• Communications of Mathematical Education
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• v.23 no.4
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• pp.1093-1130
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• 2009

The purpose of this study is to examine obstacles to progress for 20th century Korean mathematics. In 1945, shortly after Korea was liberated from Japan, there were no Korean mathematics Ph.D. holders, less than ten bachelor degree holders, and only one person with a master's degree in mathematics. We investigate the reasons for this. Korea has to overcome such an unforgiving condition and rebuild quality education programs in higher mathematics over the last several decades. These debilitating circumstances in higher mathematics were considerable obstacles in developing a higher level of mathematical research for the mainstream of 20th century world mathematics. We study policy and curriculums of Korean school mathematics in the late 19th and early 20th century, with some educational and socio-political background.

• Journal for History of Mathematics
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• v.35 no.1
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• pp.19-39
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• 2022

This paper aims to examine how the public perception of mathematics changed in England in the 19th century. As rapid industrial and social developments took place in the 19th century, the educational environment underwent great changes, and the value and public perception of mathematics also changed. Mathematics took a new position in the terrain of educational reform in the late 19th century. In this study, I analyzed the actual condition of mathematics education in elementary and secondary schools, popular educational institutions, and universities in England in the first half, middle, and second half of the 19th century, and compared what values and usefulness of mathematics education were justified in each institution. I also examined how satirical magazine Punch satirized the public understanding or view on mathematics at each period. It is to be hoped that this study will have significant implications for raising the public's positive perception of mathematics in modern society.

• Journal for History of Mathematics
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• v.24 no.2
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• pp.71-89
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• 2011

This article discusses and reviews the mathematics education of F. Klein who had a leading role in the reform movement of mathematics education from the late 19th century. We are mainly investigated the 'Erlanger Antrittsrede' in 1872 that showed Klein's view on early mathematics education and the 'Meraner Lehrplan f$\"{u}$r Mathematik' in 1905 that Widely known, the basis of the curriculum of modern mathematics education. Based on this, We discusses the educational implications-the purpose and methods of mathematics education, teacher education and so on.

• Journal for History of Mathematics
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• v.19 no.3
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• pp.71-84
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• 2006

The purpose of the study was to investigate the evolution of Korean modern mathematics in late 19th and early 20th century. This article reveals the efforts of incipient Korean mathematicians who had adopted modern mathematics from western countries and the difficulties and struggles they had to go through at that time. At the end of the article, we discussed our current status in international mathematical society.

• Journal for History of Mathematics
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• v.23 no.1
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• pp.1-24
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• 2010

In 1895, a new school system was introduced in Chosun by the ministry of education HakBu(學部). They published three mathematics textbooks for the new system, GanISaChikMunJeJib(簡易四則問題集) and GeunISanSulSeo(近易算術書) in 1895 and SanSulSinSeo(算術新書) in 1900. Investigating these three books, we show that they played the role of textbooks and gave rise to a pathway of western mathematics into Chosun. Further they greatly influenced the textbooks published in the early 20th century Chosun.

• School Mathematics
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• v.19 no.3
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• pp.553-570
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• 2017

The purpose of this study was to gain insights into investigating the feasibility on integrating computational thinking(CT) into school mathematics. Definitions and the components of CT were varied among studies. In this study, CT in mathematics was focused on thinking related with mathematical problem solving under ICT supportive environment where computing tools are available to students to solve problems and verify their answers. The focus is not given on the computing environment itself but on CT in mathematics education. For integrating CT into mathematical problem solving, providing computing environment, understanding of tools and supportive curriculum revisions for integration are essential. Coding with language specially developed for mathematics education such as LOGO, and solving realistic mathematical problems using S/W such as Excel in mathematics classrooms, or integrating CT into math under STEAM contexts are suggested for integration CT into math education. Several conditions for the integration were discussed in this paper.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.207-254
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• 2009

We would like to give an introduction about Korean Tertiary Mathematics and curriculum in the early 20th centuryan Ttails like, when tertiary mathematics was introduced in Korea, who adiated it, and how it appeared in curriculum for college education were presented. From the late 19th century, the royal circle of the dynasty, officers, socd. Felites, intellectu. sculum in tand many foreatn my mionaries, who entered Korea, began to establish educational ulstitutions begulnearlfrom the nt80s. Kearl GoJongtannounced thescript for general education icentur. Most of the new schoo scadiated western mathematics as tcompulsory course in their curriculumiese introduced tertiary mathematics in most of the curriculumurse end curriculum in, lfrom nt85 to 1960. Since then, tertiary mathematics was tautit at most of the new private and public schools of each level and in colleges. We have investigated the history of Korean tertiary mathematics with its curriculum from 1895 to 1960.

• Journal for History of Mathematics
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• v.20 no.4
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• pp.175-190
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• 2007

In the nineteenth century was Augustus De Morgan, British mathematician, a great mathematics teacher. Although his name is well known to everybody who is interested in set theory, his major mathematical legacy would arise from his novel research in logic. In this article, we first investigate De Morgan's life briefly; we then consider his precious philosophy of mathematics education based on his students' remarks and his works. Finally, by considering his teaching style, we highlight some of the ingredients that go into making a great mathematics teacher.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.101-122
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• 2004

It has been always the issue to discuss 'how we teach mathematics' for the mathematical learning. As for an answer to this, it was suggested to use the history of mathematics. The reason is simple that is, the education of mathematics requires to understand mathematics and to know the history of mathematics is effective for mathematical understanding. In particular, the history of algebra was discussed to some extent as an illustration. This study focuses on the history of geometry from this point of view. We review the history of geometry by comparison in terms of three criteria from the origin of geometry to modem differential geometry in the middle of the 20th century, which are backgrounds (inner or outer ones), characterizations (approach, method, object), influences to modem mathematics. As an application of such historical data to the education of mathematics, we pose the problem to determine the order of instruction in mathematics.

• Journal of Educational Research in Mathematics
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• v.19 no.2
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• pp.207-231
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• 2009

The purpose of this study is to examine the state of problem solving in Korean elementary mathematics. To do this, we considered the meaning of problem and problem solving in mathematics education, and analyzed the mathematics curricula in the longitudinal-latitudinal dimensions respectively. The longitudinal one consists in examining and comparing the all-time Korean elementary mathematics curricula. Meanwhile the latitudinal one consists in examining and comparing the elementary mathematics curricula of Singapore, the United Kingdom, Japan, and France. As a result of analysis, we selected ten sieves for analysing Korean elementary mathematics textbooks according to the 7th mathematics curriculum. By the analysis, we conclude that we teach problem solving quite positively in school mathematics relative to another countries, in particular we have to reconsider some issues including dealing problem solving as a independent content not a process integrated in other contents.