China: a Teaching Unit for Primary Grades. INSTITUTION University of Northern Iowa, Cedar Falls
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Grade 6 Math Circles Working with an Abacus What Is an Abacus?
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Grade 6 Math Circles Working with an Abacus February 12/13, 2013 What is an Abacus? An abacus is a mathematical tool used for computing large numbers quickly. The first abacuses were used over 4000 years ago by the Mesopotamians and are still used today by many merchants worldwide. Ancient Egyptians, Romans, Greeks, Chinese, Japanese, Russians and Native Americans also used abacuses, however each culture had a different name and its own unique version of the abacus. The Chinese Suanpan, is an abacus which makes addition, subtraction, multiplication, and division by hand very quick. The Suanpan is the type of abacus we will focus on. Making an Abacus An abacus is a box frame which usually has four to fourteen rods with seven beads on each rod. There is a separator beam which divides the rods into the upper deck and the lower deck. Ensure there are two beads in the upper deck and five beads in the lower deck. Rod Separator Upper Beam Deck Lower Deck Bead 1 Instructions for making your own abacus can be found at http://www.ee.ryerson.ca/~elf/abacus/popsicle/ Abacus Basics 1. Place the abacus so it lies flat on a desk. Make sure the lower deck is close to you and the upper deck is further from you. 2. Gently tilt the abacus up so that the upper beads rest on the separator beam and the lower beads rest at the base of the abacus, then lie the abacus flat again. This process is known as resetting the abacus. -
Suanpan” in Chinese)
Math Exercise on the Abacus (“Suanpan” in Chinese) • Teachers’ Introduction • Student Materials Introduction Cards 1-7 Practicing Basics Cards 8-11 Exercises Cards 12, 14, 16 Answer keys Cards 13, 15, 17 Learning: Card 18 “Up,” “Down,” “Rid,” “Advance” Exercises: Addition (the numbers 1-9) Cards 18-28 Advanced Addition Cards 29-30 Exercises: Subtraction Cards 31-39 (the numbers 1-9) Acknowledgment: This unit is adapted from A Children’s Palace, by Michele Shoresman and Roberta Gumport, with illustrations by Elizabeth Chang (University of Illinois Urbana-Champagne, Center for Asian Studies, Outreach Office, 3rd ed., 1986. Print edition, now out of print.) 1 Teachers’ Introduction: Level: This unit is designed for students who understand p1ace value and know the basic addition and subtraction facts. Goals: 1. The students will learn to manipulate one form of ca1cu1ator used in many Asian countries. 2. The concept of p1ace value will be reinforced. 3. The students will learn another method of adding and subtracting. Instructions • The following student sheets may be copied so that your students have individual sets. • Individual suanpan for your students can be ordered from China Sprout: http://www.chinasprout.com/shop/ Product # A948 or ATG022 Evaluation The students will be able to manipulate a suanpan to set numbers, and to do simple addition and subtraction problems. Vocabulary suanpan set beam rod c1ear ones rod tens rod hundreds rod 2 Card 1 Suanpan – Abacus The abacus is an ancient calculator still used in China and other Asian countries. In Chinese it is called a “Suanpan.” It is a frame divided into an upper and lower section by a bar called the “beam.” The abacus can be used for addition, subtraction, multiplication, and division. -
An EM Construal of the Abacus
An EM Construal of the Abacus 1019358 Abstract The abacus is a simple yet powerful tool for calculations, only simple rules are used and yet the same outcome can be derived through various processes depending on the human operator. This paper explores how a construal of the abacus can be used as an educational tool but also how ‘human computing’ is illustrated. The user can gain understanding regarding how to operate the abacus for addition through a constructivist approach but can also use the more informative material elaborated in the EMPE context. 1 Introduction encapsulates all of these components together. The abacus can, not only be used for addition and 1.1 The Abacus subtraction, but also for multiplication, division, and even for calculating the square and cube roots of The abacus is a tool engineered to assist with numbers [3]. calculations, to improve the accuracy and the speed The Japanese also have a variation of the to complete such calculations at the same time to abacus known as the Soroban where the only minimise the mental calculations involved. In a way, difference from the Suanpan is each column an abacus can be thought of as one’s pen and paper contains one less Heaven and Earth bead [4]. used to note down the relevant numerals for a calculation or the modern day electronic calculator we are familiar with. However, the latter analogy may be less accurate as an electronic calculator would compute an answer when a series of buttons are pressed and requires less human input to perform the calculation compared to an abacus. -
Transition in Knowledge of Chinese Geography in Early Modern Europe: a Historical Investigation on Maps of China
Cultura. International Journal of Philosophy of Culture and Axiology 16(2)/2019: 45-65 Transition in Knowledge of Chinese Geography in Early Modern Europe: A Historical Investigation on Maps of China Jingdong YU Xue-heng Institute for Advanced Studies & School of Government Nanjing University 163 Xianlin Avenue, Nanjing, Jiangsu Province, China [email protected] Abstract: During the 17th and 18th centuries, European investigations into Chinese geography underwent a process of change: firstly, from the wild imagination of the classical era to a natural perspective of modern trade, then historical interpretations of religious missionaries to the scientific mapping conducted by sovereign nation- states. This process not only prompted new production of maps, but also disseminated a large amount of geographical knowledge about China in massive publications. This has enriched the geographical vision of Chinese civilization while providing a new intellectual framework for Europeans to understand China. Concurrently, it has formed another route for the travel of knowledge and intercultural interactions between the East and the West. Those interactions between space and knowledge have been reflected in the production, publication and dissemination of numerous maps of China in early modern Europe. Keywords: map of China; the Jesuits; early modern Europe; travel of knowledge Throughout the cultural exchanges that took between China and the West during the 17th and 18th centuries, maps represented not only the coalescence and conjuncture of spatial information over time, but also their function, as basic vessels for circulating and disseminating knowledge. By the end of the 16th century, with the help of maps, Michele Ruggieri (Luo Mingjian 㖻᱄) and Matteo Ricci (Li Madou ⪠ヽ) had already contacted with Chinese literati and officialdom (Gernet, 1985: 15). -
Formation of the Silk Road – Formation of Euro-Asian Business Relations
82–91 FORMATION OF THE SILK ROAD – FORMATION OF EURO-ASIAN BUSINESS RELATIONS Michal Tomášek* Abstract: In 2013, Chinese president Xi Jinping launched the new Belt and Road initiative in order to connect worldwide markets with China and in order to promote exchange of goods on both terrestrial and maritime routes. This initiative is a follow up of ancient Silk road, established during Han dynasty in 2nd century BC. Since then, Silk road contributed not only to exchange of goods between China and Western civilizations, but as well to exchange of legal cultures. Keywords: China, Silk road, Chinese law, Roman law, Vulgar Roman law, Buddhism The Chinese Han Dynasty1 launched the Silk Road to the West at a time when a compact legal system had already been built in their territory; as for its significance regarding fur- ther development of Chinese law, the system can be compared to the significance of Roman law in Europe, emerging tens of thousands of kilometers westbound at approxi- mately the same time. Roman law represented the legacy of a legal system that was extin- guished as such, but continued through the Eastern Roman Empire and was subsequently adopted in various modifications by new states established in the former territory of the Western Roman Empire. The classical Chinese law was the law of a state that did not dis- appear, but survived and continued its existence. The continuity of the classical Chinese law may appear to have been interrupted after the fall of the Chinese Empire in 1911. How- ever, many examples in later practice of legal interpretation have shown that the ancient Chinese law is far from being “dead”. -
Computers Abacus
History of Science Computers Picton, 2019 Computers In the Current Six Thresholds Paul Klee, 1929 The illustration is a painting by Paul Klee in the Guggenheim Museum. It probably reflects Klee’s impressions of the Nile River that he visited in 1928. It also suggests progression: in general the spaces get wider toward the right. The progression is geometric – 1, 2, 4. There are many partial symmetries between the sections of the painting – such as the green-purple spaces which shift back and forth between left and right. Western scientific has perhaps gone through six changes. After the Renaissance and the Scientific Revolution there have been four industrial revolutions according to Klaus Schwab the chairman of the World Economic Forum: • Steam engine circa 1800 • Electric Power and Combustion Engine circa 1900 • Digital Revolution circa 1980 • Cyber-physical interactions circa 2000 Abacus Roman Abacus Chinese Suanpan The abacus likely derives from the Middle East and was noted there and in China and Egypt before 1000 BCE. The term derives from a Semitic word abaq (sand or dust) and has come to mean a calculating tray. Initially the calculations were tallied in a sand tray, but later beads were moved in a wire frame. The movements that perform the calculations vary with how the beads are set up in the tray. The abacus was the tool of accountants and merchants. 1 History of Science Computers Picton, 2019 The Roman abacus used 1 marker above the divider and 4 below. This setup fits with the Roman numerals (a “biquinary decimal” system) which change in steps of 1 (below the divider), 5 (above the divider) and 10 (next column): I V X L C D M . -
Review to Chinese Old Maps and Recent Study Progress* Wang Jun
Review to Chinese Old Maps and Recent Study Progress* Wang Jun (Chinese Academy of Surveying and Mapping, Beijing, 100039) [email protected] Abstract: Ancient Map is a significant constitution of historical culture treasure, which symbolizes the sovereignty, the national territory and the accumulation of geographical knowledge. The remarkable achievement of Chinese ancient cartography, which aggregated much knowledge and mapping techniques, has been recognized internationally. This paper draws an outline of the history of Chinese cartography, with several sample illustrations, and presents a brief review to the study achievements in this filed, from the approaches of project, scholar, publication, paper and digitalization work recently. Key words: history of cartography, academic review The History of cartography is inter-discipline among the geography, cartography and history of natural science. With reference to other civilizations in the world, the history of Chinese culture and science is long and continent, kept down much for investigating. In several periods, Chinese civilization, including cartography and geography, stood in the front at the ancient time. At the meantime of accumulate of materials and ideology, much maps or plots were produced, recorded, conserve and survive to present, which records the massage of technology of Chinese past surveying and mapping. These past map, are worthwhile for research with the view of history of cartography, and draw the world attention. According to the mapping methods and way of conservation, the catalogues of past maps are formal or official map, commercial published map and draft map in achieves. For the reason for the official map, which was believed to represent the status of past surveying and mapping, secretly conserved in the palace, or lost in war. -
Introduction: the Politics and Production of Scales in China: How Does Geography Matter to Studies of Local, Popular Culture?
Introduction: the politics and production of scales in China: How does geography matter to studies of local, popular culture? The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation Wang, Jing. "Introduction: the politics and production of scales in China: How does geography matter to studies of local, popular culture?" ed. Jing Wang. Locating China: Space, Place, and Popular Culture, Routledge, 2005, pp. 1-30 © 2005 Routledge As Published https://www.routledge.com/Locating-China-Space-Place-and- Popular-Culture/Wang/p/book/9780415366557 Publisher Routledge Version Author's final manuscript Citable link http://hdl.handle.net/1721.1/111833 Terms of Use Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Locating China: Space, Place, and Popular Culture Edited by Jing Wang Routledge, 2005 Introduction: the politics and production of scales in China How does geography matter to studies of local, popular culture? p.1 – p. 30 Jing Wang This volume takes on the challenge of exploring the political economy of place, space, and popular culture in contemporary China. Difang, the Chinese term for “place,” predictably leads us to other spatial conceptions such as diyuan and diyu, synonyms for “regions,” and to a mode of critical inquiry that privileges “geography”(dili )as the conceptual anchor for our discussion of the production and consumption of culture in local places. Throughout this book, there is an active engagement with the spatial prob- lematic and paradigms of critical geography. -
THE FORMATION of MODERN CHINESE GEOGRAPHY in TWENTIETH-CENTURY CHINA by RACHEL WALLNER a THES
SCIENCE, SPACE, AND THE NATION: THE FORMATION OF MODERN CHINESE GEOGRAPHY IN TWENTIETH-CENTURY CHINA by RACHEL WALLNER A THESIS Presented to the Department of Asian Studies and the Graduate School of the University of Oregon in partial fulfillment of the requirements for the degree of Master of Arts September 2014 THESIS APPROVAL PAGE Student: Rachel Wallner Title: Science, Space, and the Nation: The Formation of Modern Chinese Geography in Twentieth-Century China This thesis has been accepted and approved in partial fulfillment of the requirements for the Master of Arts degree in the Department of Asian Studeis by: Dr. Bryna Goodman Chair Dr. Roy B. Chan Member Dr. Daniel Buck Member and J. Andrew Berglund Dean of the Graduate School Original approval signatures are on file with the University of Oregon Graduate School. Degree awarded September 2014. ii © 2014 Rachel Wallner iii THESIS ABSTRACT Rachel Wallner Master of Arts Department of Asian Studies September 2014 Title: Science, Space, and the Nation: The Formation of Modern Chinese Geography in Twentieth-Century China At the turn of the twentieth century, the modern epistemological framework of science superseded indigenous Chinese knowledge categories as the organizing unit for empirical knowledge about space. By the 1920s, pioneering Chinese intellectuals housed spatial knowledge under the new category of modern geography. While this framework for modern knowledge was rooted in the West, Chinese scholars innovated the discipline in ways that enabled them to consistently attend to fluctuating nation-building imperatives. Using autobiography, memoir, and periodicals produced by early Chinese geographers, this study explores how the intellectual shift toward spatial epistemological modernity facilitated modern China's entrance into the global nation-state system. -
China's Geography
China’s Geography: A Boon or Bane? 2 of 29 About the Author Colonel Ashish Sirsikar is a Senior Research Fellow at the Vivekananda International Foundation. He undertakes research in the field of National Security & Defence Studies and specially focuses on China. http://www.vifindia.org © Vivekananda International Foundation China’s Geography: A Boon or Bane? 3 of 29 China’s Geography: A Boon or Bane? The Factor of Geography Well before China arose, its inherent geographical potential had been studied and commented upon by many. However, the true potential of Chinese geography was recognised by the English geographer Sir HJ Mackinder in his famous 1904 article, ‘The Geographical Pivot of History’1in which he posited that the Chinese, should they expand their power well beyond their borders, “might constitute the yellow peril to the world’s freedom just because they would add an oceanic frontage to the resources of the great continent, an advantage as yet denied to the Russian tenant of the pivot region”. Mackinder’s assertion was based on the indisputable premise that, whereas Russia, basically was and still is a land power with an oceanic front blocked by ice, China owing to its large temperate coastline was both a land power and sea power. Subsequently, Mackinder in his widely read and acclaimed piece ‘Democratic Ideals and Reality’ hadpredicted that, along with the United States and the United Kingdom, China would eventually guide the world by ‘building for a quarter of humanity a new civilization, neither quite Eastern nor quite western’2. A century on, some feel that Mackinder’s prophetic pronouncementsare turning into a reality and China’s geography is its greatest boon. -
Opiniões De Acadêmicos Brasileiros Sobre a China
Opiniões de Acadêmicos Brasileiros Sobre a China Brazilian Scholars’ Views on China Reitor Rui Vicente Oppermann Vice-Reitora e Pró-Reitora de Coordenação Acadêmica Jane Fraga Tutikian EDITORA DA UFRGS Diretor Alex Niche Teixeira Conselho Editorial Álvaro R. C. Merlo Augusto Jaeger Junior Enio Passiani José Rivair Macedo Lia Levy Márcia Ivana de Lima e Silva Naira Maria Balzaretti Paulo César Ribeiro Gomes Rafael Brunhara Tania D. M. Salgado Alex Niche Teixeira, presidente Opiniões de Acadêmicos Brasileiros sobre a China Brazilian Scholars’ Views on China Tiejun Gu Organizador © de Tiejun Gu e Antonio Domingos Padula 1ª edição: 2019 Direitos reservados desta edição: Universidade Federal do Rio Grande do Sul Capa: Carla M. Luzzatto Revisão: Carlos Batanoli Hallberg Editoração eletrônica: Carlos Batanoli Hallberg O618 Opiniões de acadêmicos brasileiros sobre a China = Brazilian scholars’ views on China / organizador Tiejun Gu. – Porto Alegre: Editora da UFRGS/Instituto Confúcio UFRGS, 2019. 328 p. il. ; 16x23cm Textos em português e inglês. Inclui guras, mapas e quadros. Inclui referências e apêndices. 1. Relações Internacionais. 2. Política externa. 3. Relações bilaterais – Brasil – China. 4. Relações econômicas – China – América Latina. 5. Economia – China. 6. Investimentos China – Brasil. 7. Desenvolvimento econômico – China. 8. Língua chinesa. I. Gu, Tiejun. CDU 327(81:510) CIP-Brasil. Dados Internacionais de Catalogação na Publicação. (Jaqueline Trombin – Bibliotecária responsável CRB10/979) ISBN 978-85-386-0499-0 Sumário Preface ..................................................................................................9 -
A Comparative Study of Korean Abacus Users' Perceptions And
A Comparative Study of Korean Abacus Users’ Perceptions and Explanations of Use: Including a Perspective on Stigler’s Mental Abacus Soomi Kim Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy under the Executive Committee of the Graduate School of Arts and Sciences COLUMBIA UNIVERSITY 2016 © 2015 Soomi Kim All Rights Reserved ABSTRACT A Comparative Study of Korean Abacus Users’ Perceptions and Explanations of Use: Including a Perspective on Stigler’s Mental Abacus Soomi Kim The purpose of this study was to determine the prevalence of using a “mental abacus” by adults whose mathematics education in Korea included extensive use of the actual abacus as both a teaching and computational aid. One hundred and sixty-nine Korean adults between the ages of 25 to 65 who had abacus training and its uses for a minimum of one year participated in the study. The study had two phases: a quantitative phase and a qualitative phase. The quantitative phase focused on the participants’ perceptions of their training and use of the abacus as well as an assessment of their basic arithmetic competencies. This served as a context for a more in- depth analysis of their perceptions of, and thinking about, the use of the abacus in arithmetic operations obtained in the qualitative phase. All participants were asked and then answered a total of 6 questions regarding basic background information about their abacus training as well as their current use of the abacus for arithmetic computations in order to examine the extent of Korean abacus uses. The questionnaires included an assessment of participants’ arithmetic computation skills.