"The type of child that grows up with praise."
"the type of child that ~" 「〜タイプの子」
"that grows up with ~" 「〜て育つ」
"praise" 「褒めて」
"The type of child that responds well to praise in the upbringing."
"responds well to ~" 「〜が効く」
"upbringing" 「育つ」
raise being constantly praised ・ type of kid that is raised being constantly praised
I think my kid is the type of kid that is being raised by being constantly praised
ご質問ありがとうございます。
まず、「褒めて育てる」は「raise being constantly praised」と言います。
そして、「褒めて育つタイプの子」の場合、「 type of kid that is raised being constantly praised」になります。
自分の子供について、「うちの子は褒めて育つタイプだと思います。」と言いたいなら、「I think my kid is the type of kid that is being raised by being constantly praised」になります。
ご参考になれば幸いです。
オーストラリア 
アメリカ合衆国 
