A recent example from this AFP article:
But China still regards Taiwan as part of its territory awaiting reunification, by force if necessary, although the island has governed itself since the end of the civil war in 1949.
This stock statement is not as bad as some, but the last part of the statement is gravely inaccurate. Yes, there was a civil war in China, but Taiwan was not a part of it. For nearly the entire Chinese civil war, Taiwan was a part of Japan and administered by the same. In 1949, when the Chinese Nationalists lost the war, Japan was still the de jure sovereign pending the peace treaty (which was signed in 1951 and went into effect in 1952). Republic of China forces were in belligerent occupation on behalf of the Allies following Japan's defeat in 1945. Sovereignty over Taiwan had not been transferred to China by 1949 (and in fact, never was transferred to either entity claiming to be China.)
The problem is that the island did not govern itself from 1949. Taiwan was governed by an alien regime in exile from China. The island was run by and for the exile population that came from China primarily in 1949. Chiang Kai Shek and his son Chiang Ching Kuo ran the island with very limited input from the local population of the island. The elder Chiang instituted a White Terror on the people of the island, targeting anyone who questioned the legitimacy of the KMT single-party rule of the island. The Legislative Yuan and National Assembly were comprised of people elected in China (not in Taiwan) and they aged through the decades in exile, leaving to the absurdity of shrinking numbers in both bodies as those members died, not to be replaced under the excuse that they represented areas that were controlled by "Communist bandits".
I will set out the legal explanation for Taiwan's status in a later post. However, a little honest research by the wire services would result in a better stock statement regarding Taiwan's historical relationship with China. Unfortunately, such news wires seem to be too lazy for the task.