• Communications of Mathematical Education
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• v.29 no.3
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• pp.373-389
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• 2015

This study was to investigate the practice of the teachers who changed their teaching subject to Mathematics from other subjects. Teacher, A who had traditional belief and Teacher, B, non-traditional belief were chosen for the study through the questionnaire in Sep. 2014. The result indicated that Teacher, A in traditional belief showed teacher-centered teaching but Teacher, B in nontraditional belief showed inconsistent way of teaching in comparison to the original perspective. The later said she could not teach students as she wanted to teach because of the lack of knowledge of teaching as a math teacher. The difficulties Teacher, A encountered were: to handle too many works beyond teaching and to teach too many contents to cover without having enough time to prepare. Teacher, B didn't know how to teach students math in a constructivism way. They asked to offer them more in-service training program to develop their expertise for teaching mathematics.

• Research in Mathematical Education
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• v.8 no.3
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• pp.115-121
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• 2004

This article describes the first results gained from a problem solving test that was administered to grade 4 students in the Netherlands. The students involved are all high achievers in mathematics. The analysis of the student responses gives cause for concern. The often-heard belief that teachers do not need to worry about the better students is clearly in need of revision. It turned out that when high achievers in mathematics are challenged to take on non-typical problems, their abilities are more limited than expected. The study revealed that the students wrote down hardly anything on their scrap paper to solve certain problems. Also it was found that they were not very persistent in their looking for a solution. In this paper we illustrate these first findings by discussing the results of one of the test problems.

• Education of Primary School Mathematics
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• v.20 no.4
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• pp.287-303
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• 2017

In order to understand the characteristics of affect of elementary school students in this study, we used a questionnaire developed by Hannula (2012) to measure elementary students' beliefs and affective factors about mathematics based on the emotional, cognitive, and motivational dimensions of the affect of personal level. Statistical analysis and one-way ANOVA were conducted to identify the characteristics of elementary school students' beliefs and affective factors about mathematics according to mathematics achievement level, grade level, and gender. Regression analysis was performed to analyze the correlation between the factors. The results of this study are compared with the results of the previous study which used comparative study of elementary school students in Finland and Chile using the questionnaire used in this study.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.487-521
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• 2010

The purpose of this study was to investigate and analyze the effect of mathematics teaching experience during the teaching practicum on pre-service elementary teachers' beliefs about mathematics. The conclusions drawn from the entire research were, as follow: First, it can be said that mathematics teaching experience during the teaching practicum has a significant effect on the change of pre-service elementary teachers' beliefs about mathematics. Specifically, the teaching experience during the teaching practicum has statistically significantly negative effects(p=.05) on pre-service elementary teachers' beliefs about the teaching mathematics. Second, the factors which help pre-service elementary teachers the most in preparing for mathematics classes are collaborating teachers in charge of supervising them, the teacher's guidebook and materials acquired from the Internet. Third, pre-service elementary teachers are well aware of the importance of understanding students and emphasize concrete manipulative activities, but experience lots of failures due to difficulty of drawing students' attention. Fourth, collaborating teachers do not play a significant role in helping pre-service elementary teachers develop and change their beliefs about mathematics positively. The advise given by collaborating teachers to pre-service elementary teachers is mostly about simple techniques of managing the classroom. So, collaborating teachers do not affect significantly and positively on the change of pre-service elementary teachers' beliefs. Fifth, regardless of their belief tendency, pre-service elementary teachers teach more confidently and feel more satisfactory when they prepared for classes more thoughtfully and understanded students more deeply.

• Education of Primary School Mathematics
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• v.5 no.2
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• pp.71-94
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• 2001

The purposes of this study were to design small group collaborative learning models for developing the creativity and to analyze the effects on applying the models in mathematics teaching and loaming. The meaning of open education in mathematics learning, the relation of creativity and inquiry learning, the relation of small group collaborative learning and creativity, and the relation of assessment and creativity were reviewed. And to investigate the relation small group collaborative learning and creativity, we developed three types of small group collaborative learning model- inquiry model, situation model, tradition model, and then conducted in elementary school and middle school. As a conclusion, this study suggested; (1) Small group collaborative learning can be conducted when the teacher understands the small group collaborative learning practice in the mathematics classroom and have desirable belief about mathematics instruction. (2) Students' mathematical anxiety can be reduced and students' involvement in mathematics learning can be facilitated, when mathematical tasks are provided through inquiry model and situation model. (3) Students' mathematical creativity can be enhanced when the teacher make classroom culture that students' thinking is valued and teacher's authority is reduced. (4) To develop students' mathematical creativity, the interaction between students in small group should be encouraged, and assessment of creativity development should be conduced systematically and continuously.

• Human Ecology Research
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• v.58 no.1
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• pp.105-120
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• 2020

This study helps infant teachers practice a constructivism-based teacher education program that supports infant mathematical inquiry activities and examines improvements in mathematical teaching knowledge, mathematical teaching initiatives, mathematical interaction, constructivism belief and mathematical teaching efficacy. Twenty two experiment group infant teachers and twenty two comparison group infant teachers were chosen at two workforce educare centers. The experiment group infant teachers participated in 18 sessions of a constructivism teacher training program for 8 weeks, but the comparison group infant teachers did not take part in the program. Pretest and post-tests were implemented for the mathematical teaching knowledge, mathematical teaching initiatives, mathematical interactions, constructivism belief and mathematical teaching efficacy in the experiment group. Independent sample t-test and ANCOVA were tested using Windows SPSS statistics 21.0. The homogeneity test for the experiment and comparison group revealed significant differences. ANCOVA was carried out after the pretest score was controlled as a co-variance. Significant differences were indicated in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. The results indicated that a constructivism-based teacher education program to support infant mathematical inquiry activities influenced improvements in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. This study proved the effects of the program based on constructivism theory content for the knowledge, skills and attitude about infant teaching of mathematical initiatives and practiced a program of exploration, investigation, application and assessment for infant teachers. The results can help infant teachers teach mathematical exploration activities and help activate infant mathematical exploration activities.

• Journal of the Korean School Mathematics Society
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• v.19 no.3
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• pp.261-275
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• 2016

Many students have dualistic beliefs about mathematics and its learning- for example, there is always just one right answer in mathematics and their role in the classroom is receiving and absorbing knowledge from teacher and textbook. This article investigated some epistemic implications and limitations of common mathematics teaching practices, which often present mathematical facts(or procedures) and treat students' errors in a certain and absolute way. Langer and Piper's (1987) experiment and Oliveira et al.'s (2012) study suggested that presenting knowledge in conditional language which allows uncertainty can foster students' productive epistemological beliefs. Changing the focus and patterns of classroom communication about students' errors could help students to overcome their dualistic beliefs. This discussion will contribute to analyze the implicit epistemic messages conveyed by mathematics instructions and to investigate teaching strategies for stimulating students' epistemic development in mathematics.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.549-569
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• 2015

Reflecting on own beliefs about teaching and learning, developed during "the apprenticeship of observation", is a central task for pre-service years. This case study analysed a lesson observation course which could identify, challenge pre-service teachers' folk pedagogy about classroom communications and induce to change of beliefs about teaching and learning. Our analysis shows that targeting and refuting pre-service teachers' specific belief may be an effective strategy for teacher educators to foster new teaching practice.

• Education of Primary School Mathematics
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• v.3 no.1
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• pp.79-88
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• 1999

This paper shows how the social tradition and belief of korea on education affects teachers and students and learning. 1 Interview with teacher. During surveying this teacher's class, we knowed that the teacher have accentuated algorism loaming and preparation fur external examination in math class. Teacher's beliefs about mathematics have a strong effect on the method of class and the performance of problem solving 2. Interview with students and short test. 1) Students usually had fine ability of calculation for number. But Many pupils didn't know the meaning of the operations. 2) The most of pupils are good at routine math problem solving but when the question whose the condition don't meet was given, they experienced difficulties.3.Korean sociocultural specialty on education: The korean place high emphasis on education and think of education as the means of success. This emphasis can be traced to the Confucian view. 1) tradition on examination culture. 2) the traditional convention of the learning method. Korean sociocultural specialty on education play role of strengthen role learning and algorism class. The important things to education reformation are getting a balance between practice and understanding. we should make changes not only in national dimension but also in math class.