The Welshman has talked of wanting the Potters to play a more attacking brand of football after their style was criticised by many in the game under former manager Tony Pulis but, while the captain feels that his side are "adapting well" to their altered approach, he does not want to lose "the Stoke way".
"It's different. We're trying to play a bit more on the floor and I think we're adapting well," the 25-year-old told The Sentinel.
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Stoke came from behind to beat Crystal Palace 2-1 in the Premier League on Saturday, thanks to two goals in four minutes from Shawcross and Charlie Adam, and the former Manchester United defender argues that his side's performance showcased the ideal blend of the styles.
"In periods against Palace I thought we played some good stuff but we also mixed it up," he remarked.
"Overall I think we'll have a very successful season under the new manager. We don't want to lose our strengths but we want to be better offensively too."
Stoke face Walsall in the Capital One Cup on Wednesday before travelling to West Ham in the Premier League.