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I am not sure of my answer but I believe " assess " means to record the progress of someone's work within a certain time period according to a rubric and criteria ...whereas " estimate" means to give an unsure value ( grade /mark ..etc ) without regulating yourself to a set of criteria ...
" Evaluate" means to give a value /grade according to crtieria right away ...like after a person is evaluated after an interview to see how proficient and knowledgeable he/she is ......
assess vs evaluate vs estimate 
Re: assess vs evaluate vs estimate 
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