The first time I introduced him my children, my daughter was fascinated with his thinking and thought process.

英訳に間違いが有れば正してください。

私が初めて彼を私の子供に紹介したとき、私の娘は彼の考えと思考過程に魅了されました。
The first time I introduced him my children, my daughter was fascinated with his thinking and thought process.

ヒント
紹介

答え to my childrenにする

The first time I introduced him to my children, my daughter was fascinated with his thinking and thought process.

introduceは目的語を二つ取らない

introduce+目的語+to~
目的語を~に紹介する