Interesting that you left out the sentences which followed immediately after your quote, part of the same paragraph actually:The description above basically refers to the transition that takes place at 0 degress C.The ice latticework simply takes up more space than the slightly more compact and disordered liquid state. Water expands when it freezes.
Water is unusual in this regard. Most substances shrink when they pass from the liquid to solid state.
When water cools it is a 100% liquid until it reaches 0 deg C. At that point ice crystals will start forming, and no matter how much heat you remove from it, the temperature will remain at exactly 0 deg C until all the water has turned to ice. Hence any mixture of ice and water will be at exactly 0 deg C. This is elementary physics, dude!
This is probably too complicated for you Dave, but if any readers should be geeky enough to be interested, here is a typical phase diagram (water shown as a green dotted line, most other mediums will have characteristics as the normal green line). Critical point for water is 374 deg C and 217 atm (bar), the triple point is 0 deg C and 6 mbar (0,006 atm). In other words, a phase transition from ice to water to steam (or the other way around) at atmospheric pressure would be a straight horizontal line just above Ptp on the graph below.
The transition from one phase to another, at a given pressure, takes place at one temperature only. Notice that there is no shaded transition zone - it happens at a particular temperature, which can be determined with great accuracy. For water at atmospheric pressure, the solid-liquid transition happens at 0 deg C and the liquid-vapour transition happens at 100 deg C.