Arithmetic - Problems and Exercises
For more than seventy years, Russian schoolchildren learned arithmetic from two books used side by side: Kiselev’s Arithmetic for the definitions, rules, and proofs — and Berezanskaya’s Collection of Problems and Exercises for the problems that turned understanding into fluency. One taught the theory; the other made it stick. Together they formed the backbone of arithmetic instruction across the Russian Empire and the Soviet Union for generations.This is the first complete, faithful English translation of Berezanskaya’s collection — the missing companion to Kiselev — prepared from the original Russian edition and typeset to modern standards.Why this book 2,354 problems — roughly three times the size of a typical problem collection, and the largest in the Russian Math Books catalog. The iconic companion to Kiselev’s Arithmetic. Chapter for chapter, it gives you the practice that Kiselev’s proofs are meant to build. Use them as the matched pair Russian classrooms used for 70+ years. Eight chapters, in the canonical order: numeration; the four operations on whole numbers; divisibility; common fractions; decimal fractions; ratio and proportion; percentages; and a concluding chapter of mixed problems drawing on everything before. Oral drills, written exercises, and word problems of real substance — sequenced from easy to demanding. Source-exact problem numbering, so any reference carries straight over to the Russian edition. Translator’s preface and a reference note on units (metric, plus the centner, hectare, pood, ruble and kopeck) for the modern reader. Who it’s forHomeschooling families, tutors, teachers, and self-learners who want a deep, proven bank of arithmetic problems. Pair it with Kiselev’s Arithmetic for the full classical course, or use it on its own to rebuild arithmetic from the ground up.About the authorElizaveta Savelievna Berezanskaya (1890–1969) was a Soviet mathematics educator and methodologist — one of the first women trained in mathematics through the Bestuzhev Courses in St. Petersburg. She taught in Moscow for decades, headed a mathematics-methods department, and wrote school textbooks printed in the tens of millions of copies. Her arithmetic problem collection is regarded as one of the finest in the Russian tradition. She was awarded the Order of Lenin and the Ushinsky Medal for her contribution to education.Kiselev proves the rules. Berezanskaya makes them automatic.Translated by Valery Manokhin, PhD. Published by Northern Star Academic Press — first faithful English translations of the classic Russian mathematics curriculum, arithmetic through calculus. russianmathbooks.comAlso available in paperback, hardcover, and Kindle.
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