• 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.

• Research in Mathematical Education
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• v.18 no.4
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• pp.257-272
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• 2014

This paper examines and presents descriptions of 12 prospective primary teachers' views on the nature of mathematics in USA. All the participants were elementary teacher candidates enrolled in the same mathematics method courses. Interview data show that the prospective primary teachers possess two kinds of views on the nature of mathematics: primarily traditional and even mix of traditional and nontraditional beliefs in terms of Raymond's (1997) belief criteria. Implications for teacher education were discussed at the end of the paper.

• Education of Primary School Mathematics
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• v.22 no.1
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• pp.49-64
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• 2019

The purpose of the study was to examine the current status of prospective elementary school teachers' mathematical beliefs. 339 future elementary school teachers majoring in mathematics education from 4 universities participated in the study. The questionnaire used in the TEDS-M(Tatto et al., 2008) was translated into Korean for the purpose of the study. The researchers analyzed the pre-service elementary teachers' beliefs about the nature of mathematics and about mathematics learning. Also, the results of the survey was analyzed by various aspects. To determine differences between the groups, one-way analysis of variance was used. To check the relationship between beliefs about the nature of mathematics and about the mathematics learning, correlation analysis was used. The results of the study revealed that the pre-service elementary teachers tends to believe that the nature of mathematics as 'process of inquiry' rather than 'rules and procedures' which is a view that mathematics as ready-made knowledge. In addition, the pre-service elementary teachers tend to consider 'active learning' as desirable aspects in mathematics teaching-learning practice, while 'teacher's direction' was not. We found that there were statistically significant correlation between 'process of inquiry' and 'active learning' and between 'rules and procedures' and 'teacher direction'. On the basis of these results, more extensive and multifaced research on mathematical beliefs should be needed to design curriculum and plan lessons for future teachers.

• Research in Mathematical Education
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• v.15 no.3
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• pp.229-250
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• 2011

The Mathematics Teaching Efficacy Beliefs Instrument is one of the most popular instruments used to measure elementary preservice teachers' efficacy beliefs in mathematics teaching. The instrument was, however, developed in the United States and is perhaps not appropriate for other cultures. In this study, the instrument was translated into Korean and carefully reviewed by Korean mathematics teacher education professors. Analysis of the review indicated that eight out of the 21 items were appropriate while the others needed to be revised. Items were identified as inappropriate due to awkwardness, multiple meanings, tense disagreements, and vagueness. These items were modified to better fit the Korean context. The instrument was revised with two versions: one for elementary and the other for secondary pre service teachers.

• The Mathematical Education
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• v.46 no.3
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• pp.263-272
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• 2007

Mathematics Teaching Efficacy Beliefs Inventory (MTEBI) was translated into Korean and conducted among Korean pre-service mathematics teachers. The Korean-translated MTEBI consists of two subscales with 16 items. Personal Mathematics Teaching Efficacy (PMTE) subscale has 10 items and Mathematics Teaching Outcome Expectancy (MTOE) subscale has 6 items. The purpose of this study is to investigate the internal reliability and the construct validity of the Korean-translated MTEBI. The Cronbach alpha coefficient of Korean-translated MTEBI and its two subscales are respectively .87, .83, and .74 which imply that the instrument is reliable. The construct validity was achieved by performing factor analysis. Principal component solution with varimax rotation for the Korean-translated MTEBI was used in factor analysis and thus the best fit simple structure was obtained by two factors which correspond to the self-efficacy dimension and the outcome expectancy dimension of Bandura's self-efficacy theory.

• School Mathematics
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• v.5 no.4
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• pp.541-553
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• 2003

The purposes of this study are to look into the changing processes of mathematical beliefs and attitudes of the students and to propose the plans how to manage cooperative learning, what can contribute to cognitive affective domains of mathematics learning in applying STAD-based cooperative loaming to mathematics class. So we, the researchers performed cooperative learning in the fifth grade of elementary school and did the exams of mathematical beliefs and attitudes, interviews, supplementary Questions. And students showed meaningful changes in 'the need of cooperative learning', 'critical thinking', 'the acceptance of thoughts of others'. Meanwhile, there were possibilities what all the members of one group can't recognize their errors in STAD, so we proposed 'Tongsinsa'. And we presented concrete methods how to reconstruct groups and somethings to consider when students are not satisfied with the group activities.

• Education of Primary School Mathematics
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• v.4 no.1
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• pp.19-29
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• 2000

This paper is trying to answer the following two questions： "How does it likely to happen that the same content of mathematics is quite differently taught by classroom teachers\ulcorner" and "What would cause these differences in the teaching and learning of mathematics\ulcorner" According to scholars, teachers' beliefs about mathematics and the teaching and learning of mathematics should be first considered when the educational phenomena taking place in classroom are analyzed and interpreted. In this paper, through discussing the directions of reform movements of mathematics education, the definitions and characteristics of teachers' beliefs, and reviewing the previous research on teachers' beliefs, suggestions for the research on mathematics teachers' beliefs are presented.liefs are presented.

• School Mathematics
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• v.12 no.2
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• pp.97-111
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• 2010

The purpose of this study is to examine a preservice elementary mathematics teacher's beliefs and stated-actions in which she planned and implemented mathematical activities in a field experience within a mathematics methods course. Results show that the preservice teacher seemed to be dealing with conflicts and trying to resolve them in order to make sense to herself. Results also suggest that the preservice teacher's beliefs about how children learn seem to get confirmed through the field experiences so that she was able to articulate, which influence her experience of focusing on an individual child. This, in turn, induces her to elaborate her beliefs. These processes would explain her beliefs and actions as a sensible system.

• Journal of Educational Research in Mathematics
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• v.16 no.3
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• pp.251-272
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• 2006

The purpose of the present study is to explore the process of teacher change as elementary school teachers participated in a community focused on improving mathematics teaching. To do so, a professional community lot improving instructional practice consisted of a group of voluntary elementary school teachers. The professional community provides participating teachers with great opportunities to share their understanding of practical knowledge related to mathematics teaching and learning and change mathematical beliefs as well as to learn pedagogical content knowledge. This study approached to teacher professionality in terms of mathematical beliefs and teaching practice. The change of teaching practice was measured coherently both with a questionnaire and with a mathematics teaching standard developed for this study. The findings of this study point out that techers' beliefs about how students learn mathematics have chantged. This study also indicated that after participating in the professional community focused on improving mathematics teaching, teachers' mathematical teaching is changed toward the more students' oriented way. Especially, it is observed that the meaningful change in participating teachers' teaching practice took place with respect to the role of teachers, students' interaction, mathematical tasks, and problem solving. Finally, this study implies that teachers can have an opportunity to change their beliefs and deepen their professionality about elementary mathematics teaching and learning through participating in the community of practice, through which participating teachers can share their practical knowledge and their understandings about teaching and learning of elementary mathematics.

• Research in Mathematical Education
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• v.20 no.1
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• pp.31-38
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• 2016

WHAT we teach, and HOW students experience it, are the primary factors that shape students' understanding and beliefs of what mathematics is all about. Further, students pick up their sense of mathematics from their experience with it. We have seen the results of the approach to "break the subject into pieces and make students master it bit by bit. As an alternative, we strive to create a teaching environment in which students are DOING mathematics and thereby engender selected aspects of "mathematical culture" in the classroom. The vehicle for doing this is the so-called Japanese Open-ended approach to teaching mathematics. We will discuss three aspects of the open-ended approach - process open, end product open, formulating problems open - and the associated approach to assessing learning.