The PMBOK definition of project planning is accurate, complete, and logical. The confusing element is that in our real-life experiences, we simply have not thought about each of these steps in the same way as PMI. It is also possible that we, as project managers, simply execute these steps naturally (or in rare circumstances, perhaps this level of diligence is not always exercised during project planning).
describes how PMI defines the core project planning process, and the content in this table describes what depicts. Note that provides references back to where these processes can be found in the PMBOK. Pay particular attention to the PMBOK reference terminology.