• Title/Summary/Keyword: 문항개념그림

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Analysis Study of Mathematical Problem Structure through Concept Map (Concept Map을 통한 수학 문제의 구조 분석 연구)

  • Suh, Bo Euk
    • Communications of Mathematical Education
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    • v.32 no.1
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    • pp.37-57
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    • 2018
  • In the early days, the use of concept maps in mathematics education focused on how to represent mathematical ideas in the concept map. In recent years, however, concept maps have proved beneficial for improving problem solving ability. Conceptual diagrams can be used for collaboration among students, tools for exploring problems, tools for introducing problem structures, tools for developing and systematizing knowledge systems. In this study, we focused on the structure analysis of mathematical problems using Concept Map based on the analysis of previous research. In addition, we have devised a method of using concept maps for problem analysis and a method of analysis of systematic mathematical problem structure. The method developed in this study was found to have significant value by applying to the university scholastic ability test.

Students' Understanding about the Analogies for Physics Concepts Used in Korean Middle School Science Textbooks (중학교 과학 교과서의 물리 개념 설명에 사용된 비유에 대한 학생들의 이해도 조사)

  • Kim, Young-Min;Park, Hee-Sook
    • Journal of The Korean Association For Science Education
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    • v.20 no.3
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    • pp.411-420
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    • 2000
  • The purpose of this study was to investigate how many students understood the analogies for physics concepts used in middle school science textbooks, and which types of analogies they understood better than others. We classified the analogies into the following 4 types: verbal and simple analogy, verbal and enriched analogy, pictorial and simple analogy, and pictorial and enriched analogy. For the study, 46 students were sampled from a middle school in Ulsan city in Korea, and a tool for testing their understanding of analogies were developed. The tool is composed of 8 items, and its face validity about contents and difficulty was verified by 5 experts. It was found that in average only about 50% of the students understood the analogies in the middle school science textbooks averagely, and that the students understood pictorial and simple analogies better than the other types of analogies.

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Difficulty of understanding and using the number line by Elementary school students (초등학생의 수직선 이해와 사용의 어려움)

  • Kim, Yang Gwon;Hong, Jin-Kon
    • Communications of Mathematical Education
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    • v.31 no.1
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    • pp.85-101
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    • 2017
  • The purpose of this study is to investigate how elementary school students understand and use the number line relating number concept and what is the main problem in the learning process. For the efficient achievement of this purpose, we investigated how the number line metaphor is related to the number concept and considered the role of the number line on Freudenthal's number concept teaching theory. The test conducted to find the degree of understanding and difficulty on using the number line by actual elementary school students consisted of two questions ; to find appropriate number corresponding to the given number on the number line and to identify contents of chapters about the use of number line on each grade. It was found that many students couldn't solve the problem represented by the number line though they could solve the problem represented by other ways such as number track and pictures. The only difference between the two problems was the way of representation, and they had same contents and structure. This study tried to figure out the meaning of this phenomenon. Also, by using various teaching-learning method (number track, pictures, empty number line, and double number line etc.), this study was aimed to provide the way to help learning 'related number concept' and to solve the difficulty on understanding the number line.

The utility of digital evaluation based on automatic item generation in mathematics: Focusing on the CAFA system (수학교과에서 자동문항생성 기반의 디지털 평가 활용 방안: CAFA 시스템을 중심으로)

  • Kim, Sungyeun
    • The Mathematical Education
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    • v.61 no.4
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    • pp.581-595
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    • 2022
  • The purpose of this study is to specify the procedure for making item models based on ontology models using automatic item generation in the mathematics subject through the CAFA system, and to explore the generated item instances. As an illustration for this, an item model was designed as a part of formative assessment based on the content characteristics, including concepts and calculations, and process characteristics, including application, using the representative values and the measures of dispersion in Mathematics of the 9th grade based on the evaluation criteria achievement standards. The item types generated in one item model were a best answer type, a correct answer type, a combined-response type, an incomplete statement type, a negative type, a true-false type, and a matching type. It was found that HTML, Google Charts, TTS, figures, videos and so on can be used as media. The implications of the use of digital evaluation based on automatic item generation were suggested in the aspects of students, pre-service teachers, general teachers, and special education, and the limitations of this study and future research directions were presented.

Preconception and Conceptual Change about Season on Elementary School Students (계절 변화에 대한 초등학생의 선개념과 개념 변화 양상)

  • Cheong, Cheol;Jeong, Jin-Woo;Jang, Myoung-Duk
    • Journal of the Korean earth science society
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    • v.22 no.4
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    • pp.268-277
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    • 2001
  • This study was to investigate the preconception and phases of children's conceptual change about season through an instruction on the concept. Participants in the study were seventy-eight fifth graders in two classrooms of an elementary school located in Incheon city. Children's preconception was examined using a questionnaire, consisted of a drawing and literal explanation. The questionnaire also was used at the midterm-test, post-test, and one-week delayed-test. The results shows several findings as follows: some children (a) change their synthetic conceptions to form another synthetic conceptions through the instruction; (b) exhibit that their conceptions are unstable; and (c) are mainly influenced by distance and heating effect on the seasonal spatial distribution between the Earth and the Sun, and by the Earth's rotation on the seasonal change of constellations in acquiring the scientific concepts.

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A Study on the Misconceptions of High School Students on Magma and Plate Tectonics (마그마와 판구조론에 대한 고등학생들의 오개념)

  • Choi, Seong-Cheol;Ahn, Kun Sang
    • Journal of Science Education
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    • v.32 no.2
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    • pp.121-145
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    • 2008
  • The purposes of this study were to identify the misconceptions that students have on the magma and plate tectonics and to present the implications in developing textbooks as well as related curriculum of high school textbooks. Data were collected through questionnaire, consisting of some questions, short essays, and descriptive drawings, developed by the research team. A total of 140 high school students(9th graders) responded to those questionnaires and were interviewed for further information. It was reported that participants displayed various misconceptions related to magma and plate tectonics. The identified misconceptions are as follows: For the definition of magma, the 31% of participants misunderstood magma as lava. In respect to the generative mechanism of magma at subduction zone, over 90% of students responded that it is generated by frictional heat. The source of misconceptions were identified as a result from textbooks and related reference-books. For the concept of plates, 87% of students conceived 'crust or a lower part of the plates' as 'plates'. Most participants hold the right concept of oceanic ridge, whereas, 66% of them considered 'rift valley' as either 'divergence of continental plates' or 'converging boundary'. 63% of them defined 'collision boundary of continental plate' as either 'subduction zone' or 'diverging boundary'. For the definitions of the trench and Benioff zone, 86% of students responded them as the place of subduction or differing density between two converging plates. The students' misconceptions were resulted from the errors and insufficient explanation, inappropriate figures, and data presented in textbooks, reference-books, lecture, and web sites. The results of this study are implied to contribute the improvement of students' misconceptions.

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Cross-Sectional Item Response Analysis of Geocognition Assessment for the Development of Plate Tectonics Learning Progressions: Rasch Model (판구조론의 학습발달과정 개발을 위한 지구적 인지과정 평가의 횡단적 문항 반응 분석: Rasch 모델)

  • Maeng, Seungho;Lee, Kiyoung
    • Journal of The Korean Association For Science Education
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    • v.35 no.1
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    • pp.37-52
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    • 2015
  • In this study, assessment items to examine geocognition on plate tectonics were developed and applied to middle and high school students and college students. Conceptual constructs on plate tectonics are Earth interior structure, specific geomorphology, and geologic phenomena at each plate boundary. Construct for geocognition included temporal reasoning, spatial reasoning, retrospective reasoning, and system thinking. Pictorial data in each item were all obtained from GeoMapApp. Students' responses to the items were analyzed and measured cross-sectionally by Rasch model, which distinguishes persons' ability levels based on their scores for all items and compared them with item difficulty. By Rasch model analysis, Wright maps for middle and high school students and college students were obtained and compared with each other. Differential Item Functioning analysis was also implemented to compare students' item responses across school grades. The results showed: 1) Geocognition on plate tectonics was an assessable construct for middle and high school students in current science curriculum, 2) The most distinguished geocognition factor was spatial reasoning based on cross sectional analysis across school grades, 3) Geocognition on plate tectonics could be developed towards more sophisticated level through scaffolding of relevant instruction and earth science content knowledge, and 4) Geocognition was not a general reasoning separated from a task content but a content-specific reasoning related to the content of an assessment item. We proposed several suggestions for learning progressions for plate tectonics and national curriculum development based on the results of the study.

Eye Tracking Analysis for High School Students' Learning Styles in the Process of Solving on Earth Science I (지구과학 I 문제 해결 과정에서 나타난 학습유형에 따른 고등학생의 시선 추적 분석)

  • An, Young-Kyun;Kim, Hyoungbum
    • Journal of the Korean Society of Earth Science Education
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    • v.10 no.1
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    • pp.50-61
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    • 2017
  • The purpose of this study is to analysis eye tracking for high school students' learning styles in the process of solving in the behavioral domains of the College Scholastic Ability Test on Earth Science I. The subjects of this study were 50 students from two classes out of 4 classes in E high school in Chungcheong province. Among them, we conducted experiments by randomly sampling 2 students of each type of learning based on the criteria that they had not encountered the problem of Earth Science I from the past two years. The findings indicate that the item correctness rate of divergers, assimilators, convergers, and accommodators were higher in the knowledge domain, application domain, knowledge-understanding domain, and understanding domain. This confirms that there is a difference among the four learning styles in the level of achievement according to the behavioral areas of the assessment questions. The latter finding was that the high eye-share of AOI 2 appeared higher than AOI 1, 3, 4 in the course of solving the problems. This is because the four types of learners pay more careful attention to the AOI 2 area, which is the cue-or-information area of problem solving, that is, the Table, Figure, and Graph area. Therefore, in order to secure the fairness and objectivity of the selection, it is necessary that an equal number of questions of each behavioral domain be selected on the Earth Science I Test of the College Scholastic Ability Test in general. Besides, it seems to be necessary that the knowledge, understanding, application, and the behavior area of the inquiry be highly correlated with the AOI 2 area in development of test questions.

An Analysis on Elementary Students' Error Types of Word Problem Solving Strategy (초등학생들의 문제해결전략에 따른 오류 유형 분석)

  • Kim, Young A;Kim, Sung Joon
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.113-139
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    • 2013
  • The purpose of this study is to provide informations about cause of failures when students solve word problems by analyzing what errors students made in solving word problems and types of error and features of error according to problem solving strategy. The results of this study can be summarized as follows: First, $5^{th}$ grade students preferred the expressions, estimate and verify, finding rules in order when solving word problems. But the majority of students couldn't use simplifying. Second, the types of error encountered according to the problem solving strategy on problem based learning are as follows; In the case of 'expression', the most common error when using expression was the error of question understanding. The second most common was the error of concept principle, followed by the error of solving procedure. In 'estimate and verify' strategy, there was a low proportion of errors and students understood estimate and verify well. When students use 'drawing diagram', they made errors because they misunderstood the problems, made mistakes in calculations and in transforming key-words of data into expressions. In 'making table' strategy, there were a lot of errors in question understanding because students misunderstood the relationship between information. Finally, we suggest that problem solving ability can be developed through an analysis of error types according to the problem strategy and a correct teaching about these error types.

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