Monica Lang, Princess Anne High School
February 2025
They are for purposefully crafted computations. This means we can’t throw just anything on the board and make it the basis for a number talk. The problems we pick for our students must elicit specific strategies and thinking and, therefore, must be intentional and preplanned.
Confidence! Confidence! Confidence! It's the BEST way to start off the first few minutes of class! Number Talks at the beginning of each class are valuable in the mathematics classroom because they encourage students to develop strong mental math skills. Number Talks actively engage students in solving problems mentally, explaining their thought processes, and considering different strategies, ultimately leading to a deeper conceptual understanding of mathematics and improved flexibility in computation while building confidence in communicating their mathematical reasoning.
Princess Anne High School's Algebra 1 PLC team is using Daily Number Talks at the Vertical Wipebooks with BTC strategies to meet students where they are, build conceptual understanding with everyday math skills, give them a foundation for learning new concepts, and reduce math anxiety by building confidence and communication skills when problem solving. Teacher Trevor Troxel shares, "During PLC meetings, at the beginning of each unit we list all of the pre-skills and foundational skills students need or are lacking for them to be ready to learn the new Algebraic concepts. We talk about the best way to introduce each skill using a familiar strategy or an all access concept that everyone can connect to. For example, we chose to use vertical number lines with number talks for adding and subtracting integers to make the connections to real-life (slides 12-13). " Here are the PL slides Troxel shared at their January department meeting.
Develops mental math fluency:
Students practice solving problems mentally, which strengthens their ability to manipulate numbers efficiently.
Promotes conceptual understanding:
By sharing their strategies, students demonstrate how they are thinking about the problem, revealing their underlying mathematical concepts.
Enhances mathematical discourse:
Number talks create a space for students to articulate their thinking, listen to others' perspectives, and refine their own strategies.
Builds flexibility in thinking:
Students are exposed to various approaches to solve a problem, promoting adaptability and understanding of different calculation methods.
Supports equity in the classroom:
Number talks provide a platform for all students to share their thinking, regardless of their prior knowledge or preferred strategy.
Improves communication skills:
Students practice explaining their reasoning clearly and using mathematical language accurately.
Trying any new practice can be challenging. Doing the intentional pre-planning is essential, and "talking it out" with a colleague is even better! Here are a list of tips shared in Ashley Cruz's blog by Cody Martin, assistant principal at Eddins Elementary in McKinney, Texas. When incorporating number talks in your math classroom, he encourages you to consider the following:
Curate problems you use for number talks. Pick problems that will call on students to use specific mental math strategies you want to introduce or reinforce.
Align to grade-level expectations. Prioritize number talks that help you and your students focus on developing and mastering grade-level skills.
Focus on understanding student thinking through purposeful questioning. You might consider using our formative conversation starters for math. If you find yourself doing most of the talking during a number talk, I encourage you to embrace the awkward silence. This can give kids the time they need to understand and communicate their thinking.
Deprioritize getting the “right” answer. Accurately solving a math problem is important, of course, but the goal of number talks is to improve students’ mathematical thinking. Make exploration the most important part of the process.
Aim to make student thinking visible to peers by writing it on the board for everyone to see. That can facilitate having a conversation in groups or as a whole class.
Create a safe space. During number talks, it’s important for students to feel like they can make mistakes without being judged. They should also feel like they can take as much time as they need to arrive at an answer.
Support a lively debate. Through intentional student discourse, students can self-correct, agree with a peer’s thinking, or even respectfully challenge a classmate’s reasoning. This can help them learn to choose the most efficient strategies, better understand their own reasoning, and be actively engaged.
To learn more about number talks and how they can support you and your students, I encourage you to refer to the following:
Cruz, Ashley (2024, July 18). 7 Tips for encouraging student discourse about math with number talks. Teach. Learn. Grow. The education blog. https://www.nwea.org/blog/author/ashleycruz/