In the sentence for example: This book would also interest intelligent students with a taste for abstract ideas and theoretical arguments. What does the phrase "abstract ideas" mean? I looked up ...
Federal Student Aid provides resources to help students manage loans, apply for aid, and access information about repayment options.
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The most vital step in applying for federal grants, work-study, and loans for college is the Free Application for Federal Student Aid (FAFSA ®) form.
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In the same way, using "for" in ideas on improving the team means you support improving the team while using "on" doesn't necessarily mean so. It's all connotation and subconscious language use and effects.
"Ideas on" vs. "ideas for" - English Language & Usage Stack Exchange