access / use / discharge
(access / use) concerns accommodation;
(use / discharge) concerns a displayed weapon
keywords: linguistics, distinctions

The wider the passageway to the antechamber of learning, the narrower the passageway from the antechamber to the hall.
Hence:
1. Euclid’s vain attempt to teach the king Geometry;
2. why learning mathematics is based on humility;
keywords: education, instruction, training, accessibility

Parity of an integer concerns whether the integer is even (or odd), and it is well to be aware of some parity-related results, for example, the fact that the sum of any two odd numbers is even.
keywords: division by 2, dividing by 2, evenness, oddness, Mathematics, Number Theory

The mathematical structure specific to the set of integers is called the ring of integers.
keywords: Mathematics, Abstract Algebra, divisibility

Gatekeepers are typically burdened with tracking.
keywords: education, instruction, training, status

Who you start out with in life is not as important as who you end up with in life.
keywords: social relations, psychology, friends, acquaintances

It’s commonplace for an EL to get mugged by a pair of homonyms (their/there; waste, waist; etc.).
keywords: education, instruction, training, ESL, language barrier