A survey on 195 gifted fifth graders of 13 primary schools in Kodya Surakarta shows empirical evidence of very significant intercorrelation (P < 0.01) among several variables, such as intelligence, creativity, aggressiveness, the parents' instructional guidance (independent variables), and students' achievement (dependent variable). From the regression analysis it is revealed that those four independent veriables contibute effectively (70.588%) towards the success of the instruction.