I can't think of a single book that captures this so cleanly. A few that have been useful:
Measurement - ISBN-10: 0674284380
Zero: The Biography of a Dangerous Idea - ISBN-10: 0140296476
They list an ISBN-10 and an ISBN-13 but i dont know the difference
I used to be a dealer too! I ended up dealing blackjack, roulette, craps, bacc, Pai Gow, and many poker variants. I recommend that you read the book Secrets of Mental Math or watch the dvd. To practice, look at getting an app called Anki and make flashcards for yourself. Good luck and have fun!
Houston's How To Think Like A Mathematician is pretty good. It covers pretty much all the basics (assuming you've at least made it through high-school math) and spends a lot of time focusing on how to think about the material, as opposed to just the material itself.
The Soviets sucked at a lot of things but their physics and math education was world-class. Gelfand has a series of textbooks on basic math (algebra, trig, analytic geometry) that are great too: https://www.amazon.com/Trigonometry-I-M-Gelfand/dp/0817639144/ref=mp_s_a_1_1?dchild=1&qid=1595963298&refinements=p_27%3AI.+M.+Gelfand&s=books&sr=1-1
So because you show me examples of 50~80 women showing off their internalised racism, you think that’s a perfectly valid way to generalise more than 844 million people’s behaviour and preferences?
Whoa, boy! There’s this exciting thing called statistics and false equivalency that you need to read about! ;-)
Don't be too depressed about it. If there is anything I can tell from my extensive SAT experience, math is actually the easiest section to improve in SAT. Khan academy is actually not a good SAT math practice source. Here's a book that helped me to get 790 on math. I recommended this book to literally all my friends. I hope you do well.
What matters the most is that you did it despite all the ups and downs. And i bet it was quite a journey. With that being said can you share any resources you used for calculus and discreet maths? I am currently stuck at calculus and don't know if i should use khan academy or this book? I bought the straightline membership and don't like the course material and the layout.
Lol this is so true, I bought the straightline membership with their calculus course and i am not really liking it. khan academy and this book is all i needed tbh lol.
I don't mind straightline as i will be using their proctored exams but yea if anyone is reading this comment then give Khan academy a chance before you spend money on straightline and the lay out is way better.Some of the videos on straightline look like their were recorded in the 90s tbh.
There is a whole series of Manga science books that might interest your students. For example The Manga Guide to Physics, The Manga Guide to Biology. You can order them from Amazon. https://www.amazon.com/Manga-Guide-Calculus-Hiroyuki-Kojima/dp/1593271948/ref=sr_1_5?keywords=manga+physics&qid=1639271562&sr=8-5
I dont think you need to necessarily give a real life application for mathematics. It's quite a conceptual thing. Math has its own world. Graphs, equations and geometry is its world. And you revolve around it trying match things together and come to a conclusion.
I'm not entirely disagreeing with you. Trust me, it was a pain in the ass to understand limits without having a single clue why am I learning it for. But when you are learning a really minute and standalone concept, there is a very little chance that you have an exact real life application for it. Growing up, I think you were much comfortable with say, "Jimmy has 5 apples he gets 2 more how many does he have now? " rather than "5 + 2" and it get that you were used it to it. But when you are learning something more advanced, you need to visualize the whole numbers and weird spaghetti letters as something you feel easy to understand and process. I dont think anybody does that for you.
Applications of maths lies within other subjects say physics and you cant expect a math teacher to apply physics to his purely theoretical mathematics concept. When you learn something in physics and understand something in maths, it's you who is supposed to link both of them together.
And you mentioned "Trying to memorize proofs" I have no clue why you would do that. Proofs are meant to make you realize how the property or formula has come to existence. And I find it completely useless to memorize proofs.
If you are struggling in calculus I highly recommend the above book. Its perfectly put together.
Also you can't just master maths by working out 2 or 3 problems. You need a ton of practice to really understand what's going on.
you bring up those quotes as if they're exclusive and can't happen at the same time. your mental competence is so low, it's actually not worth it to explain things to you. just because the foul game is impacted in the playoffs doesn't mean he's still not getting to the line. look at his 2pt and 3pt %s. look at his fta going from 11ish to below 9. actually, take a look at this instead
Can't speak for AQA physics, although Physics and Maths Tutor is really useful for me on OCR and they do also cover AQA; completely honestly I don't use the textbook for computer science, but Craig n Dave do a great job for OCR A-level in my experience.
For Edexcel maths, I just use the standard textbooks, and the exercises in there are enough for me to get a solid understanding. For more practice, just use past papers, you can find those on the Edexcel website I'm pretty sure.
https://www.amazon.co.uk/Edexcel-level-Mathematics-Textbook-Further/dp/129218339X This is the design of all the Edexcel textbooks; if your teacher uses another one then obviously just go with that, but if you ever want to get a head start then you could consider buying these and looking at the early chapters, both for maths and further maths.
I know you did not ask for a book, but Calculus for Dummies may help you, it really helped me a lot https://www.amazon.com/-/es/Mark-Ryan/dp/1119293499 the author explains concepts really well imo. You can probably get a copy in zlibrary or libgen, good luck
Oh wow, I've never actually talked with anyone who shared that experience. It certainly is really frustrating. Meds don't really help with it, either, even though they've made a huge difference for me in other areas.
I did get a book that improved my mental math a bit, since it taught me new methods that I wasn't aware of. It doesn't help with holding the numbers in my head, but I'm still glad I read the first quarter or so of it. Here's a link:
Also on Amazon - https://www.amazon.com/Manga-Guide-Calculus-Hiroyuki-Kojima/dp/1593271948 but buying a ebook direct from No Starch Press gets you a version without any DRM.
https://www.amazon.com/Dr-John-Chungs-Math-Fifth/dp/1725732734/ref=sr_1_1?crid=3RQRADT4EALNB&dchild=1&keywords=chung+sat&qid=1597696206&sprefix=Chong+sat%2Caps%2C240&sr=8-1 I like this personally as well. Tasks are harder but explanations are clever and shorter
This is one of the methods suggested in this book: https://www.amazon.com/Secrets-Mental-Math-Mathemagicians-Calculation/dp/0307338401
It’s a really nice read for doing mental math. The author, Arthur Benjamin, has some really impressive videos on YouTube IIRC
>Ça tombe bien puisque l’expérience a été reproduite 10 fois.
lol à ce niveau là de stupidité je peux rien faire pour toi désolé
EDIT : nan allez, en vrai je vais t'aider un peu, va lire ça : https://www.amazon.com/Statistics-Dummies-Math-Science/dp/1119293529
Here is some recommended reading. It's absurd to attempt to make a 1-1 comparison when whites are between 62% and 77% (depending on if you count Hispanics as white) of the total population of the US. It makes much more sense to make a per capita compairsion so total mass shootings per 100000.
Knowing the various tricks and just practice. I wanted to get good at mental math for fun and I saw huge improvements after reading this book and just practicing with apps on my phone or with pen and notebook when I was bored.
Sure there are some people who are naturally gifted but it really does come down to practice. If you have a chance to work on campus as a tutor at all you can then get paid to practice getting quicker.
Look at Customers also bought, books about proofs, Real analysis, probability etc. Amazon suggests a bunch: Hammack, Courant/Robbins, Devlin, Polya: http://www.amazon.com/How-Think-Like-Mathematician-Undergraduate/dp/052171978X/
For mathematics use the Edexcel ones that now look like this. No other good alternative really. I've had a look through them and they seem as good as the old ones. You can also use online resources like ExamSolutions and PhysicsAndMathsTutor for past papers and tutorials.
For sciences the CGP ones are pretty good. For example this one.
When I was a kid I LOVED math for smarty pants. Lots of fun problems and games presented by illustrated characters. Several of the reviewers mention using this book with 6th graders, so I'm not sure how that compares to your son's age. The amazon link has a preview of the book. Teaches you things like how to figure out which weekday (Monday, Tuesday, etc.) you were born using only the date and what comes after a trillion (quadrillion, quintillion, etc.)
I started my college math career with a lot of holes, including in trig, that I had to patch up. I had a great time working through the book Trigonometry by Gelfand and Saul. It prepared me really well for further work.
As already mentioned by others, there's a lot more to math beyond what you've mentioned above, but on the presumption that something that covers from "numbers sets and arithmetic" to "calculus and differential equations", I might suggest Measurement by Paul Lockhart.
It definitely satisfies the "written for human beings" requirement, and it starts out with a discussion of shapes that any elementary school student could probably follow and then works its way up to calculus. You might have to look elsewhere for d.e. though.
In general, you'll probably find more success covering "some~~every~~thing about math" if you try to find a collection of books on various topics, rather than just one book.