Mixing a liquid solution in a container by rotating a pair of bar-shaped magnets in a coordinated pattern in which lines parallel to the axes of the bar-shaped magnets remain normal to one another, the magnets disposed in close proximity to and on opposite sides of the container a distance above the bottom of the container so that a magnetic mixing member is caused to rotate in the liquid about the same distance above the bottom of the container. Relative vertical movement of the magnets and the container generates a vortex-like mixing action throughout the container.