• Journal for History of Mathematics
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• v.19 no.1
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• pp.55-64
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• 2006

The thesis is about the development of mathematics starting from the old Greece and the old Babylonia. The modem mathematics has been developed, based on the set theory in the axiomatic method since the 19th century. The primary impetus of this thesis will be to summary the development of topology.

• Journal for History of Mathematics
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• v.33 no.4
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• pp.223-236
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• 2020

We examine how the formulas of the area and the circumference of a circle related to pi in the ancient Egyptian and the Old Babylonian fields of mathematics have been controversial. In particular, the Great Pyramid of Khufu, Ahmes Papyrus Problem 48 and Moscow Mathematical Papyrus Problem 10 have raised extensive controversy over π. We propose the pi-theory of the Great Pyramid of Khufu as a dynamic symmetry based on Euclid's rectangle. In addition, we argue that the ancient Egyptian or Old Babylonian mathematics influenced Solomon's Molten Sea, Plato and Archimedes' pi.

• Proceedings of the Korean Geotechical Society Conference
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• 2005.03a
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• pp.1562-1571
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• 2005

The use of geogrid for SRW systems and bridge abutment has increased rapidly over the past 10 years in Korea. The concept of segmental retaining walls and reinforced soil is very old and for example The Ziggurats of Babylonia(i.e. Tower of Babel) were built some 2,500 to 3,000 years ago using soil reinforcing methods very similar to those described in current design. Modern SRW(Semental Retaining Wall) units were introduced in 1960's as concrete crib retaining wall systems. In this paper, the friction properties between segmental concrete units and geogrid are investigated by performing various tests.

• Journal of the Korean Geotechnical Society
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• v.21 no.1
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• pp.51-58
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• 2005

The use of geogrid for SRW systems and bridge abutment has increased rapidly over the past 10 years in Korea. The concept of segmental retaining walls and reinforced soil is very old and for example The Ziggurats of Babylonia(i.e. Tower of Babel) were built some 2,500 to 3,000 years ago using soil reinforcing methods very similar to those described in current design. Modern SRW(Semental Retaining Wall) units were introduced in 1960's as concrete crib retaining wall systems. In this paper, the friction properties between segmental concrete units and geogrid are investigated by performing various tests.

• Communications of Mathematical Education
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• v.29 no.2
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• pp.157-196
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• 2015

The purpose of this article is to discuss some of the most commonly repeated misconceptions on the history of mathematics described in the secondary school mathematics textbooks, and recommend that we should include mathematical transculture in the secondary school mathematics. School mathematical history described in the texts reflects the axial age, and deals with mathematical transculture from the ancient Greek into Europe excluding the ancient Egypt, Old Babylonia, and Islamic mathematics. We discuss about them through out the secondary school textbooks and give some alternatives for the historical problems.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.171-199
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• 2022

In this study, we review contents to supplement the descriptions of the history of mathematics in the 2015 mathematics textbooks and teacher guides for the elementary school level and offer our opinion on them. For this purpose, we conducted a literature review on 24 types of 2015 mathematics textbooks and teacher guides for the elementary school level. The results of this study are as follows: A total of 10 topics were found whose contents were supplemented with descriptions. They were the "Arithmetic of the Ancient Egyptians," the "A'h-mosè Papyrus in Mathematics Textbooks of the Ancient Egyptians," "The Old Akkadian Square Band in Mesopotamia," "The Relationship of the Old Babylonians in Mesopotamia with the Angle," "The Pi of the Ancient Egyptians and the Old Babylonians," "The Square Roots 2 of the Ancient Egyptians and the Old Babylonians," "The Relationship of the Islamites with the Decimal Fraction," "Two Arguments for the Roots of the Golden Ratio," "The Relationship of Archimedes with the Exhaustion Method," and "The Design of Flats." Then, their specific supplements were suggested. It is expected that this will overcome the perspective of the history of the Axial Age and acknowledge and accept the perspective evidencing the transfer of mathematical culture from Ancient Egypt and Old Babylonia to Ancient Greece and Hellenism, and then through Central Asia to Europe.