If your older child is struggling with math, or your younger child just doesn’t seem to understand a math concept, it may be because they skipped over a mathematical stage. There are three mathematical stages that follow the natural development of a child’s thinking. If a stage is skipped over while learning a mathematical concept, your child will start to have problems.
The first mathematical stage is the manipulative stage, and as the name suggests, it involves having children use real objects to learn mathematical concepts. The manipulative stage is foundational to everything else a child does with math, so it is very important to teach your child math using real objects. If you skip this crucial step, your child may have problems with math down the road. Don’t require memorization of math facts at this stage, just let your child acquire as much practice as possible with physical objects.
Within the manipulative stage, a child will observe and learn about:
• the number of things
• the size of things
• the shape of things
• the pattern of many things
Once your child has had enough practice and experience with real objects, he will be able to imagine objects mentally without seeing or touching them. This next mathematical stage is the mental image stage which is often used along with the manipulative stage until the age of twelve or so.
If you are teaching a math skill and your child says they don’t understand it, the most likely problem is that he can’t imagine it mentally. The way to solve this problem is by providing your child with lots of manipulative experience so that he can naturally make the switch from the manipulative stage to the mental image stage in a particular math skill. » Read more: The Three Mathematical Stages Your Child Needs in Order to Succeed in Math