appraise, assess, evaluate

assess

• 评估人的能力、物的质量或属性

Exams are not the only means of assessing a student's ability.
The insurers will need to assess the flood damage.

• 后面跟疑问从句：

We are trying to assess how the system works.
It's difficult to assess whether this is the new trend.

• 后面跟'as + 形容词' 表达一种看法

I'd assess your chance as low.

• 后面跟'at $100' 表示估价

They assessed the cost of flood damage at $10,000.

appraise

• 包含主观或情感的评价

an appraising glance/look
He coolly appraised the situation, deciding who would be most likely to succeed.

• 正式的评价工作绩效

Teachers are asked to appraise their own performance.
Managers must appraise all staff.

• 以专业的水准进行估价

They appraised the painting at $20,000.

evaluate

• 经过思考后的判断。此时与appraise类似，但不像appraise包含有主观感情成分，它只是表达研究后给出判断，如果涉及到科研领域，应该用它而不是appraise

We need to evaluate how well the system is working
It's impossible to evaluate these results without knowing the research methods employed.

• 数学领域的求值

evaluate this expression