Mastering Elementary Math: The Power of MathReps and Math EduProtocols Series Finale Pt. 10

MathReps and Math EduProtocols have been an incredible journey! We’ve delved into a plethora of aspects, ranging from understanding and implementation to assessing and monitoring, all while uncovering inspiring success stories. And guess what? The evidence is crystal clear – these strategies are absolute game-changers! Brace yourself for mind-blowing results in record time! Picture this: classes effortlessly grasping concepts and expanding their knowledge bank in the blink of an eye! Not to mention, students gaining solid confidence and forging natural connections left, right, and center! If you’re a fan of John Hattie and his work on Effect Size, get ready to be blown away because Deliberate Practice registers an awe-inspiring 0.79 Effect Size! And wait, there’s more: Rehearsal and memorization follow closely behind with an impressive 0.73 Effect Size! So, dear reader, don’t wait a second longer – dive into the world of MathReps and Math EduProtocols and revolutionize your classroom experience, starting today!

If you’re excited to explore more and take advantage of all the amazing resources available, you’re in for a treat! Dive deeper into the world of MathReps and Math EduProtocols by checking out the complete series starting with Pt. 1 or jump to getting started with MathReps in Pt. 4. For those who prefer a slower start with Math EduProtocols, be sure to jump into Pt. 7 of the series. But that’s not all! Visit mathreps.com for all templates and be sure to join our math-focused Facebook group to engage with a vibrant community of educators. Don’t forget to join the EduProtocols Community Facebook group too. You can also find us on various social media platforms like Instagram and TikTok, using the hashtags #MathReps and #EduProtocols. Excited for more? We’ve got you covered with a fantastic range of books to explore, including my personal favorite, The EduProtocols Field Guide Math Edition! The possibilities are limitless, so don’t miss out on this incredible opportunity to enhance your mathematical journey. Happy exploring!

Mastering Elementary Math: The Power of MathReps and Math Eduprotocols Success Stories Pt. 9

After creating MathReps in 2016, I quickly saw the benefits. One of the first ones I created dealt with 5th-grade multiplication and division. That year, I saw many students succeed in connecting the area model of multiplication to the traditional algorithm. In addition, there was a student who connected the partial quotient to the traditional algorithm in division. I can still see where the student was sitting and the conversation that we had.
Me: (pointing to the division problem done using the traditional algorithm) Can you tell me about this?
Student: Sure, I used the toolbox area to do some additional multiplication to help me.
Me: Did someone show you how to do this?
Student: No, I noticed that I could come close to the first two digits of the dividend if I multiplied the divisor. Then, I could subtract and do it all over again using the next two digits [the traditional remainder plus bringing down the next digit].
Me: 😲

Yeah, that was a mind-blowing moment. The student had made connections on their own based on repeated exposure and naturally made the leap to the traditional algorithm. I was blown away!

After that, I have been truly amazed by the countless teachers who have found great success using MathReps and Math EduProtocols in their classrooms. What started as a resource created solely for my own students has turned into something much bigger. I love to share, and it’s been incredible to see teachers from all over reaching out with their own success stories. One example that stands out is a 3rd-grade team who saw amazing results with MathReps. Join the growing community and discover the power of MathReps and Math EduProtocols for yourself!

I have compiled a few postings of what others have to say. If you’d like to see more, you can see them on this Wakelet.

Mastering Elementary Math: The Power of MathReps and Math Eduprotocols Assessing Progress Pt. 8

In today’s rapidly evolving educational landscape, tracking student progress is not only crucial but also an empowering tool for both teachers and students alike. In a previous post, we delved into the remarkable results achieved by a 3rd-grade team that implemented effective data tracking methods. However, we barely scratched the surface of the “how.” So, let’s take some time to explore the intricacies of tracking student data and discover how you can leverage these strategies in your own classroom. By examining the practices of the 3rd-grade team, who expertly utilized a combination of pre and post-tests, spreadsheets, and repetition, we’ll uncover the power of John Hattie’s work and the Achievement Teams framework pioneered by Steve Ventura. With a focus on MathReps and Math EduProtocols, these methodologies not only lower student anxiety but also provide invaluable insights to drive targeted instruction. Join us on this journey as we unravel the secrets of effective data tracking and witness the profound impact it can have on the learning process.

To effectively track data and student progress, we will discuss the first method utilized by the 3rd-grade team.

  1. Begin by selecting a MathReps or Math EduProtocol activity that aligns with the learning objective. Choose the most appropriate one that suits the needs of the students.
  2. To ensure that students feel more confident and less intimidated by the material, engage in some pre-teaching before conducting the pre-test. This will help familiarize them with the concepts and reduce anxiety.
  3. After administering the pre-test, log the data obtained from each student in a spreadsheet. This spreadsheet can help calculate a goal and later reassess their progress.
  4. After completing the MathReps or Math EduProtocol activity, encourage the teachers to post the group’s pre-test scores, along with a pie chart and percentage goal, in a visible location for the entire class to see. This allows students to be a partner in the learning and growing process.
  5. Once the pre-test data is collected, it is time to get in those reps! The cycle the teachers used in this case was roughly 10 days.

By following these clear steps, the data collected from the pre-test, as well as the subsequent activities, will help guide the teachers’ instruction and provide the students with a clear sense of purpose in their learning journey.

The guide below is a second method of tracking data and leveraging strategies:

  1. Select a MathRep or Math EduProtocol: Choose a suitable MathRep or Math EduProtocol that aligns with the learning objective.
  2. Introduce the Reflection Sheet: Provide students with a reflection sheet, either for daily or weekly use, to empower them in driving their own learning.
  3. Track Group Progress: Collect assessment data at the end of the week to monitor the progress of the entire group.
  4. Display Progress Openly: Create a visible display in the classroom to showcase the group’s progress based on the assessment data.
  5. Establish Goals: Collaborate with the class to define goals to strive for. These goals should include a specific percentage of proficiency and a target date for achieving them.

Using either of these methods can empower your students, unlock their full potential, and cultivate a strong sense of fulfillment in their own learning journey. With teachers equipped to personalize instruction and address individual needs, the path to student triumph becomes clear. Which approach will you take?

Mastering Elementary Math: The Power of MathReps and Math Eduprotocols Implementing Math EduProtocols Pt. 7

Implementing Math EduProtocols requires a unique approach compared to implementing MathReps or other EduProtocols. While with MathReps, we adopted a gradual approach and collaborated daily, and with traditional EduProtocols, it is advised to kickstart with a non-academic activity; neither of these methods aligns perfectly with Math EduProtocols. To ensure a smooth process, I recommend starting with a math skill that is slightly below the current grade level. This will allow students to fully engage in the new protocol without feeling overwhelmed by having to learn a new math concept. Another distinction from MathReps is that Math EduProtocols are not designed for daily use. Depending on the chosen Math EduProtocol, it may be implemented once a week to up to three times per week.

Implementing Math EduProtocols in the classroom can greatly enhance student engagement and creativity in math. Here are some important points to consider when introducing these protocols:

  1. Choose a New Math EduProtocol: Start by selecting one new Math EduProtocol to implement in your classroom. For example, you can begin with “Sous Chef” or “Curiosity Creator”.
  2. Start with Familiar Skills: It’s crucial to start with a math skill that is already known to the students, but perhaps below grade level. This will help them establish a foundation and build confidence in using the Math EduProtocols effectively.
  3. Master One Protocol at a Time: It’s essential to focus on mastering one Math EduProtocol before introducing a new one. Allow students ample time to practice and become comfortable with the chosen protocol. This approach ensures a solid understanding and implementation of each Math EduProtocol.
  4. Similarities to Non-Math EduProtocols: Note that some Math EduProtocols share similarities with non-math EduProtocols. For instance, “Sous Chef” is a math version of “Iron Chef.” Highlighting these connections can help students transfer their knowledge and skills from non-math subjects to the math classroom.

Remember, there are several Math EduProtocols to choose from, each providing a unique function in making math more engaging and creative. By following these guidelines, you can effectively implement Math EduProtocols and foster an environment conducive to active learning and mathematical exploration in the classroom.

To find out about more Math EduProtocols visit mathreps.com or purchase The EduProtocols Field Guide: Math Edition.

Mastering Elementary Math: The Power of MathReps and Math Eduprotocols The Benefits of Math Eduprotocols Pt. 6

Using Math EduProtocols in your math class offers numerous benefits. These protocols not only provide a consistent format but also foster collaboration, problem-solving, and critical thinking. By incorporating Math EduProtocols, you can engage your students in a systematic approach to problem-solving and encourage them to record their thoughts using Comic Strip Math. Furthermore, EduProtocols like Nacho Problem promote critical thinking by analyzing errors, while Sous Chef and Chatterbox encourage student collaboration. These protocols provide a refreshing and engaging alternative to traditional math lessons that often lack consistency and creativity. By using Math EduProtocols, you can transform your math class into an exciting and stimulating learning environment.

Mastering Elementary Math: The Power of MathReps and Math EduProtocols Pt. 5 Understanding Math EduProtocols

MathReps is the foundation of my daily math class activities. It serves as the basis for what I do, but I believe in the importance of incorporating variety. That’s why I decided to expand my usage of EduProtocols into the realm of math.

While MathReps are considered an EduProtocols, they have a broader scope. MathReps are specific to standards and skills, while EduProtocols offer a framework that can be used with any standard, grade level, or curriculum. As a result, Math EduProtocols are math-focused frameworks that can be applied across various standards, grade levels, and curricula.

There are several engaging Math EduProtocols available to enhance math education. These EduProtocols provide structured activities that engage students and promote critical thinking and problem-solving skills. Let’s take a closer look at two popular protocols: Comic Strip Math and Nacho Problem.

  1. Comic Strip Math: This protocol introduces a narrative element to math problems, making them more relatable and enjoyable for students. In Comic Strip Math, students are presented with a problem to solve or an opportunity to practice error analysis. The protocol includes a villain character called “Master of Dark” and a hero character representing the student. The problem is broken down into different cells, allowing students to systematically work through the steps or explain their thought process. By utilizing this protocol, students not only solve math problems, but also develop storytelling skills and learn to break down complex tasks effectively.
  2. Nacho Problem by Ligia Ayala-Rodriguez: Based on the popular writing strategy “Nacho Paragraph,” Nacho Problem is designed to enhance error analysis and problem-solving abilities. Students are given a problem that has been solved incorrectly, and their task is to record their problem-solving process and identify the error in the original solution. By engaging in Nacho Problem, students learn to analyze mistakes, strengthen their critical thinking skills, and develop a deeper understanding of mathematical concepts. This protocol encourages students to think beyond correct answers and promotes a growth mindset towards learning.

Integrating these exciting Math EduProtocols into the classroom can have several benefits. Firstly, they make math more engaging and interactive, capturing students’ attention and motivating them to actively participate in learning. Secondly, these protocols promote collaboration and communication among students as they discuss their problem-solving strategies and compare their comic strips or error analysis. Thirdly, by breaking down problems into smaller steps or analyzing errors, students develop problem-solving skills, critical thinking abilities, and a deeper conceptual understanding of math. Overall, the use of Math EduProtocols fosters a positive learning environment and enhances students’ mathematical proficiency.

Mastering Elementary Math: The Power of MathReps and Math EduProtocols Pt. 4 Implementing MathReps

Getting Started with MathReps in Your Classroom

Here’s a suggested way to get started:

  1. Choose the Best Template:

    • Browse through the available MathRep templates and select the one that aligns with the specific skills your students need to practice.
    • Consider their proficiency level and the learning objectives you want to achieve.
  2. Introduce the Template and Work Through It Together:

    • Start by providing a brief explanation of the MathRep template to the class.
    • Guide your students through the process of completing the MathRep a few times together.
    • Break down the steps and demonstrate how to approach each section of the template.
    • Encourage students to ask questions and clarify any doubts they may have.
  3. Daily Practice for the First Week:

    • During the initial week, make MathReps a part of your daily math routine.
    • Assign the MathRep as a class activity and have students complete it with you.
    • Spend time reviewing and discussing the answers as a class, this emphasizes immediate feedback.
    • Use this opportunity to address misconceptions and reinforce problem-solving strategies.
  4. Independent Completion in Subsequent Weeks:

    • After the first week, assign MathReps for independent completion by each student.
    • Encourage students to work on MathReps at their own pace, within a given timeframe (following Parkinson’s Law).
    • Provide support to struggling students while encouraging higher achievers to challenge themselves.
    • Checking immediately with students provides crucial feedback.
  5. Weekly Assessment to Track Class Mastery:

    • Every Friday, use the MathRep template as a weekly assessment tool.
    • Collect and review completed MathReps to assess student progress and understanding.
    • This will help you identify areas where the class as a whole may need additional support or where mastery has been achieved.
  6. Transitioning to New Templates:

    • Once your class has demonstrated mastery of the current MathRep template, consider introducing a new template with new skills.
    • Gradually increase the complexity and challenge of the MathReps to keep students engaged and continually progressing.
  7. Review
    • Spend time reviewing previously used MathReps templates.
    • After students have become familiar, but not proficient, with a new template, spend a week reviewing a previous template.
    • This allows for the learning to ‘stick’.

Remember, adapt these steps as needed to suit the unique needs and learning environment of your classroom. MathReps can be a powerful tool for promoting mathematical proficiency and fostering student growth. Happy math practicing!

3 Reads Protocol

The “3 Reads Protocols” is a highly effective technique among the 8 Mathematical Language Routines. This strategy encourages a comprehensive understanding of word problems through a structured approach. In this activity, the problem is read three times, but it entails more than simple repetition. During the first read, the focus lies on comprehending the problem’s narrative. To aid in this process, teachers often conceal quantities and questions, enabling students to concentrate on comprehension rather than immediately diving into mathematical calculations. In the second read, teachers reveal the hidden quantities, redirecting students’ attention towards analyzing these values and their associated units, consequently deepening their grasp of the problem’s context. The final read diverges into two possible paths. If a question is provided, it is read aloud, and students formulate a strategic plan to tackle it. Alternatively, if no question is given, students are prompted to generate a list of inquiries themselves. Personally, I advocate for the latter approach, as it not only boosts student engagement but also fosters natural differentiation. In this scenario, students select a question from the generated list to solve. Remarkably, I have seldom witnessed students opting for an easy way out; rather, they frequently rise to the challenge by choosing appropriately challenging questions for themselves.

Today I was able to visit a 3rd-grade classroom in which the teacher was practicing this routine with their students. The teacher began by accessing the students’ prior knowledge about squirrels. The teacher then read the story (minus quantities) to the students. With partners, they discussed what the story was about. This can be hard for some students in the beginning. They know it’s math and naturally start looking for problems to solve. The students went through the steps and enjoyed themselves. After generating a list of questions, the group decided to answer the same question: How many acorns did each squirrel carry to get the pile of 24 acorns?

The struggle began as the teacher and I observed the students grappling with the task. We decided to give them some time to develop their own strategies before intervening. Many of them struggled to find a clear direction. Some counted the number of acorns squirrels can carry, reaching a total of 10. However, they seemed unsure about what to do next. Sensing the need for guidance, we asked the students to explain their thinking process. It was at that moment when a student appeared to have a promising approach. We asked him to elaborate on his reasoning. With a little clarification, he successfully explained that the black squirrel carried 15 acorns, while the gray squirrel carried 9 acorns. Surprisingly, the student didn’t mention the brown squirrel; technically, it carried 0 acorns. Another student followed suit and broke it down in a slightly different manner:

BrownBlackGray
253
253
121
Taking it one trip at a time

Doing it this way, the student was able to organize their thoughts and solve the problem in smaller chunks. At this point, we stopped the class to celebrate some early successes. With permission from the students, we shared each strategy pointing out how they are different yet correctly answered the question. By having the students explain their thoughts and showcasing some strategies this allowed struggling students to begin making sense of how to begin to tackle solving the problem. While some students still struggled others found similar strategies and were able to begin solving the problem.

The students agreed that this task was difficult, but fun. From our perspective, the students were engaged. As this was not the first time that students had experienced this, we can see small gains being made in the area of word problems. This is a protocol that the teacher plans to continue to use throughout the year.

8 Mathematical Language Routines

I have been on a journey to educate myself on the 8 Mathematical Language Routines (MLRs). While they were designed with Multilanguage Learners in mind, I find that they are just good teaching. So what are they?

  • Stronger & clearer each time
  • Collect & display
  • Clarify, critique, and correct
  • Information Gap
  • Co-craft questions
  • 3 Reads
  • Compare & Connect
  • Discussion Supports

So what does each one entail? Well, rather than sit and explain, I’d rather give you a resource that does a far better job breaking it down. It’s also one of my favorite resources.

Part of my deep dive allowed me to align Math EduProtocols and these MLR’s. Doing this has my mind working on how to incorporate more MLR’s within Math EduProtocols.

With all this in mind, I have begun to curate some resources for teachers. I break down each MLR and give links to activities. It’s not a comprehensive list, so I will continue to add to it as I find more. If you have something that should be added to the document, let me know!

Nacho Problem

What’s a problem that’s not yours? Nacho Problem!

It’s that time of year, Test Prep time. Which makes me think about using EduProtocols for Test Prep. One great one that really promotes deeper thinking and understanding is Nacho Problem. This was created by Ligia Ayala-Rodriguez. It’s a fun way to do error analysis with your students. I have done this with students as young as 7.

One of the advantages is that you begin by telling the students the answer is wrong. This seemingly takes the pressure off. I like to have the students talk it out the first few times. I guide them along the way to help set the expectations. Just like in an ‘Analyze the Error’ on the test, students are expected to express their thoughts in writing. This can present an additional challenge if they haven’t exercised this skill. I’m not saying we should do this solely to prepare for the state test; the benefits of students being able to do this go far beyond that idea.

How to Get Started

As a class, they are presented with a Nacho Problem. We read and analyzed the problem together; starting with “What do you notice?” and “What do you wonder?” I explicitly tell them the answer is wrong and that we must find where I went wrong. I have found that looking at the question and working out the problem allows us to focus on the process (that the problem is asking us to solve) rather than the arduous task of finding a mistake. Once we work it out together, and later independently, students can then go back and compare their process with the original (wrong) process. It makes it more obvious where the original problem solver went wrong.

The written explanation can be the most difficult part. When I started doing problems like this, students would explain, in an addition problem, “I started in the ones and added 8+7. I left the 5 in the one’s place and regrouped the 1.” While technically that is true and we as teachers understand, that’s not showing an understanding. That is why practicing the structure of Claim, Evidence, and Reasoning (CER) is so important.

Claim: Ms. N. did not draw a quadrilateral.
Evidence: The student example with explanation.
Reasoning: Definition of a polygon and Ms. N’s error.

Finding Problems

One of the easiest ways to collect incorrect problems is from your class. Whether you use exit tickets or collect information from the day’s lesson, you have a plethora of options. When using student errors, it’s advisable to use a common mistake by many students. Done early, this can correct any misconceptions before they become habits. Ligia suggests using mathmistakes.org

Results

Teachers and students alike enjoy this math EduProtocol. Students find it ‘fun’ to find the mistakes. Teachers report that it takes little time to begin implementing in their classes. Doing this a few times a week can really improve understanding. Let’s face it, students LOVE to point out teachers’ mistakes.

If you use this, I would love to hear how it went. What changes did you make? How have your students improved with error analysis?