Present moment awareness What is the different between living in present and the mindfulness? I experience living in the present without thinking but often not with mindfulness.
In the Satipaṭṭhāna Sutta, the Buddha teaches how a practitioner should dwell with (right) mindfulness of body and mind; 


  (The Four Postures)
  
  
  “Again, bhikkhus, when walking, a bhikkhu understands: ‘I
  am walking’; when standing, he understands: ‘I am standing’;
  when sitting, he understands: ‘I am sitting’; when lying
  down, he understands: ‘I am lying down’; or he understands
  accordingly however his body is disposed.
  
  
  -- MN 9: Satipaṭṭhāna Sutta, p. 146 - (Bodhi, Trans.)


and


  (Contemplation of Mind)
  
  
  “And how, bhikkhus, does a bhikkhu abide contemplating
  mind as mind? Here a bhikkhu understands mind affected
  by lust as mind affected by lust, and mind unaffected by lust as
  mind unaffected by lust. He understands mind affected by hate
  as mind affected by hate, and mind unaffected by hate as mind
  unaffected by hate. He understands mind affected by delusion
  as mind affected by delusion, and mind unaffected by delusion
  as mind unaffected by delusion. He understands contracted
  mind as contracted mind, and distracted mind as distracted
  mind. He understands exalted mind as exalted mind, and unexalted
  mind as unexalted mind. He understands surpassed mind
  as surpassed mind, and unsurpassed mind as unsurpassed
  mind. He understands concentrated mind as concentrated
  mind, and unconcentrated mind as unconcentrated mind. He
  understands liberated mind as liberated mind, and unliberated
  mind as unliberated mind.
  
  
  -- MN 9: Satipaṭṭhāna Sutta, p. 150 - (Bodhi, Trans.)


It is taught that one should be mindful of whatever phenomena arises in the body and mind. 

Insight-meditationally speaking this means that one should take whatever physical or mental object that arises and cultivate insight from it. If a feeling of anger arises, one takes that feeling as an object. If aversion towards that feeling of anger arises, one takes the aversion as an object and so forth. 

One practices to realize the Three Characteristics of Existence; "impermanence, unsatisfactoriness and uncontrollability". All conditioned phenomena are subject to these three characteristics. They are also the 3 gateways to Liberation as taught in the Visuddhimagga;


  [The Triple Gateway To Liberation]
  
  It enters upon the state of the triple gateway to liberation now with the
  predominance of [one of] three faculties according as the contemplation occurs
  in [one of] the three ways.
  For it is the three contemplations that are called the three gateways to liberation, according as it is said: “But these three gateways to liberation lead to the outlet from the world, [that is to say,] 
  
  (i) to the seeing of all formations as limited and circumscribed
  and to the entering of consciousness into the signless element, 
  
  (ii) to the stirring up of the mind with respect to all formations and to the entering of consciousness into
  the desireless element, 
  
  (iii) to the seeing of all things (dhamma) as alien and to the
  entering of consciousness into the voidness element. These three gateways to
  liberation lead to the outlet from the world”.
  
  -- Visuddhimagga: The Path of Purification, p. 685-88, by Ven. Buddhaghosa