All About Mathematical Stages

Your older child may struggle with math or your younger child doesn't understand a concept in mathematics books. This could be due to them not having completed a mathematical stage. 

The natural development of a child’s thinking is represented by three stages in mathematics. Your child will have problems if a stage is missed while learning a mathematical concept. For strong mathematic fundamentals, you can also take the help of math textbooks.

The manipulative stage is the first stage of mathematical learning. It involves children using real objects to help them understand mathematical concepts. The manipulative stage is the foundation for all other math skills. Your child must learn math with real objects.

The manipulative stage is where a child observes and learns about:

There are many things to do.

  • The size of things

  • The shape of things

  • The pattern of many things

The mental image stage, which is commonly used in conjunction with the manipulative stage, is the next mathematical stage. It can be used until twelve years of age.

If your child claims they don't understand a math skill, likely, he cannot imagine the concept mentally. This problem can be solved by giving your child lots of manipulative practice so that he can easily switch between the manipulative and mental image stages in a math skill.

The abstract stage is the last. This stage doesn't require children to have a mental picture to comprehend a concept. They can comprehend the number 8 without having to see eight things in their minds. This stage is more common for upper mathematics courses such as algebra and geometry than elementary mathematics.