• Title/Summary/Keyword: 수학성취도

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Analysis of students' understanding of equal sign through equal sign introduction lessons emphasizing their relational understanding (등호 도입 단원에서 관계적 이해를 강조한 수업에 따른 학생들의 이해 분석)

  • Lee, Yujin
    • Education of Primary School Mathematics
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    • v.27 no.1
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    • pp.39-55
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    • 2024
  • Recently, the 2022 revised mathematics curriculum has established achievement standards for equal sign and equality, and efforts have been made to examine teaching methods and student understanding of relational understanding of equal sign. In this context, this study conducted a lesson that emphasized relational understanding in an introduction to equal sign, and compared and analyzed the understanding of equal sign between the experimental group, which participated in the lesson emphasizing relational understanding and the control group, which participated in the standard lesson. For this purpose, two classes of students participated in this study, and the results were analyzed by administering pre- and post-tests on the understanding of equal sign. The results showed that students in the experimental group had significantly higher average scores than students in the control group in all areas of equation-structure, equal sign-definition, and equation-solving. In addition, when comparing the means of students by item, we found that there was a significant difference between the means of the control group and the experimental group in the items dealing with equal sign in the structure of 'a=b' and 'a+b=c+d', and that most of the students in the experimental group correctly answered 'sameness' as the meaning of equal sign, but there were still many responses that interpreted the equal sign as 'answer'. Based on these results, we discussed the implications for instruction that emphasizes relational understanding in equal sign introduction lessons.

The Study on Evaluation of Team Grouping Method using Cooperative Education Program (협동 교육 프로그램을 활용한 팀 구성에 따른 교육효과에 관한 연구)

  • Kim, Hyun-Jin;Kim, Seul-Kee;Kim, Myung-Gwan
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.10 no.6
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    • pp.125-130
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    • 2010
  • Cooperative learning is a successful teaching strategy in which small teams, each with students of different levels of ability, use a variety of learning activities to improve their understanding of a subject. Each member of a team is responsible not only for learning what is taught but also for helping teammates learn, thus creating an atmosphere of achievement. In this study, we have propose an english, math education program to the children of elementary school and cooperative learning program technique was applied to implement the program. By cooperative learning program, learners will be performed at the same time learning cooperatively. Finally, we have implement a prototype of cooperative learning program and take a usability test with elementary school children. A complementary team to score and mixed was found to be most effective.

An Analysis on the Students' Achievement in the 'Speed of Objects' Chapter based on the Integrated Science and Mathematics Classes for Elementary School Students (수학과 과학을 통합 지도한 초등학교 '물체의 속력' 수업에서 학생의 학습 성취 분석)

  • Jung, Hana;Jhun, Youngseok
    • Journal of Korean Elementary Science Education
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    • v.34 no.4
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    • pp.372-381
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    • 2015
  • Mathematics and science are very closely related. Among the science areas, physic is strongly linked with mathematics. As the related mathematics skills were alloted later than the science contents in the national curriculum, students often suffer from science classes. Accordingly, an opinion have been claimed to teach the related mathematics skills prior to the science classes. However, it would be hard to arrange all science and mathematics contents in order. Instead of that, in this research, we taught students mathematics contents that are crucial for learning speed through science classes. We called that teaching strategy an integrated science and mathematics class. Then, we examined students' achievement in science as well as skills of mathematics to know the effectiveness of the strategy. We found that the average mathematics score of the whole class went up meaningfully. We also found that their science achievement was above than basic level. Moreover, the homeroom teacher of the students observed 3 aspects which showed the students were better than previous students. Finally, we divided the students into 4 groups by their science and mathematics achievement score and interviewed each group. As a result, we knew that interesting and confidence in science and mathematics quite exerted influence on their achievement.

A Study on the General Education Curriculum for Engineering Education (공학교육인증 프로그램의 전문교양 교과과정 구성에 관한 연구)

  • Kim, Hee-Jung;Kim, Seong-Cheol
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.7
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    • pp.1621-1627
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    • 2011
  • According to the KEC 2005 accreditation criteria, enough major courses in addition to mathematics, basic science, computer science, cultural studies are required to fulfill the program's goal. So it is hoped that students have to take mandatory major courses as well cultural studies. In this paper we considered the necessity of General Education Curriculum for Engineering Education by analyzing the several university's accreditation programs and suggested the desirable modeling of the General Education Curriculum.

A Study on Object-Oriented Programming Education for Improving Logical Thinking Ability of Elementary School Students (초등학생의 논리적 사고력 향상을 위한 객체지향 프로그래밍 교육 연구)

  • Park, Kyeong-Mo;Hong, Tae-Jin
    • Journal of Digital Contents Society
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    • v.10 no.2
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    • pp.367-373
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    • 2009
  • Computer programming education helps students understand abstract concepts better and solve given problems independently. Many previous studies on programming education have focused on procedural programming languages such as BASIC and C, but studies on objected-oriented program ming language like JAVA is rare. This paper examines how an architectural neural, objected-oriented JAVA programming study system can improve logical thinking ability and encourage self-led study and stimulate interests in computers among elementary school students. The system has been developed and is suitable for distributed Internet environment. The experiment results demonstrated that the objected-oriented programming education enhances logical thinking ability, exerts a positive impact on student achievement in math and science, and stimulate interests in computers.

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An Analysis of the Statistics Curricula for the High School in Korea and New Zealand (우리나라와 뉴질랜드의 고등학교 통계 교육과정 분석)

  • Shin, Woo Jin;Ko, Ho Kyoung;Noh, Jihwa
    • Journal of the Korean School Mathematics Society
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    • v.25 no.1
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    • pp.19-38
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    • 2022
  • This study aims to find ways to improve the statistics education policy in Korea for the future based on the results from examining the high school statistics curricula in Korea and New Zealand. The statistics curriculum in New Zealand was analyzed comparatively with the corresponding contents of the probability and statistics domain in the Korea 2015 revised national mathematics curriculum. The analysis centered around achievement goals and key ideas of each of the two curricula. This comparative analysis provides implications on finding a direction in line with the global trend in the curriculum for statistics education and ultimately for Korea's statistics education for the future.

A Design of Multiplication Unit of Elementary Mathematics Textbook by Making the Best Use of Diversity of Algorithm (알고리즘의 다양성을 활용한 두 자리 수 곱셈의 지도 방안과 그에 따른 초등학교 3학년 학생의 곱셈 알고리즘 이해 과정 분석)

  • Kang, Heung-Kyu;Sim, Sun-Young
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.287-314
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    • 2010
  • The algorithm is a chain of mechanical procedures, capable of solving a problem. In modern mathematics educations, the teaching algorithm is performing an important role, even though contracted than in the past. The conspicuous characteristic of current elementary mathematics textbook's manner of manipulating multiplication algorithm is exceeding converge to 'standard algorithm.' But there are many algorithm other than standard algorithm in calculating multiplication, and this diversity is important with respect to didactical dimension. In this thesis, we have reconstructed the experimental learning and teaching plan of multiplication algorithm unit by making the best use of diversity of multiplication algorithm. It's core contents are as follows. Firstly, It handled various modified algorithms in addition to standard algorithm. Secondly, It did not order children to use standard algorithm exclusively, but encouraged children to select algorithm according to his interest. As stated above, we have performed teaching experiment which is ruled by new lesson design and analysed the effects of teaching experiment. Through this study, we obtained the following results and suggestions. Firstly, the experimental learning and teaching plan was effective on understanding of the place-value principle and the distributive law. The experimental group which was learned through various modified algorithm in addition to standard algorithm displayed higher degree of understanding than the control group. Secondly, as for computational ability, the experimental group did not show better achievement than the control group. It's cause is, in my guess, that we taught the children the various modified algorithm and allowed the children to select a algorithm by preference. The experimental group was more interested in diversity of algorithm and it's application itself than correct computation. Thirdly, the lattice method was not adopted in the majority of present mathematics school textbooks, but ranked high in the children's preference. I suggest that the mathematics school textbooks which will be developed henceforth should accept the lattice method.

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5th and 6th Grade Korean Students' Proportional Reasoning Abilities (초등학교 5학년과 6학년의 비례 추론 능력 분석)

  • Chong, Yeong Ok;Jung, Yoo Kyung
    • School Mathematics
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    • v.18 no.4
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    • pp.819-838
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    • 2016
  • This research analyzed proportional reasoning abilities of the 5th grade students who learned only the basis of ratio and rate and 6th grade students who also learned proportion and cross product strategy. Data were collected through the proportional reasoning tests and the interviews, and then the achievement of the students and their proportional reasoning strategies were analyzed. In the light of such analytical results, the conclusions are as follows. Firstly, there is not much difference between 5th and 6th grade students in the achievement scores. Secondly, both 5th and 6th graders are less familiar with the geometric, qualitative and comparisons tasks than the other tasks. Thirdly, not only 5th graders but also 6th graders used informal strategies much more than the formal strategy. Fourthly, some students can't come up with other strategies than the cross product strategy. Finally, many students have difficulties in discerning proportional situation and non-proportional situations. This study provided suggestions for improving teaching proportional reasoning in elementary schools in Korea as follows: focusing on letting students use their informal strategies fluently in geometric, qualitative, and comparisons tasks as well as algebraic, quantitative, and missing value tasks focusing on the concept of ratio and proportion instead of enforcing the formal strategy.

A Survey on the Proportional Reasoning Ability of Fifth, Sixth, and Seventh Graders (5, 6, 7학년 학생들의 비례추론 능력 실태 조사)

  • Ahn, Suk-Hyun;Pang, Jeong-Suk
    • Journal of Educational Research in Mathematics
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    • v.18 no.1
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    • pp.103-121
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    • 2008
  • The primary purpose of this study was to gather knowledge about $5^{th},\;6^{th},\;and\;7^{th}$ graders' proportional reasoning ability by investigating their reactions and use of strategies when encounting proportional or nonproportional problems, and then to raise issues concerning instructional methods related to proportion. A descriptive study through pencil-and-paper tests was conducted. The tests consisted of 12 questions, which included 8 proportional questions and 4 nonproportional questions. The following conclusions were drawn from the results obtained in this study. First, for a deeper understanding of the ratio, textbooks should treat numerical comparison problems and qualitative prediction and comparison problems together with missing-value problems. Second, when solving missing-value problems, students correctly answered direct-proportion questions but failed to correctly answer inverse-proportion questions. This result highlights the need for a more intensive curriculum to handle inverse-proportion. In particular, students need to experience inverse-relationships more often. Third, qualitative reasoning tends to be a more general norm than quantitative reasoning. Moreover, the former could be the cornerstone of proportional reasoning, and for this reason, qualitative reasoning should be emphasized before proportional reasoning. Forth, when dealing with nonproportional problems about 34% of students made proportional errors because they focused on numerical structure instead of comprehending the overall relationship. In order to overcome such errors, qualitative reasoning should be emphasized. Before solving proportional problems, students must be enriched by experiences that include dealing with direct and inverse proportion problems as well as nonproportional situational problems. This will result in the ability to accurately recognize a proportional situation.

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A Case Study on Teaching Solutions Exploration of Wythoff's Game through Using the Analogy for the Elementary Gifted Class (초등학교 영재학급에서 유추를 활용한 위도프 게임의 해법 탐구 지도 방법)

  • Bae, Sin Young;Song, Sang Hun
    • Journal of Educational Research in Mathematics
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    • v.25 no.1
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    • pp.95-111
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    • 2015
  • The purpose of this study is to analyze cases on teaching solutions exploration of Wythoff's game through using the analogy for the gifted elementary students, to suggest useful teaching methods. Students recognized structural similarity among problems on the basis of relevance of conditions of problems. The discovery of structural similarity improves the ability to solve problems. Although 2 groups-NIM game with surface similarity is not helpful in solving Wythoff's game, Queen's move game with structural similarity makes it easier for students to solve Wythoff's game. Useful teaching methods to find solutions of Wythoff's game through using the analogy are as follow. Encoding process helps students make sense of the game. It is significant to help students realize how many stones are remained and how the location of Queen can be expressed by the ordered pair. Inferring process helps students find a solution of 2 groups-NIM game and Queen's move game. It is necessary to find a winning strategy through reversely solving method. Mapping process helps students discover surface similarity and structural similarity through identifying commonalities between the two games. It is crucial to recognize the relationship among the two games based on the teaching in the Encoding process. Application process encourages students to find a solution of Wythoff's game. It is more important to find a solution by using the structural similarity of the Queen's move game rather than reversely solving method.