Breast-feeding: Too much of a good thing?

It's hard to avoid staring at the cover of Time Magazine this week. If you're on social media like Twitter and Facebook, the widely shared image may have arrived on your screen before you ever saw it in the supermarket.

The provocative cover shows Jamie Lynne Grumet, a 26-year-old mother from Los Angeles, breast-feeding her son. This isn't your typical mom-and-baby shot: Grumet's son is 3. In case you were wondering, Grumet told CNN's Erin Burnett that her son is actually breast-feeding in that now-iconic image.

Grumet said her own mother breast-fed her until age 6, and Grumet still remembers it. "I'm proud of her," Grumet said.

The picture promotes an article about the growing popularity of "attachment parenting", a theory first advocated by Dr. Bill Sears and his wife, Martha, in their 1992 best-selling guide “The Baby Book.”

The Searses argue that co-sleeping, “baby wearing” (where the baby is attached to the parent with a sling) and extended breast-feeding will help parents respond better to the individual needs of their babies.

Celebrities such as Mayim Bialik of "The Big Bang Theory" are also promoting ideas about attachment parenting. Bialik said on Friday that she still breast-feeds her 3-year-old son. "He's not done breast-feeding, and I'm not ready to tell him not to," she said.

Many moms and dads have strong opinions about these practices, especially the breast-feeding advice.  The American Academy of Pediatrics recommends babies be breast-fed exclusively for the first six months of their lives.

"We don't all nurse older kids," Bialik said of mothers who subscribe to attachment parenting ideas. "But the notion that a child's voice matters, that every child is different, that's the basis of attachment parenting."

Heather Curtis, wife of Fark.com founder Drew Curtis, told CNN's Geek Out that she practiced breast-feeding for an extended period, carried her babies in slings and practiced co-sleeping, as Bialik did. So did Caryn Rogers, a science writer for the Preeclampsia Foundation.

"I didn't really choose to eschew conventional care so much as chose to get what I believed was the most evidence-based care," Rogers said.

Grumet said that sleeping with her baby does not affect intimacy with her husband.

Watch: Breast-feeding cover-mom defends pose

"I think intimacy is extremely important in a marriage and I think a strong marriage is going to be a great foundation to show your children how to be raised confident and happy and I had that with my family, too," she said.

Time: Extended breast-feeding is more common than we think

CNN.com readers expressed mixed views on the subjects of the best age to stop breast-feeding and the appropriateness of the Time cover in general. See what they said.

We want to know what you think.  Is it OK to breast-feed well past toddler-hood, or is it too much of a good thing?