In the $19$th century, oxidation numbers were not known. The oxidation was the reaction of a molecule or an atom with $\ce{O2}$. Every chemist would say that, when burning, methane is oxidized into $\ce{CO2 + H2O}$. When studying this reaction, nobody was ready to consider that only one atom could be oxidized. Oxidation was the reaction of the whole molecule. There are still people today using the word "oxidation" with this definition.
Of course today the notion of oxidation has been extended. An oxidation is not necessarily a reaction of $\ce{O2}$. And oxidation numbers have been introduced. I will not develop this well-known question here. Of course when burning methane, the Carbon atom is oxidized.
But I would like to add here a personal observation. In my country, there are two sorts of high school teachers. Most are teaching that in the $\ce{C-H}$ bond, the $\ce{H}$ atom is at the oxidation number $+1$. But some are teaching that the difference in electronegativity between carbon and hydrogen is so small that the $\ce{C-H}$ bond may be considered as non-polar, so that in hydrocarbons, both $\ce{C}$ and $\ce{H}$ atoms are at the oxidation number zero. In a hydrocarbon, all atoms are at the oxidation number zero. For these teachers, both $\ce{C}$ and $\ce{H}$ atoms are oxidized in the methane combustion.
I would be interested to hear what you think of this strange situation.