematics curriculum stayed consistently after the revision. Second, contrary to Korea, which pursued the appropriateness and reduction of mathematical content, Japanese mathematics curriculum has been pursuing detailed contents both quantitatively and qualitatively. Lastly, Japan emphasized statistical problem-solving ability. Based on this, we suggested considering of consistency in the structure curriculum documentation, detailing contents of the curriculum, and strengthening of statistical education.

A Practical Use of Geoboard in an Elementary School Class (초등학교 수학 수업에서 기하판의 활용)

  • 최창우
    • Education of Primary School Mathematics
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    • v.6 no.1
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    • pp.1-10
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    • 2002
  • The objectives of the current study are on the practical use of geoboard in an elementary school class. To do this, we first investigate how come geoboard is significant in a practical use. Second, we present an example of practical use of geoboard connecting with the analysis of the 7th curriculum. Third, we investigate the results of geoboard which is applied to elementary school class. The results of this research are as follows: First, the instruction of using geoboard can give an interest and curiosity to all students. Second, right triangle, rectangle, square and so on can be easily constructed because geoboard is linked by dots. Third, by constructing figures on geoboard and comparing figures which is made by themselves, students could better understand the concept of figures rather than the explanation of teacher. fourth, students can be improved the ability of problem solving and spatial sense by providing experience for exploration. Fifth, students need not to have anxiety for error because geoband is used and so can be corrected easily.

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