Assimilation and accommodation are terms that are used to describe people’s train of thought regarding some ideas that they have just learned because of new knowledge. Accommodation means that there is a chance with the ideas that people have remembered for a long time.
For example, you may have this belief since you were a child but now that you have learned something else, you are trying to accommodate the new thought so you can easily adapt. Assimilation will also require you to adapt but the change may take place slowly. The process will be gradual so that you can fully accept the new idea easily.
In psychology and education, scientists have studied how children learn. Certain things go one in our brains that allow us to learn specific skills or how to do certain things. If you have ever used your prior knowledge to figure something out, then you have used assimilation. For instance, if you know that the area is half the diameter of a circle squared times 3.14, you may be able to figure out a word problem in real life where you need to know the area of a circular object.
Accommodation refers to making changes for something to work. If you are scared of a neighbor, then you may make accommodations by going the other way so that you don’t pass in front of that neighbor’s house.