How to Plan Successful Assessment For Learning vs. Assessment Of Learning in Math

Great teachers like you know the importance of having various assessments guiding their teaching, but did you know that specific types of assessments should happen at particular times in the learning process? Let's check up on your use of assessment for learning vs. assessment of learning in math!

Photo of math lessons. "How to Plan Successful Assessment For Learning vs. Assessment Of Learning in Math."

Assessment FOR vs. Assessment OF Learning

Assessment for learning occurs at the beginning of a unit and continues throughout. This assessment drives your instruction and helps you determine what needs reteaching or what your students already understand. It is a method of delivering feedback to your students for how they can improve. Assessment for learning is what has traditionally been referred to as diagnostic and formative assessment.

Assessment of learning occurs at the end of a unit and evaluates the knowledge the student has acquired. This assessment is judged and given a score or a level that refers to the curriculum's standards or expectations. It is the type of evaluation that has traditionally been referred to as summative assessment.

Assessment For Learning

At this stage, you are looking to see where your students are, where you want them to be, and make decisions about how you will get there. There are many ways that teachers can engage in assessment for learning. Gone are the days when the paper-and-pencil evidence was the only thing that mattered. This triangulation of data, or relying on data from three different sources, is an essential part of the evaluation process in education today.

Observation

Teachers have professional judgment. Your observations are a very valid form of assessment in your classroom. The key to doing this well is all in how you document the observations you make.

I like to use sticky notes with the expectations or evidence that I'd like to see from each of my students for a particular lesson. 

Photo of sticky note observation slips.

I can use these as checklists and places to jot quick notes about the students' performance. I have an evidence collector page for each student, which is simply a place to stick each note that I gather on that student.

Another strategy I use is to observe my students' level of mastery with an activity. This is something that I typically use during independent work with the whole class. All I do is jot each student's name into a column on my chart to record their success with a task and put general notes about the next steps for my teaching at the bottom of each group. 

Photo of FREE math observation form.

I also sometimes just use a basic chart with spaces for each of my students to record my observations in point-form or coded format. An example of a coded format would be to use letters to stand for behaviors I observe, such as:

E = Engaged    O = Off Task     D = Distracted
or
P = Proficient    G = Getting There    S = Struggling

Whatever code you'd like to use is OK! This is only for your own reference. 

Photo of FREE math observation grid.


Conversation

Having conversations with your students, whether they are informal as you move through the classroom or more planned, like an interview, are an excellent way to gather data on your students' understanding of a topic. I use my observation forms to jot notes when I have conversations with my students.

Conversations allow you to gather important information about how your students are progressing with their learning.

You might ask:

    1. Can you explain your thinking?
    2. Can you show me what you did here?
    3. Can you demonstrate how you found that answer?
    4. Can you tell me what you've learned?
    5. What are you finding easy?
    6. What are you finding difficult?

This is a particularly effective way to evaluate understanding in situations where written explanations might be challenging for students. Often, your students will be better able to talk about what they did than write about it.

Student Work

Of course, there is still a place for paper-and-pencil, or product-based, evidence. Worksheets or activity pages are easy to collect and assess at another time. Still, for any activities involving an element of demonstration or giving proof, such as with manipulatives, it can be challenging to collect this evidence to refer to later.

I love having some iPads in my classroom so students can take photos of their work. They can drop these photos into a shared Google folder, Seesaw, or another portfolio platform. Check with your technology team to see what is available and approved for use in your area.

What do I do with this information?

The goal of assessment for learning is to provide students with strategies and steps for improving their understanding. You will want to take the information you gather and:

  1. Make adjustments to the lessons you have planned. Consider whether it would be appropriate to teach small guided groups instead of whole-class lessons to better differentiate the lessons.
  2. Provide feedback in oral or written form.
  3. Share next steps that students can implement independently or with support.

Photo of differentiated guided math lessons.

Assessment Of Learning

Assessment of learning is the evaluation stage. This data shows you whether or not students have understood the expectations or standards in the curriculum. This assessment receives a mark or grade, and it can also be collected using triangulation. You will need to continue documenting your evidence in the same way you did during the assessment for the learning process.

Observation

If you teach your math lessons in small, guided groups, you will have some fabulous opportunities to observe your students as they engage with the math topic. 

Photo of students working on guided math activities.

It is possible in these small groups to closely observe what students do as they work through a math process or problem. Watch for:

    1. How they interact with and use manipulatives.
    2. Whether they recognize errors or misconceptions.
    3. What they do when they make a mistake.
    4. How well they can persevere to complete a task.
    5. How they contribute to partner or group activities.

Of course, this is also a great time to have conversations about student learning!

Conversation

Assessment of learning can also occur through conversations with your students. The types of questions need not change. It is how you use the information you gain from the student responses that is different.

You might ask:

    1. Can you explain your thinking?
    2. Can you show me what you did here?
    3. Can you demonstrate how you found that answer?
    4. Can you tell me what you've learned?
    5. What are you finding easy?
    6. What are you finding difficult?

Photo of guided math activity.

Student Work

As with assessment for learning, the student work you evaluate in this stage of the process can vary. It is possible to collect paper-and-pencil tests or assignments, but having the student demonstrate a process or understanding may be more valuable information!

Photo of student working on guided math activity.

Managing Your Data

How you manage all of your observations and evidence of learning matters most when completing report cards. You don't want to be shuffling through piles of random pages trying to locate the information you need for each student.

I have several methods of tracking student progress in my classroom. 

I keep all of the sticky note observations on a separate page for each student in my guided math lesson binder

Photo of differentiated guided math lesson binder.

I have a binder for my whole-group observation pages. I usually use these to monitor progress and as a way to build my small groups for targeted teaching, so they aren't as essential to have on hand during reporting.

Any marks I collect throughout a unit are entered into my iDoceo app. This is a paid app, but well worth the money, in my opinion. There are no privacy concerns when using this app, as all the data is stored on your device and not in a cloud or server somewhere.

Be sure to grab the observation forms for your classroom right here:

Photo of FREE math observation chart.


If you'd like more information about the resources I've shared in this post, you can find them here:

Cover of Differentiated Guided Math Lesson Bundle

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Photo of math lessons. "How to Plan Successful Assessment For Learning vs. Assessment Of Learning in Math."

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