ukquilter has a point... the term "paper piecing" when used *alone* generally refers to something different than "foundation piecing" which may use paper (or a base fabric that's not seen when finished) at some point. I believe most of the info above is for foundation piecing, not paper piecing.
If that's true, then "English paper piecing" usually refers to one way of creating geometric, "one-patch," styles into patterns such as Grandmother's Flower Garden, Baby Blocks, Tumbling Blocks, and other multi-sided locks.)
http://quilting.about.com/od/englishpfp
The individual hexagons, parallelograms, or triangles, etc., are cut first from paper, then decorative fabric is folded over each one, then the edges of the two fabric shapes are sewn together one at a time ONLY on their tippy-top edges.
Foundation piecing, on the other hand, is creating a "pieced" pattern on top using a piece of paper or fabric (even interfacing) which has the desired pattern drawn on it. Each piece is added one at a time by overlapping the new fabric on its neighbor upside down, sewing on the paper's drawn line (from the back side), then flipping the fabric over so it's right-side out... repeat, repeat. (It can be done in *various* ways though... not just this one.)
Not all patterns can be done with foundation piecing, or may require more than one pattern, but it's very good for some small "picture" patterns and geometrics, and also for some "strip" techniques incluing Log Cabin patterns.
Foundation piecing (and "mini-foundation piecing" for the smaller ones) is great fun though!, and can be very easy (just rows of strips, for example), a little more difficult, all the way up to quite fiddly and complex. You obviously start off with the easier ones, then work your way up as you learn the general idea.
Here are some pages that deal with foundation piecing from my files... haven't checked to make sure they're all still there though:
http://www.winnowing.com/ppp.html (sample is a simple pine tree block)
http://ttsw.com/HowTo/FoundationHowToPage.html
http://www.nmia.com/~mgdesign/qor/technique/pfp.htm
http://quilting.about.com/msubfoundation.htm
http://www.quilt.com/HowTo/FoundationHowToPage.html
Part two: more complex piecing: http://quilting.about.com/library/weekly/aa071697.htm
http://www.patchwork.com/recroom/FreeVest.htm (look under Sewing, near bottom, uses see-through foundation fabric)
http://www.quilterscache.com/StartQuiltingPages/startquiltingthree.html
general lesson (and diagrams)….& Add A Quarter lesson
http://www.zippydesigns.com/Lessons/generalinstruct.html
http://www.geocities.com/pcpiecers/goofyangletips.html
links to many patterns
http://quilting.about.com/msubmenu1.htm
(many patterns!) (farm: house,barn, tree, silo… many crazy blocks… many trees)…. gone… only other things now
http://www.small-expressions.com/index.htm
Annette’s barter patterns (pines and palm trees, houses, cacti, lighthouses, etc. http://www.geocities.com/foundationpapers/index.html
lots of patterns: music, animals, jars (Wendy’s Quilting and Embroidery Place)
http://www.geocities.com/Heartland/Cottage/7627/
her new website, and free patterns put on cards
http://www.wendyvosters.com/cards.htm
HTH,
Diane B.