What this museum lacks in deep historical context, it makes up for in the sheer breadth of coverage of Texas history, and easy accessibility of the exhibits. I'm not a huge fan of dioramas and mannequins, but I think they're employed well here, especially for reaching children with short attention spans. The movies are relatively well done and don't seem dated, and most exhibits are laid out in a logical progression.
What raises this place to Very Good for me is that it avoids what so many other history museums do, and generally stays away from sentimentality or cheer leading. For example, Indians are not savages, noble or otherwise. The exhibits about them are neither filled with ra-ra Manifest Destiny, nor dripping with white guilt. This has the effect of humanizing individuals in a way that most museums fail to do. The same is true of the exhibits on Black Texans, Tejanos, and (most importantly) the Civil War.
While many museums fall into lazy cliche and even lazier moralizing, the Bullock mostly avoids that. It makes it a heck of a lot easier to learn and enjoy at the same time.
One last thing. The Imax here is extremely reasonably priced for first-run movies after hours. I saw Star Trek 2 here in 3D on opening weekend, and it was only $12 or so. Come visit the museum, then catch the latest blockbuster after closing--that's a great way to spend a Saturday in my book.
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