From Time magazine on the enduring myths and false history (no they didn't fight till the last man and it wasn't about freedom) taught in Texas schools.:
"So much of what we “know” about the battle is provably wrong. William Travis never drew any line in the sand; this was a tale concocted by an amateur historian in the late 1800s. There is no evidence Davy Crockett went down fighting, as John Wayne famously did in his 1960 movie The Alamo, a font of misinformation; there is ample testimony from Mexican soldiers that Crockett surrendered and was executed. The battle, in fact, should never have been fought. Travis ignored multiple warnings of Santa Anna’s approach and was simply trapped in the Alamo when the Mexican army arrived. He wrote some dramatic letters during the ensuing siege, it’s true, but how anyone could attest to the defenders’ “bravery” is beyond us. The men at the Alamo fought and died because they had no choice. Even the notion they “fought to the last man” turns out to be untrue. Mexican accounts make clear that, as the battle was being lost, as many as half the “Texian” defenders fled the mission and were run down and killed by Mexican lancers."
and
"And Mexican-American history isn’t the only piece of the past that’s distorted by the Alamo myth. Academic researchers long tiptoed around the issue of slavery in Texas; active research didn’t really begin until the 1980s. Since then, scholars such as Randolph Campbell and Andrew Torget have demonstrated that slavery was the single issue that regularly drove a wedge between early Mexican governments—dedicated abolitionists all—and their American colonists in Texas, many of whom had immigrated to farm cotton, the province’s only cash crop at the time."
A good synopsis of the myth can be found here:
https://time.com/6072141/alamo-history-myths/
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