Summative vs. Formative Assessments: Who Takes The Cake?

Formative and summative assessments are usually poorly understood. They are very different and serve different purposes. The role of assessments is to help students succeed. Let’s dig into what they mean and what they do.

During my workshops, I like to present teachers with the following two analogies. The first one is from R. DuFour. He describes Formative Assessments as a “checkup with the doctor.” I would add that checkups help doctors prescribe the right medicine when it is needed.

R.DuFour describes Summative Assessments as “the autopsy.” There’s no medicine that we could prescribe at this point. We can analyze the cause of death. Call me morbid, but this is one of my favorite analogies. Do we want to give an educational checkup or autopsy?

Here’s a less gruesome comparison. Standards-Based and Responsive Evaluation, says, “When the cook tastes the soup, it’s formative. When the guest tastes the soup, it’s summative.”

Now in literal terms, formative means capable of alteration of growth and development and summative means cumulative. Did you know that the word assessment comes from a root word that means “to sit beside”? I came across that as I was doing research.

Summative Assessments

Summative Assessments or rather assessment OF learning focuses on a product or end result performance.

These are typically done in a whole group setting such as unit tests, quarterlies, finals, state tests, NWEA MAPS, etc.

Assessments fall into two categories.

1- questions that assess rote knowledge skills. These questions are usually close-ended with one answer (convergent thinking)

2- questions that assess higher-level executive functions

Summative Assessments Info…

  • Information may be useful in looking at trends happening in your school(s)or district.
  • Can’t uncover students’ conceptual misunderstandings.
  • Abstract creative thinking is not usually assessed.
  • Scores give information on student knowledge, not student understanding.
  • If a student gets a correct answer, we assume that they understand the big idea behind the question.
  • Does not inform teachers about what instructional decisions to take in their everyday lives.
  • More of a snapshot that captures a single moment in time (Van de Walle).
  • It is traditionally used to gather grades.
  • Schools use this to determine student achievement levels at the end of units, quarters, or grade levels.
  • High grades can lead students to overestimate themselves.
  • Low grades can lead students to undervalue themselves.
  • Grades and tests are perceived by students and their parents as a judgment of their intelligence.
  • An 86, or a D on a student’s paper does little to help a student improve performance.
  • “Students are under greater stress when taking summative assessments than when they take formative assessments” Sousa 2015 “Because of this stress students’ brain activity goes from concentrating on the emotional tasks of worrying instead of the cognitive tasks that the test requires”.

Formative Assessments

Formative Assessments or rather assessment FOR learning focuses on gathering the information that drives instruction. You learn about student understanding, not just student performance, which makes it different than summative.

Formative assessments are done in small group, whole group, or individually such as with exit tickets, student observations, interviews, and questioning. The Formative 5

Formative Assessments Info…

  • Collecting information and responding to it by modifying instruction.
  • Unpacks student thinking and provides feedback.
  • Results are used to plan and implement activities that address student-specific needs.
  • If the instruction is not adjusted the assessment cannot be considered formative since it did nothing to guide instruction.
  • Should be used to differentiate instruction effectively.
  • Used to check development, not a snapshot more like a streaming video that demonstrates active thinking and reasoning (Van de Walle)
  • Emphasizes learning rather than grading.
  • Opportunity for constant feedback.
  • With these assessments, students are active in their learning.
  • Students are not looking for the grade at the top of their paper and letting that number determine what they are like as a learner.
  • Students are getting feedback from the teachers to show growth.
  • Students should receive more ongoing assessments that use higher-level executive functions.
  • Math Rubrics

What do you notice about your assessments? Are they mostly formative or mostly summative?

Hey Districts! Get It Together

Unfortunately, many districts concentrate primarily on summative assessments. Many districts require that report cards have percent grades. But that does not mean that everything used to assess students needs to be recorded as a grade. The purpose of assessments should not be to categorize, punish, or reward students but instead to push their learning forward (Earl 2012). There is a place for summative assessments. But there is a need for more formative ones. Rethinking Grading

Research states that when formative assessments are done well, there is a significant gain in student achievement. Consistent use of these assessments is parallel to effective instruction. Book- Math Formative Assessment

Some districts do promote more formative assessments, which is excellent. However, talking about it in a professional development setting is not enough. Teachers want to be shown what they look like and how to use them. Educators are often not trained in how to create or give assessments, so they resort to finding pre-made versions from the textbooks or websites. Book- Formative Assessments

It’s easy to understand why classroom teachers stay away from formative assessments. There is no time to generate them. I often hear, “Why should I reinvent the wheel? There are already assessments out there”. The image below is my response to that. Our current assessment wheel does not work if we only focus on summative assessments. Putting in the time to adjust our assessments makes it worth it in the long run for our students and for us.

Summative and Formative assessments each serve a specific purpose. Students should receive more ongoing assessments that use higher-level executive functions. So ask your district to provide you with training on how to create, modify, and balance these assessments.

 

 

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Math Struggles Ain’t Just About Numbers

Let’s be B.F.F.R—math can stress kids out. You’ve seen it: the frozen-in-place stare, the pencil tapping like it’s sending an SOS, or the classic “I CAN’T DO THIS!” meltdown before even trying. But here’s the thing—most of the time, their struggle isn’t about numbers. It’s about mindset.

What if we borrowed some life coaching techniques to help our students not just survive math but actually thrive in it? Let’s break it down into simple, practical ways you can empower your students without turning into a full-blown therapist.

 Reframe the Narrative (A.K.A. Flip the Script on “I’m Bad at Math”)

Ever notice how kids say “I’m bad at math” like it’s their official personality trait? That belief is holding them back more than any tricky word problem ever could.

How to Do It:

  • When a student says, “I suck at math,” respond with: “You’re still learning. Let’s find a way that makes sense to you.”
  • Introduce the Power of Yet: “You don’t get it… yet. But your brain is working on it!”
  • Share stories of people who struggled with math and overcame it (bonus points if you can find famous athletes, musicians, or influencers).

Remind them that they once thought tying their shoes was impossible, and look at them now—shoe-tying pros. Math is just another skill that takes practice.

Teach Emotional Regulation (Because Frustration Is a Math Blocker)

We can’t expect students to push through challenges if they’re spiraling into math-induced panic mode. When frustration kicks in, their brains hit the “I’m out!” button.

How to Do It:

  • Pause & Breathe: Before jumping to the “I CAN’T,” have students take a deep breath. Try “breathe in for 4, hold for 4, out for 4.” Simple, but it works.
  • Break It Down: Instead of tackling the whole problem at once, ask, “What’s one thing we DO know?” Small wins build confidence.
  • Normalize Struggle: Post a sign in your classroom: “Mistakes Mean You’re Learning.” Say it. Live it. Believe it! As Naruto says.

Set Micro-Goals (Because Big Goals Can Feel Overwhelming)

If a kid already feels lost, telling them “just keep practicing” is like saying, “just climb this mountain real quick.” Instead, break it into steps.

How to Do It:

  • Instead of “Get better at multiplication,” set a goal like: “Practice a doubling/halving strategy.”
  • Use progress charts so students can SEE their growth. 
  • Celebrate the small wins! Even if they only got one more right than last time—that’s growth!

Remind them “If you can memorize every single lyric to that TikTok song, you can 100% remember a few math strategies.” 
Honestly research shows long term memory is activated when we leverage different modalities in our lessons. It’s how the brain learns math.

Shift from Performance to Progress (Because Speed Ain’t Everything)

Fluency is about thinking efficiently, not racing to the answer. The goal isn’t to turn kids into human calculators—it’s to help them use numbers flexibly.

How to Do It:

  • Replace timed tests with strategy-based challenges (ex: “How many ways can you solve 12 × 8?”).
  • Instead of praising fast answers, celebrate smart strategies: “Ooooh, I love how you broke that down!”
  • Remind them that even adults use tools like calculators and sticky notes—real math is about knowing how to approach problems, not just getting the answer instantly.

 Teach Self-Talk (Because Their Inner Voice Matters More Than You Know)

The way kids talk to themselves about math shapes their experience with it. If they constantly say, “I can’t do this,” their brain believes it. Time to switch up the self-talk game.

How to Do It:

  • Teach “I can” statements: Instead of “I don’t get it,” try “I don’t get it YET, but I can figure this out.”
  • Have students write down one math strength (even if it’s “I’m good at counting on my fingers” – that’s a start!).
  • Encourage students to talk to themselves like they’d talk to a friend. Would they tell a friend, “You’re dumb at math”? No? Then don’t say it to yourself either!

Emphasize- “You wouldn’t let your best friend talk trash about you, so don’t let your brain do it either!”

Coaching Math Mindsets for the Win

At the end of the day, teaching math fluency isn’t just about numbers—it’s about helping kids believe they can figure things out. When we shift from just teaching math to coaching their mindset, we create students who are not only fluent in math but confident in life.

So, here’s your challenge: What’s one small move you can try this week? Whether it’s shifting self-talk, celebrating small wins, or breaking down frustration, pick one and run with it.

Oh, and if you want more strategies like these, check out my Figuring Out Fluency series, (Book 1) (Book 2) where we make fluency engaging, empowering, and (most importantly) actually make sense.

And if you want more math mindset strategies, grab my Guide For Teachers To Help Students With Growth Mindset