• Title/Summary/Keyword: High School Students' beliefs of Mathematics

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An Analytic Study of Beliefs about Mathematics and Mathematics Education of High School Students' (고등학교 학생들의 수학 본질과 수학 학습에 대한 신념 연구)

  • Nam, Yun-Jung;Song, Yeong-Moo
    • School Mathematics
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    • v.10 no.4
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    • pp.649-669
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    • 2008
  • The study focuses on what to consider and do for the improvement of math education of Korea by comparing two general high school students' and two specialized high school students' beliefs about mathematics and mathematics learning. The major topics compared in the beliefs are composed of perception of mathematics as a science, learning methods of mathematics. The results of the study show that two general high school students tend to set more low value on mathematics, especially in the value of implement, civilization, utility of mathematics than that of two specialized high school students.

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Analysis of the Effect in Mathematics Teachers Beliefs on their Students Beliefs by Latent Class Regression Model (잠재집단회귀모델(LCRM)을 통한 학생의 수학적 신념에 대한 교사의 수학적 신념 영향분석)

  • Kang, Sung Kwon;Hong, Jin-Kon
    • Communications of Mathematical Education
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    • v.34 no.4
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    • pp.485-506
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    • 2020
  • The purpose of this study is to analyze of the effect in Mathematics Teachers beliefs on their students beliefs by Latent Class Regression Model (LCRM). For this analysis, the study used the findings and surveys of Kang, Hong (2020) who developed a belief profile by analyzing the mathematical beliefs of 60 high school teachers and 1,850 second-year high school students learning from them through the Latent Class Analysis (LCA). As a result It was observed that 'Nature of Mathematics', 'Mathematic Teaching' and 'Mathematical Ability' of mathematics teachers beliefs influence the mathematical beliefs of students. The teacher's belief of 'Nature of Mathematics' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Mathematics Learning'. The teacher's belief of 'Teaching Mathematics', 'Mathematical Ability' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Self-Concept'. The results of this study can give a preview of the phenomenon in which teacher's mathematical beliefs are reproduced into student's mathematical beliefs. In addition, the results of observation of this study can be used to the contents that can achieve the purpose of reorientation for mathematics teachers.

The self-efficacy beliefs of gifted students in the area of sciences and High Achievers -Focused on Elementary School- (과학분야 영재학생과 학업우수학생의 자기 효능감 -초등학교 학생을 중심으로-)

  • 강영하;김신호
    • Journal of Gifted/Talented Education
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    • v.13 no.1
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    • pp.1-19
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    • 2003
  • The purpose of this study is to investigate the self-efficacy of gifted students in the area of sciences. For this purpose, The Self-efficacy Beliefs Inventory was administered to 220 5th and 6th gifted students and high achievers. The research findings were as follows; First, there was no statistically significant difference in the general, academic, self regulated learning, and others’ expectation self-efficacy beliefs between gifted students and high achievers as well as among groups of gifted students. Second, the gifted students in mathematics were higher than other groups in the mathematics self-efficacy beliefs. Third, the high achievers were higher than other groups in the language art self-efficacy beliefs. Fourth, the gifted students in mathematics were higher than other groups in mathematics self-efficacy beliefs. Fifth, the gifted students in science were higher than other groups in science self-efficacy beliefs. Sixth, the gifted students in IT were higher than other groups in computer self-efficacy beliefs. Seventh, the gifted students in IT were lower than other groups in social self-efficacy beliefs.

The Effect of the Social Norms of Mathematics Classroom on Mathematical Beliefs (수학 교실의 사회적 규범이 수학적 신념에 미치는 영향)

  • Han, Kyung-Hwa;Kang, Soon-Ja;Jung, In-Chul
    • Journal of the Korean School Mathematics Society
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    • v.8 no.3
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    • pp.343-356
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    • 2005
  • The purpose of this study is to search whether mathematical beliefs have changed when new social norms are formed in math classroom through research using survey papers about mathematical beliefs and math class video photographing. In addition, it would search for social norms of mathematical classroom which affects to students' mathematical beliefs by analyzing culture of mathematical classroom. The result was that the class focusing only general social norms wasn't enough to change students' mathematical beliefs. And as we have examined sociomathematical norms of math classroom through analyzing culture of mathematics classroom, it has affected students' mathematical beliefs.

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Impact of academic achievement and mathematical beliefs through instruction using concepts learning hand-out (개념학습지를 활용한 수업이 학업성취도와 수학적 신념에 미치는 영향)

  • An, Jong Su
    • Journal of the Korean School Mathematics Society
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    • v.16 no.3
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    • pp.519-538
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    • 2013
  • The purpose of this study, for each section of high school mathematics I help to verify the utillization of instructional class in the formation of students' academic achievement and mathematical beliefs. For this purpose we construct an experimental class and then analyse the students' change in those aspects after applying concept learning hand-out and colleage feedback on their works those students are in the experimental class. As a result of the experiment, we find that concept learning hand-out activity and colleague feedback made some significant changes on the students achievement in mathematics and mathematical beliefs. Therefore, in this study I want to solve the concrete problems are as follows. First, utilizing the concepts of mathematics tutoring lessons to improve students' academic achievement is it effective? Second, utilizing the concepts of mathematics tutoring classes does have a positive impact on students' mathematical beliefs? Third, utilizing the concepts of mathematics tutoring lessons for students what is the reaction?

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Analysing High School Students' Mathematical Belief System and Core Belief Factors (고등학생의 수학적 신념체계 및 중심신념요인 분석)

  • Kim, Yun Min;Lee, Chong Hee
    • School Mathematics
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    • v.16 no.1
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    • pp.111-133
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    • 2014
  • This study aims to explore mathematical belief system and core belief factors to be found. The mathematical belief system becomes an auto regulation device for students' using mathematical knowledge in mathematical situations and provides them with the context to perceive and understand mathematics. They have individual mathematical beliefs for each of mathematics subject, mathematical problem solving, mathematical teaching and learning and self-concept, and these beliefs of students construct mathematical belief system according to mutual relationships among the mathematical beliefs. Using correlation analysis and multiple regression, mathematical belief system was structuralized and core belief factors were found. Mathematical belief system is structuralized and, as a result the core belief factors that are psychological centrality of high school students' mathematical belief system are found to be persistence, challenge, confidence and enjoyment. These core belief factors are formed on the basis of personal experiences and they are personal primitive beliefs that cannot be changed with ease and cannot be shared with other people but they are related with many other beliefs influencing them.

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A Study on Mathematics Teachers' Beliefs about Their Use Technology Experiences: Focused Group Interviews (공학 사용의 경험에 근거한 수학교사의 신념 연구 : 포커스그룹 인터뷰)

  • Lee, Eun Suk;Cho, Cheong-Soo
    • The Mathematical Education
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    • v.54 no.2
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    • pp.99-117
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    • 2015
  • The purpose of this study was qualitatively conducted for getting the answer of this problem by searching the beliefs of mathematics teachers with experience in technology and the factors that influences these beliefs. The participants in this study consist of eight teachers and one university professor having technological experiences from three years to ten years with a higher degree than M.A. The data was collected through focused group interviews for twice and individual interview as well. Data analysis was completed through several readings of transcripts and then main themes were derived by classifying, comparing, and contrasting codings. The result of this study showed that teachers with the experiences of technological tools have the concrete belief that technology helps both students and teachers understand mathematical concepts and enhance various representational activities and motivations. The result also identified the impeding factors of three beliefs of mathematics teachers. From these beliefs and factors, this study would suggest how to help teachers hold their beliefs about using technologies to improve their teachings and students' learning.

Effectiveness of math-social science conjoined program on students' attitudes toward in mathematics (고등학교 사회 수학 융합 프로그램이 수학 교과 태도에 미치는 효과성 분석)

  • Kim, Hyung Won;Ko, Ho Kyoun
    • Journal of the Korean School Mathematics Society
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    • v.20 no.3
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    • pp.239-254
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    • 2017
  • The study in this paper considers how high school students' attitudes toward and interest in mathematics could be promoted by conjoining the learning of ma thematics with the learning of social science topics. Survey instrument was dev eloped to measure student attitudes toward mathematics and social science subje cts and to evaluate student beliefs on learning mathematics embedded in social science topics. Data were collected from high school students in Korea by admi nistering pre- and post-tests: students were intervened with examples of math problems embedded in certain social contexts. The findings indicate that high sc hool students' experience of solving mathematics problems embedded in social c ontexts positively affects the promotion of their attitudes toward and beliefs on both mathematics and social science subjects.

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Analysis of Belief Types in Mathematics Teachers and their Students by Latent Class Analysis (잠재집단분석(LCA)에 의한 수학교사와 학생들의 신념유형 분석)

  • Kang, Sung Kwon;Hong, Jin-Kon
    • Communications of Mathematical Education
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    • v.34 no.1
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    • pp.17-39
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    • 2020
  • The purpose of this study is to analyze the mathematical beliefs of students and teachers by Latent Class Analysis(LCA). This study surveyed 60 teachers about beliefs of 'nature of mathematics', 'mathematic teaching', 'mathematical ability' and also asked 1850 students about beliefs of 'school mathematics', 'mathematic problem solving', 'mathematic learning' and 'mathematical self-concept'. Also, this study classified each student and teacher into a class that are in a similar response, analyzed the belief systems and built a profile of the classes. As a result, teachers were classified into three types of belief classes about 'nature of mathematics' and two types of belief classes about 'teaching mathematics' and 'mathematical ability' respectively. Also, students were classfied into three types of belief classes about 'self concept' and two types of classes about 'School Mathematics', 'Mathematics Problem Solving' and 'Mathematics Learning' respectively. This study classified the mathematics belief systems in which students were categorized into 9 categories and teachers into 7 categories by LCA. The belief categories analyzed through these inductive observations were found to have statistical validity. The latent class analysis(LCA) used in this study is a new way of inductively categorizing the mathematical beliefs of teachers and students. The belief analysis method(LCA) used in this study may be the basis for statistically analyzing the relationship between teachers' and students' beliefs.

The Moderated Effects of Mathematics Test-preparation Strategies in the Relation between Elementary School Students' Epistemological Beliefs about Mathematics and Test Anxiety (초등학생의 수학 인식론적 신념과 시험불안의 관계에서 수학 시험준비전략의 조절효과 분석)

  • Yoo, Hyunseok;Yum, Sichang
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.4
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    • pp.365-382
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    • 2019
  • This study aimed to analyze the moderated effects of mathematics test-preparation strategies in the relation between elementary school students' epistemological beliefs about mathematics and test anxiety. The moderated effects were tested by using structural equation modeling with the Ping's two-step approach. The subjects were 810 6th graders (411 male, 399 female) from 13 elementary schools situated in G Metropolitan City. Tests for epistemological beliefs about mathematics, test anxiety, and mathematics test-preparation strategies were used as measurement scales. The results of this study were as follows. The moderated effects of mathematics test-preparation strategies in the relation between epistemological beliefs about mathematics and test anxiety were statistically significant. Higher level of epistemological belief about mathematics were linked to lower level of test anxiety, while lower level of epistemological belief about mathematics led to an increased influence of test-preparation strategies levels on test anxiety. Students who had higher levels of epistemological belief about mathematics displayed lower level of test anxiety when using high levels of test-preparation strategies. Students who scored lower in the epistemological belief about mathematics had lower level of test anxiety when employing low levels of test-preparation strategies. Therefore, to lower the level of test anxiety among elementary students, the intervention program need to consider the appropriate levels of test-preparation strategies in accordance with each student's level of epistemological belief about mathematics.

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