Something about home schooling.
How we learn is fascinating. Children are especially interesting, as in the early years progress is easy to witness. How they have that ‘Helen Keller by the water pump‘ moment and grasp that everything has a name. They instinctively sort and group in a subtle way (e.g. Serena, Julie and Deborah are their names but they are also called ‘girls’ and can be grouped together despite variations in size, age and appearance) I don’t really understand how my children learned to tell cats from dogs, they didn’t need a flow chart, they just looked when I said “cat” or “dog” and absorbed.
All this maths starts so young. When C was tiny she saw three bags on the floor. She called them Mummy, Daddy and Baby, she would often ‘count’ groups of three like this. It felt significant, because if we took one away while she wasn’t looking, she would know it had gone, she would know the group had lost it’s ‘threeness’. All part of “one to one correspondence”.
I do like workbooks because they give me a feeling of blithe progress, but it’s this kind of understanding that I am always reaching for with the children. It has meaning and utility.