Topic: Quantitative Problem Solving

math

Solve quantitative problems efficiently

Avoid endless, ineffective problem-solving. Our Quantitative Problem-Solving resources are thorough and will help you make better use of your practice problems and avoid common problem-solving pitfalls.

Looking for something short and sweet? Read our quick tips for problem-solving.

If you prefer using shorter tools or if you already know what you want to learn about, feel free to open one of the following tools.

Note that, since the above are pieces of the larger document, some internal links may no longer work in the individual tools. If you would prefer anything in .Docx format or another accessible format, please email us and we can send it along.

colourful polyhedrons

Quick tips for quantitative problem-solving

1. Solving problems tests your ability to apply theoretical concepts. Both abstract thinking and computation are required.

2. Most courses have only a few key concepts that will reappear in novel contexts. Look for the “spiral of learning”: identify and understand these concepts deeply.

3. Organize concepts to see connections, and improve recall.

4. Use a systematic approach to stay focused, isolate errors in logic or computation, and reduce the panic.

5. Read to define the question fully: what is known? unknown? asked for? what is the significance of each different part?

6. Solve what you can initially. Think about problems using the same concepts (Newton’s 2nd Law, complementarity in base- pairing, equilibrium and Le Chatelier’s principle, net asset) that may use similar methods of solution.

7. In class: pay attention to the steps the prof. follows (the thought process) in addition to the computations.

8. Describe your thoughts as you solve a problem. Monitor yourself: are you on task? Do you remember your purpose in doing “x”? What’s the next step?

9. Work with a good problem solver and compare your thought process to theirs.

10. Working in groups can be helpful to share ideas, but do some of each problem type yourself…exams are solo events!

11. STOP if you plug in an equation that has the exact variables as the problem. Focus on identifying concepts…not memorizing formula.

12. STOP if you try to use solutions from other problems that don’t apply. Focus on identifying underlying concepts first.

13. Set time limits for homework questions (20 minutes??) and get help if needed.

14. Keep up with the homework…this material is taught sequentially.

15. In labs: relate experiment or process to problems in class. Do specific equations describe phenomenon being observed in the lab?

16. Check your work using a different method, if possible.

 

Return to Strategies and Tools

First photo courtesy of Clay Shonkwiler and second photo courtesy of fdecomite under the Creative Commons Attribution-Non-Commercial-No-Derivations 2.0 license.