In this study, students' understanding of the structure of matter and its changes of state such as melting, evaporation, boiling, and condensation was investigated in relation to three cognitive variables: logical thinking (LTh), field dependence/independence, and convergence/divergence dimension. The study took place in Greece with the participation of 329 ninth-grade junior high school pupils (age 14-15). A stepwise multiple regression analysis revealed that all of the above-mentioned cognitive variables were statistically significant predictors of the students' achievement. Among the three predictors, LTh was found to be the most dominant. In addition, students' understanding of the structure of matter, along with the cognitive variables, was shown to have an effect on their understanding of the changes of states and on their competence to interpret these physical changes. Path analyses were implemented to depict these effects. Moreover, a theoretical analysis is provided that associates LTh and cognitive styles with the nature of mental tasks involved when learning the material concerning the particulate nature of matter and its changes of state. Implications for science education are also discussed. (Contains 4 tables and 7 figures.)