Step 1: Write the open chain structure of D-arabinose, an aldopentose: \( CHO-CHOH-CHOH-CHOH-CH_2OH \), numbered C1 to C5.
Step 2: A carbon is a stereocenter only if it is tetrahedral (sp3) and carries four different groups.
Step 3: C1 is the aldehyde carbon (\( CHO \)); it is not tetrahedral, so it cannot be chiral. C5 is \( CH_2OH \); it carries two identical hydrogen atoms, so it is also not chiral.
Step 4: C2, C3 and C4 each carry an \( -OH \), an \( -H \), and two different carbon chain fragments on either side (the chain differs in length and substitution going toward C1 versus toward C5), so each of these three carbons is a genuine stereocenter.
Step 5: Counting C2, C3 and C4 gives the total number of chiral carbons in D-arabinose.
\[ \boxed{3} \]