Undergeneralizing:
Not using order of operations when it is needed just because the equation doesn't have any parenthesis
Overgeneralizing:
Thinking that every math problem is order of operations just because it includes addition
Exemplars:
(4*23)+128-4*12
Order of Operations should be used to solve this. You would first do 4*23, then 4*12, then the parenthesis plus 128, then that answer minus the answer to 4*12.
Non-exemplars:
48*12*100*14
You do not need Order of Operations in this equation because no matter the order you solve it in, the answer will be the same.
Prototype: 120*4-30+4
This is a simple example of Order of Operations and it is easy to identify what needs to be solved first
Defining features:
-The equation must be solved in that order or the solution will be wrong
-Only used when evaluating an equation
-Does not need each part of PEMDAS
Correlational features that might lead to misconceptions:
1. When solving fractions with exponents, there are steps that must be taken first
2. When it is a problem of just addition and subtraction it doesn't matter the order
3. Multiplication and division have the same rule
