• The Mathematical Education
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• v.52 no.3
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• pp.319-334
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• 2013

This study is a literature research on critical mathematics education. In this study, we analyzed the literature about critical theory and critical education, especially focused on Freire's educational works. And also, we reviewed studies and lesson examples about critical mathematics education. The purpose of this research is to improve understanding about critical mathematics education. We found the connection between the goals, teaching methods and contents of critical mathematics education and Freire's theory of critical pedagogy. Critical mathematics lessons stimulated student's sense of social agency and induced student's inquiry. Critical mathematics education has a merit on aspect of mathematical connection and communication by adopting social issues and student's discussion in mathematics lessons. Although there are many obstacles to overcome, critical mathematics education is one of the educational direction to seek.

• Education of Primary School Mathematics
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• v.20 no.4
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• pp.267-286
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• 2017

This study analyzed the processes of lesson plan, implementation, and reflection by a professional learning community with five teachers who were teaching second grade students in the same elementary school. The results of the study showed that the learning community helped the teachers prepare for a lesson effectively, enhance their teaching practices, and reflect on their teaching methods. However, the teachers had difficulties in re-designing and implementing the collaborative lesson plan in their classrooms and had a tendency to talk about their feelings about lessons rather than meaningful comments for subsequent lessons. The successes and difficulties revealed through this study are expected to provide us with directions of learning communities for improving teachers' professional development.

• Education of Primary School Mathematics
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• v.17 no.3
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• pp.189-203
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• 2014

The purpose of this study was to analyze the strengths and weaknesses resulting from a study of elementary mathematics lessons among in-service teachers and to discuss implications for the direction of improvement of the study on elementary mathematics lessons based on teacher learning community. The results of this study showed that the study on elementary mathematics lessons based on teacher learning community improved teacher knowledge related to teaching mathematics, enhanced teacher's accomplishment and self-esteem, made it possible for participant teachers to teach one another, created atmosphere in which teachers investigated instruction via sustainable and systematic lesson study. However, some limitations were noticed such as regulations by the social norms of the teacher learning community, the influence of an expert teacher, teachers' unprofessional decision making, and lack of systematic evaluation and reflection on lessons. Based on these results, this paper closes with critical implications to enhance teacher learning community.

• Research in Mathematical Education
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• v.23 no.4
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• pp.235-254
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• 2020

Through this study, we aimed to capture the nature of a mathematics method course, called "the Curriculum Development and Teaching Methods in Mathematics Education" which is a pedagogy course for teaching for secondary school mathematics taught at a university located in a south eastern part of South Korea. The research participants include three junior students who took the methods course and a local high school math teacher with two professors. The research has three parts. First, we designed a method course to prepare the junior or senior students for a teaching practicum. The individual students gave a mini lecture about a secondary mathematical topic as a course requirement. Second, the three students watched a classroom video-clip of the high school teacher and analyzed his instruction before the actual classroom visits. Furthermore, by "Let's Learn" program for students, the course was associated with a local community through the students and so that they could visit the teacher's classroom three times to observe his math classroom teaching. The students discussed the difference between their own mini lectures and the actual math classroom teaching to develop an understanding of what it entails to teach an actual math class. Third, the first author supervised the students' activities in the program including their report for it to bring out their findings to the class of the method course. We found out this method course provided the students with the experience of various aspects of actual math lesson as well as learning theories about the pedagogy for teaching for secondary school mathematics. We conclude that this course gives a model for the method course in mathematics education for secondary school mathematics.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.425-437
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• 1998

The difference between "open" mathematics education and education of "open mathematics" arises from the difference of tearcher's understanding on the meaning of "teaching and learning mathematics" in the paper. Discusses the agreements and the worries of the researchers, the teachers, the students in korea, about open educationism, firstly, Three practical cases in mathematics lesson in korea are reviewed and analyzed in the respect of learning principles, secondly. Thirdly, the paper examines how to be modified two main learning principles, individualised learning and self-regulation of learning by teachers in the process of instruction. Finally, open mathematics advocated by Fisher(1984) and closed mathematics are compared especially in the probability unit. It concludes that the open approaches in mathematics lessons in korea need to improve with respect to teacher's attitude for didactic contents or mathematical knowledge. It is argued that teacher's open or flexible understanding of mathematical knowledge is no less important than that of their pupils.ant than that of their pupils.

• Education of Primary School Mathematics
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• v.11 no.2
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• pp.81-94
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• 2008

The 7th national curriculum requires the paradigmatic shift in education from teacher-centered to student-centered instruction. But, teachers beliefs on instruction have not been changed during implementing of the mathematics textbooks based on the curriculum. More exactly speaking, they are changed very slowly. Therefore, some beliefs they should establish in order for them to implement it were discussed: Perspectives of students' intelligent ability, learning goal for the every lesson, the passibility of teaching contents involved in the national curriculum, the size of classroom, and students' achievements.

• School Mathematics
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• v.18 no.2
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• pp.231-256
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• 2016

In this paper I will look into achievement standards which show gender difference. This work is based on the average of percentage of correct answer about items taken in National Assessment of Educational Achievement (2010~2014) at each male and female student of middle school. Achievement standard becomes the basic unit when teachers make study plans as the smallest unit that composes the curriculum. Study plans are expressed concretely according to lesson time numbers, and then lesson time numbers are determined by achievement standards. Therefore, objective informations about gender difference appearing in achievement standards will play an important role in embodiment of programs to obliterate gender difference when teachers make study plans. Also This research is expected to play a role as an indicator in studying on gender difference in mathematics education.

• Research in Mathematical Education
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• v.22 no.1
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• pp.19-33
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• 2019

While the field of mathematics education strives to promote equitable mathematics learning and identifies it as a core instructional practice, less is known about its effective enactment. As teachers' teaching practices are dependent on their views and beliefs, this study investigated 133 elementary pre-service teachers' (PSTs') interpretations of diverse learners' learning experiences and proposed accommodations for them as reflected in their lesson planning process. Findings showed that PSTs came up with some strategies that are often suggested in teacher education literature, such as using multiple modes of representation and various grouping strategies. However, their responses were generic in nature rather than specific to diverse learners. Also, it was noted that many PSTs' interchangeably referred to the English Language Learners (ELLs), struggling learners, and culturally diverse learners, inferring that they thought that culturally diverse students must have been ELLs and that ELLs or culturally diverse students must have been weaker students in math. We found that the PSTs used their own frames while filtering and discarding information about diverse student populations to develop instructional plans, rather than based on the results of assessments of learning. We suggest that it is the critical first step to unwrap PSTs' unproven assumptions to better equip them for working with all of their future students.

• Research in Mathematical Education
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• v.18 no.3
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• pp.209-221
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• 2014

In the last few decades there has been much interest in how mathematics can be effectively taught and learnt. The Third Wave is a unique ongoing international collaborative mathematics education research project, which aims to explore the relevant values of effective school mathematics teaching from both the teacher and student perspectives. As part of this project, this study investigates the related findings from students on the Chinese mainland. Multiple data were collected through classroom observations, focus group interviews, and written, open-ended questions. Twenty-four students from junior and senior secondary schools were invited to write down their views on an effective lesson, a good mathematics teacher, and how to do well in mathematics learning. Results showed that among the eight values determined in the study, the values of involvement, explanation, and examples were embraced by students across all grades. Students preferred teacher-led mathematics teaching. Junior secondary students placed more value on teachers' personalities, whereas senior students placed more value on teachers' teaching manners.

• Journal of Elementary Mathematics Education in Korea
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• v.11 no.2
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• pp.177-197
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• 2007

This study discussed the climbing learning method which studied and practiced by Professor Saito Noboru. This is the learning method which is devised to know not only the relationship of the learning factors but the systemic or structural connection of whole studying contents- affects children's math learning ability through practical class to both the lower and the higher grades. To achieve the purpose of this study, these following issues were set; A. Develop the teaching and learning course of mathematics by applying the climbing learning method. B. Execute the mathematics lesson according to the climbing learning method and analyze the learning achievement. C. Analyze the difference between application of the climbing learning method and that of the learning method by student's level in mathematics. D. Analyze what the climbing learning method gives a shift of the recognition of learning mathematics. In order to accomplish these study issues, we analyzed the text book of math not only for children but also for teachers and developed the teaching and learning course applied the climbing learning method with advice of experts. It was chosen two different homogeneous groups each, third year for lower grade group and fifth year for higher grade group. It was done the experimental group lesson applying the climbing learning method and general lesson for the control group. After then, t-test against independent samples was done depending on the result of the student's assessment(T1, T2). These two groups' students were divided into smaller groups based on result of achievement level regardless of gender. These subgroups were confirmed the difference of learning ability between upper and lower level group. As regarding the result making out grades of faith and attitude for math, t-test was used on independent sample. At the same time, experimental groups were tested using learning attitude with the learning structure chart. Through this study the following results are obtained and the conclusion was drawn. Firstly, although applying the climbing learning method to the lesson does not have significant effect to the lower grade of elementary school student's achievement it has significant influence on the higher grade student's achievement. Second, as a result of analyzing the difference between the climbing learning method and the learning method by student's level in mathematics, it is of no beneficial effect to the lower grade both upper level and lower level. However, it has appreciable effect to the higher grade classes both upper level and low level. Especially, upper level students have higher effect than low level students. Third, climbing learning method does not affect to the faith and attitude of the lower grade students positively, but it has affirmative effect to the higher grade students'. As a result of the survey of the experimental groups which were applied to the climbing loaming method, the lesson by using the learning structure chart proved to be helpful to the both the lower and higher grade. The best advantage of using the learning structure chart, children say, is easily understood whole contents of studying and is useful for review. Furthermore, using the learning structure chart is more efficient compared with previous learning method and is given the successful result to self-directed learning. In conclusion, keeping up with the current of the thought of education, we suggest a scheme as a new teaching method from the constructive learning method which emphasize the self-directed learning.