verb
1
BAD : Her master's thesis was highly estimated and is now being prepared for publication.
GOOD : Her master's thesis was highly esteemed and is now being prepared for publication.
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estimate = calculate an amount or price without being exact: 'The police department estimates that the number of crimes will increase this year by about 15%.' 'At that point, the public sector deficit was estimated to be around £45 billion.' 'The population of Adelaide is estimated at 917,000.'
be highly esteemed/thought of = be greatly admired, especially by a large number of people: 'In the world of fashion, his work is highly thought of.'
2
BAD : Each of us gave a short talk and then we had to estimate each other's performance.
GOOD : Each of us gave a short talk and then we had to assess each other's performance.
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assess = consider something carefully and give an opinion about how good or bad it is: 'Parents should be shown how to assess the quality of a school.' 'This test provides a simple means of assessing an applicant's suitability.'