By Alexander Karp, Bruce R. Vogeli
This anthology, inclusive of volumes, is meant to equip heritage researchers, practitioners and scholars of foreign arithmetic schooling with intimate wisdom of arithmetic schooling in Russia. quantity I, entitled Russian arithmetic schooling: historical past and global importance, comprises a number of chapters written by way of distinctive professionals from Russia, the us and different international locations. It examines the historical past of arithmetic schooling in Russia and its relevance to arithmetic schooling during the international. the second one quantity, entitled Russian arithmetic schooling: courses and Practices will research particular Russian courses in arithmetic, their effect and methodological thoughts. even supposing Russian arithmetic schooling is extremely revered for its achievements and was very influential the world over, it hasn't ever been explored extensive. This ebook does simply that.
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Extra resources for Russian Mathematics Education: Programs and Practices (Mathematics Education)
Example text
Here are a few sample problems from this exercise book: • • • • • What is the cost of an arshin [∼28 in] of cloth if a vershok [1/16 of an arshin] costs 18 copecks? (7 × 13) − (56 ÷ 14) + (75 − 67) − 18 There are equal numbers of boys and girls in one family. All of the children went out into the forest and collected 57 mushrooms, each boy returning with 7 mushrooms, and each girl with 12. How many children in total are there in the family? 24 masons paved a street in 5 days. How many masons would it take to pave the street in 15 days?
By what amount had his expenses increased in the second year? The official elementary school curriculum of this period was marked by a certain scarcity of mathematical content and the absence of theory (Pchelko, 1977): Counting up to and down from 100. Four operations with numbers from 1 to 20. Introduction to digits and arithmetical notation. Demonstration of the basic arithmetical concepts with illustrations. Roman numeration up to XX. Nevertheless, many substantive textbooks for elementary schools were published at this time.
For example, from the rule concerning the increase of sums, he derived the following conclusion: “In order to add any number to a sum, it is sufficient to add this number to 8 K. P. Arzhenikov, Lessons in Elementary Arithmetic (1898), and Methodology of Elementary Arithmetic (through 1935). 9 V. K. Bellustin, Methodology of Arithmetic (1899–1919). 10 F. I. Egorov, Methodology of Arithmetic (fourth edition in 1904, last in 1917). ” Here are a few sample problems (Egorov, 1895): • A factory employs 240 men and 160 women; another factory has 50 more men and 30 less women than the first.