"独立思考" 的英文表达是 "independently thinking"。这个词组来源于英语中 "independent" 和 "think" 的结合。"Independent" 意为 "独立的"，"think" 意为 "思考"。
例句：
It is important to independently think before making a decision. (在做出决定之前独立思考是很重要的。)
She encourages her students to independently think and form their own opinions. (她鼓励她的学生独立思考并形成自己的观点。)
He values the abipty to independently think and come up with creative solutions. (他重视独立思考和提出创造性解决方案的能力。)