Can you explain how the chip makes it more secure?
When a terminal is chip-enabled it *should* not allow the card to be swiped (there are exceptions, for example Walmart is chip-enabled but is allowing chip cards to be swiped to reduce customer confusion... which is ridiculous...; also the card can be swiped if a merchant is enabled for OTHER chip cards but not that brand... for example, many merchants in Ireland are not chip-enabled for American Express). Thus, (almost) every merchant that is chip enabled is one less place a counterfeit magnetic stripe made from a chip card can be used.
The chip cannot be counterfeit, though there are some very limited and technically complex pre-play attacks. The terminal generates an "unpredictable number" and the card uses this number, along with a key in the chip (which is never revealed) to create a response cryptogram. This cryptogram is then sent to the issuer to be verified, proving that the card is genuine.
There are some limited attacks, one widely described one a team at Cambridge discovered is that, for some older terminal firmware, the unpredictable may, actually, be very predictable. This would allow one to generate a response cryptogram to use later. This should be patched at most in the wild terminals now. Another attack involves "CVM downgrade" - taking a stolen card and making it not require the PIN. Given chip cards in the US won't even require a PIN in normal use, this doesn't apply here... for all the wrong reasons.
However, as a whole, counterfeit card fraud will be nearly eliminated when chip cards and chip-enabled terminals are widely rolled out. Today, this is one of the most common forms of fraud (e.g. massive data breaches at Target used to make counterfeit cards).
Walmart, Target, Walgreens, and Home Depot made a voluntary commitment to go first and enable chip card acceptance by the end of March, 2015. Hopefully the other three don't do so in an incredibly insecure, nearly pointless way like Walmart has (Walmart's implementation was actually done properly at first, then they made it insecure intentionally later because it was confusing customers). Walmart has said they will change their implementation back to enforcing later - I think it's stupid. It'll only cause MORE customer training issues to start enforcing the chip once almost everyone has chip cards...
Also, some smaller merchants, especially ones using chip-capable hardware provided by First Data are chip-enabled today.
Chip cards, do, of course, do nothing to secure "card-not-present" transactions such as those on the Internet. This gets mentioned a lot as a problem with chip cards, but it isn't really. The chip is meant to secure use of the PHYSICAL card. Something else is needed to secure purchases on the Internet. 3-D Secure (Verified by Visa, MasterCard SecureCode, American Express SafeKey), while imperfect, has been widely deployed in Europe. It was tried in America, but merchants and consumers hated it as it was confusing and a password they forgot. What will secure Internet transactions hasn't been decided, but ultimately I think it'll be some form of 3-D Secure... and it'll need to happen soon. But it's a separate issue from physical chip cards, and both are needed.