International Journal of Education

The combination of numbers and shapes is an important mathematical idea that combines abstract quantitative relationships in mathematics with concrete and intuitive images, including two aspects: "using shapes to assist numbers" and "using numbers to assist shapes". This idea reflects the relationship between quantity by clearly expressing the concrete nature of form, while using numbers to describe the essence of form, achieving an organic combination of abstract thinking and visual thinking. By combining mathematical problems with graphics, complex problems can be made simpler, while abstract problems can also be concretized, making it easier to understand and solve. The idea of combining numbers and shapes can not only be used to solve mathematical problems, but also greatly help improve thinking abilities. In practice, students need to constantly explore and try to find the optimal solution, in order to improve their mathematical and thinking abilities. The idea of combining numbers and shapes is a very important mathematical idea in middle school mathematics. By combining mathematical problems with graphics, it is easier to understand and solve mathematical problems, while also improving students mathematical and thinking abilities, thus better addressing future challenges.

The idea of combining numbers and shapes; Middle School Algebra Teaching