analysis is science........synthesis is art........engineering is to learn the science and then design and manufacture products 

analysis is to find the truth., including due experimentation,/measurements, comparison... using rationality, common sense, intelligence, logic, science, experience..................not to be content with simple acceptance, and get deluded. .it is alertness at work evaluating the true worth ….most essential....... 

and then

 launch up on synthesis, to evolve solutions for problems, design and create desired products of utility and value, and serve the society / even market it for advantageous use

How to enhance and practice analytical and critical thinking?.

...........................basic requirement is a cool non emotional mind, not jumping to quick conclusions, but to patiently do a thorough scrutiny of all data and also evaluate by trial and error / sample testing on real plane