Mathematics

Search tips for mathematics

Why research matters in mathematics

In mathematics and related fields, research helps you understand what’s already been tried, avoid known issues, compare methods, and justify your approach. Even great math benefits from good information.

Struggling to find the right sources?

Whether you're using traditional search tools or experimenting with AI, refining your search strategy is key to finding useful, credible information.

Basic search tips

• Too many results? Your topic may be too broad and return overwhelming amounts of information.
• Too few results? You may be using vague or overly specific keywords. Research databases rely on precise scholarly terminology.
• Not sure what keywords to use? Math terms can vary between pure and applied contexts—try synonyms or related terms.
• Hard to connect different ideas? Interdisciplinary topics (like math and biology or data science) may require framing from both angles.
• Not finding relevant studies? Math articles often appear in specialized journals. Use subject-specific databases or ask for help.

How to refine your search

• Define your focus. What kind of problem are you solving? What type of math applies, e.g., calculus, statistics, modeling, number theory?
• Break your topic into key concepts (e.g., "graph theory" AND "transportation networks").
• Use Boolean operators (AND, OR, NOT) to combine or narrow your search terms.
• Look at citations in relevant papers—mathematics articles often build on each other.

Using generative AI in your math research

Thinking about using tools like ChatGPT to support your math work? Make sure you understand what’s allowed and how to use them responsibly:

• Check your syllabus or ask your professor. Not all courses permit AI tool use.
• Review the tool’s privacy settings and terms. Don’t enter personal or copyrighted content.
• Be transparent. If you used AI to help explain a concept or brainstorm a problem, you may need to acknowledge it.
• Use with caution. AI tools can misinterpret math questions or offer incorrect explanations, even if they sound confident.
• You are responsible. Always double-check your work and verify the accuracy of any AI-generated content.
• Use it strategically. AI can help with exploring terminology or structuring questions, but shouldn’t replace your own reasoning.
• Reproducibility matters. If AI tools shaped your work, explain how they were used.
• Stay informed. MRU’s guidance on AI use is evolving. Check for updates or ask your instructor or librarian.

Tips for checking AI-generated information

• Improve your prompt. Ask specific questions, and clarify what kind of answer you want (e.g., a definition vs. a worked example).
• Cross-check claims. Confirm results using your course materials, textbooks, or credible math resources.
• Look up real references. If AI suggests a source, make sure it actually exists and is appropriate for academic use.
• Ask follow-up questions. If something sounds off, ask the AI to explain step-by-step—mistakes often reveal themselves.
• Start with trusted material. Use AI to help review your own notes or test ideas—not to generate full solutions.
  Reminder: Only paste in content you own. Don’t upload full assignments or textbook questions.
• Check for evolving guidance. Policies on academic use of AI may change. Refer to MRU’s Generative AI page for updated information.

Some guidance adapted from McGill Library’s guide on Using AI Tools in Research.