I am replying to the person asking about going beyond 100. The book says by that time you transition into numbers as you would already have been doing some problem solving.
For those out there still using the dot cards: try introducing numbers in many other ways:
Set up stuffed animals, cups, etc. in random order and have them duplicate it with the same number using a different item. "Oh, look, I see ___ animals! Let's feed them, why don't you set out the cups/plates/etc?" or "How many cups will we need?"
We want to always generalize their learning. I talk to my granddaughter when we go for a walk. "This is the bark of the Maple tree. This is the bark of the Birch tree. The bark is like a jacket, it keeps the tree warm." (picking up leaves from different trees): "This is the leaf of the Maple tree". "This is the leave of a Birch tree". "See how different they are?"
She started talking in 3 word sentences last month at 18 months. That has to be because we talk to her about everything- no baby talk in our house!
Remember moms: try to LOVE those kids first. I was so intense and such a perfectionist when I started teaching my son reading and homeschooling him, it is a wonder he even wants to homeschool his daughter. I only had one child so I don't have that chance again. They need to know you love and accept them NO MATTER WHAT THEY DO.
Hugs and great luck with math & reading! :-)
Deveney

Hi!
I taught my son how to read using the first edition almost 23 years ago. I recently started teaching his daughter and got the new book. It has a LOT more good suggestions and instructions. I feel both the math and reading updated editions are much better.
They also just came out with the DVD's, which I just ordered for my daughter in law to help her. I think it can be SO intimidating for the first time. I was a perfectionist and thought my son was crazy to want to read so early. I was the one that was wrong. I wish I had started earlier with him because he was crying by the time I finally gave into him. He learned so fast that he was reading on a 6th grade level by 4.
Start with whatever book you have and whatever materials you can get your hands on. Progress VERY FAST and most of all: HAVE FUN!
For those with little money, like i was as a single parent with my son, I would recommend:
-Get the books from the library
-Take notes and make as many instruction cards for yourself as you can
-Start with words or things the child is interested in
-Make homemade books for them to read as soon as they learn the first 10-20 words. (I went faster with my son)
-Buy the book that you can afford: Teach Your Baby to Read, then Teach Your Baby Math.
After that, buy whatever you have money for. When grandparents are supportive, have them give you the books and have them read them as well.
The only books I had for the first several months were the first two. It was much later that I got the others. And I started with library books like you did.
I wish you the greatest fun with your child:-)

Hi! I am new here and am a new grandma. I taught my son to read, at his insistance, when he was four. Now that my granddaughter is trying so hard to read, a gift from her mom who reads to her all the time, I don't want to make the mistake I did with her dad.
Which do you teach first? reading or math? My answer? Both! I feel we should let our children lead. I started my granddaughter around 12 months and i felt that was late compared with how thirsty she was to learn. Now that I have made better cards, have her mom on board, I am going as fast as I can to keep up with my little granddaughter. I have started the dot cards of math and decided to just order the cards because I could not do any more dots 
We are playing and having fun with our babies. (Remember?) We don't need to fall into the trap of "what do I do first?" or "If I do it wrong, will it hurt my baby?"
The only "wrong way" I can see is if we rob them of the fun of learning and turn it into work.
Otherwise, let the "play time" begin! :-)
Enjoy!
Deveney