I let my students bring notes to their exams. I'm more interested in what they can do than in what they can write from memory. One year I tried letting my exams be open notes, but the grades went down so badly as a result of students not preparing for the exams that I backed away and settled on letting them bring one page of notes. That way I can reward good preparation, and the students have to consider the topics and what formulas they need to have.
I memorize a lot of things related to my discipline. Memorization makes it easier for me to perform, as well as quicker. Ease and speed though are not what I want to assess. It took me a while to realize that.
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