With a focus on high school mathematics education

this paper explores how to cultivate students’ innovation consciousness and innovation capabilities. It analyzes the current problems and deficiencies in high school mathematics education and proposes effective teaching strategies and methods. The paper discusses the cultivation of innovation consciousness by activating thinking

emphasizing inquiry

and encouraging questioning. It also explores the development of innovation capabilities through exercises

proper guidance in learning

and extracurricular activities. Specific teaching cases are used to analyze the effectiveness and significance of cultivating innovation consciousness and innovation capabilities. The paper also highlights the challenges and difficulties in cultivating innovation consciousness and innovation capabilities and provides corresponding strategies and recommendations.