• East Asian mathematical journal
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• v.29 no.4
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• pp.409-423
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• 2013

Herbart's education provides an implication for mathematics education that combine a practical ethics education with mathematics education. Herbart show that an theoretical mathematics education would not exist as a sole. It implies that mathematics education must do activities that take into consideration the humanity in its entirety. The theory of mathematics education based on Herbart's ethics theory of education reveals the entireness of human. There are possible explanations for the ways to increase the value of the mathematics education as an education for whole human. It is that the advantage of learning mathematics is not only that we can solve the problems we face in our lives but also that we can acquire a form of life.

• Journal of the Korea Society of Computer and Information
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• v.25 no.2
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• pp.241-250
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• 2020

In this paper, we propose a direction of teaching method for future generations. In order to suggest such the direction, teaching and learning materials that integrate coding activities and mathematical modeling were developed through top-down and bottom-up processes. Coding and engineering experts and mathematics education experts developed teaching and learning materials through councils (top-down courses) and applied them to 24 high school first graders based on student responses (bottom-up courses). Additionally, the developed curriculum helped students increase interest and motivation and realize conceptual understanding, problem posing, and problem solving in mathematics. On the basis of these results, it provided an idea about how to develop curriculum combining mathematical modeling with coding activities, needed for the fourth industrial revolution.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.863-885
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• 2009

In the era of wireless internet, we are apt to use a mobile phone for learning mathematics, besides the pc computer and the notebook computer. This study was to investigate the effect of M-learning when students were given a wireless mobile phone in terms of their perspectives towards the use of a mobile phone, achievement and attitudes towards mathematics. They were the 3th grader in a high school, who were expected to take Aptitude Test for the entrance of the university level. The most students who took an ubiquitous environment of M-learning showed it as a benefit for learning mathematics and did not spend time at other activities such as listening to music, sending text-message, playing games, etc, but at the M-learning activities. The students who engaged in the M-learning activities were improved a significantly higher score at Aptitude Test than the students who took the make-up courses in the school and also did a significantly higher disposition towards mathematics which was caused by curiosity among 7 components of the mathematical disposition.

• East Asian mathematical journal
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• v.26 no.4
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• pp.509-533
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• 2010

This study will contribute to improve intimacy and interests of students in mathematics and to cultivate their abilities and attitudes to continuously learn through problem posing activities using fairy tales. An experimental study was carried out two classes of the fifth grade (total 60 of students, each group 30 os students) in G elementary school located in Daegu Metropolitan City. This experiment was performed for thirteen weeks. For this study, using two examination devices for measuring mathematical attitude and learning achievement, pre- and post-tests were carried out. As a result, it was found that two groups are identical groups. Problem posing activities with fairy tales had significant effect on mathematical attitudes of children and learning achievement of children.

• Journal of Educational Research in Mathematics
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• v.10 no.2
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• pp.199-214
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• 2000

The constructivism is an important stream of the recent trends of mathematics education. In order for students to construct their knowledge for themselves, above all, it should be a prerequisite that they participate in actively, Using games helps students to participate in learning mathematics actively. I think, up to now, mathematics teachers use games mainly for motivation and it does not connect to true learning mathematics through using games. So, the purposes of this study are developing the mathematical games connecting to mathematical contents closely, designing the teaching models to connect game activities to learning mathematics, and developing several teaching plans using games to mathematics class. In this study, I propose what conditions 'good' game should have, classify games as practice game, concept learning game, and strategy game, and develop 43 games from 1 to 6 grade. And I design the teaching models depending on the game types and develop the teaching plans.

• Education of Primary School Mathematics
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• v.2 no.2
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• pp.85-102
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• 1998

Since textbooks for elementary school mathematics in accordance with the seventh curriculum are 'Class I' textbooks, which are used as one and only one textbooks throughout the country, the following aspects have been considered： In the legal aspect, the contents including the curriculum for mathematics asked of the Writing Committee by the Ministry of Education were reflected; in the aspect of theory of mathematics education, the textbooks are written in a way appropriate to theory of mathematics education; and in the aspect of application of reality, the textbooks are written to help improving mathematics education in classrooms. Therefore, the main frame of writing the textbooks is to make students feel proud enough to say "I have done mathematics", through helping students rationally solve problems surrounding them by themselves with their experiences and activities. In the above viewpoint the following sentence is reflected upon: "Hundred explanations are not equal to one manipulation activity."

• Research in Mathematical Education
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• v.3 no.1
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• pp.1-8
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• 1999

The present study extends previous research in this area by investigating perceptions of change and reactions to reform efforts by pre-service and practicing secondary school mathematics teachers in the People's Republic of China (PRC) and the United States of America. Interviews were used to gather data about school experiences, teaching practices, and planned changes in mathematics programs. Analysis of the interview data supported earlier findings with respect to the well-planned nature of lessons by PRC teachers and the influence of mathematics contents and examination systems in the PRC. Findings also indicated a general agreement among teachers from both countries favoring less lecturing and more discussion and interactive activities. There were contrasts by nationality in descriptions of future teaching, ideal lessons, sources of teaching ideas, and preferences about school mathematics programs.

• School Mathematics
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• v.4 no.4
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• pp.601-615
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• 2002

This paper analyzed <7-나> and <8-나> textbooks and teacher instruction activities in classrooms, focusing on procedures used to solve construction problems. The analysis of the teachers' instruction and organization of the construction unit in <7-나> textbooks showed that the majority of the textbooks focused on the second step, i.e., the constructive step. Of the four steps for solving construction problems, teachers placed the most emphasis on the constructive order. The result of the analysis of <8-나> textbooks showed that a large number of textbooks explained the meaning of theorems that were to be proved, and that teachers demonstrated new terms by using a paper-folding activities, but there were no textbooks that tried to prove theorems through the process of construction. Here are two alternative suggestions for teaching strategies related to the construction step, a crucial means of connecting intuitive geometry with formal geometry. First, it is necessary to teach the four steps for solving construction problems in a practical manner and to divide instruction time evenly among the <7-나> textbooks' construction units. The four steps are analysis, construction, verification, and reflection. Second, it is necessary to understand the nature of geometrical figures involved before proving the problems and introducing the construction part as a tool for conjecture upon theorems used in <8-나> textbooks' demonstrative geometry units.

• Education of Primary School Mathematics
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• v.22 no.1
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• pp.95-111
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• 2019

This study searched for the possibility of tangram activities through modifying the tasks of elementary school mathematics textbooks into content based open tasks. As a result of analyzing previous researches, it was confirmed the educational effect of the mathematical tasks transformation and the educational value of tangram activities. The analysis of the textbooks revealed that the tangram activities presented in the textbooks are likely to be at the level of play. It was tried to modify 2015 revised curriculum textbook-tasks into content based open tasks. Based on this study, it could be expected advantages of task modification such as improvement of teachers' expertise and expectation of diverse reactions of students.

• Education of Primary School Mathematics
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• v.19 no.2
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• pp.113-125
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• 2016

The concept and measuring activities of the height of figures are essential to find the areas or volumes of the corresponding figures. For plane figures, the height of a triangle is defined to be the line segment from a vertex that is perpendicular to the opposite side of the triangle, whereas the height of a parallelogram(trapezoid) is defined to be the distance between two parallel sides. For the solid figures, the height of a prism is defined to be the distance of two parallel bases, whereas the height of a pyramid is defined to be the perpendicular distance from the apex to the base. In addition, the height of a cone is defined to be the length of the line segment from the apex that is perpendicular to the base and the height of a cylinder is defined to be the length of the line segment that is perpendicular to two parallel bases. In this study, we discuss some pedagogical problems on the concepts and measuring activities of the height of figures to provide alternative activities and suggest their educational implications from a teaching and learning point of view.