To move a module up or down in the order of modules displayed within a section of a page, such as the leftColumn (also known as a “hook”), do the following

3. In the list of hooks, click the up or down icons to change the module’s display order. (For example, in the above screenshot, if we wanted "New Products block v0.9" to be at the top of the right column, we could either click the down arrow on the "Cart block" or the up arrow on the "New products block").
Tip: Be aware that you can have a module installed, but delete its position by clicking the red x (as shown above), in which case, even though it is installed as a module it will not show in your Prestashop webstore
Next: Transplanting a Module (Moving its position from one block to another via the hooks - e.g left column to right Column)
If you want to know what hooks are available for the page positions you seek, the defaults are available here: View Table Hook in designers guide