The links in the stickies are missing. Normalizing is heating above ac3, around 1550f for many of the steels we use. Higher temps break up the course spheroid quicker, so many use 1650f, but this results in grain growth, so after breaking up the spheroids,we thermal cycle using 1550f, 1450f, and even 1400f. Soak 10min at each temp, and cool to black, about 900f. The steel will become magnetic again when cool enough. Each cycle below ac3 results in new grains forming within the boundaries of the old grains, creating smaller and smaller grain size. These cycles result in an even distribution of alloys, carbides, and a small, even grain size. The steel is in ideal condition to heat treat now. You can also use a sub critical anneal for 2h to create a fine spheroidize, if you need to grind or machine after the cycling. Fine spheroidizing is easier on belts and tooling than pearlite, which is what you have after the above cycles.
This is overly simplified, but gives you a basic overview of the processes and why they are done.