Sudoku coordinates describe locations, not values. Number the rows from top to bottom and the columns from left to right. The notation r3c7 means row 3, column 7. It refers to the same cell regardless of the digit eventually written there.
To find r3c7, first trace the third horizontal line of cells. Then count across to the seventh cell. Keep the two steps separate until the notation feels familiar. Reversing the order in your head can send you to r7c3, a different location with different constraints.
Boxes are usually numbered in reading order: the upper left box is 1, the upper middle is 2, and the upper right is 3. The center box is 5. Box numbering is helpful shorthand, but always explain a box's location when sharing a hint with a new solver.
Try this quick orientation exercise on an empty grid. Point to r1c9, r9c1, r5c5, and r7c4. The first two are opposite corners. The third is the center cell. The fourth sits in the lower middle box. No puzzle solving is needed to practice navigation.
When recording a deduction, include both coordinate and value: "r3c7 = 5." When recording possibilities, use braces: "r3c7 {2,5}." Keeping these forms distinct prevents a candidate note from being mistaken for a completed entry. Coordinates also let you stop, return later, and describe exactly where your last reliable deduction occurred.
Sources & notes
Original puzzle teaching and explanation by Evan Tessell.