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Written by Susan Milliones on August 24, 2020

Multiple Tiers of Instruction ( Impacts and Problems , MTSS , Planning , special education , Well connected Planning )

How to Write Problem and Impact Statements

math problem solving impact statement

Follow the Yellow Brick Road- The Munchkins

In this post, we will show you how to write problem and impact statements for IEPs and MTSS plans. First, we will define problem and impact statements for IEPs and MTSS Plans. Next, we will look at three steps to writing them with examples. Then, we will show you how to individualize them. Finally, we will provide tips for aligning impacts to services.

Who can forget that scene in the Wizard of Oz when the Munchkins show Dorothy where to put her ruby red slipper on the tip of the Yellow Brick Road? She carefully places her toe on that very first brick and the entire adventure in Oz unfolds from there. Impact and problem statements are kind of like that. They set your whole journey off in the right direction. Yet, many teachers find it difficult to write impact and problem statements. Sometimes they write them as performance gaps. Some read more like need statements or removal justifications. So how can you write better problem and impact statements that will get you started on the right foot?

What is an empathetic problem or impact statement?

An empathetic impact statement is not an analysis of the present level performance gap. It is not a statement of the disability itself. Empathetic problem and impact statements show a deeper understanding of how unique students learn. Good impact statements reflect the student’s learning process. They describe the challenges in parent-friendly language. The impact statement’s purpose is to inform the instructional decisions in the plan.

What is the difference between an Impact Statement and a Problem Statement?

  • An impact statement describes how a disability is impacting learning to the grade-level standard in an IEP.
  • A problem statement describes how a deficit is causing a problem in learning the grade-level standard in an MTSS plan.

Just because a student does not qualify for special education doesn’t mean that the student is not experiencing cognitive challenges. It just means that the cognitive challenges are due to something other than a specific learning disability or other eligibility requirements. All teachers need to know how to address cognitive challenges, whether a student qualifies or not. This is true for two reasons.

The first reason is  learning is a cognitive activity. It is critical that teachers understand how students are learning. How do they absorb information? Can they relate it to prior knowledge? Do they apply it to solve problems or answer questions? Are they successful in completing the expectations?

The second reason is most special education students are served the majority of time in the general setting. When you know how students with disabilities are impacted, you can apply similar strategies to  students with like challenges who do not qualify.  This approach improves the pedagogy of even the most experienced teachers.

What should be in your problem and impact statements?

  • The statement must describe how a deficit or disability is impacting learning the grade-level standards. Grade level standards are not optional. They are required by law for everyone.
  • The statement needs to give meaningful information that informs instruction. The whole purpose of the statement is to describe what exactly the plan will address so the student can progress in the curriculum.

Three Simple Steps

When a student qualifies for special education you need to address the impact of the disability. So, what exactly should be in your impact statement? How could you individualize it? Follow these simple steps to write a compliant impact statement.

First, use your state test or screener to determine the impacted content area. Is it foundational skills? Is it reading comprehension? What about math or written expression? Does the student need social-emotional skills? Then write the first part of an impact statement. You will have one of these statements for each content area impacted.

Wanda’s disability impacts grade-level reading comprehension in informational text…

2. Second, use your benchmark assessments to choose the content area domain.  Is the disability impacting performance in key details or in craft and structure? Is it numbers in base ten or algebraic thinking? Add that next.

Wanda’s disability impacts reading comprehension in informational text in the area of key details.

3. Third, individualize the cognitive impact using the psychological evaluation or observations. Let’s look at how to do that next.

How to Individualize the Impact Statement

math problem solving impact statement

Let’s say Wanda has a memory deficit. Her impact statement might read like this:

Wanda’s disability impacts reading comprehension in informational text in the area of key details. She has difficulty remembering key details to form an inference.

What would this impact statement look like if verbal comprehension was the biggest deficit? Let’s see.

Wanda’s disability impacts reading comprehension in informational text in the area of key details. She has difficulty understanding how key details are related to prior knowledge and experience in order to support an inference.

What if fluid reasoning was the biggest deficit?  

Wanda’s disability impacts reading comprehension in informational text in the area of key details. She has difficulty identifying relevant key details and organizing them to support an inference.

Processing speed?

Wanda’s disability impacts reading comprehension in informational text in the area of key details. She has difficulty processing key details efficiently and is slow to form an inference.

Of course, each of these impact statements will align with goals, services, and accommodations that address that particular impact.

How to individualize your impact statement one step further

You can individualize your impact statements one step further. Look at the scale score compared to peers. Then, simply add an adverb that means something. For example, Wanda’s working memory score is above 80. You could just leave the word “impacts” in the impact statement. What if her working memory score is 70-80?  You can cue the team that she may need more support. Just add the adverb “considerably” impacts.  What if her score is below 70? You might say Wanda’s disability “severely impacts.” For Dot It users, you will notice that the recommendations for level of service in Dot It is already linked for you.

This is not meant to be a cute trick. Describing impacts this way helps teams recognize the intensity of the impact. From there, the team can consider the level of services needed.

How empathetic problem and impact statements can lead to better service

Your plan is driven be an empathetic problem or statement. Understanding cognitive challenges makes it easier to understand impacts across content areas. For example, Wanda may have difficulty recalling math facts, retaining the directions for doing group work, or forgetting the purpose of a writing assignment. Her IEP could include conditions at the beginning of a goal such as “given opportunities to repeat directions and multisensory strategies, Wanda will…” Sensible accommodations could include chunking, pre-teaching, or anchor charts for group activities. 

Teaching learners with cognitive challenges takes brains, hearts, and courage. Empathetic problem and impact statements lead to services that will help students overcome their unique challenges so they can put their best feet forward.

Susan Milliones

If you would like to connect with me, just click here or send me a message on LinkedIn.

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Mary Resanovich

4 ways to engage students with writing in math class

math problem solving impact statement

I’ve been a champion of the importance of writing in math class for a long time.

My first classroom position was teaching sixth-grade science at an elementary school. I had a great curriculum with a lot of hands-on exploration of phenomena that both my students and I loved. The one thing missing, though, was a real reading and writing component. So, I created an introductory unit on science writing. It involved teaching students explicitly how to make and record detailed observations and clearly explain the rationale for their inferences. I worked with the school librarian to get access to age-appropriate science magazines and had students read and respond to articles regularly. As someone who loves to write, it made sense to me to incorporate writing into all areas of the classroom.

I brought this interest in content-area writing along when I transitioned to teaching third grade. That curriculum had plenty of opportunities to write in science and social studies. However, I noticed that beyond the typical “Explain how you solved the problem” prompts, there was very little writing in math. When I excitedly asked my new grade-level colleagues if they used math journals, they looked at me as if I had spoken to them in another language. The idea of writing in math seemed somewhere between unnecessary and ridiculous to them.

Thankfully, teachers have become much more open to writing in math class since then. NCTM’s 2000 publication “Principles and standards for school mathematics” helped drive this connection by including communication as a key component of mathematics learning. NCTM framed mathematical communication as “a way of sharing ideas and clarifying understanding. Through communication, ideas become objects of reflection, refinement, discussion, and amendment. When students are challenged to communicate the results of their thinking to others orally or in writing, they learn to be clear, convincing, and precise in their use of mathematical language.” Since this publication, most college-and-career ready standards have incorporated the need to communicate mathematical ideas into their math practice standards.

Why is writing in math class important?

The act of writing involves examining, organizing, reconsidering, and synthesizing one’s ideas. Writing is a “knowledge transforming” process that involves both the retrieval and encoding of ideas and concepts in our memory. As stated in the NWEA stances on writing , “Writing is a cognitive, nonlinear process that serves as a tool for learning and critical thinking, stimulating the writer to think more deeply about a text, topic, or concept. In this way, writing doesn’t just show thinking; it is thinking, and it is an essential practice across disciplines.”

Research has demonstrated the impact of writing in furthering mathematical understanding. A 2020 meta-analysis of research on writing in the content areas of math, science, and social studies showed that writing to learn in each of these subject areas “reliably enhanced learning” with an effect size of 0.30. Another meta-analysis focused on writing specifically in math found an even greater effect size of 0.42.

Writing in math class can both uncover and potentially improve students’ attitudes toward the subject. A 2014 study involving students with high math anxiety found that when students wrote expressively about their thoughts and feelings prior to an exam, the difference in performance between low and high math anxiety students was significantly reduced relative to the control group in which students did not engage in pretest expressive writing.

There’s more than one write way

At a high level, there are two different ways to think about writing in the math classroom. One way is a writing-first approach, where the focus is on improving student writing, and math is a topic that is used to support this. The other approach is math-first, where writing serves as a tool for helping students learn and integrate mathematical content.

Naturally, with a writing-first approach there is more emphasis on drafting, revising, and honing writing. In a math-first approach, which will be the focus of this article, revisions are less common. While students should be taught and coached on how to articulate mathematical ideas and arguments clearly, revisions are more about recording shifts in students’ thinking about the mathematical content than they are about mechanics or style.

Within the math-first approach, there are many ways to incorporate writing in math class. I’ll dig into four of them here.

1. Eliciting impactful explanations

Let’s start by examining the aforementioned “Explain how you solved the problem” prompts found in many teaching materials.

You are likely familiar with the tepid and uninformative responses these questions can elicit if students are not taught how to unpack their mathematical thinking. Without coaching and modeling, students are likely to simply list the series of steps they took to solve the problem, rather than explain why they chose that approach, identify challenges they encountered and decisions they made along the way, and say how they determined their answer was reasonable. Just as I had done when teaching science, I realized I needed to explicitly teach my students to explain how they approached and solved a problem. This instruction went hand in hand with developing a classroom culture where students felt comfortable explaining their thinking orally, asking and answering questions of one another, and defending their mathematical thinking.

To start, when solving a problem, I would model my own mathematical thinking on chart paper. I did this in a double journal entry style, solving part of the problem on one side of the paper and then recording my thoughts and decisions on the other side. Capturing decisions, missteps, mistakes , and course changes is a great way to model the math practices , particularly making sense and persevering in problem-solving. It is also a great way to model that the problem-solving process may not always be linear and that mistakes are normal and can lead to deeper understanding.

Writing in math class can both uncover and potentially improve students’ attitudes toward the subject.

After I finished, I would allow students to ask questions about what I wrote and I would use this to add to my writing, or I would annotate what to include next time. As students started writing on their own, I would share less-than-exemplary examples that I had created, alongside high-quality student examples. First as a whole class and then later in pairs, students would highlight the differences between the pieces and we would annotate the poor examples to show how to improve them. This included sharpening mathematical vocabulary, discussing models that could support the written text, and adding details for clarity. Finally, as students gained more confidence in their writing, I would pair students who solved the same problem using different approaches. The students would read each other’s explanation and then ask questions to help clarify the other student’s writing. Because these were not formal writing pieces, students didn’t necessarily need to rewrite their explanations; however, they at least needed to take notes of what might help make their explanations clearer next time.

The power of connecting writing and problem-solving was well summed up by the authors of “Aiming for understanding: Lessons learned about writing in mathematics” : “Writing during problem-solving instruction was introduced to help us assess our students’ thinking, but…we concluded that writing about problem solving and reading others’ thoughts…actually helped our students develop a deeper understanding of the problem-solving process. What began as an assessment tool was now being recognized as an instructional tool. We were beginning to view writing as integral to the teaching of mathematics concepts.”

2. Providing a formative foundation

Mathematical writing can be a rich vehicle for formative assessment , and it can be employed before, during, or after a lesson or unit. For example, before starting a unit on fraction addition, you might assign a 5–10 minute quick write in which students record everything they know about fractions. Reviewing the writing can give you more insight into student understanding than a quiz, which is inherently limited in terms of content included. The knowledge you uncover about your students can help you tailor interventions and small- and large-group lessons to where students are in their conceptual understanding of fractions. The process of recall leverages spaced retrieval practice , which helps with long-term retention of information. Recalling related past concepts also primes students to connect previous content to new content, a topic I’ll discuss in the next section.

During the lesson, you can convert the traditional “Think, Pair, Share” activity into a “Think, Write, Pair, Share” activity. The writing can be done either on individual whiteboards or in a notebook, if you’d like to save the students’ writing. Adding writing to this protocol can give students more time to process their thinking. Additionally, if the writing is recorded in a journal, later in the unit students can be asked to reread earlier entries to reflect on how their thinking has changed or deepened.

Finally, end-of-lesson quick writes where students record the three most important things they learned, identify and define key vocabulary in their words, or comment on a particular student’s explanation or response can serve both as an assessment of student learning and a way for students to synthesize their new knowledge.

3. Making connections

Despite how many of us were taught it, mathematics is all about connections. Connections, along with communication, is one of NCTM’s five process standards . Students at all levels should be able to recognize and “understand how mathematical ideas interconnect and build on one another to produce a coherent whole” as well as how they connect to the wider world. I discussed why making connections is so critical in “Maximum impact: 3 ways to make the most of supplemental content.” Math journals and writing prompts are a great way to have students look for connections among concepts.

Varying degrees of scaffolding can be used to help students make connections. You can directly ask them to do a quick write that compares two concepts, such as multiplying whole numbers and multiplying a fraction and a whole number. Or, prior to starting a new unit, students could be asked to write down everything they know about a concept related to the upcoming unit. For example, if students are starting a unit on multiplication, you can ask them to write everything they recall about arrays. As you move through the unit, you can ask questions to explicitly help them see the connection between arrays and multiplication.

You also want to provide prompts that allow students to find their own connections between concepts. Having students create concept maps is a great way to have them show connections between concepts. Simple sentence starters or sentence frames like “Division reminds me of…” or “Volume is similar to ______ because ______. Volume is different from ______ because ______” give students the freedom to make their own connections. In their article about improving writing prompts in mathematics , authors Craig Sjoberg, David Slavit, and Terry Coon share a simple three-part prompt to help students make mathematical connections:

  • Explain at least one thing you learned in math this week.
  • How does your answer connect to other mathematical ideas?
  • How do these ideas connect to the real world?

4. Supporting metacognition

In addition to all the ways to have students share their mathematical understanding, I also liked to use math journals as a means of reflection. Students can be prompted to consider how they engaged with an activity or a discussion, reflecting on what helped to move their thinking along, what may have confused them, and more. This can help them understand how they learn best.

Metacognition, or the awareness and regulation of your own thought processes, is a key component to creative problem solving (as opposed to rote following of procedures). There are several ways to incorporate this type of reflection into math class:

During a lesson

If you have students take notes in class, you can teach them to engage in note-taking/note-making activities where they write the main idea on one side of the paper and their thoughts, reactions, and connections on the other side of the paper.

After a lesson

Have students respond to one of the following prompts:

  • Did you have any lightbulb moments during that lesson? What led to that moment?
  • Is there anything that is still confusing to you?
  • What did you know or think about this topic before today? How has your understanding changed?
  • How might you have presented this topic to someone else?
  • Did you need more time to work today? Was the activity too long or just right?

At the end of the week or at the end of the unit

Ask students to reflect on specific activities, lessons, or conversations they engaged in:

  • Which one was the most interesting to you?
  • Which one helped you understand something better? What did it help you understand better and why?
  • Which one changed your thinking about a mathematical idea?
  • Did any confuse you or leave you with new questions?

The wide world of mathematical writing

I have touched on only a few ways to think about writing in math class. Thankfully, there is an abundance of resources to help you explore a wide variety of ways to get your students writing about math. Here are just a few of them.

  • “5 ways to use writing in the disciplines to support learning” This Learn. Grow. Post delves into ways to infuse writing in all content areas.
  • “Writing in math” This article by Marilyn Burns provides examples of how to integrate writing in math class.
  • Using writing in mathematics to deepen student learning This guide discusses the research supporting writing in math, explores different approaches to math writing, and provides prompts and samples of student writing.
  • “8 ways to pose better questions in math class” Although the focus of this article isn’t strictly on writing, the tips and prompts provided can be applied to writing.
  • “Integrating writing and mathematics” This Reading Rockets article shares multiple strategies and examples of student writing in math class.
  • “Write on” This NCTM article discusses four categories of mathematical writing and provides prompts for each type.
  • “Talking, writing, and reasoning: Making thinking visible with math journals” This Read Write Think lesson models how to incorporate journals into math activities and includes prompts designed to uncover students’ attitudes and dispositions toward math.
  • “Journal prompts for elementary students” This resource contains three pages of math writing prompts.

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IMAGES

  1. What IS Problem-Solving?

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  2. Teaching Problem Solving in Math

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  3. Solving Our Problem With Math

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  4. 😊 Problem solving in math examples. Mathematics Through Problem Solving. 2019-02-09

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  5. Providing Quality Math Problem Solving Experiences

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  6. Problem Analysis in Math: Using the 5-Step Problem-Solving Approach

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VIDEO

  1. Writing an effective Problem Statement

  2. Unit 4, Lesson 8 Practice Problems (7th Grade Illustrative Math) IM 7.4.8

  3. Problem Solving

  4. How Problem Statements Lead to Objectives / Goals?

  5. Solving Single-Step Equations Using Addition & Subtraction: Improve your Understanding

  6. How to Solve Equations: Word Problem Applications 1

COMMENTS

  1. Level Up Your IEP Impact Statements - Sped Prep Academy

    Get everything you need to effectively and confidently craft IEP impact statements right at your fingertips. It's a game-changer for special education teachers looking to enhance their IEP writing skills. This guide is the key to unlocking a new level of understanding and skill.

  2. Grant County Schools Home

    IEP Impact Statement Guide h Ltn://data.nyadisoncitv.kvl 2. al. WFŒN ADDRESSING THE PROBLEMS TO BE SPECFIC TO TI-Œ NEEDS/CONCERNS OF THE STUDENT. Problem that interferes with learnina Poor memory Lack of retention Incomplete mastery of basic facts Lack of understandina of basic concepts Inabiliíy to understand abstract concepts/ materials

  3. How to Write Problem and Impact Statements - Dot It

    First, we will define problem and impact statements for IEPs and MTSS Plans. Next, we will look at three steps to writing them with examples. Then, we will show you how to individualize them.…

  4. Writing the IEP Elements.ppt

    IMPACT (REVISED): Max’s specific learning disability impairs his ability to do mathematical calculations which impacts his involvement and progress in the general education curriculum. Writing Present Levels of Academic Achievement and Functional Performance Multiple Measures • Curriculum/Standards Based Tests • Teacher Input/Observations

  5. H o w d o e s m i n d s e t i m pa c t m a t h e m a t i c a ...

    How does mindset impact mathematical performance? Why is mindset important in math? How do teachers build positive mindsets about math? Studies have found a significant relationship between mindset and math achievement.

  6. 4 ways to engage students with writing in math class

    It is also a great way to model that the problem-solving process may not always be linear and that mistakes are normal and can lead to deeper understanding. Writing in math class can both uncover and potentially improve students’ attitudes toward the subject.

  7. Specially Designed Instruction (SDI): Mathematics

    - Flowcharts to plan strategies for problem solving - Additional examples and explanations - Use of graph paper or color coding to organize answers to math problems

  8. High-Impact Instructional Practices in Mathematics

    This resource focuses on practices that researchers have consistently shown to have a high impact on teaching and learning mathematics (see meta-analysis by Hattie, Fisher, Frey, et al., 2017).

  9. Recommendations for Progress Monitoring in Mathematics by ...

    Body of Evidence for Progress Monitoring Mathematics A body of evidence to progress monitor mathematics includes progress data from all three pillars of mathematics: procedural skills and fluency, conceptual understanding, and applications. Pillar 1: Procedural Skills and Fluency

  10. Improving Math Performance (PDF) - U.S. Department of Education

    Mastery of computation is balanced with problem solving, applying mathematics, and making real world connections. As in all Blue Ribbon Schools, quality teachers, parent involvement, and a coherent progression from grade to grade are key to student success.