The Sunday Puzzle podcast on NPR (hosted by crossword/sudoku puzzlemaster Will Shortz) is a fantastic language resource for introducing students to the wonderful world of wordplay. You can access the audio archive here.
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For classroom purposes, a printable activity sheet
is more feasible than the audio so here are some I have created...

Can You See the Trees
from August 15, 2010

Each of the sentences you are a given conceals the name of a tree somewhere inside of it (in consecutive letters.) For example, "Use soap please" contins the word "apple"
(use soAP PLEase)

Activity Sheet (view) (.pdf)
Solution (view) (.pdf)

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The President is Present

from February 11, 2011

Each word you are given conceals the name of a U.S. President in left-to-right order, but the letters are not consecutive. For example, given the clue "triumphant," the answer word be "Truman" (TRIUMPHANT)

Activity Sheet (view) (.pdf)
Solution (view) (.pdf)

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ABC's of Anagrams
from March 14, 2010

Each word contains the letters A, B & C plus some other letters. For example, ABC + LOT = COBALT. Can you name them all?

Activity Sheet (view) (.pdf)
Solution (view) (.pdf)