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Mathematics

Guide for any students in a mathematics course pursuing research.

Search Strategy (visual)

Conceive, organize, keywords, start broad, analyze and reassess

The Search Strategy Process

start with abstract, introduction and discussion/results

What are the parts of an article?

Search Strategy and Tips

  • Conceive: what’s the assignment? What will your topic be?
  • Organize: what are you looking for? Historical information, current information, statistical data, peer reviewed article?
  • Keywords: break your topic down into keywords or concepts.  Once you have keywords, find synonyms for those words and phrases. How can you combine them?
  • Start Broad: start your searching with one or two keywords (broad topic) and narrow your search as you go with additional terms, altering what years of publication you’re looking for, only looking at peer reviewed articles, etc.
  • Analyze: scan the results of your search to see what kind of articles you’re getting with your searches. If you’re finding good articles, look at those articles keywords and subject headings that were used in their records – these will help as you continue your search.
    • If you’re not finding anything exact, find something close and try those keywords and subjects
  • Reassess: if you’re not getting the results you’re looking for, you may need to change your searches, broaden or narrow your topic, or change your topic.  Ask for help if you’re not sure what your best option is.
  • Restart: research is a cyclical process, you may need to start from scratch or just from an earlier step like choosing new keywords.

Keep track of your search and your results. Remember research is a process and you may try many things before you find what works best for your topic.

Keep track of your search terms and jot down other words you find while perusing the articles that result from your searches.

The "search history" option under the search box can also help with that.

Email, print, or save articles that might be useful for your research, even if you're not sure that you're going to use them.

If your topic is: 

Discuss symmetries of differential equations. 

 1. Identify keywords or phrases:       

    symmetries      differential equations

 2. Explore synonyms for your keywords/phrases:

    Symmetries:  reflectional symmetry, symmetry, point reflection, involutive isometries

    Differential Equations: ordinary differential equation, partial differential equation

3. Use these terms in your search. Combine the synonyms with the word "or".

For example: Symmetries OR Reflectional Symmetry OR Point Reflection

Combine the synonbymes with the word "and".  The below example is good for advanced searches where each search bar would contain one of the "OR" strings (below in paranthess) and the "AND" would be the word linking both "OR" strings/text boxes.  Parantheses can also be used to limit what the computer lumps together so in the first half it would only search those versions of symmetries and the second would search differential equations instead of searching for anything with symmetries or differential equations instead of searching for both terms. Check out the Boolean box (lower right corner of this page) for more.

(Symmetries OR Reflectional Symmetry OR Point Reflection) AND (Differential Equations OR Partial Differential Equations)

4. Make use of the Subject Headings option on the left of your screen to find appropriate subject headings for your topic and use them in a search

 The more familiar you become with your topic, the better your keywords will be.

Remember to search in the advanced search mode

Enter your 1st keyword(s)/phrase(s) in the first line (here symmetries).

Your second concept in our example is differential equations. Enter that key phrase and any synonyms in the second line of the search box. Your search results should then include both concepts somewhere in the record.

You can add as many concepts as you like - all databases and the library catalog will allow you to add more than the default 3 fields when you're in advanced search.

Once you have collected some articles, take a closer look at them.

Read and review what you have. Do you have enough information to support your topic?

If you don't like what you have or you don't have enough good information, go back to your search. Try some new keywords or a different database.

Explore some of the subject headings from the articles that you do want to use.

If some of your articles have bibliographies you might want to look at some of the sources listed in those bibliographies.

If you're stuck -- ask a librarian for help.

Reading these sections of an article/book will help you determine if the item you're looking at is relevant to your research.

  • Abstract: This is a summary of the article/item and will give you a good idea if it will be of use. This is the only part that will be in the item record and in the article. 
  • Introduction: This will tell you the history of the topic and the goal(s) of what you’re reading.
  • Methodology: How did they approach the topic/their research? *May not be included.
  • Literature Review: Summary of similar or previous research on the topic. *May not be included.
  • Discussion/Conclusion: The results of what they found and their implications.