I'd worked the Space Shuttle program in the mid-80s, about 2 years worth. I left the program in late summer, 1985. Challenger blew 5 months later, on January 28th, 1986.
When I first heard of it, I was more angry than shocked (as most people were). It had almost happened before. And, I had a general understanding of the bureaucracy that was NASA (and still is). My anger was based on the schoolteacher being aboard. I knew that spaceflight on the shuttle was dangerous and not yet ready for the frivolity of putting just anyone aboard.
Soon after the disaster, and talking to people I still knew in the program, the rumor came out that part of the pressure to launch that day, in 36-degree Fahrenheit weather, with icicles hanging off the ship, came from the White House. President Reagan wanted to do a live hookup with the schoolteacher during his State Of The Union address. People who are younger than, say 35, may not realize the extent of the popularity of Ronald Reagan at that time. Reagan never fooled me, not even when he was running for office and I was a 22-year-old kid, but he definitely knew how to play that role of President to the nth degree. Most emotive President ever. Best reader of a teleprompter. Expert at delivering a canned speech, because, as an actor, he knew just when to pause, how to phrase, how to affect the perfect tone and mood. It was all a charade, but America bought it for the most part. That kind of popularity can encourage arrogance. A publicity stunt such as the Prez-to-Shuttle live talk during his 1986 SOTU address is absolutely characteristic with his administration.
I'm not definitively saying Reagan was partly responsible, but there it is.
Here's more from someone eminently more qualified:
http://www.richardccook.com/