It is fairly well understood in the preschool years that children need many hands-on experiences as the best grounding for mathematical understanding. However, it is too easy to fall into the trap of thinking that as soon as a child starts school he or she must “hit the books.” There is still a need to manipulate, play and explore concrete materials in the early years and rushing too fast into abstract concepts (ie. “on paper” solutions) to mathematical concepts can hinder a child developing true understanding.
So, with this in mind, do I use a maths programme for my 6 year olds? Yes, but as a spine from which other maths experiences flow. It helps me to know that I am not missing any skills along the way. Those children who have a good grasp of number concepts can skip through very quickly and often will plead to just write out their answers in the book rather than use manipulatives. If I can see that they truly grasp the skills (understanding the why and how of each problem) then they go ahead. Learning styles do differ after all and not everyone needs the manipulatives. However, other children will need to go through basic concepts such as one-to-one correspondence with manipulatives over and over and over and over again!
In the early years we use Math-U-See because it does include manipulatives, has a DVD lesson format which means the children are not dependent on me to give them one-on-one teaching to explain each lesson and has a clean and simple set-out with a good progression from skill to skill. Early writers are given enough space to write large numbers and opportunities to use their manipulatives throughout. When more practise is required, I provide Montessori style hands-on activity trays until the concept is thoroughly grasped before the child continues on in the book.
Reluctant writers and maths:
When a child has difficulty with fine motor control and writing skills it can slow them down in all their subject areas. Maths however is one area that can be easy modified to eliminate this problem. Ask yourself – “Am I teaching handwriting or maths?” Do you want your child to progress in maths or hate every minute of it because they have to sit there laboriously writing numbers in their painfully slow style?
My son would take ages to complete this page if he had to write the answers down, plus I would struggle to read them anyway! Given this inexpensive box of wooden letters, he can work through the problems, calculating some in his head, putting out manipulatives for others and using the wooden numbers to “write” the answers. Quick and easy and demonstrating his understanding of the subject at hand, rather than his handwriting ability.
When more experience is needed with a concept, he works on Montessori style trays such as the one above, giving him lots and lots of repeated practise of the same skill over and over again until it becomes second nature. We made up little stories about customers in restaurants who were sometimes greedy (according to the numbers on the spoons) and he enjoyed choosing the food (jewels) to serve.
With the combination of bookwork plus hands-on trays, my 6 years olds feel that they are doing real “school” like their older brothers and sisters and all ability levels are being catered for. One is zipping through the book at a great rate (she LOVES book work!) and the other is taking a more leisurely course with lots of hands-on experiences along the way. Individual children, individual abilities, individual learning styles. This is one of the reasons why we homeschool after all isn’t it?
Next up: Homeschooling 6 year olds – reading and writing