The debit and credit system doesn't seem to fit with my personal experience with a checking account. The system says debit Cash for deposits (increases) and credit Cash for checks (decreases). However, when I make a deposit, the bank says they have credited my account. When I wri a check or use my debit card, the bank says they have debited my account with the decrease. 

Is the bank using the same system? How do you explain this?