1. Dobernier's periodic table classified elements into triads based on atomic mass, but could only form three triads.
2. Newlands noticed that every eighth element had similar properties and classified them into octaves, but this only worked until calcium.
3. Mendeleev arranged elements by atomic mass and chemical properties, leaving gaps for undiscovered elements like gallium and germanium. His periodic table was a major improvement over previous classifications.
4. The modern periodic table arranges elements by atomic number, resolving issues with isotopes and incorrect element ordering. Properties are periodic based on electron configuration in the atom.