I wonder if any of these people here, besides yours' unruly, have earned a degree in an actual hard science?
The scientific method uses three primary tools to solve problems: reduction, analysis, application. Logical problem solving goes a long way past that but this will get you started.
1. Reduction. Reduce the question at hand to it's essentials. What did you hope to learn: the atomic physics of a germanium capacitor or the way weight settles on a building foundation? Write it down in detail, then cancel out any repeated questions. Add more questions until you know exactly what you are trying to learn.
2. Analysis. Analyze the problem from a logical perspective. Consider previous work, published papers, historical data, eyewitness reports, accident reports, etc. Reduce your analysis to its basics, again, looking for practical effects. Conduct controlled experiments, that others will be able to duplicate. Falsify your work (try your utmost to prove it wrong) and then, analyze your data again.
3. Application. Apply the results of your experiment to the actual thing you were trying to figure out. Test your hypothesis with predictions, that if your theory is correct, nature will bear out significantly. Again, consider only significant results. They may be small, but they will be definite. Measure, quantify. Be utterly objective, and measure everything: guesswork is unscientific at best. We may start out with an unsupported hypothesis (some are scant more than oppressive fraternity pranks -- evolution, for one) and then, argue your point in firm terms that your colleagues will understand. You may have to beat atheists over the head with a 2X6 to get them to believe in your work, but actual researchers -- even at the primary school level -- subject their work to scientific rigor.
Did your procedure solve the problem you worked on? If so, show the results: your word is good enough, if you can back up what you are saying with hard data. If not, then what went wrong? Find that out any way it takes. It can take years of experimentation to prove/disprove your idea. Be patient: the insight and results will come.