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.
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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.
- 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.
- 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:
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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!
Mastering Elementary Math: The Power of MathReps and Math EduProtocols Pt. 3 Benefits
MathReps offers several clear advantages for students:
- Consistent Format: Unlike many curriculums, MathReps provides a consistent format for practice. This ensures that students know what to expect and can focus on mastering the skills without being distracted by changing formats.
- Repetition and Practice: Just like any new skill, math requires time and practice to master. MathReps offers repeated daily practice of multiple connecting skills, allowing students to spend sufficient time on each concept and develop a strong foundation.
- Reduced Anxiety: The combination of consistent format and ample practice time provided by MathReps helps to alleviate anxiety around math. With regular exposure to the material and opportunities for reinforcement, students become more confident in their abilities and feel less overwhelmed by math challenges.
MathReps offers a consistent and effective approach to math practice, allowing students to confidently develop their skills and reduce anxiety. It is important to note that MathReps is not a curriculum but an enhancement to any curriculum being used. This means it complements and supplements existing math curricula, providing additional resources and support to further strengthen students’ understanding and mastery of mathematical concepts. By incorporating MathReps into the learning environment, educators can optimize the educational experience and empower students to excel in mathematics.
Proof
MathReps has proven to be incredibly beneficial for teachers and students alike. One 3rd-grade team saw a remarkable improvement in their students’ proficiency in fractions, increasing from 19% to an impressive 82.67%. This success was so significant that they decided to continue incorporating MathReps into their routine the following year. In their first focused cycle on multiplication strategies, they observed substantial growth, going from 23% to 70.59%. The teachers plan to continue using MathReps throughout the year because they recognize its contribution to their students’ growth. MathReps is an easy-to-implement tool that offers significant improvement rates, making it an invaluable asset in the classroom.
Mastering Elementary Math: The Power of MathReps and Math Eduprotocols Pt. 2 Understanding MathReps
MathReps are thoughtfully designed templates teachers use for strategic and targeted math practices. These templates incorporate multiple related math skills and aim to help students make connections and bridge new concepts and strategies with previously learned ones. With MathReps, students can strengthen their understanding of mathematics in a structured and effective way.
MathReps is a powerful classroom tool that enhances learning. It offers ready-made templates, allowing teachers to focus on specific skills in order to gain mastery. One of the key benefits of MathReps is the immediate feedback it provides. In the classroom, teachers can give individual feedback as they move around, evaluate progress as a whole group, or employ a combination of both methods. Another advantage is the flexibility of MathReps, as it can be used with various platforms, ranging from simple paper and pencil or Wipebook to more advanced tools like Desmos, Nearpod, Pear Deck, or Figjam. It is recommended to use MathReps for at least three days a week to achieve the best results.
A Few Examples
Incorporating mathreps into a daily routine can be incredibly valuable for teachers. These short exercises provide repetitive practice and reinforcement for students, ensuring that concepts are deeply rooted in their minds. This approach helps to solidify connections between different mathematical concepts and builds fluency and flexibility in problem-solving.
Let’s take a closer look at the examples mentioned:
- Second-grade counting money template: By using a template that incorporates word form and flexibility in handling money, students can develop a strong understanding of the concept of money in both dollars and cents. This repetitive practice allows them to become comfortable and confident in working with money.
- Fifth-grade area model, partial products, and partial quotients: By combining these different techniques, students can see the connections between them and develop a more comprehensive understanding of the underlying mathematical principles. This approach encourages critical thinking and problem-solving skills.
- Eighth-grade equations and expressions: Through repetitive practice, students can become proficient in solving various equations and working with different expressions. This builds their confidence and competence in tackling more complex mathematical problems.
- High school trigonometry example: Running through several procedures in trigonometry enables students to make connections between different concepts and techniques. This helps them develop a deeper understanding of trigonometry and its applications.
Incorporating mathreps into the daily routine can ultimately enhance student learning by strengthening their mathematical foundation, connecting concepts, and fostering competence and confidence in problem-solving. It is an effective teaching strategy that greatly benefits teachers and students.
You can find the full collection at MathReps.com
What others are saying
Mastering Elementary Math: The Power of MathReps and Math Eduprotocols Pt. 1
According to (California) Mathematics Framework Chapter 3: Number Sense (2023), “To develop fluency, students need to have opportunities to explicitly connect their conceptual understanding with facts and procedures (including standard algorithms) in ways that make sense to them.” So what does all this mean?
To develop fluency, students need to have opportunities to explicitly connect their conceptual understanding with facts and procedures (including standard algorithms) in ways that make sense to them.
(California) Mathematics Framework Chapter 3: Number Sense (2023)
Building upon basic math concepts in early elementary is crucial for laying a strong foundation for future math concepts and overall academic success. By introducing and reinforcing fundamental mathematical skills, students develop essential problem-solving abilities, logical reasoning, critical thinking, and analytical skills.
When children acquire a strong understanding of basic math concepts, they are better equipped to tackle more complex mathematical ideas in later grades. By gradually introducing new concepts and building upon prior knowledge, students can gradually develop their mathematical proficiency. This progressive learning approach optimizes their chances of grasping and mastering higher-level math topics.
Moreover, the repeated practice of these basic math concepts is essential for long-term retention and automaticity. MathReps and Math EduProtocols provide valuable support in this process. Through systematic and repeated practice, students reinforce their understanding of basic math skills and improve their fluency.
Furthermore, the early development of strong math skills has a significant impact beyond the classroom. The critical thinking and problem-solving abilities fostered through the study of math are transferrable skills that have real-world applications. Proficiency in math opens doors to careers in various fields such as science, technology, engineering, finance, and even art, where mathematical reasoning plays a vital role.
In conclusion, building upon basic math concepts in early elementary is crucial for a child’s future academic success. By laying a strong foundation, students develop essential skills and pave the way for a deeper understanding of more complex mathematical concepts. MathReps and Math EduProtocols contribute to this process by providing systematic, repeated practice to reinforce these fundamental skills and promote mathematical fluency.
This captivating series explores the immense power of MathReps and Math EduProtocols, revealing their transformative impact on student success. Embark on a journey filled with insights, practical benefits, and step-by-step implementation strategies. Delve into inspiring examples and hear firsthand testimonials that will leave you motivated and ready to empower your students for a future of achievement. Don’t miss out, follow along and unlock your students’ true potential.
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:
| Brown | Black | Gray |
| 2 | 5 | 3 |
| 2 | 5 | 3 |
| 1 | 2 | 1 |
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?
Free Bingo Cards
Recently I had a teacher ask me about some review games. Bingo is always a hit so I went on the search for a 3rd-grade Geometry Bingo game. Sadly, I couldn’t find what I wanted. Which then led to a search for Bingo card creators. I was not about to sit and recreate 25 Bingo cards. I like to use my time a bit more efficiently. And that’s when I found it! My Free Bingo Cards
This awesome sight creates simple Bingo Cards. They have several ready-to-go, broken down by categories. There is also the option to create your own. I opted to create my own. The process was simple. I plugged in all the words the students were to review. I then pressed one button for the program to create 30 unique Bingo cards. I did play around with it to see if I could insert images via copy/paste. No such luck. That was okay; I had a backup plan. The program also created a sheet for me to track which words were used and calling cards. I opted NOT to use the calling cards.
What did I use instead of the calling cards?
Instead of the calling cards I created a wheel on Wheel of Names. This was part of my backup plan: I used images. I could have also opted for the definitions, but I felt the images were more engaging and less repeating. This game was a big hit!
If you’re a 3rd-grade teacher and would like to play this here are the cards and here is the wheel.
If you’ve never used Wheel of Names before, you’re going to love it! There’s no need to guess where the spinner landed. The program tells you which one. Then you have the option to remove the selected item from the wheel to avoid mishaps.
