• Title/Summary/Keyword: Mathematical Attitudes

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The study of the Gifted Students Education about Doing Mathematical Task with the Face Plot (얼굴그림(Face Plot)을 활용한 수학영재교육의 사례연구)

  • Kim, Yunghwan
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.369-385
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    • 2017
  • This study is to figure out the activity and disposition of gifted students with face plot in exploratory data analysis at middle school mathematics class. This study has begun on the basis of the doing mathematics at multivariate analysis beyond one variable and two variables. Gifted students were developed the good learning habits theirselves. According to this result, Many gifted students have an interesting experience at data analysis with Face Plot. And they felt the useful methods of creative thinking about graphics with doing mathematics at mathematical tasks. I think that teachers need to learn the visualization methods and to make and to develop the STEAM education tasks connected real life. It should be effective enough to change their attitudes toward teaching and learning at exploratory data analysis.

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Introducing the Mrs. Weill's Hill Diagram to Learning Algorithm (수 연산에서의 언덕도 도입의 실제)

  • Lee Eui-Won;Kim Jin-Sang;Lee Myung-Hee
    • Journal of Elementary Mathematics Education in Korea
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    • v.6 no.1
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    • pp.23-40
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    • 2002
  • Historically, the use of algorithms has been emphasized in the mathematics curriculum at the elementary school mathematics. The current reform movement in our country are seemed to emphasize the importance of algorithms in favor of problem-solving approaches, the conceptualization of mathematical processes and applications of mathematics in real world situations. Recently, children may come to school with a fairly well-developed attitude about mathematics and mathematical ideas. That is, they do not come to school and to learning mathematics with a clean slate. Because they have already formed some partial mathematical concepts in a wide variety of contexts. Many kindergarten children have attended pre-school programs where they played with blocks, made patterns, and started adding and subtracting. It seems that there are psychological change attitudes of the children in upper grades toward learning mathematics. In our elementary school mathematics, almost every student are still math anxious or have developed math anxiety because of paper-pencil test. In these views, this paper is devoted to introduce and apply to second grade students in ND-elementary school in Taegu City the new method for learning addition and subtraction so called ‘Mrs Weill's Hill’, which is believed as a suitable method for children with mathematical teaming disabilities and Math anxiety.

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Activities of Mathematical Problem Posing Using Real-Life Materials (생활 소재를 활용한 수학 문제 만들기 활동)

  • Choi, Hye-Jin;Kim, Sang-Lyong
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.121-139
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    • 2011
  • This study conducted experimental problem posing activities using real-life materials. This study investigated the changes on students' mathematical thoughts and attitudes through the activities. This study is conducted via participation of students in a 5th grade class of N elementary school located in Daegu city. As a qualitative case study, this study focused on processes of problem posing rather than results. The problems applying new situations appear, and the used mathematical terms, units, and figures became more practical. The numbers of problems made are increased gradually, and more complex conditions are added as activities are performed. Most of the students revealed interests about problem making activities.

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An Analysis of the Effects of Teaching Mathematics Underachievers by the Principles of Cognitively Guided Instruction (인지적으로 안내된 교수 원리를 적용한 수학학습부진아 지도 효과 분석)

  • Kim, Ji-Hye;Oh, Young-Youl
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.789-806
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    • 2010
  • As calls for more attention toward social minority group increases in our society recently, in the field of mathematics education more attention toward an issue about mathematics underachievers is being amplified. Thus, the present study is to examine the effects of teaching method considering students' cognitive characteristics on mathematical underachievers' problem solving and mathematical disposition. For this study, 10 fifth graders identified as mathematical underachievers based on the results of the national level diagnosis assessment and school based assessment were voluntarily selected from an elementary school in Seoul. The results of this study found out the fact that students participating in this program improved in terms of an ability both to solve problems in various ways and to explain an process of problem solving using spoken or written language and drawings. In addition, learning environment respecting students' own mathematical ideas seems to positively influence students' attitudes toward mathematics learning and mathematical dispositions. Furthermore, this study pointed out that mathematical underachievers tend to have difficulty in expressing their own mathematical thinking by reason of linguistic limitation. Finally, the findings of this study imply that for effective teaching of mathematics underachievers, these students' own informal experience and knowledge about mathematics as well as their characteristics regarding learning difficulties should be strongly considered.

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A study on the teaching of proofs based on Freudenthal's guided reinvention principle (Freudenthal의 안내된 재발명 원리를 적용한 증명 지도 방안에 대한 연구)

  • Han, Hye-Sook;Moon, Su-Jin
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.85-108
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    • 2009
  • The purposes of the study were to develop instructional materials based on Freudenthal's guided reinvention principle for teaching proofs and to investigate how the teaching method based on guided reinvention principle affects on 8th grade students' ability to write proofs and learning attitude toward proofs. Teaching based on guided reinvention principle placed emphasis on providing students opportunities to make a mathematical statement and prove the statement by themselves throughout various activities such as exploring, conjecturing, and testing the conjectures. The study found that students who studied proving with instructional materials developed by guided reinvention principle showed statistically higher mean scores on the posttest than students who studied by a traditional teaching method depending onteacher's explanation. Especially, on the posttest item which requested to prove a whole statement without presenting a picture corresponding to the statement, a big difference among students' responses was found. Many more students in the traditional group did not provide any response on the item. According to the results of the questionnaire regarding students' learning attitudes, the group who studied proving by guided reinvention principle indicated relatively more positive attitudes toward learning proofs than the counterparts.

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A Causal Model Analysis of Non-Cognitive Characteristics of Mathematics Learning (수학학습 정의적 영역에 대한 인과 모형 분석)

  • Lee, Hwan Chul;Kim, Hyung Won;Baeck, SeungGeun;Ko, Ho Kyoung;Yi, Hyun Sook
    • Communications of Mathematical Education
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    • v.31 no.2
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    • pp.187-201
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    • 2017
  • The study in this paper, which is part of a bigger study investigating non-cognitive characteristics of Korean students at the 4-12 grade levels, aims to identify the influential characteristics that explain students' decision to give up on mathematics learning. We consider seven non-cognitive student characteristics: value, interest, attitudes, external motivation, internal motivation, learning conation and efficacy. Data were collected from 21,485 Korean students, and were analyzed with a logistic regression method using SPSS. The findings show that efficacy was the most significant indicator of students' decision to give up on mathematics learning in all three grade level bands: elementary (4th-6th), middle (7th-9th) and high (10th-12th). In particular, the causal model analysis shows that students who highly value mathematics tend to have stronger internal and external motivation, which bring about stronger interest and learning conation, which in turn lead to positive attitudes and strong efficacy regarding the learning of mathematics. It was further found that while external motivation was a significant indicator of upper grade level students' decision to give up on mathematics learning, it was only a moderate indicator for lower grade level students. The findings of this study provide useful information about which non-cognitive areas need to be focused on, in what grade levels, to help students stay on track and not fall behind in learning mathematics.

A study on teacher and students' identities in elementary mathematics classroom (초등학교 5학년 수학교실에서 교사와 학생의 정체성 분석)

  • Kwon, Jeom-Rae;Shin, In-Sun
    • The Mathematical Education
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    • v.44 no.4 s.111
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    • pp.603-625
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    • 2005
  • Identity is the concept which approaches individuals' affective problems with the social and cultural view. The previous studies on the problems, studied the attitudes, beliefs, or emotions while they restricted the problems to teachers or students' private problems. Otherwise, identities focus on individuals which participate to any community and share its social practices(Mclead, 1994). This study purposed to get an understanding on the teaching and learning mathematics in elementary mathematics classroom with an ethnographic view, while we consider mathematics as a kind of social practices, and mathematics classrooms as communities of practice. We analysed teacher's identities on mathematics and teaching mathematics depending on her responses of the questions as following: How does she think about mathematics, what are the instructional goals in her mathematics classroom, how do students learn mathematics in her mathematics classroom. In addition, we analysed students' identities on mathematics and learning mathematics depending on their responses of the questions as following: What do students think of mathematics, do they like mathematics, why do they study mathematics, how do they feel their mathematics classroom(describe your classroom) and themselves in it(describe yourselves in your classroom), what are their duties and what do they do actually in their mathematics classroom.

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Students' Self-Regulated Learning Strategies in Traditional and Non-Traditional Classroom: A Comparative Study

  • Davaanyam, Tumenbayar;Tserendorj, Navchaa
    • Research in Mathematical Education
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    • v.19 no.1
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    • pp.81-88
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    • 2015
  • This study used a posttest control group design and to find out differences between students' self-regulated learning strategies in traditional and non-traditional classroom. To this end, 131 first year university students within the experimental and control groups took part in the study. While ICT-based approach was used as the main medium of instruction in the experimental group, in the control group the paper-based traditional method was used. A survey adapted from Davaanyam [Davaanyam, T. (2013). The structural relationships among Mongolian students' attitudes toward mathematics, motivational beliefs, self-regulated learning strategies, and mathematics achievement. Ph. D. Dissertation. Jeonju, Jeonbuk, Korea: Chonbuk National Unversity.] was used to gather the data. The results of the study indicated a significant difference between the control and experimental groups in regard with their self-regulated learning. That is to say, the experimental group taught through ICT tools acquired higher levels of self-regulation as compared with the control group instructed through the traditional teaching method.

관찰 및 추천에 의한 영재교육대상자 선발방식 분석 - 2011학년도 대학부설 과학영재교육원 입학전형을 중심으로 -

  • Kwon, Ern-Gun;Jo, In-Seo
    • East Asian mathematical journal
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    • v.28 no.2
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    • pp.215-232
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    • 2012
  • The methods of selection through observations and recommendations were introduced in the process of recruiting new students for the science education institutes for the gifted attached to 25 universities recently. This paper itemized the methods of screening through observations and recommendations. This paper also analyzed the problems with the methods and attempted to create plans for their improvement. The methods of selection through observations and recommendations led to the positive results that students' usual activities and attitudes in the classroom were reflected on the evaluation and that the cost of their private lessons was also reduced. However, the methods showed a few problems that need to be corrected. We point out problems occurring with examining their documents for submission and interviews. It was not easy to grade candidates' gifts, creativity, potential and development within the contents of the documents and the limited time of conducting interviews. On the plans for the developments of the implemented methods of selection through observations and recommendations, we have several suggestions. The chances for teachers' in-service training of learning the methods of selection through observations and recommendations need to be expanded. The interview needs to be enhanced and to have the same weight as the document screening. To secure the continuity of the education for the gifted, the clear guidelines from the Ministry of Education, Science, Technology along with the cooperation of the education institutes for the gifted are essential.

School Mathematics and Mathematics Education Focusing on the Change in the Enlightenment Period (개화기를 중심으로 살펴본 학교수학과 수학교육)

  • Cha Joo-Yeon
    • Communications of Mathematical Education
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    • v.20 no.2 s.26
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    • pp.207-214
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    • 2006
  • Mathematics can be divided into practical mathematics and logical mathematics. The 'Enlightenment Period' is the period in which our mathematics shifted from practical mathematics to logical mathematics. Considering the change of our school mathematics and mathematics education in the enlightenment period, we reach the following conclusions. First, the contents and forms of mathematics books followed to Western style, but the attitudes adhered to on. Second, making much of results than process, we are afraid of proof. Third, we necessitate the mathematics culture of enjoying itself.

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