Why Some Patterns Are Harder Than Others: What Primary Students Really Struggle With

Dec 19, 2025·
Frank Reinhold
Frank Reinhold
· 1 min read
Being able to continue a pattern does not necessarily mean understanding its structure. Image © Pixabay / Andrew Martin

Patterns are often called the heart of mathematics, but recognizing a pattern is more complex than it seems.

In a study with 387 students from Grades 1–4, we found that pattern recognition involves three distinct abilities:

  1. Continuing a sequence in any regular way
  2. Identifying the repeating unit in incomplete patterns
  3. Recognizing growing structures (e.g., one more each step)

These abilities develop unevenly. While most students can produce some regular continuation early, deeper structural understanding is much harder. Even in Grade 4, over 20% struggle with incomplete repeating patterns and more than 60% fail to recognize additive growth patterns.

We also found that pattern difficulty is not determined by the length of the repeating unit. Instead, tasks become harder when more different symbols are involved.

Takeaway: Being able to continue a pattern does not necessarily mean understanding its structure.