• Research in Mathematical Education
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• v.12 no.3
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• pp.167-177
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• 2008

The students' beliefs about mathematics teaching-learning come from the social activities in mathematics classrooms; and the mathematics classroom culture to a large extent decides the social activities in mathematics classrooms. So, the students' beliefs about mathematics teaching-learning are decided indirectly by the mathematics classroom culture mainly. The students' beliefs about mathematics teaching-learning react to the social activities in mathematics classrooms, and the social activities in mathematics classrooms react to the mathematics classroom culture. Therefore, the students' beliefs about mathematics teaching-learning react indirectly to the mathematics classroom culture. So, the relationships between the students' beliefs about mathematics teaching-learning and the mathematics classroom culture are dialectic, and the social activities in mathematics classrooms are the medium. In addition, the relationships have some inspirations to the current mathematics curriculum reform in the mainland China.

• Research in Mathematical Education
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• v.12 no.3
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• pp.235-249
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• 2008

The paper used the quantitative method to compare Chinese students' and teachers' mathematics related beliefs, including beliefs about mathematics, mathematics teaching and learning. The result indicated that there are some differences between their beliefs. Based on the results, we give some recommendations.

• Research in Mathematical Education
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• v.11 no.4
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• pp.221-234
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• 2007

A comparison of mathematics teachers' personal beliefs between in- and pre-service teachers for Chinese secondary schools (grades 7-12) about mathematics theories, teaching and learning has been studied. In-service teachers' beliefs are close to constructivist's aspect and pre-service teachers' beliefs are close to absolutist's views. Based on the results, we give some suggestions to both teacher education and in-service teachers' training.

• School Mathematics
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• v.11 no.3
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• pp.335-349
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• 2009

The purpose of this study is to explore how a mathematics teacher's beliefs about mathematics and teaching and learning and mathematics and how such beliefs are related to her knowledge manifested in her mathematics instruction. The study illustrates images of teaching practice of an American mathematics teacher in middle grades mathematics classrooms. Results suggest that the teacher seems consistent in teaching in terms of her beliefs about mathematics and learning and teaching mathematics in some degrees. In particular, the teacher's beliefs affected the ways in which mathematics teacher organized and structured her lessons.

• Korean Journal of Childcare and Education
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• v.13 no.1
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• pp.185-200
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• 2017

Objective: This study was conducted to investigate the effects of early childhood teachers' teaching beliefs, mathematics teaching efficacy, and pedagogical content knowledge of mathematics on their teaching intention of mathematics. Methods: A total of 266 early child teachers in Busan participated in this study. They completed a set of question naires which consisted of questions about teaching beliefs, mathematics teaching efficacy, pedagogical content knowledge of mathematics, and the teaching intention of mathematics. The collected data were analyzed using the SPSS program. Results: First, we observed several positive correlations among the four variables. Second, we found that early childhood teachers' constructive teaching beliefs, mathematics teaching efficacy, and pedagogical content knowledge of mathematics had effects on their teaching intention of mathematics. The knowledge about teaching-learning methods for mathematics among the subcategories of pedagogical content knowledge of mathematics was observed as the strongest predictor for the teachers' teaching intention. Conclusion: We need to take more interest in the pedagogical knowledge about teaching-learning methods of mathematics in teacher training courses in order to enhance teachers' teaching intention of mathematics. As a result, this will makea contribution to high quality math education for young children.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.3
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• pp.259-277
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• 2020

The purpose of this study was to develop and validate a scale of Korean elementary teachers' mathematics beliefs. We examined 299 elementary teachers' mathematical beliefs using 30 items, out of which 12 items covered beliefs about the nature of mathematics and 18 items covered beliefs about mathematics teaching and learning. In the first stage, we performed exploratory factor analysis using 149 survey data to examine the factor structure. In the second stage, we performed confirmatory factor analysis using 150 survey data. Building upon previous studies, we examined the construct validity of three different models to find the best factor structure. The study results indicate that the four-factor model with 14 items provides the best fit for the data: transmissive view of mathematics, constructivist view of mathematics, transmissive view of teaching and learning, and constructivist view of teaching and learning. The findings of the study reveal that each factor has adequate internal consistency and reliability. These results confirm that the beliefs scale is a reliable and valid measurement tool to measure Korean elementary teachers' mathematical beliefs. The implications of the study are discussed.

• Research in Mathematical Education
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• v.26 no.4
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• pp.333-349
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• 2023

Recently, AI has become a crucial tool in mathematics education due to advances in machine learning and deep learning. Considering the importance of AI, examining teachers' beliefs about AI in mathematics education (AIME) is crucial, as these beliefs affect their instruction and student learning experiences. The present study developed a scale to measure preservice teachers' (PST) beliefs about AIME through factor analysis and rigorous reliability and validity analyses. The study analyzed 202 PST's data and developed a scale comprising three factors and 11 items. The first factor gauges PSTs' beliefs regarding their roles in using AI for mathematics education (4 items), the second factor assesses PSTs' beliefs about using AI for mathematics teaching (3 items), and the third factor explores PSTs' beliefs about AI for mathematics learning (4 items). Moreover, the outcomes of confirmatory factor analysis affirm that the three-factor model outperforms other models (a one-factor or a two-factor model). These findings are in line with previous scales examining mathematics teacher beliefs, reinforcing the notion that such beliefs are multifaceted and developed through diverse experiences. Descriptive analysis reveals that overall PSTs exhibit positive beliefs about AIME. However, they show relatively lower levels of beliefs about their roles in using AI for mathematics education. Practical and theoretical implications are discussed.

• 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.

• 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.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.537-560
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• 2017

This study aims to investigate secondary mathematics teachers' beliefs about graphing calculator use in mathematics classrooms. For the purpose, we adopted a research instrument that was developed by Brown et. al(2007) and surveyed 32 mathematics teachers about their beliefs about graphing calculator use and teaching practice with calculators in their mathematics instruction. The data analysis suggested that the teachers rarely used calculators in their instruction and they have not had opportunities to use calculators in learning and teaching mathematics. Also, results suggested that the many teachers showed "Crutch beliefs"about the use of calculators in mathematics instruction.