Student and Teacher Resources
Working With Numbers in the Social Sciences |
Reading and Writing Mathematical Proofs - References and Links
| Introduction to Mathematical Proofs | ||
| 1 | Features of Proofs | A list and description of main features commonly found in proofs. |
| 2 | Example 1 | A proof that there are infinitely many primes. |
| 3 | Example 2 | A variation on the triangle inequality. |
| 4 | Example 3 | A proof that it is possible to count the positive rational numbers. |
| Various Proof Structures | ||
| 5 | Proof By Induction | A description and worked example of the well-ordering principle and proof by induction. |
| 6 | Examples | A worksheet with statements that can be proven by induction. |
| 7 | What is wrong with this proof? | An example of induction gone wrong. |
| 8 | Implications and Related Statements | A description of Implication, Contrapositive, Converse, Inverse, the relationship between these and universal/existential quantifiers. |
| Miscellaneous | ||
| 9 | Glossary | A glossary of useful terms. |
| 10 | Common Symbols | A short list of symbols that are commonly used to convey a mathematical argument. |
| 11 | Style Guide | A guide that describes the differences between rough work and a polished solution with respect to style and organization. |
| 12 | The Markers' List | A list of helpful hints generated by TAs from MAT157 and MAT246. What are they looking for in a well-written proof? Read this document to find out. |
| 13 | Bloom's Taxonomy | An interpretation of Bloom's Taxonomy in the context of mathematics for the purpose of creating test questions (for instructors) and studying for tests (for students). |
| Links | ||
| 14 | Translations | A list of translations of math symbols into English on Wikipedia, appearing here specifically for ELL students. |
| 15 | How To Write Proofs | An introduction to mathematical proof writing by Larry W. Cusick, professor at California State University. |