• Title/Summary/Keyword: geometry learning

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The Analysis on Utilization Trend of the Technology in Secondary Mathematics Textbooks Based on the $6^{th}$, $7^{th}$ and 2007 Revised Curriculum in Korea (교육과정에 따른 중등 수학과 교과서에서 공학 도구 활용의 변화 분석)

  • Kim, Mi Hwa;Son, Hong Chan
    • School Mathematics
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    • v.15 no.4
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    • pp.975-994
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    • 2013
  • In this paper, we analyzed the utilization trend of technology in the secondary mathematics textbooks based on the 6th, 7th and 2007 revised mathematics curriculums in Korea. We analyzed 30, 60 and 90 mathematics books based on the 6th, 7th and 2007 revised mathematics curriculums respectively. The analysis focused on three aspects of using technology, i.e., contents areas in which technology used, technological tools and programs used, and methods of using technology in teaching and learning mathematics. The results shows that the frequency of using technology in mathematics books has been increased as mathematics curriculum has been revised. In the mathematics books based on th 6th curriculum, only 25 scenes were found, but in 7th and 2007 revised curriculum 248 and 355 scenes were found. In the 6th curriculum, calculators and graphing calculators were used mainly, but in the 7th and 2007 revised curriculum many kinds of technological tools and softwares were used including CAS, dynamic geometry software, spreadsheets, programming language, and the Internet. Especially the internet was used frequently in the 7th curriculum. And the methods of using technology has been diversified as time passed. In the 6th curriculum, the technology mainly used for introducing technology and simple calculation, but in the 7th and 2007 revised curriculum the technologies and software were also used for understanding mathematical laws, principles and concepts and students-centered exploring the mathematical properties.

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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.

Difference of the scores of multiple-choice and descriptive problem and students' perceptions of the difference - Focused on high school geometry course - (선다형 문제와 서술형 문제의 점수 차이와 이에 대한 학생들의 인식 -고등학교 기하 교과를 중심으로-)

  • Hwang, Jae-woo;Boo, Deok Hoon
    • The Mathematical Education
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    • v.57 no.3
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    • pp.197-213
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    • 2018
  • Descriptive problems can be used to grow student's ability of thinking logically and creatively, because it shows if the students had a reasonable way of thinking. Rate of descriptive problems is increasing in middle and high school exams. However, students in middle and high schools are generally used to answering multiple-choice or short-answer questions rather than describing the solving process. The purpose of this paper is to gain a theoretic ground to increase the rate of descriptive problems. In this study, students were to solve some multiple-choice problems, and after a few weeks, to solve the problems of same contents in the form of descriptive problems which requires the students to write the solving process. The difference of the scores were measured for each problems to each students, and students were asked what they think the reason for rise or fall of the score is. The result is as follows: First, average scores of 7 of 8 problems used in this study had fallen when it was in descriptive form, and for 5 of them in the rate of 11.2%~16.8%. Second, the main reason of falling is that the students have actual troubles of describing the solving process. Third, in the case of rising, the main reason was that partial scores were given in the descriptive problems. Last, there seems a possibility gender difference in the reason of falling. From these results, followings are suggested to advance the learning, teaching and evaluation in mathematics education: First, it has to be emphasized enough to describe the solving process when solving a problem. Second, increasing the rate of descriptive problems can be supported as a way to advance the evaluation. Third, descriptive problems have to be easier to solve than multiple-choice ones and it is convenient for the students to describe the solving process. Last, multiple-choice problems have to be carefully reviewed that the possibility of students' choosing incorrect answer with a small mistake is minimal.

Spontaneous Speech Emotion Recognition Based On Spectrogram With Convolutional Neural Network (CNN 기반 스펙트로그램을 이용한 자유발화 음성감정인식)

  • Guiyoung Son;Soonil Kwon
    • The Transactions of the Korea Information Processing Society
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    • v.13 no.6
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    • pp.284-290
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    • 2024
  • Speech emotion recognition (SER) is a technique that is used to analyze the speaker's voice patterns, including vibration, intensity, and tone, to determine their emotional state. There has been an increase in interest in artificial intelligence (AI) techniques, which are now widely used in medicine, education, industry, and the military. Nevertheless, existing researchers have attained impressive results by utilizing acted-out speech from skilled actors in a controlled environment for various scenarios. In particular, there is a mismatch between acted and spontaneous speech since acted speech includes more explicit emotional expressions than spontaneous speech. For this reason, spontaneous speech-emotion recognition remains a challenging task. This paper aims to conduct emotion recognition and improve performance using spontaneous speech data. To this end, we implement deep learning-based speech emotion recognition using the VGG (Visual Geometry Group) after converting 1-dimensional audio signals into a 2-dimensional spectrogram image. The experimental evaluations are performed on the Korean spontaneous emotional speech database from AI-Hub, consisting of 7 emotions, i.e., joy, love, anger, fear, sadness, surprise, and neutral. As a result, we achieved an average accuracy of 83.5% and 73.0% for adults and young people using a time-frequency 2-dimension spectrogram, respectively. In conclusion, our findings demonstrated that the suggested framework outperformed current state-of-the-art techniques for spontaneous speech and showed a promising performance despite the difficulty in quantifying spontaneous speech emotional expression.

A Study on Teaching Mathematical Proofs of the Middle School Students Using the 'Poof Assisted Cards' (증명보조카드를 활용한 중학생의 증명지도에 관한 연구)

  • Cho, Cheong-Soo;Lee, Jeong-Ja
    • Journal of the Korean School Mathematics Society
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    • v.9 no.4
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    • pp.521-538
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    • 2006
  • The purpose of this study is to examine the effect of teaching mathematical proofs that made use of the 'proof assisted cards' at the second year of middle school and to investigate students' ability to geometric proofs as well as changes of mathematical attitudes toward geometric proofs. The subjects are seven students at the 2nd year of D Middle School in Daegu who made use of the 'proof assisted cards' during five class periods. The researcher interviewed the students to investigate learning questions made by students as well as the 'proof assisted cards' before and after use. The findings are as follows: first, the students made change of geometric proof ability by proof activity with the 'proof assisted cards' and second, the students made significant change of mathematical attitudes toward geometric proofs by proof activity using the cards.

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On Parameterizing of Human Expression Using ICA (독립 요소 분석을 이용한 얼굴 표정의 매개변수화)

  • Song, Ji-Hey;Shin, Hyun-Joon
    • Journal of the Korea Computer Graphics Society
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    • v.15 no.1
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    • pp.7-15
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    • 2009
  • In this paper, a novel framework that synthesizes and clones facial expression in parameter spaces is presented. To overcome the difficulties in manipulating face geometry models with high degrees of freedom, many parameterization methods have been introduced. In this paper, a data-driven parameterization method is proposed that represents a variety of expressions with a small set of fundamental independent movements based on the ICA technique. The face deformation due to the parameters is also learned from the data to capture the nonlinearity of facial movements. With this parameterization, one can control the expression of an animated character's face by the parameters. By separating the parameterization and the deformation learning process, we believe that we can adopt this framework for a variety applications including expression synthesis and cloning. The experimental result demonstrates the efficient production of realistic expressions using the proposed method.

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An Analysis on Teaching Quadrilaterals in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 나타난 사각형 지도 방법에 대한 분석)

  • Kim, Hyun-Jeong;Kang, Wan
    • Education of Primary School Mathematics
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    • v.11 no.2
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    • pp.141-159
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    • 2008
  • The purpose of this study id to delve into how elementary mathematics textbook deal with the quadrilaterals from a view of Didactic Transposition Theory. Concerning the instruction period and order, we have concluded the following: First, the instruction period and order of quadrilaterals were systemized when the system of Euclidian geometry was introduced, and have been modified a little bit since then, considering the psychological condition of students. Concerning the definition and presentation methods of quadrangles, we have concluded the following: First, starting from a mere introduction of shape, the definition have gradually formed academic system, as the requirements and systemicity were taken into consideration. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Concerning the contents and methods of instruction, we have concluded the following: First, the subject of learning has changed from textbook and teachers to students. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Third, when instructing the characteristics and inclusive relation, students could build up their knowledge by themselves, by questions and concrete operational activities. Fourth, constructions were aimed at understanding of the definition and characteristics of the figures, rather than at itself.

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A Historical Analysis on Trigonometric Functions (삼각함수 개념의 역사적 분석)

  • Yoo, Jae Geun
    • Journal of Educational Research in Mathematics
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    • v.24 no.4
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    • pp.607-622
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    • 2014
  • The purpose of this paper is that it analyzes the historical development of the concept of trigonometric functions and discuss some didactical implications. The results of the study are as follows. First, the concept of trigonometric functions is developed from line segments measuring ratios to numbers representing the ratios. Geometry, arithmetic, algebra and analysis has been integrated in this process. Secondly, as a result of developing from practical calculation to theoretical function, periodicity is formalized, but 'trigonometry' is overlooked. Third, it must be taught trigonometry relationally and structurally by the principle of similarity. Fourth, the conceptual generalization of trigonometric functions must be recognized as epistemological obstacle, and it should be improved to emphasize the integration revealed in history. The results of these studies provide some useful suggestions to teaching and learning of trigonometry.

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A Comparative Analysis on Research Trends of Secondary Mathematics Education between Korea and Overseas (국내외 수학교육 연구 동향 비교 분석)

  • Park, Seon-Yeong;Kim, Won-Kyung
    • The Mathematical Education
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    • v.50 no.3
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    • pp.285-308
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    • 2011
  • The objective of this study is to review how researches on mathematics education are being conducted currently in Korea and overseas and to examine the current state of domestic researches on mathematics education from a broader view. Although many efforts have been made to understand trends in researches on mathematics education, there have been few in depth studies on research trends in overseas or for comparison between domestic and overseas trends. Thus, this study classified and analyzed 181 domestic articles between 2005 and 2009 in the journals and and 201 overseas articles in the journals and according to year, research area, research contents, school level, research method, and key words using the PME classification system with some modification. Through these analysis, we examined research trends on secondary mathematics education in Korea and overseas. The research findings are as follows. First, 'teaching learning process' was a spotlight area both at home and overseas, and 'realistic mathematics' and 'social cultural subjects' were not covered much either at home or overseas. 'Mathematical communication' occupied a very small portion in Korea but was a highly interesting area in overseas research. Second, research contents of interest were different between Korea and overseas. Research on general area was the mainstream. But geometry and statistics were mainly studied in Korea and algebra and analysis in overseas. Third, research related to middle school was twice more than that related to high school in Korea, But, research related to middle school was the same as high school in overseas. Fourth, qualitative research was the absolute majority both at home and overseas, and philosophical didactical analysis was used only in Korea. Fifth, the order of key words were problem solving - teacher - curriculum - creativity - textbook in Korea, but teacher - teaching - semiotic - affective factor - proo f- problem solving - technology in overseas.

Changes in the In-Service Teachers' Perception after Applying Mathematics Textbook Based on Storytelling for Elementary First and Second Grades (초등학교 1.2학년 스토리텔링 기반 수학교과서 적용을 통한 교사의 인식 변화)

  • Kwon, JongKyum;Lee, YoungHye;Lee, BongJu
    • School Mathematics
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    • v.15 no.4
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    • pp.683-699
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    • 2013
  • At the point when textbooks based on storytelling have been used in math classes for elementary first and second grades, this research analyzed any changes in perspectives of in-service teachers towards storytelling education, to promote further application for teaching and learning math by storytelling in the future. 30 in service teachers who have used math textbooks based on storytelling were surveyed in March and in July, 2013. For the better understanding of the survey results, four of the subjects were selected and interviewed. Consequently, teachers' perspectives towards the appropriateness and efficiency of the storytelling education did not change significantly. It also suggested that the most suitable area for storytelling is measurement, the least suitable area is geometry, and storytelling by real-life applications is effective in teaching elementary math.

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