I'll second the idea of an e-reader, but don't make it a Kindle Fire or an iPad. Go with a simple, dedicated reader -- not something that she can use to surf the net. E-readers feel cool in the hand, and reluctant readers don't realize whether they're reading a long or a short book. Do include a protective case.
Next, read with her. You can take this two ways: 1) Sit down in the evening where ever you're comfortable -- in the living room together or cuddled up in bed -- and both of you read. By modeling reading behavior, she's more likely to copy you. OR 2) The two of you read the same book so that you can discuss it; both of my girls ABSOLUTELY LOVED discussing literature with me, and I enjoyed it too -- even when we were discussing things that were very simple, I enjoyed seeing their little minds turn. My youngest was a voracious reader as a child, but had some trouble making the jump from children's books to chapter books -- but she responded very well to the two of us taking turns reading a chapter out loud.
Third, give her a gift card to the bookstore so SHE can pick some books on her own.
Finally, limit her access to computer, TV and other distractions . . . but don't be too obvious about it. If you lecture her on the importance of reading, you're likely to meet resistance.
Specific ideas for books:
The Series of Unfortunate Events by Lemony Snicket -- very dry sense of humor; my oldest's 4th grade teacher read the first book to the class, and she was hooked -- they still sit in a place of honor on her nightstand
Running Out of Time -- Jessie thinks she lives in a pioneer village; nope, the reality is that her family lives in a model village, and modern kids come to watch them every day; until a plague hits the village, and the "keepers" are going to let people die, so Jessie has to run away to get help -- this was an uber-fave with my youngest
Harry Potter by JK Rowling -- no other book series has prompted so much discussion in my house -- my two daughters' ultra-forever favorite, though maybe not the series to hand to a reluctant reader right off the bat. Some success with shorter books might be a better starting point.
The Warriors by Erin Hunt -- great for kids who love animals, easier reading than the other books mentioned here -- a KittyPet named Rusty finds life with his Two Legs rather dull and longs for adventure; he meets a wild cat who invites him to join his band of warrior cats in the forest, and he struggles to become a tough warrior himself -- this was the first book series that hooked my youngest
Magic Treehouse series -- these are very easy reading; perhaps too easy for a 10-year old, but my girls and MANY of their friends loved them
Ella Enchanted, Fairest, Two Princesses of Barrymore -- by Gail Carson Levine. All strong female protagonists, good storylines. My girls enjoyed them all briefly, though they never became favorites.
Hunger Games -- though I think ten is a little young for this series.
Artemis Fowl -- my girls never were huge fans, but they did read them.
Holes -- great storyline, good moral about forgiveness. A family curse leads to a boy being sent away to a juvenile detention center. Sounds dismal . . . isn't.
A Wrinkle in Time -- this was an uber-favorite of mine when I was a kid, but my own kids didn't love it.
Little House on the Prairie -- again, I loved this series; I used to play Little House all the time, but I couldn't get my own girls interested.
Because of Winn Dixie by Kate DeCamillo -- Great story; the author has written a number of other wonderful stories as well -- did she write The Tale of Despereux? Oh, my youngest adored that book!
The American Girls' advice books, but NOT the American Girls doll stories -- my girls loved the books on etiquette, friendship advice, middle school . . . but they found the stories about the historical doll-girls dull and contrived. I agreed.
Harriet the Spy
My Sister the Horse
Number the Stars
The Midwife's Apprentice
The Ruby Ring
The Borrowers series
The Giver
The Narnia series
The Children Who Stayed Alone
The Boxcar Children
Maximum Ride series
Fever
Eragon, though that might be a little advanced for a reluctant 10-year old
and enjoyed these and want to read more.
