I have tried several different math approaches in my last 14 years of homeschooling… Saxon, Singapore, Horizons, Abeka… I have never seen anything as good as the combo I am using now, which is Life of Fred along with Miquon. My daughter is turning 6 this week and has just been through her first year of doing formal “schoolwork” and I am so impressed with what she has learned. She is doing addition, subtraction, multiplication, division, fractions, telling time, ordinal vs. cardinal numbers, understands the concept of infinity, knows what perpendicular means, can write a set correctly and understands what it means, and on and on and on. No, she cannot rattle off a times table yet or even an addition table for that matter, and I’m not sure that she could just grab a Horizons math book and start filling out pages… but I can see that she truly *thinks* math and understands it. My older kids can tell me what 2×8 is because they have memorized it. This one looks at 2×8 and says, “so that’s two eights, right?” And then she adds 8 and 8 on her fingers. That may not sounds really impressive to you, but it is to me as I have seen all four of my older kids struggle to think mathematically and to really understand what they are doing. I really think that this is all because of having the verbal explanations from LOF along with the hands on manipulation of Miquon. So, all of that is just meant as my wholehearted endorsement for FRED, but use it along with something hands-on and concrete.