# Closely Observing Student Thinking

*This blog series documents how our network of schools *__became interested in lesson study__*. We have shared how our lesson study *__teams got started__* – by creating a shared vision of their* __hopes and dreams for students__*, determining a *__research question and theory of action__*, narrowing in on *__a specific content area for their research lesson__*, and then *__exploring the mathematical content and selecting a mathematical understanding goal__* and *__an equity goal__* for their research lessons. We have also documented our first four public lesson study events, a *__3rd grade lesson on comparing fractions__*, a *__9th grade lesson on lines of best fit__*, an *__8th grade lesson on negative exponents__*, and a *__10th grade lesson on quadratics__*. *

__Resources we’ve used for conducting research lessons can be found here____.__

*A 7th grade student explains their thinking to the host teacher during a lesson study event.*

__In the last post we shared details that our research teams have found useful when conducting a public research lesson.__ One of the tips on their list deserves its own post:

*During the lesson we have found the richest data about student learning comes from***closely observing and collecting data on the thinking of one focus student and their interactions for the entire lesson.**

The team’s learning during a research lesson hinges on what data they notice and collect during the research lesson. If the ultimate goal of any lesson is to advance student understanding, then it is important that the main thing is kept, well, * the main thing. *Collecting data on *how* a focus student made sense of the mathematical understanding goal and what impacted the learning process, provides the richest data about what that student learned and how they learned it.

It sounds simple, but closely paying attention to a student’s thinking throughout a lesson is a skill that requires attention and development. As humans we are constantly interpreting what we see through our prior experiences and biases. __Our attention can be incredibly selective based on what we expect to see.__ This can restrict what we notice during a lesson *and what information we use to determine our next instructional steps.* Personally, I am prone to assuming I know how a student is thinking –* or how I think they should be thinking –* and it has taken quite a while for me to develop the awareness and tools to check my assumptions and listen carefully to how a student is *actually* thinking. It is *still* a skill I’m working on. However, the more I practice, the more I’m in awe of the unique ways that students develop their understanding of math concepts and the better equipped I feel to think about what follow-up questions/lessons/tasks would make the most sense to extend their understanding.

Another factor that inhibits our ability to closely follow student thinking is that, as teachers, we often spend our time focused on* all* the things we usually focus on when we are teaching a whole class – Is everyone engaged? Is the pace of my lesson right? Are any groups off task? What question should I ask next to deepen students' understanding? These are all important things to notice when teaching, but it means we often miss the nuanced details about how each of our students is developing their understanding of important mathematical concepts during the lesson. Participating in a research lesson as an observing teacher is a rare opportunity to closely observe a focus student’s growing understanding (or misunderstanding) over the course of a lesson, but we need to temporarily shut off the “teaching” side of us that wants to pay attention to *everything*.

Keeping our biases in check and actively returning our attention to how a focus student is thinking about the mathematics at hand are skills we can develop through participating in research lessons. When we focus on how a student’s understanding evolves over a lesson, we actually deepen our ability to listen more carefully to student thinking* even when we’re teaching a whole class. *Why? Because we’ve had the opportunity to *learn how someone different from us engages in learning math. *This broadening of our own understanding about how a student might make sense of mathematical ideas influences **what we notice when we’re teaching *** and what in-the-moment instructional decisions flow from these noticings*. We may notice ideas from students who don’t think like us and now be able to highlight them for the class to learn from too.

Ultimately, our research teams hope to cultivate the ability to recognize important mathematical contributions from each student and support students in making connections between each other’s ideas to deepen their mathematical understanding. Closely observing student thinking provides an opportunity to grow these skills.

*For educators interested in lesson study we have found that:*

Closely observing a focus student’s thinking during a research lesson provides an opportunity for teachers to learn

**how the student’s mathematical understanding changes**over a lesson and**what factors supported learning**

By becoming students of our students’ thinking

**our research teams deepen their**__mathematical knowledge for teaching__*the knowledge of how different students make sense of important mathematical concepts.*

*Previous: *__Considerations for Public Research Lesson Studies__

*Up Next: *Research Lesson Debrief

*Daisy Sharrock works at the *__Center for Research on Equity and Innovation__* at the *__High Tech High Graduate School of Education__*, and is part of a *__Student-Centered Learning Research____Collaborative-sponsored__* research team that is currently engaged in the following study: Leveraging the Power of Improvement Networks to Spread Lesson Study. Read more about their current study *

__here__*. We are grateful to*

__JFF__*,*

__KnowledgeWorks__*, and the Student-Centered Learning Research Collaborative and its funders for their support. Learn more at*

__sclresearchcollab.org__