Algebra
by Israel M. Gel'fand · first published 1993
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…States. http://math.berkeley.edu/~wu/ http://www.corestandards.org/the-standards/mathematics A good example of a beguiling textbook by a world-famous mathematician with lots of open-ended problems is Algebra, by the late Israel M. Gelfand and Alexander Shen. http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 Some of the problems in this book are HARD, but they are generally well posed problems…
on “Afraid of Your Child's Math Textbook? You Should Be.” ↗…realize Israel Gelfand had just died. He is by far my favorite author of mathematics textbooks. (I even use his photograph as my avatar on the first website where I used the screenname tokenadult.) His book Algebra http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 is an inspirational example of how to make a textbook both humorous and challenging, and is the start of a great series of textbooks on secondary…
on “Russia's Conquering Zeros: Strength of lonely productivity” ↗I don't think lack of realism is the worst thing about these types of problems. I think lack of fun is. I can recommend an algebra textbook with fun. And it was written by a mathematician with rather better credentials (theorems that bear his name in higher mathematics) than most algebra textbook authors. The book is Algebra by Israel…
on “(One Of Many Reasons) Why Students Hate Algebra” ↗…(which now have an edition aligned to United States curriculums standards) http://www.singaporemath.com/Primary_Mathematics_Stds_Ed_s/1... followed up by the Gelfand textbooks http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 http://www.amazon.com/Method-Coordinates-I-M-Gelfand/dp/0817... http://www.amazon.com/Functions-Graphs-Dover-Books-Mathemati... http://www.amazon.com/Trigonometry-I-M-Gelfand/dp/0817639144...…
on “Misconceptions about the Khan Academy” ↗Funny that I was just teaching that lesson about fraction comparison last Saturday morning, but I was using fraction pairs that are a bit more challenging (from the excellent textbook Algebra by the late I.M. Gelfand and Alexander Shen). http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 I just put problem 40 from the book, which I taught last week to children of third-grade to…
on “What Silicon Valley gets wrong about math education again and again” ↗…(which now have an edition aligned to United States curriculums standards) http://www.singaporemath.com/Primary_Mathematics_Stds_Ed_s/1... followed up by the Gelfand textbooks http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 http://www.amazon.com/Method-Coordinates-Dover-Books-Mathema... http://www.amazon.com/Functions-Graphs-Dover-Books-Mathemati... http://www.amazon.com/Trigonometry-I-M-Gelfand/dp/0817639144...…
on “Math anxiety causes trouble for students as early as first grade” ↗…Mathematics 6 by Enn R. Nurk and Aksel E. Telgmaa http://www.perpendicularpress.com/math6.html (currently out of print, as explained on the webpage, as the second English edition is being prepared) and Algebra by Israel Gelfand and Alexander Shen. http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 Both are full of interesting problems and expect learners to be smart. I particularly like Gelfand's…
on “Get ready for China's domination of science” ↗…engineering. One of my favorite textbooks for taking a balanced approached to making mathematics teaching interesting, rigorous, engaging, and practical is the late Israel Gelfand's and Alexander Shen's textbook Algebra published by Birkhäuser. http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 Many of the problems are HARD--the author is not afraid to pose research-level problems to first-time learners of…
on “The curious case of the number 3435” ↗…this post. I teach binary numeral notation, and then arithmetic with that notation, to third graders each year as part of the math classes I teach in my town. One of my favorite resources is the book Algebra by Gelfand and Shen, http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 which includes problems in representing numbers in binary notation and doing arithmetic with binary notation that are…
on “How I Taught Third Graders Binary Numbers” ↗…the term). http://www.math.rutgers.edu/~zeilberg/Opinion62.html Gelfand was a mathematician who also cared deeply about mathematics pedagogy, and his textbooks are delightful. http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 http://www.amazon.com/Functions-Graphs-Dover-Books-Mathemati... http://www.amazon.com/Method-Coordinates-I-M-Gelfand/dp/0817... http://www.amazon.com/Trigonometry-I-M-Gelfand/dp/0817639144...…
on “The mathematics generation gap” ↗> Gelfand's wonderful basic math texts instead This is good stuff. Thanks for the pointer. http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 http://www.amazon.com/Trigonometry-Gelfand-Mathematical-Semi... > I haven't seen the physics sections You should take a look ;) Check out the "Free tutorial" in…
on “No bullshit guide to math and physics” ↗…engineering majors) is much gentler for people seeing this material for the first time. Although I do highly recommend his Calculus book once you have the other book down. Gelfand also has some nice texts on Algebra, Trig, and Geometry that are reasonably cheap, especially if used. I'm older and went back to school later in life to study math, and these are the books I learned that material (for the first time --…
on “Mathematics for the Adventurous Self-Learner” ↗israel gelfand, a top russian mathematician, has books aimed at high school students that served as education materials for distance learning in russia. the series covers algebra, functions, trigonometry, graphs, geometry, and more. https://www.amazon.com/Functions-Graphs-Dover-Books-Mathemat... https://www.amazon.com/Sequences-Combinations-Limits-Dover-M... https://www.amazon.com/Geometry-Israel-M-Gelfand/dp/10716029...…
on “Mathematics for the Adventurous Self-Learner” ↗You can find some on Amazon. Gelfand's Algebra: https://www.amazon.com/Algebra-Israel-M-Gelfand/dp/081763677... Gelfand's Geometry: https://www.amazon.com/Geometry-Israel-M-Gelfand/dp/10716029... Gelfand's Trigonometry: https://www.amazon.com/Trigonometry-Gelfand-Mathematical-Sem...
on “American parents are sending their kids to 'Russian math' (2017)” ↗The book mentioned in this blog post is a pretty good book. I like another book http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 for slightly more advanced math learners, including those I teach in the more experienced section of the math classes I teach in my town. Below is a set of quotations and…
on “A Math Paradox: The Widening Gap Between High School and College Math” ↗