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Do I correct if I say,

He chopped the tree = He chopped the tree (just slightly a bit slash on its bark)

He chopped down the tree = He completely chopped the whole tree down ,just leave a tree trump.
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Vincent TeoSorry, I try to recall, but that's my conclusion. Can help me to clear my mistakes? Thank you for helping me so far..
MM has the patience of a saint.

You really need to learn how to use the search function, Vincent...
Look at this link: http://www.EnglishForward.com/search/pro.htm?q=chop the tree down&un=vincent teo
(I put "chop the tree down" in the search box, and your screen name in the "written by" box.)

Have a look at the links below I was able to re-surface that way.

http://www.EnglishForward.com/English/ChoppingChoppingDown/jxbjq/post.htm
http://www.EnglishForward.com/English/ChoppedWood/xcczm/post.htm
Comments  
My god, Vincent, can't you remember anything? We did this over and over months ago.
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Sorry, I try to recall, but that's my conclusion. Can help me to clear my mistakes? Thank you for helping me so far.....
 Tanit's reply was promoted to an answer.