• Education of Primary School Mathematics
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• v.21 no.1
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• pp.1-17
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• 2018

Recently, various attempts have been made to change traditional lecture classes such as flipped learning and blended learning, and their effectiveness has been verified in various fields. On the other hand, the 2015 revised curriculum enables students to participate in self-directed learning by encouraging student participation. Teachers should also try to change the teaching method, and to improve the teaching methods by confirming the advantages and disadvantages of such new teaching methods in accordance with the demands of the times. The purpose of this study is to analyze the case of applying Blended learning class to teach mathematics education for elementary education 1 class which is one of the required subject in university of education.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.1
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• pp.1-24
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• 2018

This study included eleven elementary pre-service teachers who participated in the first and second teaching practices held by J Education College in 2015. After the pre-service teachers were encouraged to self-reflect on their mathematics teaching using a reflective survey sheet of mathematics teaching expertise, their uses of mathematics teaching expertise were analyzed according to the times of their mathematics practice instructions. The results are as follows: First, as the frequency of their mathematics teaching increased, the pre-service teachers' uses of mathematics teaching expertise increased, especially greatly with seven of them. However, the number of subcategories where the teachers' uses of mathematics teaching expertise increased was different from at least two to seven depending on the teachers. Second, the pre-service teachers who performed mathematics teaching practices four times used more of mathematics teaching expertise than those who did two times or three times. Third, some pre-service teachers who taught two or three times never reached 90% of the total score of any subcategory, even in the subcategory where they showed increase in their uses of mathematics teaching expertise. Fourth, the subcategory of 'reflection before class - teaching perspective - understanding of mathematics subject knowledge' was analyzed as the most difficult one for the study participants, and the reason is, they think, that there are not enough materials on the historical back grounds of mathematical concepts.

• East Asian mathematical journal
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• v.36 no.4
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• pp.475-492
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• 2020

This study is to establish the items on class critiques based on the mathematical competencies according to the mathematics curriculum revised in 2015. Namely, this study deals with the items on how pre-service or in-service teachers understand and comment on mathematics instruction on their own instruction or peers' instruction. To accomplish this, first of all the draft items on instructional reviews was developed by researchers of this study on the basis of the previous study(Hwang, 2018). In order to revise and develop the draft items, the experimental study was executed. The experimental study was done by the subject of 11 groups who are undergraduate students in the educational college of C University. The subject was supposed to watch an in-service middle school mathematics teacher's excellent instruction(study) video and to comment the instruction video on the draft items on class critiques. While analyzing the comments of the subject, the revised items on the class critiques were to be develop. Based on this study, from now on, the final and ideal items on the class critiques would be establish to reflect and comment teachers' instruction.

• Journal of the Korean School Mathematics Society
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• v.22 no.4
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• pp.461-482
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• 2019

The purpose of this study was to analyze the elementary pre-service teachers' perspectives on the use of the elementary mathematics textbooks by observing mathematics classes at the schools and to present suggestions on the use of textbooks in the mathematics classes. For this study, let 54 pre-service elementary school teachers observe a total of 54 classes (1,299 students) in the first through sixth grades at 15 areas in Seoul city. With the observations of the mathematics classes, the researcher analyzed the pre-service elementary teachers' perspectives on the use of resources including mathematics textbooks in the elementary mathematics classes. As a result of the study, the pre-service teachers recognized that mathematics textbooks are the main material for mathematics classes, but they think that they need to reconstruct the contents of the textbooks for effective teaching and learning mathematics. In addition, various additional materials need to be used in order to help students learn mathematics more effectively, including by differentiated materials. Also, instruments used in the classes were mainly consisted of TV and PPT data. Pre-service teachers were not much satisfied with the contents of the elementary mathematics textbooks. However, they did not feel the need for development of digital textbooks. The researcher suggested a long term research on how to use study materials such as textbooks within the overall mechanism of teaching and learning processes. Also, practical teacher education programs that include applications of textbooks at schools are necessary in order to improve the quality of mathematics teaching and learning.

• Communications of Mathematical Education
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• v.31 no.3
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• pp.279-290
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• 2017

This study proposes a self learning material for understanding the key contents of Galois theory. This material is for teachers who have learned algebraic structures like group, field, and vector space which are related with Galois theory but do not clearly understand how algebraic structures are related with the solvability of polynomials and school mathematics. This material is likely to help them to overcome such difficulties. Even though proposed material is used mainly for self learning, the teachers may be helped once or twice by some professionals. In this article, two expressions 'solvability of polynomial' and 'solvability of equation' have the same meaning and 'teacher' means in-service mathematics teacher.

• School Mathematics
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• v.11 no.2
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• pp.207-225
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• 2009

Well posed problems for mathematically gifted students provide an effective method to design 'problem solving-centered' classroom activities. In this study, we analyze mathematical problems posed by teachers in distance learning as a part of an advanced training which is an enrichment in-service program for gifted education. The patterns of the teacher-posed problems are classified into three types such as 'familiar,' 'unfamiliar,' and 'fallacious' problems. Based on the analysis on the teacher-posed problems, we then suggest a practical plan for teachers' problem posing practices in distance learning.

• Journal of the Korean School Mathematics Society
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• v.3 no.2
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• pp.195-215
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• 2000

Illinois issues the following standard teaching certificates : Early Childhood (birth-grade 3), Elementary (grades K-9), High School (grades 6-12) Special (grade K-12), School Service Personnel, and Administrative. Any of the preceding certificates can be issued on a provisional (maximum of two fiscal years) basis to qualifying individuals. Other certificates issued are : Substitute, Provisional Vocational, Temporary Provisional Vocational, Part-Time Provisional, and General. To obtain an Early Childhood, Elementary, High School, or Special certificate in Illinois, you must either complete an approved teacher education program or be an experienced, licensed teacher seeking a subsequent certificate through transcript evaluation. You must meet all other requirements for the particular certificate you are seeking, For school Service Personnel and Administrative certificates you must have completed a state approved program before you may apply. The Standard Elementary Certificate, High School Certificate, and Special Certificate are valid for four years for teaching. These certificates may be issued to graduates with a bachelor's degree from a recognized college who have successfully completed the required certification examinations and who present certified evidence of having earned credits. All individuals receiving certificates must be of good character and in good health, and be at least 19 years of age and a citizen of the United States or legally present and authorized for employment.

• Journal of the Korean School Mathematics Society
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• v.16 no.1
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• pp.157-185
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• 2013

This study was to investigate novice teachers' Specialized Content Knowledge for Teaching in High School Calculus Lessons. The lessons of two novice teachers in Kyunggi Do were observed from July, 2011 to Feb. 2012. All observed lessons were audeotaped and transcribed into word files. Their calculus lessons were analyzed into three kinds of knowledge consisting of SCKT. Their SCKT just copied the contents of the textbook and other additional SCKT were not found for teaching. Even though students asked a question that they did not understand, the teacher just repeated the previous contents that already he used. But this study included possible contents of SCKT within the areas these teachers covered so that teachers in school may use for teaching of Calculus. The novice teacher do not have sufficient experience, the program of the college of education and the contents of the teacher certificate-examination should include multi-dimensional approaches in SCKT to pre-service teachers in order to raise better specialized teachers in mathematics.

• School Mathematics
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• v.2 no.2
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• pp.509-543
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• 2000

The purpose of this paper is to study the present situation of the performance assessment having been introduced for recent years as a new system to measure students' mathematical power as well as their achievement in mathematics by analyzing math teachers' recognition about the assessment. The specific research questions are as follows: (1) what is the difficulty in the administrative process of the assessment\ulcorner (2) what is mathematics teachers' recognition about the assessment with respect to its nature and purpose\ulcorner (3) what is the situation of the in-service program for the newly introduced assessment\ulcorner (4) what is the administrative procedure of the assessement\ulcorner (5) what is mathematics teachers' recognition about the effectiveness of the assessemtn\ulcorner (6) What support is requried to improve the assessemt?