Visible — Thinking In Mathematics Pdf Free

: Students are encouraged to "think about their thinking," identifying their own cognitive patterns and misunderstandings.

One of the most powerful strategies is the use of thinking routines, which are simple, structured protocols that guide students in their cognitive processes. For example, the routine is particularly effective when introducing new geometric shapes or data sets. Students observe an image, articulate what they think is happening mathematically, and pose questions about what they wonder. This routine slows down the rush to calculation, forcing students to analyze the mathematical structure before attempting to solve it. visible thinking in mathematics pdf