Math Framework for Differentiation

Differentiation in the math classroom requires some intentional planning to address the various readiness levels of students in the classroom. Here is a template to help create a canvas for differentiation for an upcoming unit or topic. By creating a framework, it allows students to enter learning at their level while ultimately having the goal to move students to a higher level of challenge. Click on the image below to download a copy.

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Here is an example of a completed math framework. This example has many varied activities to address the different readiness levels of students. The goal is to pick and choose resources and ideas that keep the level of challenge appropriate. Recycling these skills throughout the school year by revisiting the framework can benefit students. After a unit, it is important to go back and reflect on what worked and what did not work. With each school year, the framework may need to be tweaked based on the readiness levels of students. Click on the image to grab a copy.

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To begin, start with the standards. It is important to integrate content standards and Standards for Mathematical Practice. By flipping the standards to "I Can..." statements, it makes them more accessible to students.

Keeping a pulse on student readiness helps drive differentiation throughout a unit or topic. It is important to identify that zone of proximal development for students where there is the right amount of challenge where learning takes place ~ not too easy, not too hard. To address student readiness levels consider varying the challenge for students and having students choose the "right fit" when completing problems.

Varying the challenge for students can be accomplished through "What's Your Path?" This structure is designed prior to a unit of instruction. To design a "What's Your Path?" for a unit consider your curricular resources and other supplemental materials that will provide the right amount of challenge for students. It is helpful to use preassessment data when crafting the paths. Based on student readiness, students can enter either Path A or Path B. Path A being the on level skill/standard; Path B allowing for the extension of a particular skill. The goal to keep in mind is that entering the paths is fluid for students based on readiness at any given time during a unit. Click on the image below to grab a copy.

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Choosing the Right Fit is another way to address the various readiness levels of students in the classroom. When students are asked to problem solve simply remove the numbers and wa-la, you have created a differentiated task. The integrity of the math problem does not change. Only the numbers do. Differentiated sets of numbers can be added for students to then "choose the right fit." In this way, students have some control over the level of difficulty. Or, all numbers can be removed.  Students drive for understanding by choosing "right fit" numbers that they feel are an appropriate challenge for them. Sometimes when students select their own numbers, they may find that their chosen numbers will not necessarily work with the problem. What a great learning experience for them to discover!



Get to Know Students as Mathematicians

There are three student surveys teachers can use to help students understand themselves as mathematicians. Students fill in the bars based on their perception of each criterion.

Get to Know Students as Mathematicians

Getting to know your students as mathematicians and understanding their math identities can help you plan effective differentiation and create a classroom community that supports students in productive struggle. As teachers, we can gather data about our students through observations, class performance, and by asking students to reflect upon themselves as mathematicians and share their unique math identities. 

Surveys for Student Reflection

Here are three surveys students can complete to reflect on who they are as learners. Students shade the heights of the bars to represent how each criterion relates to them. Incorporating color and display elements can spotlight learners as mathematicians. This metacognitive reflection encourages students to create a voice and leave an imprint as learners. As teachers, we gain insight into their math identities and how we can best support them in the classroom.

1. My Math-o-Meter

Students can use My Math-o-Meter to rank their comfort level with each concept. It can highlight areas where students feel strong and areas where they may need more support.

My Math-o-Meter is a survey students fill in based on their perceived confidence in each of the concepts. Students will in the bars accordingly.

2. The Math Survey: Show What I Know in Math

This survey helps students reflect on how they best learn math. It can reveal whether students learn best through visual aids, hands-on activities, or verbal instructions. As teachers, we can tap into our aspiring mathematicians' learning styles and support them through math challenges with intentional teacher moves.
Math Survey on a clipboard for students to fill out based on ways they feel they are most confident with showing what they know in math.

3. MI Math Chart: To Show What I Know

The MI Math chart encourages students to reflect on and rate their learning preferences to demonstrate their understanding. This survey helps students identify their strengths across different intelligences, such as logical-mathematical, visual-spatial, and bodily-kinesthetic. Students become more aware of how they learn best, and teachers can offer multiple ways for students to access content to enhance learning.

This multiple intelligence survey is another option to have students reflect on ways they best show what they know.

Having students fill out these surveys at the beginning, middle, and end of the year can help them reflect on their growth and how they have evolved as learners. These surveys can also be shared with parents to help them understand their children's perception of themselves as learners. This can foster collaboration and home support. Click here if you want to try these surveys with your students.

Math Autobiographies

Have students reflect on their math experiences, the highlights and the challenges. Keeping the task open-ended allows students to express their thoughts in a manner that is natural to them. Have you ever written your own math autobiography to share with your students? Math autobiographies can be used to gain insights into students' perceptions about their journeys through math as you work to build a strong classroom community.

Journaling in Math

Have students reflect on the day's lesson or the content they are learning about. Try a 3-2-1 strategy where students jot down three things they learned, two connections they made to prior knowledge, and one challenge or question they encountered during the lesson. Changing up the prompts can help gain deeper insight. Keep journaling short and flexible to ensure it remains a manageable and meaningful task. 

Classroom Observations

Observe and document how students engage in discussions and group activities. Note whether they sit back and listen to others or if they dominate the discussions. Pay attention to their willingness to persevere when faced with challenges. Assess if they can support their classmates without simply giving away the answers. Monitor their willingness to take risks and make mistakes in math.

Students as Mathematicians Posters

These 12 colorful and inspiring mathematicians' posters are the perfect way to remind your students that they, too, ARE mathematicians. Plus, you will find four Math and Me interest and attitude inventories! Click the image to take a peek.

Color and black/white mathematicians posters to hang in the classroom to remind students they, too, are ALL mathematicians.

Understanding students as mathematicians is a dynamic process that involves student reflection, data gathering, and thoughtful application of collected insight. As teachers, we can meet students where they are at in ways that complement their unique mathematical backgrounds and experiences.

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