Best homeschooling books according to redditors

• This is my image, one that applies to me in several ways. I believe it's the best photograph I've ever shot. And it's a picture of my best friends daughter, taken while she was staying with us while her mom was being treated for breast cancer. It was a very difficult time for us all and this photo brings me to tears every time I look at it. I'm so proud to show it off, but damn it hurts to see it. I know you probably weren't in the mood for a sad entry. One of my photos were the first thing that popped into my hear, and that's my best one. I hope I didn't bum you out :P
  
  
• My absolute favorite book is The Little Prince by Antoine de Saint-Exupéry. I first read it in my third grade class and just fell in love with it. I was very happy when I finally got ahold of a copy for my son a few weeks ago.
  
  
• The ebook I want most right now is Social Studies Through Children's Literature, but thats a bit out of the price range so my runner up is Project-Based Homeschooling.

I’m not sure precisely what you mean by “contemporary” or “geometric algebra” or “basic number elements and algebra”. What did you feel was missing from Lang’s book? (I’m not familiar with its contents.)

If you want something in line with the standard high school curriculum, but maybe a bit more rigorous than most, this book by Kiselev was the standard Russian school text for generations (review)

Or you could try the Art of Problem Solving geometry book (site).

There’s a lot of good stuff in Coxeter and Greitzer’s book Geometry Revisited, but I’d say it probably assumes a standard high school geometry course as a prerequisite.

Not really limited to plane geometry, but I really like Hilbert and Cohn-Vossen’s book Geometry and the Imagination (review). I’d recommend getting a used copy of the original printing; the recent ones are printed on demand and not as nice.

Also let me recommend Apostol and Mamikon’s lovely book New Horizons in Geometry (review), though it’s more about calculus than algebra per se.

If you want to study plane curves from a complex number perspective, you could try Zwikker’s 1963 The advanced geometry of plane curves and their applications

If by geometric algebra you mean Grassmann/Clifford/Hestenes style algebra, check out the stuff Jim Smith has been doing, or you could take a look at this thing (I haven’t read it), or try these papers.

They probably aren’t what you’re looking for, but I think Farouki’s Pythagorean Hodograph Curves are pretty neat (that book also has a lot of other interesting material in it). Also neat for formalistic theorizing about algebras for spline curves is Ramshaw’s monograph On Multiplying Points: The Paired Algebras of Forms and Sites (probably a bit abstract for what you want here).

What are your goals? Do you want to design lenses and mirrors for cameras? Model classical mechanics systems? Construct arbitrary shapes out of polynomial curves so you can draw fonts or animate characters on a computer screen? Design cut paths for CNC machines? Approximate transcendental functions by some type of function that you can more easily compute with? Find the prettiest proofs of thousand-year-old theorems about circles? Prepare yourself to study differential geometry or algebraic topology? ...

This series was what my mom had me do in the summer’s to supplement what we did during the school year. Maybe it could help you!

Depending on what state you are in, education may not legally be required until the fall of the year a kid turns 7. I really like the complete Hooked on Phonics boxed set with dvds for teaching letter recognition and phonics. Label things in your house like the fridge, door, table, chair, wall, etc. Draw and make cards for people, and have him practice writing his own name. Get magnet letters for the fridge. My daughter liked learning and writing the numbers 1-100 using this workbook:

https://www.amazon.com/Foundational-Math-Skills-Fun-Schooling-Creativity/dp/1533552797/ref=mp_s_a_1_4?keywords=funschooling+math&qid=1574279344&sr=8-4

If your kid is allowed screentime, look into minecraft. There are lots of "funschooling" workbooks based off of it.

Just want to applaud you for even considering this and then furthermore, researching and asking questions now. You have lots of time to prepare and you can totally get up to speed and then just stay one step or two ahead.

I am NOT home schooled and was vehemently against it - until I was left with no choice. Five years later...

Five years of mistakes and learning - mainly mine ;) And lots of awesomeness. Great learning. Progression. Light bulbs and hilarity. Safe environment (unless I'm yelling) with decent food that the kids cook!

I would just say, I would have a word with yourself and make sure you don't doubt yourself. YOU are the one who is prepared to take on this enormous responsibility. You also need to make sure that your husband will support and love you, even if he disagrees with any choices you make, because you're the one doing it. You will have to assert your authority on the situation - take all the help you can get but never ever allow yourself to be undermined.

Also - stress that homeschooling teaches kids to teach themselves. It is the ONLY way I am able to get mine through highschool. They have the curriculum and an online help system - my job is to make sure they've done it or maybe marking if I have the answer book. It's not great - I wish I was like all these other 'amazingly educated' home school parents, however, I am not. But that will not hinder my kids. It will make them become even better. You have to play to your strengths and stay in control and make it work for you and your children.

I started out with zero knowledge and one book:

http://www.amazon.com/Homeschooling-Dummies-Jennifer-Kaufeld/dp/0764508881/ref=sr_1_1?ie=UTF8&qid=1452741655&sr=8-1&keywords=homeschooling+for+dummies

Also - co-ops. I was in one for a short time and it was superb. Sadly they all left and we're the only family now :(

Best of luck!

Start here: http://giftedhomeschoolers.org

They have a lot of resources.

i also love this book: http://www.amazon.com/Project-Based-Homeschooling-Mentoring-Self-Directed-Learners-ebook/dp/B009AHTRBC/

Read this: https://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773 and you're more than set for algebraic manipulation.

And if you're looking to get super fancy, then some of that: https://www.amazon.com/Method-Coordinates-Dover-Books-Mathematics/dp/0486425657/

And some of this for graphing practice: https://www.amazon.com/Functions-Graphs-Dover-Books-Mathematics/dp/0486425649/

And if you're looking to be a sage, these: https://www.amazon.com/Kiselevs-Geometry-Book-I-Planimetry/dp/0977985202/ + https://www.amazon.com/Kiselevs-Geometry-Book-II-Stereometry/dp/0977985210/

If you're uncomfortable with mental manipulation of geometric objects, then, before anything else, have a crack at this: https://www.amazon.com/Introduction-Graph-Theory-Dover-Mathematics/dp/0486678709/

Hey all! Please support reading by checking out this book! Great read! https://www.amazon.com/dp/B071K9YYKQ , follow the author at https://cindyblognest.wordpress.com/

https://www.amazon.com/How-Opt-Drop-School-Self-Directed-ebook/dp/B00WNCII6Q

You can do it!

https://www.amazon.com/dp/1520420447

This book will go through different projects that will teach the reader how to write software: to improve their singing, synthesize different guitar sounds, change the human brainwave, break glass, help people to relax and learn about many different sound engineering and DSP tools : DFT, FFT, High pass filter, low pass filter, fundamental frequency, Karplus-strong algorithm. In this book they will learn about: Isochronic tones, Binaural beats, and Monaural beats and how to code them. Then they will be able to come up with their own beats. They will learn about sound waves and a lot more. There are very few books / websites that show people how to code DSP tools. There are a lot that show the theory but not many that show the application, so I think this Book would be very useful for high school students, college students, and inter level employees.

A lot of people will recommend just using Pinterest for cool science experiments at that age. But, some people like to have big ideas or some official way to start.

For books, check out Early Elementary Science Education (https://www.amazon.com/dp/1478794666/ref=cm_sw_r_cp_apa_i_t-wDDbXT53TH8). It's based on Building Foundations for Scientific Understanding (another more in depth book mainly about topics), but more grab and go.

For online options, check out Mystery Science (free for one year, limited in free mode but still great) and BrainPop Jr.

Hope that helps get some ideas going!

I took a geometry course a couple of quarters ago that was sort of a review of high school geometry, except rigorous and proof-oriented. According to my prof, Kiselev's Geometry is the absolute best book available for this approach to the subject.

This has turned out to be a much more interesting question than I had thought it would be. It seems to be unexpectedly hard to find a good, short book on Euclidean geometry. Most of the really good books are advanced treatments that have a lot more to say than what you probably want. Anyway, there is a good discussion of this question on mathoverflow. It appears that Kiselev is a pretty good choice. Hartshorne might be good as a guide to learning straight from Euclid (and lots more besides). I don't know how far you really want to go with this project. It might be enough to just get a taste of how the whole synthetic geometry program is organized.

By the way, you know about libary.nu, right?

I've heard people recommend Kiselev's Geometry, on a physics forum. Warning, though; Kiselev's Geometry series(in English) is translated from Russian.

Here's the link to where I got all these resources(I also copy-pasted what's in the link down below; although, I did omit a few entries, as it would be too long for this reddit comment; click the link to see more resources):

https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/

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Note: Alternatively, you can order Kiselev's geometry series from http://www.sumizdat.org/

Geometry I and II by Kiselev

http://www.amazon.com/Kiselevs-Geometry-Book-I-Planimetry/dp/0977985202

http://www.amazon.com/Kiselevs-Geometry-Book-II-Stereometry/dp/0977985210

> If you do not remember much of your geometry classes (or never had such class), then you can hardly do better than Kiselev’s geometry books. This two-volume work covers a lot of synthetic (= little algebra is used) geometry. The first volume is all about plane geometry, the second volume is all about spatial geometry. The book even has a brief introduction to vectors and non-Euclidean geometry.

The first book covers:

• Straight lines
  
  
• Circles
  
  
• Similarity
  
  
• Regular polygons and circumference
  
  
• Areas
  
  The second book covers:
  
  
• Lines and Planes
  
• Polyhedra
  
• Round Solids
  
• Vectors and Foundations
  
  > This book should be good for people who have never had a geometry class, or people who wish to revisit it. This book does not cover analytic geometry (such as equations of lines and circles).
  
  ____
  
  

  Geometry by Lang, Murrow
  

  
  http://www.amazon.com/Geometry-School-Course-Serge-Lang/dp/0387966544
  
  > Lang is another very famous mathematician, and this shows in his book. The book covers a lot of what Kiselev covers, but with another point of view: namely the point of view of coordinates and algebra. While you can read this book when you’re new to geometry, I do not recommend it. If you’re already familiar with some Euclidean geometry (and algebra and trigonometry), then this book should be very nice.
  
  The book covers:
  
  

• Distance and angles
  
  
• Coordinates
  
  
• Area and the Pythagoras Theorem
  
  
• The distance formula
  
  
• Polygons
  
  
• Congruent triangles
  
  
• Dilations and similarities
  
  
• Volumes
  
  
• Vectors and dot product
  
  
• Transformations
  
  
• Isometries
  
  > This book should be good for people new to analytic geometry or those who need a refresher.
  
  > Finally, there are some topics that were not covered in this book but which are worth knowing nevertheless. Additionally, you might want to cover the topics again but this time somewhat more structured.
  
  > For this reason, I end this list of books by the following excellent book:
  
  

  Basic Mathematics by Lang
  

  
  http://www.amazon.com/Basic-Mathematics-Serge-Lang/dp/0387967877
  
  > This book covers everything that you need to know of high school mathematics. As such, I highly advise people to read this book before starting on their journey to more advanced mathematics such as calculus. I do not however recommend it as a first exposure to algebra, geometry or trigonometry. But if you already know the basics, then this book should be ideal.
  
  

• The book covers:
  
  
• Integers, rational numbers, real numbers, complex numbers
  
  
• Linear equations
  
  
• Logic and mathematical expressions
  
  
• Distance and angles
  
  
• Isometries
  
  
• Areas
  
  
• Coordinates and geometry
  
  
• Operations on points
  
  
• Segments, rays and lines
  
  
• Trigonometry
  
  
• Analytic geometry
  
  
• Functions and mappings
  
  
• Induction and summations
  
  
• Determinants
  
  > I recommend this book to everybody who wants to solidify their basic knowledge, or who remembers relatively much of their high school education but wants to revisit the details nevertheless.
  
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  More links:
  
  https://math.stackexchange.com/questions/34442/book-recommendation-on-plane-euclidean-geometry
  
  Note: oftentimes, you can find geometry book recommendations( as well as other math book recommendations) in stackexchange; just use the search bar.
  
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  https://www.physicsforums.com/threads/geometry-book.727765/
  
  https://www.physicsforums.com/threads/decent-books-for-high-school-algebra-and-geometry.701905/
  
  https://www.physicsforums.com/threads/micromass-insights-on-how-to-self-study-mathematics.868968/

To add to my last paragraph, if you wanna go even more basic, you can get a pre-algebra textbook. That's basically a review of everything in the standard US K-7 curriculum. A reasonable reference book for this is Yang's A-Plus Notes for Beginning Algebra: Pre-Algebra and Algebra 1.

For the impatient, look at these three books (I use Amazon links here but I don't care where you buy them):

• Yang, A-Plus Notes for Beginning Algebra: Pre-Algebra and Algebra 1
  
• Axler, Precalculus
  
• Kiselev, Geometry, Book 1 (and optionally Book 2, though it probably goes beyond what you actually learned in school)
  

I enjoyed Homeschooling for Excellence https://www.amazon.com/Homeschooling-Excellence-David-Colfax/dp/0446389862 and Project Based Homeschooling https://www.amazon.com/Project-Based-Homeschooling-Mentoring-Self-Directed-Learners/dp/1475239068/ref=sr_1_1?keywords=project+based+homeschooling&qid=1557432686&s=books&sr=1-1