• Title/Summary/Keyword: analysis of mathematics classes

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The Study on the Influence that the Understanding Degree about the Sentence Stated Math. Problems Reach the Extension of the Problem Solving Capacity. - Focusing on the Unit of Equation and Inequality in Middle School - (문장제에 대한 이해정도가 문제해결력 신장에 미치는 영향에 대한 연구 -중학교 방정식과 부등식 단원을 중심으로-)

  • 지재근;오세열
    • Journal of the Korean School Mathematics Society
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    • v.3 no.1
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    • pp.189-200
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    • 2000
  • The purpose of this thesis is that the students understand the sentence stated math problems closely related to the real life and adapted the right solving strategies try to find the solution to a problem. The following research problem were proposed. 1. How repeated thinking lessons develop the understanding of problems and influence the usage of correct problem solving strategies and extensions of problem solving. 2. There are how much differences of achievement for each type of sentence stated problems by using comparative analysis of upper class, intermediate class, and lower class for each level between the experimental and comparative classes. In order to conduct this research the classes were divided into three different level - upper class, intermediate class and lower class. Each level include an experimental class and a comparative class. The two classes (experimental class and comparative class) of the same level were tested on the basis of class division record with the experimental class repeated learning papers for two weeks were used to guide the fixed thinking algorism for each sentence stated math problems. Eight common problems were chosen from a variety of textbooks : number calculation problems, velocity-distance-time problems, the density of a mixture, benefit problems, distribution problems, problems about working, ratio problems, the length of a figure problems. After conducting this research experiment The differences in achievement level between the experimental class and comparative class, were compared and analyzed through achievement tests made from the achievement test papers with seven problems, which were worth seventy points (total score). The conclusions of this thesis are as follows: Firstly, leaning activities through the usage of repeated learning papers for each level class produce an even development of achievement level especially in the case of the upper class learners, they have particular differences (between experimental class and comparative class) compared to the intermediate level and lower classes. Secondly, according to the analysis about achievement development each problems, learners easily accept the strategies of solution through the formula setting up to the problem of velocity -distance-time, and to the density of the mixture they adapted the picture drawing strategies interestingly, However each situation requires a variety of appropriate solution strategies. Teachers will have to employ other interesting solution strategies which relate to real life.

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On the Learning of Algebraic Language: the Teaching of literal Expressions (대수적 언어 학습으로서의 문자식의 지도 - 중학교 1학년 문자와 식 단원의 지도 계획안 구성 및 수업 사례 -)

  • 김남희
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.439-452
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    • 1998
  • In this Study, I concerned the learning-teaching of the use of letters in algebra. Our Study can be summarized as follows; First, I tried to establish the theoretical Foundation necessary for the learning-teaching of the use of letters in literal expressions. Second, I made a course of study that leads to the understanding of the meaning and the use f literals in algebraic expressions. Third, Based on this course of study, I held classes on First-grade students in middle school and I carried on an investigation their understanding of the meaning and the use of literals in algebraic expressions. Finally, I made an analysis of findings in this investigation and identified student's a better understanding of the meaning and the use of literals in algebraic expressions.

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A Study on Mathematical Interaction and Problem Solving via Web-Based Discussion (웹을 활용한 온라인 토론과 수학적 상호작용 및 문제해결에 관한 연구)

  • Cho, Min-Shik;Kim, Eun-Jin
    • Journal of Educational Research in Mathematics
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    • v.12 no.1
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    • pp.109-124
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    • 2002
  • This study investigated various effects of WBD(web-based discussion) on mathematical communication, interaction and problem solving in the classroom. We developed a web site including BBS and chat room in order to encourage students' mathematical curiosities and self-studies. The web site had been operated for 6 months. Five classes of 1st grade students were selected from an middle school in Daejon. Moreover, we analyzed several cases for interactional behavior and effect. WBD promote dialogue between a teacher and students. Analysis of feed-back from BBS revealed that student's negative attitudes could be changed to positive ones by step-by-step discussions. Moreover, collaborative learning is enhanced by on-line discussion. But the effects of WBD are affected by the character and ability of a student.

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New Learning Environment of Linear Algebra in Korea

  • Lee Sang-Gu;Han Yoonmee
    • Research in Mathematical Education
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    • v.9 no.1 s.21
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    • pp.59-68
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    • 2005
  • We are introducing a new learning environment for linear algebra at Sungkyunkwan University, and this is changing our teaching methods. Korea's e-Campus Vision 2007 is a program begun in 2003, to equip lecture rooms with projection equipment, View cam, tablet PC and internet D-base. Now our linear algebra classes at Sungkyunkwan University can be taught in a modem learning environment. Lectures can easily being recorded and students can review them right after class. At Sungkyunkwan University almost $100\%$ of all large and medium size lecture rooms have been remodeled by Mar. 2005 and are in use. We introduce this system in detail and how this learning environment changed our teaching method. Analysis of the positive effect will be added.

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A Study on Achievement and Learning Attitude Through Task Learning by Level (수준별 과제학습을 통한 학력신장과 학습태도에 대한고찰)

  • 이종연;이창수
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.279-294
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    • 1999
  • The level-based task learning had an effect on enhancing the math achievement of enrichment and ordinary classes. Besides, the analysis of mathematical attitude change showed that the level-based task learning took effect in the experimental class in every domain, including self-confidence, flexibility, will power, reaction and value, while it made little difference to the comparative class. The findings were as follows in detail. 1. The Outcome of the Achievement Test 1) The Enrichment Class In the first two tests, there were little differences in the enrichment class, But the disparity between the experimental and comparative classes became larger as this study advanced with 4.3 for the third test, 6.4 for the fourth and 6.1 for the fifth. 2) The Ordinary Class In the first to fifth achievement tests, the ordinary class made less difference than the enrichment class did. But there appeared some effect as this study progressed, since the mean grade disparity between the experimental and comparative classes was 2.1 for the first test, 3.5 for the second, 3.9 for the third, 4.4 for the fourth and 6.3 for the fifth. 3) The Supplementary Class The supplementary class showed no big difference in the first two tests. But, like the ordinary class, there was some effect with the lapse of the third 2.9 for the test, 3.2 for the fourth and 4.1 for the fifth. 2. The Change of Mathematical Attitude 1) The Experimental Class The task learning by level had a great deal of effect on the experimental class, as the pre-and post-comparative analyses showed that this class's grades were 5.1 for self-confidence, 10.8 for flexibility, 11.3 for will power, 9.7 for curiosity, 10.9 for reaction and 2.8 for value. 2) The Comparative Class The relative comparison between the comparative class and experimental class revealed that there was a hole effect on the comparative class. 3. The Outcome of Questionnaire Survey 1) They showed a positive reaction, as 40.1% of them answered the level-based task loaming served to raise their achievement, and 48.0% told so-so, and 11.9% replied they weren't helped by it. 2) The results after the experiment were;37.8% of the students say they under- stood practically everything while 12.6% of them say they under stood almost half. 3) The will to learn after the experiment shows dramatic changes between the two classes, The students in the enrichment class showed better will to learn than the students in the ordinary and supplementary classes did.

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A Study on Possibility of Research Community for Mathematics Classroom of Expert-Inservice Teacher-Preservice Teacher (전문가-현장교사-예비교사 수학수업 연구 공동체의 가능성 탐색)

  • Kang, Hyun Young;Tak, Byungjoo;Ko, Eun-Sung
    • School Mathematics
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    • v.18 no.4
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    • pp.857-880
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    • 2016
  • The development of teacher's professionalism through teacher education is a key element in the improvement of school education. However, there has been criticism that the mathematics teacher education in Korea do not provide given enough opportunities for the classroom experience during preservice teacher education period. For development of inservice mathematics teachers and preservice teachers' teaching professionalism, this study develops a research community for mathematics classroom consisting of experts, inservice mathematics teachers, and preservice teachers. And the study explores the possibilities of the model as an educational space for inservice teachers and preservice teachers by participating in a series of courses such as task development and revision, and observation and analysis of classes. As results, inservice teachers and preservice teachers were able to enhance the practical experience and understanding necessary for the class, and they were also positively influenced in teacher efficacy and view of teaching on the model. Based on this, we suggest the possibility of the model as a teacher education system.

International Comparison of Performance Verbs included in Achievement Standards of Mathematics Curriculum: Focusing on South Korea, the United States, the United Kingdom, and Australia (수학과 교육과정 성취기준에 포함된 수행 동사 국제 비교: 한국, 미국, 영국, 호주의 수학과 교육과정을 중심으로)

  • Kwon, Jeom-Rae;Jung, Hye-Yun;Jung, Soo-Yong
    • Communications of Mathematical Education
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    • v.37 no.2
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    • pp.105-134
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    • 2023
  • The purpose of this study is to explore which performance verbs are used in the achievement standards of the Korean mathematics curriculum and how to improve them. So, first, we analyzed whether there were differences in the performance verbs included in the 2015 revised mathematics curriculum achievement standards by school level. In addition, it was analyzed whether there were differences in the performance verbs included in the mathematics curriculum in Korea and foreign countries. As a result of the analysis, both the frequency and the type of performance verbs included in the achievement standards of the Korean mathematics curriculum decreased as the school level increased. Also, performative verbs such as 'understand' and 'know' were excessively used. Similar tendencies were seen in foreign mathematics curricula, but the frequency and the type of performance verbs were higher than those in Korea, and various performance verbs were used. As a result of the study, it is suggested that performance verbs included in achievement standards need to be improved to improve middle and high school mathematics classes.

A Comparative Analysis on Educational Achievement in Mathematics Classifying by Content Areas of the Primary and Secondary School Students (초.중.고등학생의 수학과 내용 영역별 학업성취도 비교 분석 -2003~2008년 국가수준 학업성취도 평가 결과를 중심으로-)

  • Lee, Bong-Ju
    • Journal for History of Mathematics
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    • v.23 no.4
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    • pp.59-82
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    • 2010
  • The Purpose of this study is to draw a few lessons for the effective teaching and learning throughout a comparative analysis on the results of the educational achievement on Mathematics of the primary and secondary school students. The primary sources for this research are based on the results of the six-times national level tests performed annually by all level students from 2003 to 2008. In order to achieve this goal, I, firstly, extract the lowest content area in terms of the annual average of the right answer ratio after examining the ratio of right answers to each math problem by classifying all multiple-choice questions of the educational achievement tests from 2003 to 2008 into the relevant content areas. Next, the characteristics of the content area which distinguish the lowest right answer ratio are qualitatively analyzed. Lastly, information on the content area which the school students of all classes feel very difficult to solve is provided via reckoning the average right answer ratio per each content area against all math questions at the last six-times of the national level tests.

Analysis of Recognition and Needs for Parents in Elementary, Middle, and High Schools for Mathematics Education (초·중등 학부모 대상 수학교과 인식 및 요구 조사)

  • Lee, Hyeung Ju;Kim, Hyeongsik;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.35 no.3
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    • pp.213-231
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    • 2021
  • This study is intended to investigate contents related to parents' perception and satisfaction level of school mathematics curriculum. Based on the results, this study intended to deduce implications for mathematics education in schools, child education, and parent education. According to the result of the survey, the more positively the parents perceived the value of the mathematics learning, the more positively the child perceived, and the higher the parent's participation rate in mathematics-related education was. In terms of perception of teaching and learning activities, it showed that the willingness to participate in educational programs was lower for the parents of middle and high school students than the parents of elementary school students and the parents of elementary school students also showed higher satisfaction level of school mathematics curriculum. parents have perceived the necessity of teaching and mathematics education to develop artificial intelligence or data analysis skills. It was also found that the parents of middle and high school students' participation experience in education had an effect on the satisfaction level of their children's math teacher's class preparedness. Parents perceived positively to how pragmatic mathematics curriculum can be and provided answers to what they wish in specific mathematics classes in learning methods and future mathematics learning. As this is for educational experts to consider much in-depth in the future, this study suggested the need for diverse parents' education related to mathematics including the expansion of mathematics education with parents' participation, the creation of a mathematics learning environment for future mathematics learning.

An analysis of preservice mathematics teachers' reading of curriculum materials: Focused on conditional probability (예비 수학교사들의 교육과정 자료 해석: 조건부확률을 중심으로)

  • Ku, Nayoung;Tak, Byungjoo;Choi, Inyong;Kang, Hyun-Young
    • The Mathematical Education
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    • v.58 no.3
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    • pp.347-365
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    • 2019
  • It is important to pay attention to how teachers recognize and use curriculum materials in order to link written curriculum and enacted curriculum. In this study, 90 preservice mathematics teachers were surveyed to identify their perspective and reading of curriculum materials. Especially, we focused on the curriculum documents, textbooks, and teachers' guidebooks containing the concept of conditional probability which is addressed in highschool mathematics curriculum. The various misconceptions of conditional probability were reported in the many researches, and there are multiple methods to introduce conditional probability in mathematics classes. As a result, curriculum materials have some limits to be used as they are and considered to be reconstructable by participants, but their curriculum reading were mainly classified to be descriptive and evaluative, not to be interpretive. However, unlike curriculum documents, textbooks and teachers' guidebooks were partially interpreted by participants using their knowledge of conditional probability. The purpose of this study is to investigate the profession of mathematics teachers in terms of curriculum implementation. We expect that this study will provide a basic framework for analyzing mathematics teachers' works and suggest some implications for the professional development of mathematics teachers.