• Title/Summary/Keyword: Practical mathematics

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A Survey of Elementary School Teachers' Conception of the Aims of Teaching Mathematics (초등학교 교사들의 수학교육 목적 인식 실태 조사)

  • Pang, Jeong-Suk;Jung, Yoo-Kyung;Kim, Sang-Hwa
    • Education of Primary School Mathematics
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    • v.14 no.3
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    • pp.277-291
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    • 2011
  • It is necessary for the teacher to understand why teach mathematics in order to implement the visions and expectations of the national mathematics curriculum in her actual classroom. This study conducted a survey of examining how elementary school teachers might understand the purpose of teaching mathematics. The results of this study showed that teachers' conceptions of the purpose of teaching mathematics were related mainly to the development of logical thinking, practical use of mathematics in everyday life, and a tool for studying other subjects or disciplines. However, teachers did not perceive much other purposes of mathematics education such as understanding the world, appreciating aesthetic value of mathematics, and developing communicative ability as well as sociality. Whereas teachers did not think of the significance of mathematics as an intellectual field when asked to write down how they would explain students why they had to learn mathematics, they tended to strongly agree it in the Likert-scale responses. Teachers' conceptions were not different according to their gender but teachers with less than five years' teaching experience were relatively negative than others with more experience. Given these results, this study provided issues and implications of teachers' conceptions of the purpose of teaching mathematics.

The Relationship between Teacher, Instruction Variables and Students - Achievement based on TIMSS-1999 - (교사, 수업 변인과 학생 성취도의 상관관계 - TIMSS-1999 결과 분석 -)

  • Han, Kyeonghye-Hye
    • The Mathematical Education
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    • v.44 no.3 s.110
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    • pp.409-433
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    • 2005
  • This article is to provide information on school contexts for learning and instruction of mathematics based on the results and data of TIMSS 1999. It is organized around two major topics: teacher and students achievement, instruction and students achievement In this article the following summarizes the major findings. First, about $50\%$ of Korean eight-grade students were taught mathematics by teachers in their 30s, and this was higher than the international average. Most of teachers in Korea had certification of teachers majors in mathematics. Korean teachers reported relatively low confidence to teach mathematics compared to other counties. And Korean students taught by teachers who believes they were well prepared attained low achievement scores in contrast to international result. Second, korean teachers spent about $50\%$ of their formally scheduled school time teaching their subject, but is was below the international average. They spent much more time on administrative duties and other related activities than other countries. Korean students reported that most of their class time were spent lecture style presentations by teacher. Also they reported that teachers showed them how to do mathematics. The percentages of Korean students were placed on the low level of index of emphasis on mathematics reasoning and problem-solving. The students taught by teachers who emphasized reasoning and problem-solving showed low achievement scores in contrast with result of the previous literatures. Korean teachers didn't seem to emphasize homework and assessments. Internationally, teachers frequently used teacher-made objective tests and projects or practical exercises, but Korean teachers die less in most of categories. Based on the above findings, this article presents implications about teacher education, reduction of administrative working in teachers tasks, using everyday life topics, as learning materials, specialization instruction methods for each subject matter. This article is a kind of descriptive and factual in nature, but some attempt has been made to contextualize these results focused on teachers and instruction.

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Math Clinic for the Learning Disabilities (학습 부진아 수학 클리닉 운영 사례)

  • Kwean, Hyuk-Jin;Kim, Min-Kyung;Lee, Eun-Young
    • Journal of the Korean School Mathematics Society
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    • v.9 no.1
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    • pp.19-40
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    • 2006
  • There are various efforts to alleviate problems about the learning disabilities each year, however, the number of the learning disabilities has been increasing. Therefore, we need to consider and develop practical methods to help them. In this aspect, we review and examine previous research regarding the learning disabilities which are known to be general and comprehensive. Then we suggest math clinic as one of the methods to alleviate the problem. There are purposes of the math clinic. The first is to make a comprehensive diagnosis for basic (emotional, environmental, psychological) reasons as well as the learning anxiety; not only the lower achievement in learning. The second is to provide them suitable corrective programs which would help them to gain a better understanding about mathematics and a positive learning attitude. The third is to provide them applicabilities in their learning and potentialities so that we have given them foundation in mathematics. In this article, we operate math clinic for the learning disabilities, and then make an analysis of the student's error occurred in learning, and finally we suggest a demonstrative operating program of math clinic for learning disabilities.

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An Analysis of Mathematics Instruction for Professional Development of Elementary School Teachers for Gifted (초등 영재 교사의 수업 전문성 신장을 위한 수학 수업 사례 분석)

  • Kim, MinJeong;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.19 no.2
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    • pp.143-160
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    • 2016
  • Despite the recent increasing interest in classroom expertise of teachers for gifted there has been lack of research on exploring or analyzing the components of classes for gifted tailored to the characteristics of each subject matter Given this, this study looked for the components of performance domain of classes for gifted in mathematics and then analyzed one teacher's 12 lessons in terms of the components. The features of the lessons included the establishment of classroom atmosphere by considering the characteristics of mathematically gifted students, the introduction of or expansion to mathematically enriched tasks, promotion to mathematically higher thinking, and emphasis of mathematical pattern, connections, and utility. This study is expected for researchers to provide a practical case on how to analyze elementary classes for gifted in mathematics. It also helps teachers who teach gifted students to develop professional vision of mathematics instruction and to increase their classroom expertise.

Analysis on Qualitative Research in the Field of Elementary Mathematics Education (초등 수학교육 관련 연구에서 활용된 질적 연구 방법에 대한 분석)

  • Na, Jang Ham;Kim, Jinho
    • Journal of the Korean School Mathematics Society
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    • v.19 no.1
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    • pp.43-61
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    • 2016
  • This qualitative study investigates how qualitative research methods are applied into educational journals, especially focusing on research articles in the field of mathematics education. Since the mid 90s, there has been growing interest in qualitative research in Korea. As a result, qualitative research methods are becoming one of the main research methods in education, quite different from before the mid 90s that quantitative research methods themselves alone were undispute d research methods. However, such change in research methods also lead to a matter of concern, the rigor and quality of qualitative research. In order to identify how qualitative research methods are applied, this study carefully selects an d analyzes 5 article that used qualitative methods and were published by Education of Primary School Mathematics Journal in 2012. Several leading scholars' ideas and theories of qualitative research are used in the analytical process, with careful attention paid to every detailed element of 5 selected articles. In sum, this study concludes with practical implications for qualitative researchers and discusses future directions for improving qualitative research practice.

On the Attractive Teaching Methods of Mathematics for High School students in Island's region (도서지역 고등학생을 위한 흥미로운 수학지도 방안)

  • Park, Hyung-Bin;Lee, Heon-Soo
    • Journal of the Korean School Mathematics Society
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    • v.8 no.4
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    • pp.481-494
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    • 2005
  • In this study, the goal is to spread profound knowledge and theory through providing with accumulated methods in mathematics education to the students who are relatively neglected in educational benefits. The process is divided into 3 categories: mathematics for obtaining common sense and intelligence, practical math for application, and math as a liberal art to elevate their characters. Furthermore, it includes the reasons for studying math, improving problem-solving skills, machinery application learning, introduction to code(cipher) theory and game theory, utilizing GSP to geometry learning, and mathematical relations to sports and art. Based on these materials, the next step(goal) is to train graduate students to conduct researches in teaching according to the teaching plan, as well as developing interesting and effective teaching plan for the remote high school learners.

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A Case Study on the Use of Mathematical Materials in Elementary School Mathematics (초등수학 수업에서 교구의 활용에 대한 사례연구)

  • Choi, Eun-Joo;Choi, Chang-Woo
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.1
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    • pp.31-49
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    • 2009
  • Utilizing the mathematical materials in elementary mathematics education is known to increase the learners' creativity and interests for mathematics. Although the effects of mathematical materials have been frequently researched, a practical plan and a process to utilize the mathematical materials has been rarely researched. The dependence on the mathematical materials is tested by the students' responses to the mathematical problems in the class that allowed to use mathematical materials. The activities in the text book are reorganized to seven chapters for utilizing the mathematical materials. The dependence on the mathematical materials when solving the mathematical problems is investigated by the textbook, students' answers, and handouts. The conclusions of this study are: First of all, the activities using mathematical materials are reorganized within the mathematics education curriculum. The high interests are also investigated in all the learning level of learners. Second, the learners in the high learning level use the mathematical materials for their needs and the correction of their mistakes. The dependence on mathematical materials is lowest compared to the other level learners. Third, the learners in the mid learning level also use the mathematical materials for their needs and their mistakes, but are often confused when utilizing the materials. Fourth, the learners in the low learning level show their interests, and enthusiasm in the mathematical materials themselves. Their interests help to solve mathematical problems. The dependence on the materials is higher than the other level learners, but the dependence is not shown only for the low level learners.

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Process-Focused Assessment for Mathematical Subject Competency in Elementary Mathematics Classroom (초등 수학교실에서 역량 기반 과정중심평가의 적용 방안에 대한 연구)

  • Jeon, Youngju;Lee, Jong-hak
    • Journal of the Korean School Mathematics Society
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    • v.22 no.3
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    • pp.199-219
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    • 2019
  • It is necessary to study how to plan and perform the process-focused assessment of the teacher as the planner and practitioner to examine the application of the process-focused assessment for mathematical subject competency in a mathematics classroom. In this study, we designed and conducted an experimental lesson based on the process-focused assessment for elementary school students. This study explored the practical application of the process-focused assessment. In addition, we explored how to apply it to elementary mathematics education. This study suggests a method to embody the process-focused assessment class that can be applied in the 2nd grade mathematics class in elementary school. We propose future research on how to provide individual feedback to each student's needs in the process-focused assessment.

A Trend Analysis on the Educational Research of the Probability and Statistics - Focused on Papers Published in , the Journal of Korea Society of Mathematical Education - (확률.통계 연구에 대한 수학교육학적 고찰 -<수학교육>에 게재된 논문을 중심으로-)

  • 이영하;심효정
    • The Mathematical Education
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    • v.42 no.2
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    • pp.203-218
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    • 2003
  • The purpose of this study is to see what the essential characteristics are in teaching probability and statistics among various mathematical fields. we also tried to connect the study of probability and statistics education with what is needed for a science be synthetic to have its own identity as a unique research field. Since we searched for the future direction of the pedagogic study in the probability and statistics we first selected papers on probability and statistics published in (Series A), the Journal of Korea Society of Mathematical Education, and establish the following research questions. What kinds of characteristics can be found when papers on probability and statistics published in (Series A) are classified into low categories; contents of probability and statistics education, research method of the mathematics education, methods of teaming and teaching, and finally measurements and evaluation\ulcorner We classified papers into two kinds. One is related to the educational contents, consisting of the methods of learning and teaching, and of the measurement and evaluation. The other is reined to the methods of research, which is not a part of the educational curriculum but is essential for establishing the identity of mathematics education. According to the periods, papers on the curricular contents in 1960s were influenced by the New Mathematics, and papers on the curricular contents in 1980s were influenced by 'back to basic'. In 1990s, papers on methods of learning and teaching, and measurement md evaluation were increasing in number. Besides, (series A) from the Journal of Korea Society of Mathematical Education covers contents, methods of Loaming and teaching, and measurement and evaluation. And when I examined the papers on the contents of textbook of a junior high school related to the probability and statistics education and on methods of learning and teaching, 1 found that those papers occupy 1.84% in . When it comes to the methods of loaming and teaching, most of studies in (series A) are about application of concrete implement like experiment and practical application of computer programs, Through this study, I found that over-all and more active researches on probability and statistics are required and that the studies about methods of loaming and teaching must be made in diverse directions. It is needed that how students recognize probability and statistics, connection, communication and representation in probability and statistics context, too. (series A) does not have papers on methods of study. Mathematics pedagogy is a mixture of various studies - mathematical psychology, mathematical philosophy, the history of mathematics and Mathematics. So If there doesn't exist a proper method of study adequate in the situation for the mathematics education the issue of mathematics pedagogy might be taken its own place by that of other studies'. We must search for the unique method of study fur mathematics education so that mathematics pedagogy has its own identity as a study. The study concerning this aspect is needed.

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PERIODIC SENSING AND GREEDY ACCESS POLICY USING CHANNEL MODELS WITH GENERALLY DISTRIBUTED ON AND OFF PERIODS IN COGNITIVE NETWORKS

  • Lee, Yutae
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.129-136
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    • 2014
  • One of the fundamental issues in the design of dynamic spectrum access policy is the modeling of the dynamic behavior of channel occupancy by primary users. Under a Markovian modeling of channel occupancy, a periodic sensing and greedy access policy is known as one of the simple and practical dynamic spectrum access policies in cognitive radio networks. In this paper, the primary occupancy of each channel is modeled as a discrete-time alternating renewal process with generally distributed on- and off-periods. A periodic sensing and greedy access policy is constructed based on the general channel occupancy model. Simulation results show that the proposed policy has better throughput than the policies using channel models with exponentially distributed on- or off-periods.