• Korean Journal of Childcare and Education
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• v.14 no.1
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• pp.269-286
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• 2018

Objective: The purpose of this study was to clarify the influences of constructivist educational beliefs and eco-friendly teaching attitudes on early childhood teachers' mathematics teaching efficacy. This study also examined the mediating effect of eco-friendly attitudes on the relationship between the other two variables. Methods: A total of 399 teachers teaching 3,4 and 5-year-olds in Seoul, Gyeonggi and Incheon participated in this study. The data were analyzed using the SPSS Win 21.0 program and the Sobel test. Results: First, mathematical teaching efficacy of early childhood teachers was significantly correlated with constructivist educational beliefs and eco-friendly teaching attitudes. Second, with teacher's career as the control variable, constructivist educational beliefs have more influence in mathematical teaching efficacy than the other variable. Third, eco-friendly teaching attitude partially mediated between the other two variables. Conclusion/Implications: The results of this study imply that constructivist educational beliefs and eco-friendly teaching attitudes are important factors on mathematics teaching efficacy. It is expected that it will be used as basic data for various programs that increase constructivist educational beliefs and eco-friendly teaching attitudes.

• Education of Primary School Mathematics
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• v.4 no.1
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• pp.51-61
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• 2000

Mathematical Problem solving has been the focus of a considerable amount of research over past 30 years. But nowadays problem solving is being beginning to be of less interest to mathematics education researchers. Moreover, mathematics teachers have an urgent need to be provided with well-documented informations about "teaching of(expecially, via) problem solving" though following research issues ：ⅰ) the role of the teacher in a problem-centered classroom, ⅱ) what actually takes place in problem-centered classrooms, and iii) groups and whole classes' problem solving rather than individuals. This paper intends to give some informations about practice of teaching mathematical problem solving in elementary school.ry school.

• School Mathematics
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• v.7 no.4
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• pp.337-352
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• 2005

In this study, we carried out a case study with 38 pre-service mathematics teachers. A theoretical basis of this study is the 'technology principle' by NCTM(2000) and teaching-learning methods by the 7th curriculum. Using mathematics program(Grafeq.), we executed classroom activities for developing materials assisting teaching-teaming for 7th-9th grade mathematics. Pre-service mathematics teachers constructed mathematical designs for each grade by Grafeq. program. We tried to find the results for three research problems. On the basis of observation data, interview data and document materials, we analysed our results as follows. First, our activities help Pre-service mathematics teachers to examine and understand each grade mathematics. Second, we can developamathematicaldesignineachgrade mathematics. Therefore mathematical designs developed in this study can be used middle school mathematics classroom. Third, pre-service mathematics teachers gained the belief that the activities using mathematical in this study can be applied program. effectively to teaching and loaming school mathematics.

• The Mathematical Education
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• v.31 no.2
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• pp.109-119
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• 1992

The primary purpose of the present study is to provide the sources to improve the mathematical problem solving performance by analyzing the effects of the belief systems and the misconceptions of the middle school students in solving the problems. To attain the purpose of this study, the reserch is designed to find out the belief systems of the middle school students in solving the mathematical problems, to analyze the effects of the belief systems and the attitude on the process of the problem solving, and to identify the misconceptions which are observed in the problem solving. The sample of 295 students (boys 145, girls 150) was drawn out of 9th grade students from three middle schools selected in the Kangdong district of Seoul. Three kinds of tests were administered in the present study: the tests to investigate (1) the belief systems, (2) the mathematical problem solving performance, and (3) the attitude in solving mathematical problems. The frequencies of each of the test items on belief systems and attitude, and the scores on the problem solving performance test were collected for statistical analyses. The protocals written by all subjects on the paper sheets to investigate the misconceptions were analyzed. The statistical analysis has been tabulated on the scale of 100. On the analysis of written protocals, misconception patterns has been identified. The conclusions drawn from the results obtained in the present study are as follows; First, the belief systems in solving problems is splited almost equally, 52.95% students with the belief vs 47.05% students with lack of the belief in their efforts to tackle the problems. Almost half of them lose their belief in solving the problems as soon as they given. Therefore, it is suggested that they should be motivated with the mathematical problems derived from the daily life which drew their interests, and the individual difference should be taken into account in teaching mathematical problem solving. Second. the students who readily approach the problems are full of confidence. About 56% students of all subjects told that they enjoyed them and studied hard, while about 26% students answered that they studied bard because of the importance of the mathematics. In total, 81.5% students built their confidence by studying hard. Meanwhile, the students who are poor in mathematics are lack of belief. Among are the students accounting for 59.4% who didn't remember how to solve the problems and 21.4% lost their interest in mathematics because of lack of belief. Consequently, the internal factor accounts for 80.8%. Thus, this suggests both of the cognitive and the affective objectives should be emphasized to help them build the belief on mathematical problem solving. Third, the effects of the belief systems in problem solving ability show that the students with high belief demonstrate higher ability despite the lack of the memory of the problem solving than the students who depend upon their memory. This suggests that we develop the mathematical problems which require the diverse problem solving strategies rather than depend upon the simple memory. Fourth, the analysis of the misconceptions shows that the students tend to depend upon the formula or technical computation rather than to approach the problems with efforts to fully understand them This tendency was generally observed in the processes of the problem solving. In conclusion, the students should be taught to clearly understand the mathematical concepts and the problems requiring the diverse strategies should be developed to improve the mathematical abilities.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.625-647
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• 2015

How a pre-service teacher understands and comments on mathematics instruction can serve as the foundation of her teaching expertise. Given that prospective teachers observe demonstrative mathematics teaching implemented by an in-service teacher and make a comment on it during their practicum period, this paper specified the levels of their ability in commenting on mathematics instruction and explored the characteristics of such levels. It is significant that this paper provides a systematic and comprehensive analysis of such levels in terms of topic, agent, stance, evidence, and alternative perspective. The results of this study showed that the commenting levels may be classified by Level 1 (fragmentary), Level 2 (inspective), and Level 3 (analytical), and that the most frequent level of this study was at Level 2. Multiple regression analysis demonstrated that stance is the most influential in determining the levels of comments among their analytic components. An analysis of the participants' anecdotes showed that the experience of observing demonstrative teaching during the practicum may have impact on the belief of mathematics instruction and self-image as a teacher. Building on these results, this paper provides implications of teacher preparation programs to enhance prospective teachers' ability to analyze elementary mathematics lessons.

• 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.

• 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.

• Research in Mathematical Education
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• v.17 no.3
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• pp.153-167
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• 2013

Mathematics has been stereotyped as a male-dominated subject, and there is considerable evidence to support this belief. There has been much research in the past three decades on gender-related differences in elementrny and secondrny school mathematics. The research found that teachers possess different beliefs about male and female students that influence their teaching behaviour, which then directly or indirectly impact their students' behaviours, beliefs, and achievements in mathematics. Based on data collected from teacher questionnaire surveys in the Chinese Mainland and Hong Kong, this study examines teachers' beliefs about the achievements of boys and girls in mathematics. The study also compares the findings in the two regions surveyed. Results showed that teachers gave more attention to boys than girls, regardless of the teacher's gender. Not only are teachers more likely to recall more boys than girls, but also more boys than girls with average academic standards.

• 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.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.553-565
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• 2013

The purpose of this study was to examine how the Lakatos method works in the elementary teacher education program. Elementary preservice teachers were given a task in which they examined the Pick's theorem. The finding revealed that Lakatos method was usable in the elementary teacher education. They produced initial conjecture and found counterexamples, and finally made improved conjectures. These experience encourage them to change their belief of teaching and learning mathematics and to find alternative ways of teaching mathematics.