This is part two of a three part series on formative assessment. This post deals with some things you can do between individual lessons based on formative assessment and during a lesson. You can **read part one here**.

**Introduction**

The objective of this post is to describe two possible procedures teachers can use for ongoing, day-to-day formative assessment. The first of these procedures is easier to implement, but gives teachers less information on what students understand. Remember that a primary objective of formative assessment is to create a feedback loop for both teachers and students into the teaching and learning process.

**Example 1**

At the end of your last class you gave an exit slip. One strategy, which is not too time-consuming, is to take the exit slip and first sort it into No/Yes piles, and then sort these piles into 3-4 solution pathway piles, essentially organizing all of the student work by whether or not it is correct and what strategy students used. It may be useful to have an other group, with students whose strategy which are unable to decode.

These groups of student can be used to decide on student groups (recommendation: group by different strategy) for the following day, decide if you need to try a different strategy for tomorrow, and/or find examples of student work to present to students. It can also be used to decide on re-engagement strategies^{1} for the lesson from the previous day, or just decide that you can move onto the next topic in your unit sequence.

**Example 2**

^{2}. The most important feature of formative assessment is coming to understand what students are thinking. You can do this by conferring

^{3}with individual students during your lesson and asking them questions to elicit their thinking. Of course, this assumes you have given students an assignment which requires them to think!

^{4}and that you start by initially observing students and see if they are able to get started on the task without your intervention. As the students begin to work, you begin walking around the classroom, and observing them working, and listening to their discussions about the task. Your objective at this time is to gather evidence of what students are thinking about while they do the task.

^{5}for the student, such that the student is left to do the mathematical thinking of the task, and you do not lower the cognitive demand of the task. During the entire time students are working on the task, you collect information

^{6}on what the students do during the task.

**Conclusion:**

**Information:**

**This document**describes the process of conferring.

**Descriptive information**,

**Specific criteria information**

## Mary Dooms says:

Hi David,

I teach 7th grade and my most diverse learners are in my standard level classes where students’ MAP scores range between the 15th-90th percentile. When using exit slips as a quick sort teachers must use that data to regroup students and structure their lesson and classtime to address any misconceptions. To be most effective I need to have tomorrow’s lesson prepared with differentiation in mind. Yesterday, a formative assessment helped me identify 14 students who can add and subtract one step equations, but 7 can’t do it when it involves combining like terms. Three of the seven can’t add negative decimals, and the rest are still combining terms that aren’t alike. For Monday I need to have appropriate resources ready for all of my students–from those who don’t get it to those that do. I’m the first to admit that some days I’m better prepared for the differentiated classroom than others.

Having taught this topic for several years I know the misconceptions. But as you point out it’s what you do with that information that makes the difference. I’m investigating the math workshop model and I think that may help me. To successfully execute the workshop model an entire unit needs to be prepared for all possible “What ifs”.

I appreciate your insights on formative assessment and look forward to part 3.

February 1, 2014 — 10:45 am

## David Wees says:

One advantage you have is that you have evidence that at least some of your students are able to do all of the following skills. It might be worth looking into re-engaging students with examples of students work. See http://instructionalactivities.com/activity/re-engagement for example.

The math workshop model you mentioned sounds interesting. Can you describe it in more detail?

February 1, 2014 — 3:00 pm

## Mary Dooms says:

It runs similar to a reading workshop in that the independent time is quite differentiated. The lesson begins with an open ended task or review problem, followed by a mini-lesson, independent work time where the teacher confers with students and a shareout at the end. After the mini-lesson, for example adding and subtracting one step equations, I would have a quick formative assessment to determine levels of understanding. Students are then immediately regrouped and they practice or are given extensions based on their level of understanding. The key is to have the resources at the ready: combining like terms practice, one step whole number practice, one step decimal/fraction practice, and an extension perhaps on solving equations with variables on both sides. A mini-lesson may not even be the current topic, it could be a number talk. The idea is to create a culture of learning where students become self directed. Here’s a link to the book Minds on Mathematics. http://www.amazon.com/Minds-Mathematics-Workshop-Develop-Understanding/dp/0325044341

Another teacher and I are doing a book study, led by our reading specialist, who also has a keen interest in math. It requires a lot of advance prep and it’s not just doing stations.

February 2, 2014 — 5:19 pm