Hi Oceanfloor,
What you've said is the Buddha's teaching, not specific to any particular approach.
1. This is the third Noble Truth, explained in various places, including the Buddha's first discourse:
SN 56.11.
"Cessation of suffering, as a noble truth, is this: It is remainderless fading and ceasing, giving up, relinquishing, letting go and rejecting, of that same craving.
2. The second discourse,
SN 22.59, explains that nibbana involves discerning the impermanent, unsatisfactory, and not-self nature of the aggregates (form, feeling, perception, formations, conciousness):
"Any consciousness [or other aggregate] whatsoever that is past, future, or present; internal or external; blatant or subtle; common or sublime; far or near: every consciousness is to be seen as it actually is with right discernment as: 'This is not mine. This is not my self. This is not what I am.'
"Seeing thus, the well-instructed disciple of the noble ones grows disenchanted with form, disenchanted with feeling, disenchanted with perception, disenchanted with fabrications, disenchanted with consciousness. Disenchanted, he becomes dispassionate. Through dispassion, he is fully released. With full release, there is the knowledge, 'Fully released.' He discerns that 'Birth is ended, the holy life fulfilled, the task done. There is nothing further for this world.'"
However, accomplishing this is not straightforward, and as Retro says, involves the Eightfold Path, also explained in the Buddha's first discourse:
SN 56.11.
"The way leading to cessation of suffering, as a noble truth, is this: It is simply the noble eightfold path, that is to say, right view, right intention; right speech, right action, right livelihood; right effort, right mindfulness, right concentration.
Which, of course, is what any competent Dhamma teacher would teach.
Bhikkhu Pesala is a student of Mahasi Sayadaw, and has a web site here:
http://www.aimwell.org/ containing a lot of teachings by Mahasi Sayadaw and his students.
Mike