General:
* Method: "We need a new method for approaching this problem."
* Strategy: "Their strategy for approaching the market was very successful."
* Technique: "He used a unique technique for approaching his customers."
* Process: "The process for approaching the interview was quite detailed."
Specific to a particular field:
* Methodology: (In research or scientific contexts)
* Framework: (In business or project management contexts)
* Tactics: (In military or strategic contexts)
* Plan: (When outlining steps)
More informal:
* Way: "What's the best way to approach this?"
* Angle: "We need a different angle for approaching this."
* Tack: "I think we should take a different tack for approaching this."
Ultimately, the best noun will depend on the specific situation. Consider what you want to convey and choose the most appropriate word.