Download PDF by Lianghuo Fan, Ngai-Ying Wong, Jinfa Cai, Shiqi Li: How Chinese Teach Mathematics: Perspectives from Insiders

By Lianghuo Fan, Ngai-Ying Wong, Jinfa Cai, Shiqi Li

ISBN-10: 9814415812

ISBN-13: 9789814415811

This specified publication represents one other concerted study attempt bearing on chinese language arithmetic schooling, with contributions from the world's prime students and such a lot lively researchers. The e-book offers the most recent unique study paintings with a selected concentrate on the "teaching" facet of chinese language arithmetic schooling to a large overseas viewers. There are in most cases 3 sections within the booklet. the 1st part introduces readers to a historic and modern point of view, respectively, on conventional mathematical educating in old China and on how glossy chinese language arithmetic academics educate and pursue their pre-service education and in-service expert improvement. the second one part offers experiences investigating quite a lot of concerns at either the macro- and micro-levels on how chinese language arithmetic academics educate arithmetic. The 3rd part specializes in chinese language arithmetic academics, investigating concerns approximately their wisdom, trust, instructor education improvement. Like its predecessor, How chinese language research arithmetic: views from Insiders, this publication is a needs to for tutorial researchers, practitioners, and policy-makers who're drawn to figuring out extra approximately arithmetic educating, lecturers, instructor schooling improvement pertaining to chinese language academics and learners.

Readership: Researchers, educators, teachers, and graduate scholars in arithmetic and schooling.

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Download PDF by Lianghuo Fan, Ngai-Ying Wong, Jinfa Cai, Shiqi Li: How Chinese Teach Mathematics: Perspectives from Insiders

This particular publication represents one other concerted study attempt referring to chinese language arithmetic schooling, with contributions from the world's top students and such a lot energetic researchers. The e-book provides the most recent unique examine paintings with a specific specialise in the "teaching" part of chinese language arithmetic schooling to a large overseas viewers.

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Extra resources for How Chinese Teach Mathematics: Perspectives from Insiders

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The ninth chapter gou gu (right triangles) in The Nine Chapters on the Mathematical Art is on the application of the Pythagoras’ theorem. Although the original text of both books does not give the proof for this important theorem, later commentaries on both books have supplemented a number of different proofs to it. The different versions of proofs also serve as a purpose to illustrate that there are usually multiple approaches to the same problem. The role of a proof is not only for verification of theorems; it also serves the important function of enlightenment.

15 days) to gather 7 masters) (The answer can be obtained after division by 105) In modern terminology, it explains Qin’s algorithm as follows: Find out the smallest multiple of 35 (which is the LCM, least common multiple, of 5 and 7) so that its reminder after division by 3 is 1. In this case it is 70. Then find out the smallest multiple of 21 (the LCM of 3 and 7) whose reminder after division by 5 is 1. This time we get 21. Do the same for the smallest multiple of 15 (the LCM of 3 and 5), and we obtain 15.

4 so as to increase the teaching effectiveness of the “official system” and at the same time to prepare students to adapt to the mathematical as well as the social development like sitting for the keju examination to become a government official at that time. However, as we all know that there is always a mathematical theory behind an algorithm. Educators cannot teach students mathematics without explaining mathematics principles to them. Actually, teachers of ancient China, no matter from state-run or privately-run institutions, would provide oral explanations on mathematics principles to students in their teaching of mathematics.

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How Chinese Teach Mathematics: Perspectives from Insiders by Lianghuo Fan, Ngai-Ying Wong, Jinfa Cai, Shiqi Li


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