Thinking In Mathematics Pdf - Visible

| Routine | Purpose | Math Prompt Example | |---------|---------|----------------------| | | Initial exploration of a problem, graph, or pattern | See : three blue shapes, Think : maybe it’s a pattern of +2 sides, Wonder : what comes after 9 sides? | | What makes you say that? | Justifying reasoning | “I think 17 is prime.” — “What makes you say that?” | | Claim-Support-Question | Building arguments | Claim: “The sum of two odds is even.” Support: “odd+odd = (2m+1)+(2n+1)=2(m+n+1).” Question: “Does this work for negative odds?” | | Connect-Extend-Challenge | Linking new math ideas to prior knowledge | After learning integer division: Connect to sharing cookies; Extend to zero; Challenge: what does ÷ by a negative mean? | | I used to think… Now I think… | Metacognitive change | “I used to think commutative works for subtraction; now I think it doesn’t because 5–3 ≠ 3–5.” |

Visible Thinking in Mathematics is not another task to add to the curriculum; it is a way of doing the curriculum. By making thinking visible, we empower students to be owners of their mathematical journey, transforming them from passive observers into active, critical, and creative thinkers.

Identify what remains unclear or what new questions arise. 4. Which One Doesn't Belong? (WODB) visible thinking in mathematics pdf

By making student thinking "visible"—through talking, writing, drawing, and modeling—educators can foster a deeper engagement with mathematical concepts. This article provides a comprehensive overview of how to implement visible thinking in the math classroom and explores resources for finding related materials. What is Visible Thinking in Mathematics?

A close cousin to Notice and Wonder, this routine asks students to look at a visual stimulus and answer: | Routine | Purpose | Math Prompt Example

: Shifting focus to the process helps students who are intimidated by "getting it wrong" to see value in their attempts. Core Visible Thinking Routines for Math

: Available for purchase as an eBook or in print from the publisher and academic retailers. | | I used to think… Now I

Teachers often create their own "anchor charts" (PDFs/posters) documenting the "See-Think-Wonder" process applied to specific math problems. Example of a "See-Think-Wonder" PDF Structure for Math:

Clear boxes or spaces for students to separate their Noticing from their Wondering , or their Claims from their Evidence .