Technological-pedagogical knowledge in problem-solving teaching: an exploratory study of mathematics teachers

The development of technology has brought about modern ideas in teaching and learning. This research study investigates how experienced Mathematics teachers use digital tools to solve non-routine mathematical problems and communicate their solutions. A qualitative study with a case study design found that effective technology integration in mathematics education requires a deep understanding of mathematical problem-solving, effective use of digital tools, and a strong TPACK framework. Teachers must be adept at selecting and creating mathematical problems, choosing problem-solving models, and facilitating students' problem-solving skills through appropriate tasks. Although technology can enhance traditional teaching methods, it should be used wisely and purposefully to support and enhance the teacher's role, rather than replace it. In addition, teachers need to consider their students' diverse learning needs and use various teaching strategies to ensure that technology is effectively integrated into their teaching practices.