• Title/Summary/Keyword: trends of mathematics learning

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Studies on the Degree of Likings for Each Units of School Mathematics (학교수학의 각 영영에 대한 선호도 연구)

  • 김영국;박기양;박규홍;박혜숙;박윤범;임재훈
    • The Mathematical Education
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    • v.39 no.2
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    • pp.127-144
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    • 2000
  • School mathematics are composed of five major units of numbers& algebraic expressions, equations & inequalities, functions, figures, and statistics & probabilities. But if we look into the general activities of mathematics teachers in their class, they rather do not take into account students\` cognitive and affective traits or degree of difficulty which each of the unit has. For successful teaching of mathematics, teachers should take into consideration many affective items which influence the students\` scholastic achievement. Among them student\`s liking for the mathematics is commonly accepted as the most important factor for successful learning. In this study, with the five units of school mathematics, we investigated the students\` degree of likings for each unit. To fined out whether there are any differences in students\` likings for the mathematics, between regions and kind of schools, we classified the population according to the locations and kinds of schools. To do this, we divided the whole region into four parts such as Seoul, large city, medium city and town. Moreover, we partitioned the whole secondary school students into four groups of middle school students, vocational high school students, pro-science students of academic high schools, and pro-liberal arts students of academic high schools. From each partition, we sampled similar size of experimental groups which came up to total 1260 students. Analysing the answer sheets which the students responded about the questionnaire, we investigated the following questions using the ANOVA test. 1. Is there any differences in the trend of likings for each unit between the regional classifications? 2. Is there any differences in the trend of likings for each unit between the classifications of secondary schools? 3. What trends of changes are there in the degree of likings for each unit according to the rising of students\` grade?

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The Direction to Assessment of School Mathematics in Accordance with 2009 Reformed Curriculum (2009 개정 교육과정에 따른 수학과 평가가 나아가야 할 방향)

  • Kang, Myung-Won;Kim, Sung-Ho;Park, Ji-Hun;Lee, Sun-Joon;Cha, Yong-Woo;ChoiKoh, Sang-Sook
    • Communications of Mathematical Education
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    • v.24 no.2
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    • pp.301-323
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    • 2010
  • This study was to find the direction to assessment of school mathematics in accordance with 2009 reformed curriculum. As new trends in the latest reformed 2009 curriculum, creativity, multicultural education, and mathematics disposition were focused. In creativity, more items should be developed for enhancing students' ability in areas of fluency, elaborateness, and originality, besides flexibility which was mostly dealt in the formal assessments that have been done previously in school. In multicultural education. purposeful bilingual programs should be developed in mathematics education to improve not only students' language skill, but also mathematical ability. In mathematical disposition, various questionnaires including checklists along with clinical interview should be provided to evaluate students' on-going process of mathematical learning.

Exploration of Foreign Curriculums for the Improvement of the Korean Middle School Statistical Curriculum: Focusing on learning elements in Korea, the United States, Singapore, and Japan (중학교 통계영역의 교육과정 개선을 위한 외국 교육과정의 탐색: 한국, 미국, 싱가포르, 일본의 학습 요소 중심으로)

  • Kim, Somin
    • Journal of the Korean School Mathematics Society
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    • v.22 no.4
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    • pp.501-520
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    • 2019
  • This study compared and analyzed Korean, American, Singaporean, and Japanese middle school mathematics curriculum standards and the learning contents in statistics. Through a comparative analysis of the curriculums of these four countries, I found several overall features and differences between the curriculums. First, all four countries emphasized statistical education in a real-life context. Second, all four countries emphasized the use of technological tools. Third, there is a middle school grade in which only Korea does not deal with statistical domains. Fourth, the statistical areas of the United States, Singapore, and Japan focused on identifying trends or variability in data distribution. Fifth, I have found some contents that only Korea does not deal with. Based on this, the following recommendations were developed for the development of the next curriculum and new textbooks in Korea. First, the statistics curriculum should be changed from one that focuses on understanding statistical concepts to one that focuses on statistical activity that utilizes these concepts. Second, in terms of middle school statistical curriculum contents, the addition of interquartile range (IQR) and box plots as learning contents should be considered. IQR and box plots are simple and practical techniques for the comparison of multiple sets of data that can be easily learned and drawn by middle school level students and applied to real-life-related statistical data to expand statistical literacy. Through this study, it is suggested that IQR and box plots need to be included in the statistical curriculum of middle schools in Korea.

Performance Evaluation of Price-based Input Features in Stock Price Prediction using Tensorflow (텐서플로우를 이용한 주가 예측에서 가격-기반 입력 피쳐의 예측 성능 평가)

  • Song, Yoojeong;Lee, Jae Won;Lee, Jongwoo
    • KIISE Transactions on Computing Practices
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    • v.23 no.11
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    • pp.625-631
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    • 2017
  • The stock price prediction for stock markets remains an unsolved problem. Although there have been various overtures and studies to predict the price of stocks scientifically, it is impossible to predict the future precisely. However, stock price predictions have been a subject of interest in a variety of related fields such as economics, mathematics, physics, and computer science. In this paper, we will study fluctuation patterns of stock prices and predict future trends using the Deep learning. Therefore, this study presents the three deep learning models using Tensorflow, an open source framework in which each learning model accepts different input features. We expand the previous study that used simple price data. We measured the performance of three predictive models increasing the number of priced-based input features. Through this experiment, we measured the performance change of the predictive model depending on the price-based input features. Finally, we compared and analyzed the experiment result to evaluate the impact of the price-based input features in stock price prediction.

An Analysis of Research Trends on Statistics Education in Korea from 2000 to 2016 (우리나라 통계교육 연구의 동향 분석 - 2000년 이후 발행된 국내 통계교육 연구논문을 중심으로 -)

  • Tak, Byungjoo;Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.27 no.2
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    • pp.269-289
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    • 2017
  • Statistics education research is an important basis for improving the practice of statistical education by describing, predicting, and explaining the phenomena of statistical education. In this study, the research trends in Korea were analyzed through the statistical education research papers published in major Korean mathematics education journals on the 21st century. 99 papers published in these journals from 2000 to 2016 were categorized by journals, research subjects, research methods, and, topics. As a result, it was shown that there are not many statistics education researchers, so domestic researches are dependent on some researchers. In addition, the numbers of studies of human subjects and human non-subject researches were similar. There were few studies of university students, and the studies of teachers' subjects was gradually increasing since 2010. In the case of research methods, the numbers of experimental and non-experimental studies seem to be similar, but this is a result of the increase in qualitative research and mixed research since 2010. Last, many studies about domestic statistics education are on teaching and learning, and the studies on reasoning and understanding have been increasing. In this study, we see the research trends of domestic statistics education and provide implications for the future researches and development directions of statistical education research.

A Comparative Study of Mathematics Curriculum and National Assessment Between Japan and Korea (일본과 우리나라의 수학과 교육과정과 국가수준 학업성취도 평가 비교)

  • Rim, Haemee;Kim, Bumi
    • School Mathematics
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    • v.16 no.2
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    • pp.259-283
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    • 2014
  • This research investigated the Revised mathematics curriculum and the National Achievement Test of Japan that advanced by leaps and bounds in PISA 2012. As compared with Korea, Japan shows similar trends in the affective domain and the cognitive domain of international achievement test. To put it concretely, this research compared and analyzed the mathematics contents domain of the 2009 revised mathematics curriculum of Korea and the 2008 revised mathematics curriculum of Japan being applied. The analysis was conducted in many aspects including overall of Japanese mathematics education system, the contents to be covered in each grade, and the methods of essential learning themes. We compared the mathematics contents dealt with each country based on the framework of analysis such as

    . Also, this research compared and analyzed overview of evaluation system, assessment frame, item characteristic, type of item of NAEA, NAT, and PISA. The results show the introduction time, the degree of deepening themes handled in each country, common themes and topics were very similar between Korea and Japan. But content area of Japan and Korea have been highlighted in the curriculum of middle school and elementary school in each are different. We know that Test B of NAT also emphasized the use of mathematical knowledge. Form the results, we obtained the basic data for the improvement of the next our curriculum. In addition, this results suggests the implications for the improvement of school mathematics curriculum of Korea.

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  • An Analysis of Korean Middle School Student Science Achievement in Trends in International Mathematics and Science Study (TIMSS 2003) (수학.과학 성취도 추이변화 국제 비교 연구(TIMSS 2003)에서 우리나라 중학생들의 과학 성취도 분석)

    • Jeong, Eun-Young;Park, Chung;Kim, Kyung-Hee
      • Journal of The Korean Association For Science Education
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      • v.26 no.1
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      • pp.99-113
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      • 2006
    • In this study, Korean middle school student science achievement results in the "Trends in International Mathematics and Science Study" (TIMSS 2003) were analyzed according to international benchmarks, content area, gender and student attitudes toward science. Overall Korea ranked the third internationally and had a mean score of 558. Korean students achieved top ranking in physics, but fell to the ninth place in chemistry. Unliked their counter parts in similar countries such as Singapore and Chinese Taipei, Korean students did not reach the highest benchmark. Compared to previous assessment, Korean girls showed improved performance; however, significant gender differences still exist in Korea; apparent from the better performance of boys than girls in the study. It is also noteworthy that Korean students were found to have the lowest self-confidence in learning science, a lower valuing science, and less enjoying learning science even though they produced high achievement scores.

    Development of Blended Learning Program for CPS (CPS를 위한 Blended Learning 프로그램 개발 - 고등학교 수학내용을 중심으로 -)

    • Kim Young-Mi;Kim Hyang-Sook;Im Sun-Woo
      • Communications of Mathematical Education
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      • v.20 no.3 s.27
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      • pp.407-423
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      • 2006
    • The reason why creativity becomes the important subject in 21th century is that it does an important role which solves many problems surrounding our whole life in this internationalization, globalization, knowledge-information age. But scholars who formerly researched the creativity-field explain the necessity of creativity with the internal and fundamental reasons. That is, scholars say that creative activities produce originative products and originality itself. And it is the root of which will be able to discover meaning of life and it -creativity - is successive activities that is demanded when individual life want to obtain important value by expressing one's inner world to the outside using creative resource. Recently, with the trends of present age and the educational needs, research about creativity is actively carried out and it draws out the results that creativity can be developed and enhanced through education and training. So, now many researches have focused on how to develop the creativity. Investigating those researches, we found that the recent issues of researches on creativity were changing and now they focused on creative instruction methods and behavioral factors. Especially, they were selected as the subject related to the creative education - creative instructional method and program, atmosphere in classroom, and factors of teacher. It means that the past researches which were a little bit conceptive have been changing to material ones which will be able to enhance creativity and its effect. So, in this research, we have developed the program for CPS(Creativity Problem Solving) and verified its effect.

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    Gender Differences in Geometry of the TIMSS 8th Grade Mathematics Based on a Cognitive Diagnostic Modeling Approach (인지진단모형을 적용한 TIMSS 8학년 수학 기하 영역의 성차 분석)

    • Yi, Hyun Sook;Ko, Ho Kyoung
      • School Mathematics
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      • v.16 no.2
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      • pp.387-407
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      • 2014
    • Gender differences have been given major attention in mathematics education in the context of pursuing gender equity in instructional and learning environment. It had been traditional belief that male students would outperform female students in mathematics, especially in the areas as geometry. This belief has been given doubts by cumulated empirical evidences that gender differences are gradually diminishing or even reversing its direction as time goes on. In this study, gender differences in geometry were explored using TIMSS 8th grade mathematics data administered in TIMSS 2003, 2007, and 2011, based on a cognitive diagnostic modeling(CDM) approach. Among various CDM models, the Fusion model was employed. The Fusion model has advantages over other CDM models in that it provides more detailed information about gender differences at the attribute level as well as item level and more mathematically tractable. The findings of this study show that Attribute 3(Three-dimensional Geometric Shapes) revealed statistically significant gender differences favoring male students in TIMSS 2003 and 2007, but did not show significant differences in TIMSS 2011, which provides an additional empirical evidence supporting the recent observation that gender gap is narrowing. In addition to the general trends in gender differences in geometry, this study also provided affluent information such as gender differences in attribute mastery profiles and gender differences in relative contributions of each attribute in solving a particular item. Based on the findings of the CDM approach exploring gender differences, instructional implications in geometry education are discussed.

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    용용과 모델 구성을 중시하는 수학과 교육 과정 개발 방안 탐색

    • Jeong Eun Sil
      • The Mathematical Education
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      • v.30 no.1
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      • pp.1-19
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      • 1991
    • This study intends to provide some desirable suggestions for the development of application oriented mathematics curriculum. More specific objects of this study is: 1. To identify the meaning of application and modelling in mathematics curriculm. 2. To illuminate the historical background of and trends in application and modelling in the mathematics curricula. 3. To consider the reasons for including application and modelling in the mathematics curriculum. 4. To find out some implication for developing application oriented mathematics curriculum. The meaning of application and modelling is clarified as follows: If an arbitrary area of extra-mathematical reality is submitted to any kind of treatment which invovles mathematical concepts, methods, results, topics, we shall speak of the process of applying mathemtaics to that area. For the result of the process we shall use the term an application of mathematics. Certain objects, relations between them, and structures belonging to the area under consideration are selected and translated into mathemtaical objects, relation and structures, which are said to represent the original ones. Now, the concept of mathematical model is defined as the collection of mathematical objcets, . relations, structures, and so on, irrespective of what area is being represented by the model and how. And the full process of constructing a mathematical model of a given area is called as modelling, or model-building. During the last few decades an enormous extension of the use of mathemtaics in other disciplines has occurred. Nowadays the concept of a mathematical model is often used and interest has turned to the dynamic interaction between the real world and mathematics, to the process translating a real situation into a mathematical model and vice versa. The continued growing importance of mathematics in everyday practice has not been reflected to the same extent in the teaching and learning of mathematics in school. In particular the world-wide 'New Maths Movement' of the 19608 actually caused a reduction of the importance of application and modelling in mathematics teaching. Eventually, in the 1970s, there was a reaction to the excessive formallism of 'New Maths', and a return in many countries to the importance of application and connections to the reality in mathematics teaching. However, the main emphasis was put on mathematical models. Applicaton and modelling should be part of the mathematics curriculum in order to: 1. Convince students, who lacks visible relevance to their present and future lives, that mathematical activities are worthwhile, and motivate their studies. 2. Assist the acqusition and understanding of mathematical ideas, concepts, methods, theories and provide illustrations and interpretations of them. 3. Prepare students for being able to practice application and modelling as private individuals or as citizens, at present or in the future. 4. Foster in students the ability to utilise mathematics in complex situations. Of these four reasons the first is rather defensive, serving to protect or strengthen the position of mathematics, whereas the last three imply a positive interest in application and modelling for their own sake or for their capacity to improve mathematics teaching. Suggestions, recomendations and implications for developing application oriented mathematics curriculum were made as follows: 1. Many applications and modelling case studies suitable for various levels should be investigated and published for the teacher. 2. Mathematics education both for general and vocational students should encompass application and modelling activities, of a constructive as well as analytical and critical nature. 3. Application and modelling activities should. be introduced in mathematics curriculum through the interdisciplinary integrated approach. 4. What are the central ideas of, and what are less-important topics of application-oriented curriculum should be studied and selected. 5. For any mathematics teacher, application and modelling should form part of pre- and in-service education.

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