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Like the mathematician, the expert teacher takes audience considerations into account—"This subset of what I know is appropriate for these students".
While "part of him" wanted to address it, audience considerations, the general mathematics class not requiring it and the fact that they had "grasped the concept [of the periodicity] quite well," caused him not to follow it up.
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Which sounds, at least in part, like an audience development/marketing consideration to me.
Plays always come out of not understanding something, then investigating the stuff outside you, and gulp, the stuff inside you – until you at least have a proposition, a provocation to present for an audience's consideration.
Ultimately the biggest questions are left for the audience's consideration: What is faith?
Damián Ortega, another artist working in Mexico City, shares this Duchamp-ian impulse and encourages audience's consideration and participation.
Take the audience into consideration, too.
Take your target audience into consideration when naming your blog.
When you prepare a speech, it is important that you take your intended audience into consideration.
Also take the taste level of your audience into consideration when deciding if a joke is going to be offensive.
Play around, try new things, be creative, but always take your audience into consideration or all of your hard work will be for nothing!
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com