Rows and columns can seem simple until students need to use the language quickly. Some students count the objects correctly but mix up the direction words, which then makes arrays, tables and grid work harder than it needs to be.
The Daily Maths Review rows and columns app keeps visual arrays on screen while students decide whether they are looking at a row or a column, then count how many rows or columns are shown.
Start with direction
Before students count, ask them to name the direction. A row goes across. A column goes up and down. This small language routine makes the later counting question much clearer.
- Use row-or-column questions when students are still learning the vocabulary.
- Use how-many questions when students can name the direction but need counting practice.
- Use mixed practice when students need to switch between identifying and counting.
- Ask students to point across or up-and-down before they choose an answer.
Connect the language to arrays
Once students can name rows and columns, it is easier to describe an array. Pause after a few questions and ask students to say the whole structure aloud, such as four rows with six in each row.
Run three row-or-column questions, switch to how-many questions, then ask students to describe the whole array using rows and columns.
Use errors to choose the next model
If students mix up rows and columns, return to physical counters or a drawn grid and trace the direction. If students know the direction but count incorrectly, slow the count and mark one row or column at a time before returning to the app.