| # | Concept | Culture | Statement | Freq. |
|---|---|---|---|---|
| 1 | mathematical proof | Western countries | Considered essential for rigorous mathematical understanding and academic success | 1 |
| 2 | mathematical proofs | Western countries | Emphasis is placed on teaching students how to construct and understand mathematical proofs. | 1 |
| 3 | mathematical proofs | Western cultures | Considered essential in the education of mathematicians and scientists | 1 |
| 4 | mathematical proofs | Western cultures | Seen as a means to establish the truth or falsity of mathematical statements | 1 |
| 5 | proof by contradiction | Western countries | A widely accepted method for proving mathematical theorems | 1 |