• Journal of Educational Research in Mathematics
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• v.10 no.2
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• pp.263-277
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• 2000

mathematics holds a key position among the subject-matters of school education. Nevertheless, beyond Its Instrumental one, humanity-educational value of mathematics for the general public has been under estimated. For the past fifty years, in the our country there has not been enough systematic and profound examination and discussion concerning the goals of mathematics education in order to establish the philosophy of mathematics education. Thus, in this thesis we argue how mathematics education could contribute to the humanity education. For this, we examine how western educational theorists have emphasized the value of mathematics as humanity education and how their theories have been reflected in the goals of the modern mathematics education. First of all, we discuss Platonism as a philosophical basis of the traditional mathematics teaching mainly with Euclid's "Elements" since the ancient Greece and the relationship between mathematics education and humanity education in the light of this traditional thought. Next, we examine the thoughts of Pestalozzi, Harbert, Froebel who provided the theoretical basis for the public education since 19th century, and discuss the value of mathematics teaching in their humanistic educational thoughts. Also we examine the humanistic value of mathematics education in Dewey's educational philosophy, which criticized the traditional western ethics and epistemology, and established instrumen talism. Further, we analyze how such a philosophy of mathematics teaching is reflected mathematics education of 20th century, and confirm that the formation of Dewey's rational intelligence is one of the central aims of mathematics education of late 20th century. Finally, we discuss the ideals of humanistic mathematics education ; develop ment of the rational intelligence via 'doing knowledge'and change of mind via 'looking knowledge'. In this paper identify the humanistic values of mathematics education through the historical examination of the philosophies of mathematics education, and we could find significance as a fundamental study for one of the most important problems which Korean mathematics educational society confronts, that is establishing the philosophy of mathematics education.

• Journal of Fisheries and Marine Sciences Education
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• v.21 no.1
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• pp.151-160
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• 2009

The purpose of this study is to investigate the effect of Special Supplementary Mathematics Class on self-efficiency and fear of mathematics in middle school. For this study, the students involved in Special Supplementary Mathematics Classes in middle school took a pre-test and an post-test. According to the results, First, the students showed increased self-efficacy in mathematics after the Special Supplementary Mathematics Class. Second, the students showed a decreased fear of mathematics after the Special Supplementary Mathematics Class. Third, there were no significant differences between boys and girls in the effect of Special Supplementary Mathematics Classes on self-efficacy and fear of mathematics. Fourth, there were significant differences between Grade 2 and Grade 3, and between Grade 1 and Grade 2 in the effect of Special Supplementary Mathematics Classes on self-efficacy in Mathematics.

• Journal for History of Mathematics
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• v.31 no.4
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• pp.169-181
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• 2018

We here discuss about the roles and meaning of Joseon mathematics in the history of Asian mathematics from cultural perspective. To do so, we focus on culture. We first look at the meanings and the definitions of the terms, civilization and culture, and their differences. We next discuss on the cultural perspective to look at the mathematical history of Korea, which is considered as a part of the history of Asian mathematics. It is notable that Joseon mathematics of Korea made Asian mathematics develop further, and played the roles of academic bridges among China, Korea and Japan. It also kept and prolonged the life of the Asian mathematics up to the beginning of the 20th century.

• Journal of Applied and Pure Mathematics
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• v.5 no.1_2
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• pp.55-68
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• 2023

Character education is an important educational purpose in the current situation of secondary mathematics education. In the current mathematics curriculum, character education is mentioned in terms of core competencies. However, it is very difficult to concretely practice character education in secondary mathematics education. This paper examines the theoretical background of character education in the tradition of mathematics education, and suggests that mathematics is regarded as a practical tradition by the nature of mathematics from a value-intrinsic perspective. In this respect, mathematics education is defined as an intrinsic and nurturing character through long history of practice. This paper searched for an integrated approach to practicing character education in of secondary mathematics education, and argued that the teacher's personal approach including the class model approach of the human factors by an example of the exponential law a^maⁿ = a^m+n and the value-oriented activities according to the nature of the mathematics was the core.

• Journal of applied mathematics & informatics
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• v.42 no.5
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• pp.1155-1170
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• 2024

The concept of orthogonality is widely used in various fields of study, both within and outside the scope of mathematics, especially algebra. The concept of orthogonality gives a picture of the relationship between two vectors that are perpendicular to each other, or the inner product in both of them is zero. However, the concept of orthogonality has undergone significant development. One of the developments is Pythagorean orthogonality. In this paper, it is explored topics related to Pythagorean orthogonality and linear mappings in inner product spaces. It is also examined how linear mappings preserve Pythagorean orthogonality and provides insights into how mathematical transformations affect geometric relationships. The results reveal several properties that apply to linear mappings preserving Pythagorean orthogonality.

• Research in Mathematical Education
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• v.27 no.2
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• pp.211-221
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• 2024

What is the aim of mathematics education? Current aims of mathematics education often lack the multidimensionality needed to account for a successful experience in mathematics. In this short paper, we argue for a multidimensional aim of mathematics education via the construct of flourishing. Flourishing is derived from the notion of eudaimonia, which broadly refers to achieving the "highest good," or living a well-lived life. Building on prior research, we operationalize flourishing as an aggregate of several positive affective, behavioral, cognitive, and social traits, all of which contribute to students' propensities to achieve the "highest good" in mathematics. In particular, we propose five traits which contribute to students' propensities to achieve the "highest good" (i.e., flourish) in mathematics: (1) positive emotions toward mathematics; (2) engagement in mathematics; (3) community in mathematics; (4) meaning in mathematics; (5) perceived competence in mathematics. Thus, we argue that one productive aim of mathematics education is to support students in fulfilling each of these traits, which ultimately leads to flourishing in mathematics. To supplement our theoretical stance, we offer suggestions for measuring flourishing as an aim. We close this short paper by describing the implications that such an aim might suggest for pedagogy, policy, and research.

• Journal of Applied and Pure Mathematics
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• v.5 no.1_2
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• pp.109-119
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• 2023

As for the practical purpose of mathematics education, the extrinsic purpose is emphasized. As an alternative to this, a discussion on mathematics education as a character education is urgently requested. It can be said that the main purpose of learning mathematics is to have a form of life that values the form and structure of mathematics. The epistemological basis of such an idea can be seen as based on Kant's philosophy. Kant's epistemology can provide one answer to the question of the intrinsic purpose of mathematics education.

• The Mathematical Education
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• v.58 no.1
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• pp.21-39
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• 2019

This study examines the longitudinal effect of goal perception, mathematics class factors(perceptions about mathematics teachers (PMT), mathematics classroom attitude), and mathematics academic achievement. This study consists of three research models. First, we examined the longitudinal change of goal perception, perceptions about mathematics teachers (PMT), mathematics classroom attitude, and mathematics academic achievement using latent growth curve modeling. Secondly, the slope of PMT is a critical mediator between the slope of goal perception and the slope of mathematics academic achievement. Finally, the slope of mathematics classroom attitude is a critical mediator between the slope of goal perception and the slope of mathematics academic achievement. Data were extracted from Seoul Education Longitudinal Study from 2010 to 2012 (in three waves), and the analysis used by middle school students, measured by 4163 students of the three-wave surveys. Latent growth modeling was applied to verify the research problems. The results of the research are as follows. First, the slope of goal perception had positive and significant effects on the slope of PMT and mathematics classroom attitude, respectively. Second, the slope of PMT and mathematics classroom attitude had positively significant effects on the slope of mathematics academic achievement. Finally, it was confirmed that the slopes of PMT and mathematics classroom attitude are critical mediators between the slope of goal perception and the slope of mathematics academic achievement.

• Journal of the Korean School Mathematics Society
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• v.5 no.2
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• pp.47-57
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• 2002

The purpose of this study is to investigate the effects of a mathematics basis underachiever program on a mathematics achievement and mathematics attitudes. For this investigation, twenty eight-grade students as an experimental group were trained in a mathematics basis underachiever program by trained teachers in a middle school classroom for a period of 8 weeks. Twenty eight-grade students in another middle school, serving as a control group. Both groups were given a pretest and a posttest to check the mathematics achievement inspection tool(Likert-type Mathematics Attitude Survey; LTMAS) and a mathematics attitude inspection tool(KEDI, 2001). In the analysis of data Frequencies, percentiles, t-test were used. The results of the study are summarized as follows; First, the results showed that the experimental group demonstrated significantly higher differences than the control group in the mathematics achievement components of inequality equation, figure area and the whole in a mathematical achievement(p<.05). Second the results showed that the experimental group demonstrated significantly higher differences than the control group in the mathematics attitude components of positive mathematics attitude, negative mathematics attitude and the whole in a mathematical attitude(p<.05).

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.805-822
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• 2005

In Korea, many local university mathematics faculty knew that the institution faced serious student shortage problems and the restructuring and cut actions for such a mathematics major programs. In general, undergraduate mathematics education in korea is in the crisis. In general, lots of mathematics departments in korea was not prepared for such a severe risk. In this article, university mathematics education and research business are studied in the context of the size of korea-usa population, economy(such as GDP), SCI indices. Korea-usa university mathematics education profile data are presented to compare korea-usa university mathematics education business. Lots of precious data on mathematics education are being helped to prepare for the university mathematics education crisis.