Not every person enters meditation in the same way. One of the strengths of the Rosary is that it helps many different kinds of people contemplate the mysteries of Christ. This page is not about the order of the Rosary, but about the different doors by which people enter the mystery.
Through words
Some people enter the mystery most readily through words. A brief phrase after the name of Jesus in the Hail Mary helps keep the mind and heart fixed on the Gospel scene.
Through images
Some people are helped most by sacred art or by mentally picturing the mystery. For them, visual contemplation can make the mystery more vivid and prayerful.
Through felt or embodied imagination
Some people enter more deeply through a tactile or kinesthetic sense of the mystery. Without becoming theatrical or sentimental, they may be helped by imaginatively sensing the weight, suffering, stillness, or tenderness present in the Gospel scene.
The principle
The goal is not technique for its own sake. The goal is to help the soul remain with Christ in the mystery. Different persons may be helped by different doors, but the end is the same: deeper recollection, love, and contemplation.
No one needs to force a style that does not fit. What matters is fidelity, simplicity, and a real willingness to stay with the Lord.