NEW YORK (AP) – In a split-screen race for the presidency, Republican Mitt Romney and President Barack Obama were on their best campaign behavior in public Tuesday, all the while slashing away at each other in paid television ads.

In separate appearances in New York, they swapped criticism on foreign policy. But they did it politely, without mentioning each other by name.

Romney found fault with Obama’s approach to education, but did so after paying a public compliment to Arne Duncan, who has the administration’s Cabinet portfolio for the subject.