scholarly journals Awareness of Preservice Mathematics Teachers about Prehistoric and Ancient Number Systems

2020 ◽  
Vol 3 (2) ◽  
pp. 57
Author(s):  
Nazan Mersin ◽  
Mehmet Akif Karabörk ◽  
Soner Durmuş
Keyword(s):  
System Analysis ◽  
Descriptive Analysis ◽  
History Of Mathematics ◽  
Number System ◽  
Ancient Greek ◽  
Black Sea Region ◽  
Ancient Egyptian ◽  
Number Systems ◽  
Counting Methods ◽  
History Of

This study seeks to analyse the awareness of the pre-service teachers on the counting methods, systems and tools used in the prehistoric method and the Ancient period and to examine the distribution of this awareness by gender. A total of 42 sophomore-level students studying at a university in the Western Black Sea region, Turkey, participated in this exploratory case study. The data were obtained through a form consisting of 6 questions, one of which is open-ended, after the 14-week course of history of mathematics. The data collection tool included questions on the counting methods used in the pre-historic period and the Ancient Egyptian, Ancient Roman, Babylonian, Ancient Greek and Mayan number systems. The data were analysed through descriptive analysis and content analysis. The findings indicated that the pre-service teachers most reported the methods of tallying, tying a knot, token, circular disc. Also, the question on the Ancient Egyptian number system was answered correctly by all pre-service teachers, the lowest performance was observed in the question on the Mayan number system. Analysis of the answers by gender revealed that the male pre-service teachers were more likely to give false answers compared to the female pre-service teachers.

History of Mathematics in Teaching Arithmetic

1954 ◽  
Vol 1 (2) ◽  
pp. 24-25
Author(s):  
Margaret F. Willerding
Keyword(s):  
Historical Development ◽  
History Of Mathematics ◽  
Modern Society ◽  
Number System ◽  
Favorable Attitude ◽  
Political Conflicts ◽  
Units Of Measurement ◽  
Motivation For Learning ◽  
History Of ◽  
Attitude And Motivation

Learning about the historical deveLopment of some phases of arithmetic not only serves as a basis for better understanding of our civilization but also aids in creating a favorable attitude and motivation for learning. Many teachers, because of their lack of knowledge, overlook the history of mathematics as a source of enrichment in teaching arithmetic. The development of our number system, of fractions, and units of measurement is as exciting to many pupils as the accounts of wars and other political conflicts in the struggle for freedom. In fact, modern society is very dependent upon number and quantity and the ways in which these are interpreted and used.

Developing understanding of number system structure from the history of mathematics

2009 ◽  
Vol 21 (2) ◽  
pp. 96-115 ◽  
Author(s):  
Mala Saraswathy Nataraj ◽  
Michael O. J. Thomas
Keyword(s):  
History Of Mathematics ◽  
Number System ◽  
System Structure ◽  
History Of

Certain Ancient Number Systems

2016 ◽  
Author(s):  
Joseph Mazur
Keyword(s):  
Number System ◽  
Multiplication Tables ◽  
Additive System ◽  
Number Systems ◽  
Large Numbers ◽  
System P ◽  
History Of ◽  
Greek Alphabet

This chapter discusses ancient number systems, beginning with the Babylonian system. Almost every history of early Western mathematics begins with the Babylonian conception of number, a so-called sexagesimal (base 60) system for writing large numbers, formulations of multiplication tables, and ideas for astronomy. The current number system needs symbols for just ten numbers in order to represent any number we wish, compared to that of the Babylonians which needed just two symbols. The chapter also considers the early Egyptian number writing, which was an additive system, as well as the Greek alphabet and sequential number system, Roman numerals, Aztec numerals, and the Mayan system.

Number Facts—or Fantasy?

1987 ◽  
Vol 34 (7) ◽  
pp. 38-42
Author(s):  
Martha H. Hopkins
Keyword(s):  
History Of Mathematics ◽  
Elementary Classroom ◽  
Number System ◽  
Decimal System ◽  
Historical Information ◽  
History Of ◽  
Numeration Systems ◽  
Number Facts ◽  
Programs Of Study ◽  
New Math

Articles in the Arithmetic Teacher have stressed the use of the history of mathematics to enhance motivation in the elementary classroom (Cowie 1970; Jackson 1964; Kreitz and Flournoy 1960; Krulik 1980; Willerding 1954). The increased emphasis on other numeration systems in the “new math” produced several articles that encouraged teachers to include historical information about the development of the decimal system in their programs of study (Baker 1963; Delaney 1963; Fisher et al. 1963; Schaaf 1961; Young 1964). The rationale for including these topics was that they would help students appreciate the development of our number system and would stimulate interest, enthusiasm, and a better understanding of our civilization.

scholarly journals Teaching of Angle of Elevation by Integrating Angle Measurement in Ancient Egyptian Mathematics

2018 ◽  
Vol 7 (4.1) ◽  
pp. 76
Author(s):  
Steffan-Mae Juquiana ◽  
John Carlo Padua ◽  
Herminia Ilao ◽  
Joan Simangan ◽  
Levi Esteban Elipane
Keyword(s):  
Lesson Study ◽  
History Of Mathematics ◽  
Real Life ◽  
Angle Measurement ◽  
Innovative Teaching ◽  
Study Planning ◽  
Ancient Egyptian ◽  
History Of ◽  
Video And Audio ◽  
Set Up

The aim of this study is to stimulate reflections and determine the effects of teaching mathematics by integrating its history through Lesson Study. Lesson Study was utilized as a process to delve into the possible outcomes of incorporating history of mathematics in teaching angle of elevation to 15 freshmen college students taking BS Air Transportation. The researchers followed the three steps in conducting a Lesson Study; planning, implementing, and conducting the post-lesson discussion. The implementation of the lesson and the post-lesson discussion were video and audio recorded which later on transcribed. Three issues in attaining the objectives of the lesson were identified: (1) Being Able to Set-up the Condition and Being Clear with the Instructions (2) Being Realistic with Examples, and (3) Importance of Processing Methodologies, which greatly play an important share on maximizing the learning process and students’ success. Furthermore, feedbacks from the observers and students suggests that using history of mathematics enhanced students’ curiosity about the significance of the lesson in real life. This study may contribute to the advancements of innovative teaching strategies to the rest of educators and researchers.  

Historically Speaking, - -

1953 ◽  
Vol 46 (8) ◽  
pp. 575-577
Keyword(s):  
Binary System ◽  
High Speed ◽  
History Of Mathematics ◽  
Number System ◽  
Historical Background ◽  
Interesting Phenomenon ◽  
Information And Communication ◽  
History Of ◽  
The Many ◽  
And Algebra

The binary system as a special case of the generalized problem of scales of notation has had a sudden resurgence of popularity. This is largely due to its use in modern high-speed electronic calculators and in new developments in the theory of “information” and “communication.”1 However, this new utility of the binary system arrived at the same time that an even greater emphasis was being placed on “meaning” and “understanding” in the teaching of mathematics. In arithmetic (and algebra) many teachers have felt that understanding of our number system was enhanced, and in some cases first achieved, through a study of numbers written to some base other than ten. These two motives, utilitarian and pedagogical, have led to several articles on the history of the binary system and related topics,2 but it seems that none of them have stressed several additional pedagogical values to be derived from a proper survey of the historical background of scales of notation. This topic is not only intrinsically inter esting, but it also illustrates well the role of generalization and abstraction in mathematics, the roles of necessity and intellectual curiosity in mathematical invention, a few of the many connections between mathematics and philosophy and religion, and the interesting phenomenon of simultaneity in discovery which recurs so often in the history of mathematics.

Using the Ancient Method of False Position to Find Solutions

2008 ◽  
Vol 14 (4) ◽  
pp. 252-254
Author(s):  
Thomas G. Edwards
Keyword(s):  
High School ◽  
Middle School ◽  
School Teacher ◽  
History Of Mathematics ◽  
High School Teacher ◽  
Ancient Egyptian ◽  
History Of ◽  
False Position

During my twenty-four years as a middle school and high school teacher, I observed that students were often fascinated by vignettes from the history of mathematics. When the vignette had an ancient Egyptian setting, that background added a certain mystique.

scholarly journals ANCIENT BELIEFS AND THEIR RELIGIOUS AND MYSTICAL SYMBOLS

2020 ◽  
pp. 96-107
Author(s):  
ELYOR ALIMKULOV
Keyword(s):  
Ancient Greece ◽  
Ancient Egypt ◽  
Ancient Greek ◽  
Religious Symbol ◽  
Religious Symbols ◽  
Ancient Egyptian ◽  
Religious Worldview ◽  
The Family ◽  
History Of

The article examines the concept of religious symbols, the history of the origin of religious-mystical symbols in ancient Egypt, Greece and Rome, their essence and content and meaning today. Also, the author’s views on the introduction of the concepts of symbol and religious symbols into scientifc circulation are expressed, various defnitions of these concepts by Western scientists are given, the role of symbols in society is determined. It is noted that in ancient Egyptian beliefs, each tribe worshiped and revered not only its own god, but also a certain animal that was somehow connected with this god, regardless of whether they were both in separate forms or zoo-anthropomorphic, that is, presented in the form religious symbol «man-animal». In particular, from the article you can learn a lot about such popular symbols as the Ankh Amenti, Ba, Shenu, Jed, The pen Maat, Urey, Ujat. Also, the work contains information about the symbols represented in the religious beliefs of Ancient Greece from various sources that have come down to us, ancient Greek epics, the works of Greek philosophers. Since the ancient Greeks and Romans often deifed several animals and birds, the moon and the sun, gods in human forms, based on the mythologies of these peoples, a comparative analysis of some religious and mystical symbols was carried out, such as Ares - Mars, Asclepius, harpies, Hermes - Mercury, Zeus - Jupiter, Nika - Victoria, Pegasus, Themis. Besides, this scientifc study reflects the scientifc views that the religious worldview of the ancient Romans was associated with agriculture, rituals deifying nature, mysticalreligious images and ancestral spirits, which were usually carried out by the head of the family. Shows the essence and content of attributes and symbols that appeared later in ancient Roman beliefs as a result of rituals of animal and plant sacrifces, worship and special rituals

Sign in / Sign up

Export Citation Format

Share Document