Why is his dad considering the coaching job offer? How does their mom feel about it? Why?

Dad is considering the job offer because he feels he needs to be back on the court, the basketball court to be fine.

Their mother doesn't agree with it. She fears the stress will only induce his heart condition and could turn worse for them, even leading to his death like their grandfather.

Explanation:

Kwame Alexander's "The Crossover," tells the story of Josh and his twin brother Jordan Bell. The unique way of telling the story, like a poem, also revolves around the theme of basketball.

In the chapter "Behind Closed Doors", Josh reveals his parents' talk about his dad's new job offer. The twins' father Chuck Bell had been famous in his days in the field of basketball, being nicknamed "Da Man". And in the section "I ran into Dad's room", Mr. Bell revealed, "I got a coaching offer at a nearby college starting next month." He wanted the job because he wants to be "back" on the field, on the basketball court.

Their mother, Crystal Bell, who is also the Assistant School Principal, greatly disagrees. She worries for her husband's health, as his father has also died because of a heart attack and was scared of that happening to her husband, Mr. Chuck Bell.

apprenticeships are formal, paid, long-term training programs that provide valuable classroom instruction coupled with on-the-job training for skilled, high-paying jobs.