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“I think, across the whole country, you are hearing the same debate in every state,” he said. “Every state is having this same issue, and many legislatures are voting to do away with it. So I think the national scene certainly is part of his decision to re-evaluate his position on Common Core.

“We want him to take care of Common Core, and if it elevates him on the national scene, so be it,” he said. “That is not our concern. Our concern here is what is going on in the state.”

At the Republican Leadership Conference, opponents of Common Core said they were happy to have Mr. Jindal on their side but were not sure whether he was truly committed to the cause.

“We have had rallies against Common Core at the capital, we have had forums about it, and we have inundated him with phone calls, letters and emails,” said Anna Arthurs, a physician. “It wasn’t until he started traveling outside the state of Louisiana and hearing from grass-roots conservative groups elsewhere that suddenly he has made definitive statements against Common Core. So it makes us question just exactly his true intent after he was so adamantly for Common Core.”

Sara Wood, a lawyer and mother of four, said Mr. Jindal has talked the talk and now she wants him to walk the walk, much like he did on school choice.

“When he wanted something done, he got what he wanted done,” Mrs. Wood said. “Taking a back-seat approach to me is unlike Jindal. So the only logical conclusion I can come to is he is not as committed as he has said.

“All we have is words right now,” she said. “We’ve had no action.”