You do not really need to understand the chlorination chemistry for proper dosing.
What you need to know is:
recommended concentrations of active chlorine (the link or search) in $c_0\ \pu{[mg/L]}$. IIRC it is:
- the permanent/safe bathing concentration $1-3\ \pu{mg/L}$
- shock treatment concentration $5-10\ \pu{mg/L}$,
should be let to drop to safe one before next bathing, at least overnight.
- apply-after-use concentration $2-5\ \pu{mg/L}$,
should be let to drop to safe one before next bathing, at least few hours.
volume of pool water $V \pu{[m3]}$.
(estimated) mass of applied chlorination agent $m \pu{[g]}$.
specific content of active chlorine in the agent. $x \pu{[g/g]}$.
Then you can calculate the applied concentration $$c=\dfrac{m \cdot x }{ V} \pu{mg/L}$$
Imagine you have a pool $\pu{V = 6 \times 3 \times 1.5 m3}=\pu{27 m3}$,
using commonly used trichlorocyanuric acid (TCCA) with 90% of active chlorine. You want concentration of active chlorine $\pu{c = 5 mg/L}$. Then required weight of TCCA is
$$m = \frac{c \cdot V }{ x} = \frac{\pu{5 mg/L} \cdot \pu{27 m3} }{ 0.9} = \frac{(\pu{5 g/L})( \frac{\pu{1 g}}{\pu{1000 mg}}) \cdot (\pu{27 L}) (\frac{\pu{1000 L}}{\pu{1 m3}})}{ 0.9} = \pu{150 g}$$
Therefore $\pu{30 g}$ for each $\pu{1 mg/L}$. You can check on scales how much it is by measuring cups count.
Or you can take the strip result, best with UV/ozone OFF for some time.
Be aware that the chlorine concentration decrease rate is bigger under Sun, at high temperature and at higher content of organic matter.
With intentional UV/ozone off, you may measure by stripes the rate of chlorine concentration decrease after a shock or after-use dose. Then you would know how soon to add another dose after a regular or shock dose. Experienced pool care-taker might eventually learn to estimate current concentration by chlorine smell intensity.
One reason for eventual overdosing can be if otherwise correct doses are applied too soon after prior ones.
Using UV/ozone additional sanitation, my opinion is that you could keep doses rather at their lower range ends.