I want a word which means 'breaking down some concept and building it again'. To elaborate, suppose I have learnt a concept, but have missed a lot of intricate details in it. So, I want to start from the beginning. I want to dismantle that concept, but not in the sense of destroying or discarding it, or dismantling it because the concept itself is wrong. I want to break it down, and start building it from the basics. Is there a word for this? The Thesaurus suggested words like annihilate, demolish, destroy, tear down, etc. All these words have a negative-sound. I want a word that means the same in a positive sense. As an example, '___-ing Algebra' would be a good title for a book that teaches Algebra from the very basics and in a greater detail than usual.
Consider revisit (Collins)
to re-examine (a topic or theme) after an interval, with a view to making a fresh appraisal
8: If you develop a skill, quality, or relationship, or if it develops, it becomes better or stronger. 12: If you develop an idea, theory, story, or theme, or if it develops, it gradually becomes more detailed, advanced, or complex.
As an example:
'Algebra Revisited' would be a good title for a book that teaches Algebra from the very basics and in a greater detail than usual.
'Redeveloping Algebra' would be a good title for a book that teaches Algebra from the very basics and in a greater detail than usual.
If you seek to convey the idea you are not simply tearing something apart ("deconstructing") but also contributing by bringing "it" back yet in a different shape, you may consider these terms: reconstruct, refashion, and recast.
They are not as widely used as "deconstruct" in literary criticism, but they transmit a more collaborative approach.
Mind the context, however. "Deconstructing's" high currency in some genres relates to the aversion in PoMo(Postmodern literature) to "construct" things. Building a case sets you up for "deconstruction."