• Journal for History of Mathematics
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• v.27 no.5
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• pp.365-384
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• 2014

The purpose of this study is to assess the changes that occur to pre-service mathematics teachers by using survey on the self-reflection during their education practices. For four weeks of the education practice period, the changes to pre-service teachers are analyzed from teaching and learning perspectives. The teaching perspective is sub-categorized into lesson contents, teaching methods, and evaluation on teaching, and the learning perspective is sub-categorized into monitoring on learning, support for learning and evaluation on learning. The analysis shows that significant changes occur in teaching contents from the teaching perspective and in all the sub-categories from the learning perspective. Based on the analysis, preservice teachers are suggested to utilize self-reflection programs during their education practices to promote their professionalism in teaching.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.563-585
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• 2020

This study developed teaching-learning materials for mathematics and coding convergence classes using Python, focusing on 'Prime Factorization' of seventh graders. After applying the teaching methods and contents to the students, they analyzed whether the learners achieved their learning goals. The results were used to modify and supplement teaching and learning materials. Affective domain of learners were also analyzed. The results are that the teaching methods and contents of the developed teaching-learning materials were generally appropriate for learners. The learners understood most of the lessons according to the set teaching methods of all classes. And learners have mostly reached their learning goals. In addition, as a result of analyzing the definition characteristics of learners through follow-up interviews, the interest in mathematics and programming has improved. The developed teaching and learning materials of this study are well consisted mostly of the teaching methods and the contents of the classes, and are organized so that learners can reach most of the learning goals. It also brought positive changes to the affective domain of mathematics and coding, demonstrating the potential for useful use in school.

• The Mathematical Education
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• v.42 no.2
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• pp.203-218
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• 2003

The purpose of this study is to see what the essential characteristics are in teaching probability and statistics among various mathematical fields. we also tried to connect the study of probability and statistics education with what is needed for a science be synthetic to have its own identity as a unique research field. Since we searched for the future direction of the pedagogic study in the probability and statistics we first selected papers on probability and statistics published in (Series A), the Journal of Korea Society of Mathematical Education, and establish the following research questions. What kinds of characteristics can be found when papers on probability and statistics published in (Series A) are classified into low categories; contents of probability and statistics education, research method of the mathematics education, methods of teaming and teaching, and finally measurements and evaluation\ulcorner We classified papers into two kinds. One is related to the educational contents, consisting of the methods of learning and teaching, and of the measurement and evaluation. The other is reined to the methods of research, which is not a part of the educational curriculum but is essential for establishing the identity of mathematics education. According to the periods, papers on the curricular contents in 1960s were influenced by the New Mathematics, and papers on the curricular contents in 1980s were influenced by 'back to basic'. In 1990s, papers on methods of learning and teaching, and measurement md evaluation were increasing in number. Besides, (series A) from the Journal of Korea Society of Mathematical Education covers contents, methods of Loaming and teaching, and measurement and evaluation. And when I examined the papers on the contents of textbook of a junior high school related to the probability and statistics education and on methods of learning and teaching, 1 found that those papers occupy 1.84% in . When it comes to the methods of loaming and teaching, most of studies in (series A) are about application of concrete implement like experiment and practical application of computer programs, Through this study, I found that over-all and more active researches on probability and statistics are required and that the studies about methods of loaming and teaching must be made in diverse directions. It is needed that how students recognize probability and statistics, connection, communication and representation in probability and statistics context, too. (series A) does not have papers on methods of study. Mathematics pedagogy is a mixture of various studies - mathematical psychology, mathematical philosophy, the history of mathematics and Mathematics. So If there doesn't exist a proper method of study adequate in the situation for the mathematics education the issue of mathematics pedagogy might be taken its own place by that of other studies'. We must search for the unique method of study fur mathematics education so that mathematics pedagogy has its own identity as a study. The study concerning this aspect is needed.

• The Mathematical Education
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• v.56 no.2
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• pp.213-234
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• 2017

The purpose of this study is to examine the perceptions and needs of the 2015 revised curriculum for elementary school teachers and to draw implications for the application of the 2015 revised mathematics curriculum. For this, the major changes in the 2015 revised mathematics curriculum were examined. Major changes in the 2015 revised mathematics curriculum are as follows: 1) Introduce and emphasize mathematical competencies, 2) Restructure the content system, 3) Reduce mathematics contents to teach, 4) Emphasize the learner's affective domain, 5) Emphasize the use of technology, 6) Improve teaching and learning methods and evaluation methods. Also, a survey was conducted for elementary school teachers to analyze the perceptions and demands of the 2015 Revised Mathematics Curriculum. The contents of the survey are consisted of contents of the teachers' awareness of the main changes of the 2015 Revised Curriculum and their demands to implement the 2015 Revised Curriculum in schools. Finally, conclusions and suggestions were drawn based on the survey results. The conclusions and suggestions are as follows: 1) there is a lack of teachers' awareness of the 2015 Revised Curriculum, 2) Support for mathematics curriculum competencies is needed, 3) A variety of teaching and learning materials are needed for emphasizing the learner's affective domain, using the technology, and improving teaching and learning methods and evaluation methods.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.207-229
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• 2019

In the era of the Fourth Industrial Revolution, various attempts have been made to incorporate ICT technology into mathematics teaching and learning, and the necessity and efficiency of classroom instruction using flipped learning, virtual reality and augmented reality have attracted attention. This leads to an increase in demand for instructional contents and their use in education. Therefore, there is a growing need for the development of instructional contents that can be applied in the field and the study of teaching methods. In this point of view, this research classifies the types of teaching-learning, presents the flipped learning instruction and mathematics contents by teaching-learning types using constructivist mathematics education principles and augmented reality-based mobile applications. These methods and lesson plans can provide a useful framework for teaching-learning in mathematics education.

• The Mathematical Education
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• v.49 no.1
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• pp.15-37
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• 2010

In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

• Journal of the Korean School Mathematics Society
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• v.10 no.1
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• pp.129-148
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• 2007

Recent reform movement in mathematics education has focused not only on the curriculum development but also on teachers' learning or professional development. Whereas various theoretical paradigms call for different programs of professional development for teachers, one of the common emphases is on the pedagogical content knowledge [PCK] which encompasses contents and methods to teach. Against this background, this study developed comprehensive instructional materials for the purpose of fostering PCK in mathematics for elementary school teachers with 17 essential learning themes such as fraction, plane geometry, and area. Each loaming theme was first summarized on the basis of literature reviews and surveys in terms of knowledge in mathematics contents, knowledge in teaching methods, and knowledge in students' mathematical understanding and learning. Each theme was then analyzed in detail on how it was represented in the national curriculum and its concomitant textbooks along with workbooks. Finally, this report included a reconstruction of one unit in textbooks per each learning theme, followed by teaching notes and suggestions from classroom implementation. This was intended for teachers to apply what they might loam from this material to their actual mathematics instruction. Given the page limit, this paper dealt only with the learning theme of ratio.

• The Mathematical Education
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• v.40 no.2
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• pp.195-215
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• 2001

The purpose of this paper is to present a specific set of home teaching methods in hopes to prevent slow learner of the elementary mathematics. This paper deals with the number and operations, one of five topics in the elementary mathematics A survey of two hundred elementary school teachers was made to see the teacher's opinions of the role of home studying and to concretize the contents of the research topics. There were asked which is the most essential contents for the concrete loaming and which is the most difficult monad that might cause slow leaner. And those were found to be; counting, and arithmetic operations(addition and subtraction) of one or two-digit numbers and multiplication and their concepts representations and operations(addition and subtraction) of fractions. The home teaching methods are based on the situated learning about problem solving in real life situations and on the active teaming which induces children's participation in the process of teaching and learning. Those activities in teaching each contents are designed to deal with real objects and situations. Most teaching methods are presented in the order of school curriculum. To teach the concepts of numbers and the place value, useful activities using manipulative materials (Base ten blocks, Unifix, etc.) or real objects are also proposed. Natural number's operations such as addition, subtraction and multiplication are subdivided into small steps depending upon current curriculum, then for understanding of operational meaning and generalization, games and activities related to the calculation of changes are suggested. For fractions, this paper suggest 10 learning steps, say equivalent partition, fractional pattern, fractional size, relationship between the mixed fractions and the improper fraction, identifying fractions on the number line, 1 as a unit, discrete view point of fractions, comparison of fractional sizes, addition and subtraction, quantitative concepts. This research basically centers on the informal activities of kids under the real-life situation because such experiences are believed to be useful to prevent slow learner. All activities and learnings in this paper assume children's active participation and we believe that such active and informal learning would be more effective for learning transfer and generalization.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.745-768
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• 2010

The purpose of this study at gifted students' solving ability of the given study task by using all knowledge and tools which encompass mathematical contents and curriculums, and developing the teaching learning materials of gifted students in accordance with their level which tan enhance their mathematical thinking ability and develop creative idea. With these considerations in mind, this paper sought for the standard and procedures of teaching learning materials development according to the levels for the education of the mathematically gifted students. presented the procedure model of material development, produced teaching learning methods according to levels in the task of figurate number, and developed prototypes and examples of teaching learning materials for the mathematically gifted students. Based on the prototype of teaching learning materials for the gifted students in mathematics in accordance with their level, this research developed the materials for students and materials for teachers, and performed the modification and complement of material through the field application and verification. It confirmed various solving processes and mathematical thinking levels by analyzing the figurate number tasks. This result will contribute to solving the study task by using all knowledge and tools of mathematical contents and curriculums that encompass various mathematically gifted students, and provide the direction of the learning contents and teaching learning materials which can promote the development of mathematically gifted students.

• The Mathematical Education
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• v.38 no.1
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• pp.61-75
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• 1999

This study has its purpose to develop an optimal teaching model in math class leading to an effective device of open education in mathematics being transformed from the current teacher-centered teaching to the individually specified student-centered one on the basis of the definitions and methods of open education learned from sundry literature references. Accordingly, this paper established several patterns of effective open math class for teaching specific math's contents, followed by developing applicable teaching-learning models for class situation rested on each math lesson's features. Unit learning models for open education in mathematics, which were made step by step according to each unit's contents were also presented to be applied to real class situations.