#MathEd

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Probability and Cabbages : A video by me and Gemini Notebook

YouTube video by 7 Generation Games

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What is inverse proportion? – 2-Minute Math

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Place Value Exponent Scoot

Promotes Active Movement ("Scoot" Game):Instead of sitting at a desk doing a traditional worksheet, students "scoot" from one card to the next placed around the room or on student desks. This gets stu...

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Fun, pedagogical printable worksheets and activities for kids, parents, and primary classrooms.

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Vereshchagin's Collection of Arithmetic Problems

The great problem bank of the Russian classical school — 3,238 arithmetic problems, now in English for the first time.Vereshchagin's Collection of Arithmetic Problems for Secondary Schools was one of the standard problem books of the Russian gymnasium. It was approved by the Ministry of Public Education for the Empire's secondary schools and teachers' seminaries, and separately for the girls' gymnasia of the Empress Maria department. It ran to eighteen editions — the mark of a book that generations of students and teachers actually used. This translation is made from the seventh edition of 1891.What's insideThree parts, fifty-seven sections, 3,238 problems, each part with its own answer key.The collection covers the full arithmetic course as it was taught in the Russian secondary school — whole numbers and the four operations, compound named numbers, divisibility, common and decimal fractions, the metric system, ratio and proportion, and the commercial rules the classical course was built around: the rule of three, percentage, interest, discount of bills, partnership and alligation. The problems progress from direct practice of a single technique to multi-step problems that require the reader to choose which method applies.Six sections are revision sets rather than drills. The last of them was singled out in 1884 by the Ministry's own reviewer as material for school-leaving examinations, and Vereshchagin enlarged it in later editions in response.Every problem the original answered carries its answer in the part answer keys, so a self-learner can check their work without a teacher.Arithmetic through the world of 1891Vereshchagin insisted his data be real, and drew it from the reference works of his day. So the problems run on railway timetables and track lengths, the heights of Elbrus and Everest, the depth of the Atlantic, the Suez Canal, kerosene lighting, the assay of the new silver ruble. Eratosthenes measures the earth's meridian between Syene and Alexandria and the reader converts the result into versts. The Athenian talent is divided into minas, drachmas and obols. Kulikovo, Poltava and Borodino are dated so that intervals can be computed.Nothing in this book is a made-up number, and that is what makes the arithmetic stick.Why a problem book of this size mattersA textbook teaches the method. A problem book builds the fluency. The two were designed to be used together — the rules and proofs first, then a deep, ordered supply of problems to work until the method becomes second nature.Most classical problem collections give you a few hundred problems. Vereshchagin gives you 3,238. It is the deep well — enough graded material to carry a student through the entire arithmetic course and to give a teacher a lifetime of exercises to draw from.What you get— Complete PDF, 397 pages— 3,238 problems across three parts, in the original graded order— Full answer keys for every part— A glossary of the historical Russian units and currency the problems use— Lifetime access to every revision and bonus, as long as the product is soldWho this is for— Students working through classical Russian arithmetic who want a deep, graded problem set to practise on— Teachers and parents who need a large, reliable supply of well-formed arithmetic problems with answers— Self-learners working through the Russian school mathematics tradition and wanting the problem bank that goes with the textbooksNothing beyond arithmetic is required — no algebra is used and none is needed. That does not make it easy. Vereshchagin wrote for pupils who were expected to reason, and more than a few of these will give an adult pause.About the authorIraklii Petrovich Vereshchagin (1846–1888) graduated in mathematics from St Petersburg University in 1868. The faculty kept him on to prepare for a professorship, but his health would not carry an academic career and he gave it up for the classroom, teaching for twenty years at the Sixth St Petersburg Gymnasium, the Smolny Institute and the Imperial School of Jurisprudence. He compiled three problem books — trigonometry, algebra and this one — and all three were still being reprinted a quarter-century after his death. He died in December 1888; the 1891 edition translated here is posthumous.Pair it with the arithmetic textbookVereshchagin is a pure problem book — no expository theory. It is designed to sit beside an arithmetic textbook.Kiselev's Arithmetic — the classic that defines the method:https://valeman.gumroad.com/l/arithmeticMalinin and Burenin's Arithmetic — the other standard Russian arithmetic textbook, thorough and applied:https://valeman.gumroad.com/l/malinin_burenin_arithmeticThe other classical arithmetic problem collectionsRachinsky's 1001 Problems — the historic collection famous for its word-problem variety:https://valeman.gumroad.com/l/rachinsky_problem_bookBerezanskaya — Arithmetic Problems and Exercises — the ordered, graded companion problem set:https://valeman.gumroad.com/l/arithmetic_problems_and_exercisesPerelman's Entertaining Arithmetic — puzzles, curiosities, and applied problems:https://valeman.gumroad.com/l/perelman_arithmeticFull URL:https://valeman.gumroad.com/l/vereshchagin_arithmetic_problemsTranslated by Valery Manokhin, PhD.Northern Star Academic Press · russianmathbooks.com