• 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.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.633-658
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• 2010

This study aimed to analyze the debate on the Elementary School Mathematics Contents in the new National Elementary Mathematics Curriculum developed in 2006. With this, the feature of the new National Mathematics Curriculum compared with the past 7th National Elementary Mathematics Curriculum was investigated. And the drafts on developing the new National Elementary Mathematics Curriculum were investigated as well. Three main controversies were identified. The first controversy was related to the item which had been dealt in middle school curriculum and moved to elementary school in the new National Mathematics Curriculum (e.g. equations, direct proportion and inverse proportion). The second one was related to the order of teaching fraction. The third one was related to the fact that problem solving became one of the five domains in Elementary School Mathematics Curriculum. Those controversies came from a basic belief on the ranges and depths of elementary school mathematics, didactical point of view, or thoughts on what should the content in the National Mathematics Curriculum be. The issues and suggestions that were discussed in this paper might serve to improve the National Mathematics Curriculum.

• School Mathematics
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• v.6 no.4
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• pp.313-324
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• 2004

One of the major roots of the value and power of mathematical knowledge is the belief on ‘the Pythagorian-Platonic divine mathematicity of the universe’ and the ‘pre-established harmony between mathematics and physics’. This kind of the nature of mathematical knowledge demands strongly the school mathematics to become a subject for humanity education going beyond the practical usefulness. Here, investigating the roots of the thought of mathematical education, we tried to clarify that the traditional educational ideal which has maintained the theoretical knowledge-centered mathematical education is the education of humanity, and investigate the way today's mathematical pedagogy should first turn to if it should realize this ideal.

• 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.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.

• Korean Journal of Child Studies
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• v.30 no.5
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• pp.73-85
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• 2009

The purpose of this research was to compare mathematically gifted students with non-gifted students in perception of learning environments, learning ability beliefs, and preference for problem-solving and task. Thirty-seven mathematically gifted students and 75 general students in middle school completed questionnaires about perceptions about mathematics. Data were analyzed by ${\chi}^2$ test and t-test. Compared with general students, mathematically gifted students estimated their talents for mathematics higher, studied mathematics more, expended more time and effort to solving difficult problems, put learning mathematics itself as their primary purpose for studying mathematics and regarded inappropriate environments as the major obstacle to mathematics study. Mathematically gifted students perceived their parents' support higher, solved problem creatively, and had higher preference for challenging tasks.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.747-764
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• 2017

Problems in mathematics textbooks are very important because there is a high reliance on textbooks in elementary school mathematics classes and there is a strong belief that mathematics is to find the solution to problems. Considering this importance, we analyzed problems in elementary mathematics textbooks quantitatively and qualitatively. Concretely, problems of addition and subtraction with carry on in the range of two digit numbers in the mathematics textbooks from the 1st to the 2015 national revised curriculum were analyzed. As a result, the problems in each textbook were found to reveal important features of the textbook reflecting changes in curriculum and educational background. And the problem of textbooks has changed in the direction of enhancing students' reasoning, communication, and problem solving ability. Based on these results, we suggested several implications for dealing with problems in elementary mathematics textbooks.

• 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.

• 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.