Before you can read 2Mg+O2→2MgO and know what it says, you need to earn every mark on the page. We go from the smallest scribble (a letter) up to the idea of electron transfer. Nothing is used before it is drawn.
Look at the first figure. The formula H2O is not "H times 2 times O" — the little sinking 2 ("subscript") means "two hydrogen atoms are stuck inside one unit of this substance."
A subscript after a symbol counts that atom: O2 = two oxygen atoms bonded together.
A subscript after a bracket multiplies everything inside: Ca(OH)2 = one Ca, two O, two H.
Why does the topic need it? Because atoms are never lost, the left and right of the arrow must have equal atom-counts. The only dial we are allowed to turn is the coefficient — see Balancing Chemical Equations.
The arrow often carries little labels that tell you what energy pushed the change — vital for decomposition (see Exothermic and Endothermic Reactions and Electrolysis).
Electrons are tiny negative particles. Take one away from a neutral atom and it's left positive (+); add one and it becomes negative (−). The superscript number says how many electrons' worth of charge.
Ions are the raw material of Acids, Bases and Salts and of every double-displacement swap, because in water ions drift apart and can re-pair with new partners.
Why invent a pretend charge when real ions already have one? Because in molecules like H2O the electrons are shared, not fully handed over — there's no real ion. Oxidation number is a fair accounting trick so we can still track which way electrons leaned and thus spot electron transfer. Full rules live in Oxidation Number Rules; the starter kit:
Why does the topic need a list and not a formula? Because "will A kick out B?" has no equation — it's decided by who is more reactive, and that order is measured, then memorised. Details in Reactivity Series of Metals.
K>Na>Ca>Mg>Al>Zn>Fe>Pb>(H)>Cu>Ag>Au
Read it like a ladder: whoever stands higher wins the electrons' company and shoves the lower one out of its compound.
(aq) is the key one: it means "these ions are floating free in water," which is exactly the condition under which partners can swap. A product marked (s) appearing from two (aq) reactants is a precipitate — the ↓ situation from Symbol 2.