Participate in science fair.
The scientific method encourages logical and strategic thinking processes. The reporting is far different from writing an essay or a research paper and worthy of practice – especially if your student is strong in math and science. The behavioral studies can be fascinating. Perhaps a student could do a study proving why one-on-one education is more effective or how homeschoolers are strong socialites. 🙂
So, ask a question, do some research, develop a hypothesis, conduct some experiments, analyze your data, draw a conclusion, and communicate your results in light of your hypothesis!