Nee1-
Regarding Singapore maths- we actually have both sets, the EarlyBird A and B, the Essentials, and the accompanying activity books. Here is the thing. There is not a tremendous difference in the type of materials and difficulty level. But I found quite a big difference in presentation styles! If I had an older Preschooler, definitely essentials. But we started these when Alex could barely hold a pencil properly, and found that the EarlyBird is very nearly perfect for toddlers and preschoolers not proficient in writing or cutting. They have beautifully colored pictures, and the illustrations themselves are very toddler friendly, like barn scenes.
We found it very simple to adapt to an extremely young child. Many of the activities we just talked about and she would point to things. I also like that many things just involved circling, drawing a connecting line, or ‘x-ing’ out. I took all of the pages out and put them in a binder with plastic protectors as she really liked going through some things again and again like a book.
For me, one of the best parts about the Singapore EB program are the optional set of accompanying readers. These are a set of classic story readers (like Goldilocks, Hickory, Dickory Dock, etc.) that have been supplemented with additional math concepts…for example, in ‘Goldilocks’ they stress the size differences like large, medium, small, have added clocks to the wall to teach time and sequencing, patterns throughout (Papa Bear has squares on everything, Mama Bear has Rectangles, Baby Bear has hexagons)…every time I read these we discovered a new little detail. There is actually a chart to show which of the story books are used with each lesson, but Alex actually enjoyed doing all of the concepts as we read the books…they could be used with Essentials as well:
http://www.singaporemath.com/Kindergarten_Math_Readers_PER_SET_of_10_books_p/krdaset.htm
We have really found that almost all of the math programs we play with/do can be adapted for the very young toddlers with a bit of creativity! Alex will use her fingers, tally sticks, an abacus, number stamps, etc. To show answers versus writing them, following RS methods. I also made her a set of math manipulatives ala Jones Geniuses…I took a set of Melissa and Doug wooden/magnetic numbers, then added the correct number of dots to each, according to Dr. Jones’ dot system. (I did this by using a black sharpie to color self-adhesive labels, then a hole punch to make perfect circles to adhere to the numbers). The set also comes with the four major operation signs and an equal sign, so these live in the kitchen to ‘play math’ when I am in there. We also use them on a cookie sheet for equation work, place value, greater than/less than, etc…
http://www.melissaanddoug.com/magnetic-wooden-numbers-learning
Oh! In the very early days we used a rollout vinyl number line to practice ‘hopping’ counting forwards, backwards, skip counting, addition, subtraction, etc…we still break it out on rainy days!
http://www.learningresources.com/product/step-by-step+number+line.do?sortby=ourPicks&sortby=&&from=Search
Not to mention, places like discount school supply sell LOADS of chunky teaching tools like child-appropriate measuring tapes, beakers, graduated cylinders, you name it for hands on teaching of concepts like measurement, volume, etc…
Hope this helps a bit…