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Levels of Learning Mathematics

This resource was developed by Appalachian State University. According to the resource description:

“The term ‘level’ refers to the order that information presented mathematically is processed and learned. Mahesh C. Sharma, in ‘Learning Problems in Mathematics: Diagnostic and Remedial Perspectives’ states that ‘almost all mathematics teaching activities, in most classrooms, take place at the abstract level. That is where most textbooks are; that is where most of the tests and examinations are.’ For students who have not mastered particular math content, he proposes the following order or ‘Levels of Math’ as effective for teaching mathematics: intuitive, concrete/experiential, pictorial/representational, abstract, applications, and communication. The chart below explains each level and gives an example of what that level would look like in the classroom.”