• Title/Summary/Keyword: Mathematics education improvement

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An International Comparative Study on the Integrative Contents of Elementary Science Textbooks (초등학교 과학 교과서 내용의 통합적 구성에 관한 국제 비교 연구)

  • PARK, So-Young
    • Journal of Fisheries and Marine Sciences Education
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    • v.21 no.3
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    • pp.420-435
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    • 2009
  • The aims of this study are to analyze and compare the elementary textbook contents of science in Korea, USA and England and to make suggestions for the improvement of integrative contents in Korean science textbooks. For this study, lessons on living things in the three grade science textbooks of three different countries were selected and analyzed according to the five criteria: component elements of the lesson, integration of knowledges and investigations, integration of subject and life, connection with other subjects and focus of integration. From this comparative study, five suggestions are inferred for the improvement of the Korean elementary science textbooks. First, it is recommended that Korean textbooks should present unit objectives and evaluative components in the introductive part and last part of each lesson. Second, Korean textbooks should include scientific knowledges as a way of presenting educational contents. Third, Korean textbooks are recommended to include integrated contents fitting for students' life context. Fourth, Korean textbooks are recommended to integrate contents in connection with mathematics, arts, literature and so on. Fifth, issues which can facilitate students to understand contents in the textbooks and to relate to their life should be more employed.

영재교육원 수료 학생에 대한 과학고등학교 정원 외 선발의 타당성 분석

  • Jeon, Yeong-Seok
    • Journal of Gifted/Talented Education
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    • v.14 no.4
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    • pp.47-70
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    • 2004
  • We analyzed the validity of Science Highschool's selection process for the students from Science Gifted Education Center in order to suggest the direction of improvement. First of all, we invested the students' achievement in Mathematics and Science. As a result, we found that the students are not so good at mathematics and science through the selection process for the students from Science Gifted Education Center. However the difference is not statistically meaningful. On the contrary, The achievement of the students from Science Gifted Education Center is above average who were selected through the other course, e. g. the students who acquired the recommendation of principal, winner of prize in Olympiad of Mathematics or Science. We didn't find any meaningful result in the investigation of Affective Domain in Science. And then we found that the students prefer the generous environment through the selection process for the students from Science Gifted Education Center. As a whole, the selection process for the students from Science Gifted Education Center was not so satisfying. It should be reformed; we should examine the students' portfolio on the activities in the Science Gifted Education Center, and the entrance examination should include both divergent and convergent problems to find out the students' creativity. And the 3 dimensional process is also essential through the multiple steps.

A Case Study on the Pre-service Math Teacher's Development of AI Literacy and SW Competency (예비수학교사의 AI 소양과 SW 역량 계발에 관한 사례 연구)

  • Kim, Dong Hwa;Kim, Seung Ho
    • East Asian mathematical journal
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    • v.39 no.2
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    • pp.93-117
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    • 2023
  • The aim of this study is to explore the pre-service math teachers' characteristics of education to develop their AI literacy and SW competency, and to derive some implications. We conducted a 14-hours AI and SW education program for pre-service teachers with theory and practice, and an analysis on class observation data, video frames of classes and interview, Python programming assignments and papers. The results of this case study for 3 pre-service teachers are as follows. First, two students understood artificial neural network and deep learning system accurately, furthermore, all students conducted a couple of explorations related with performance improvement of deep learning system with interest. Second, coding and exploration activities using Python improved students' computational thinking as well as SW competency, which help them give convergence education in the future. Third, they responded positively to the necessity of AI literacy and SW competency development, and to applying coding to math class. Lastly, it's necessary to endeavor to give a coding education to the student's eye level according to his or her prerequisite and to ease the burden of student's studying AI technology.

A Study on the Relations between Co-cognitive Factors and Leadership of Elementary Mathematically Gifted Students and General Students (초등수학영재 및 일반학생의 인지적 조합요인과 리더십의 관계 연구)

  • Lee, Jeong Im;Ryu, Sung Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.16 no.3
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    • pp.337-358
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    • 2012
  • The purpose of this study is to find out the relation between co-cognitive factors, personal affective and characteristic features as the basis that prompts talented behaviors and leadership. The subjects of the study were 77 elementary mathematically gifted students attending at the gifted education center affiliated with University of Education in D metropolitan city and 110 elementary students in metropolitan city and provinces. The results of this study are as follows. First, elementary mathematically gifted students had higher levels than general students in every subdirectory of co-cognitive factors and the difference was statistically significant. Second, there was a difference between leadership of elementary mathematically gifted students and that of general students. Also, the level of gifted students' leadership was higher than the latter. Third, when it comes to the relation between co-cognitive factors and leadership, both of gifted students and general students showed positive correlation between subdirectory of co-cognitive factors and that of leadership. Consequently, development of co-cognitive factors will lead to improvement of leadership since co-cognitive factors positively influence on leadership. Therefore, it is desirable that co-cognitive factors are considered when developing a program for leadership.

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A Study on Improvement of Introductions and Applications of 'Proof by Contradiction' in Textbooks (교과서의 귀류법 도입과 활용에 대한 고찰 및 개선 방안)

  • Lee, Gi Don;Hong, Gapju
    • School Mathematics
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    • v.18 no.4
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    • pp.839-856
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    • 2016
  • In 2009 revision and 2015 revision mathematics national curriculum, 'proof' was moved to high school from middle school in consideration of the cognitive development level of students, and 'proof by contradiction' was stated in the "success criteria of learning contents" of the first year high school subject while it had been not officially introduced in $7^{th}$ and 2007 revision national curriculum. Proof by contradiction is known that it induces a cognitive conflict due to the unique nature of rather assuming the opposite of the statement for proving it. In this article, based on the logical, mathematical and historical analysis of Proof by contradiction, we looked about the introductions and the applications of the current textbooks which had been revised recently, and searched for improvement measures from the viewpoint of discovery, explanation, and consilience. We suggested introducing Proof by contradiction after describing the discovery process earlier, separately but organically describing parts necessary to assume the opposite and parts not necessary, disclosing the relationships with proof by contrapositive, and using the viewpoint of consilience.

The Effects of the Process-based Mathematics Children's Verse Writing Activities on Mathematics Achievements and Attitudes (과정중심 수학 동시 쓰기가 학생들의 수학 학업성취도와 수학적 태도에 미치는 영향)

  • Park, Hyun Chul;Park, Mangoo
    • Journal of the Korean School Mathematics Society
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    • v.18 no.2
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    • pp.187-201
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    • 2015
  • The purpose of this study was to examine the effects of using process-based writing poems in the elementary mathematics classrooms. For this study, we chose 128 elementary school students to examine their mathematical achievements and attitude towards mathematics when using process-centered writing poems in the elementary mathematics classrooms. Process-based mathematics and writing programs developed mainly on the geometry units were composed of four levels, idea generation, idea selection, use and idea organization grouped into similar sections in order to separate into two sections. The results of the practice of this study's problem can be summarized as follows. First, the process-based mathematics and writing activity of geometry had a positive impact on academic achievement in mathematics. Although there was not a significant difference in the fourth and fifth grades, significant differences in the fifth and sixth grade were found. Second, in regards to attitudes in mathematics, process-based mathematics and writing activities had a positive impact. In particular, the improvement of mathematical attitudes was evident in all grades. It confirmed the effective facilitation of interest and enjoyment towards learning mathematics by 4th, 5th and 6th graders who had undertaken these mathematics classes.

An analysis of the change in mathematical inclination of middle level engineering college freshmen (중위권 공과대학 신입생들의 수학적 성향의 변화 분석)

  • Lee, Gyeoung Hee;Lee, Jung Rye
    • Communications of Mathematical Education
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    • v.29 no.4
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    • pp.745-762
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    • 2015
  • In order to examine the change in mathematical inclinationn of middle level engineering college freshmen, we analyse the change of mathematical inclination 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 medium-sized D university, 2011 year and 2015 year engineering freshmen were taken the test for mathematical inclination, the survey for mathematical background and the recognition of college mathematics and basic mathematical ability test. The outcomes of this survey are followings: Firstly, between 2011 year and 2015 year freshmen, the mean of confidence and flexibility are same, but the 2015's mean of willpower, curiosity, value and esthetics are greater than 2011's. Secondly, in the mean of flexibility, willpower and curiosity, natural science's mean is greater than humanity's. Thirdly, the mean of mathematical inclination's factors is depend on college mathematics goal. Fourthly, there is little correlation between mathematical basic ability and mathematical inclination. Moreover for 2011 year and 2015 year freshmen, the mean of mathematical inclination's factors except value is proportional to mathematical basic ability. For the success of college mathematics in engineering college, this study suggests that high school mathematics curriculum and college scholastic ability test must contain calculus. We also suggest that college mathematics class must be focused on mathematical inclination improvement.

Case study on identity development of mathematics teachers involved in learning community: Based on the theory of "Community of Practice" (학습공동체에 참여한 수학교사의 정체성 형성 과정에 대한 사례연구: 실천공동체 이론을 중심으로)

  • Yoon, Jungeun;Kwon, Oh Nam
    • Communications of Mathematical Education
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    • v.38 no.1
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    • pp.1-26
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    • 2024
  • As the limitations of professional development programs and individual attempts to improve teaching expertise have been reported, mathematics teachers have operated various types of teacher learning communities as alternative teacher professional programs. A teacher learning community can be considered a Community of Practice(CoP) in that it satisfies three factors of Cop, which are common purpose, mutual participation, and shared repertoire, so the 'learning' of a teacher community can be interpreted based on the theory of CoP. The purpose of this study is to investigate the process of identity development of five mathematics teachers who have been continuously involved in teacher communities. For this, the researcher collected data on the entire process of community activities through participant observation and conducted individual follow-up interviews to explore mathematics teachers' narratives and personal experiences. Results indicated that mathematics teachers experienced the development of practical knowledge related to mathematics teaching and learning, improvement of teaching practice through continuous reflection and introspection, and recognization the shared value of togethering through community immersion. Based on these experiences, implications for the effective operation of learning communities such as national support of teacher learning communities and horizontal and cooperative teacher norms were discussed, and follow-up research was proposed.

A Note on Teaching Method of Addition and Subtraction between Korea and New Zealand Primary School (한국과 뉴질랜드 초등학교 저학년의 덧셈과 뺄셈 지도방법에 관한 고찰)

  • Choi, Chang Woo
    • East Asian mathematical journal
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    • v.31 no.4
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    • pp.505-525
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    • 2015
  • The purpose of this study is to analyze teaching method of addition and subtraction of whole number in Korea and New Zealand lower grade textbook and to get some suggestive points to develop mathematics curriculum and for a qualitative improvement of textbook. To do this, we will analyze focusing on teaching material, type and method of teaching, cases of real teaching and in the case of New Zealand, we will analyze portfolios together to see what kind of things do they deal with related to addition and subtraction. From these analyzing, the results are as follows: First, the guideline of accomplishment of group of year are stated in 2009 revised curriculum in Korea but it is rough. On the other hand, the level of accomplishment from kindergarten to high school are stated divided by eight kinds of thing in New Zealand curriculum. Second, there were common and different points in the aspect of teaching material. The common points are that both of our Korea and New Zealand are using materials related to real life intimately and the diifferent points are to use technology such as calculator and computer. They are more widely used in New Zealand than our Korea. Third, Korea had used routine method mainly but New Zealand had used method to develop creativity of learner such as to write problem corresponding to expression, posing problem corresponding to information, to complete table and find pattern and to write word problem to explain pattern and so on. Fourth, we could see special calculation strategies in the case of teaching addition and subtraction such as concept of double, compensation, various strategy based on counting of number, addition of the same number, magic square, near-double which are not finding in our mathematics textbook. Fifth, in the New Zealand textbook they had used teaching methods inducing curiosity of learner such as finding message and puzzle problem than solving given problem simply.

Effects of Teaching with Problem Posing on Mathematical Problem Solving Ability and Attitude in Elementary School Mathematics (초등 수학에서 문제 만들기를 적용한 수업이 수학적 문제 해결력 및 태도에 미치는 효과)

  • Choi Yun Seok;Bae Jong-Soo
    • Journal of Elementary Mathematics Education in Korea
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    • v.8 no.1
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    • pp.23-43
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    • 2004
  • The purposes of this study are, by referring to various previous studies on problem posing, to re-construct problem posing steps and a variety of problem posing learning materials with a problem posing teaching-learning model, which are practically useful in math class; then, by applying them to 4-Ga step math teaming, to examine whether this problem posing teaching-learning model has positive effects on the students' problem solving ability and mathematical attitude. The experimental process consisted of the newly designed problem posing teaching-learning curriculum taught to the experimental group, and a general teaching-learning curriculum taught to the comparative group. The study results of this experiment are as follows: First, compared to the comparative group, the experimental group in which the teaching-teaming activity with problem posing was taught showed a significant improvement in problem solving ability. Second, the experimental group in which the teaching-learning activity with problem posing was taught showed a positive change in mathematical attitude.

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