Students should be metaphorically rolling up their sleeves and “doing mathematics” themselves, not watching others do the mathematics for them or in front of them. Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. After a minute or so, call on a student to share their work. The Common Core standards have brought a greater emphasis on higher order thinking skills to our classrooms. By Rachel Fuhrman. Your email address will not be published. T- Class, does anyone agree or disagree with Jaden and why? When done in a safe and supportive environment, it can help students gain higher order thinking skills, such as those now required by the Common Core Standards. Kyle started with the total number of dogs and took away the ones that were there. Additionally, I have utilized Flipgrid to allow students to record themselves providing responses to questions. Current research suggests that discussion can: Anna is a member of the National Council of Teaching Mathematics, and had the opportunity to pilot the Illustrative Math curriculum in a sixth-grade classroom prior to this year’s implementation of the new curriculum, and is excited about creating rich math discussions in the classroom. While students share, I scan student work looking for specific strategies that I want to highlight. Learn how your comment data is processed. It transforms them from passive to active listeners. Make sure to download the free math talk posters in the post! Too often the math talk that is heard comes from the teacher in the form of lecturing, asking students to recite facts, or posing questions with known answers. Jaden added and Kyle subtracted, but they both got the same answer. While I recognized that my fantasy was a bit of a stretch even before I began, I very quickly realized that I needed to make some major adjustments to my instructional planning to create the type of highly engaged and high-performing classroom I wanted. Save my name, email, and website in this browser for the next time I comment. I give plenty of think time to allow all students the ability to solve the problem in one or more ways. Try to illicit things like “We listen to everyone’s ideas”, “It’s okay to make mistakes”, “Everyone’s ideas are important” from the students. To employ this strategy in a synchronous session of distance learning, I have utilized the whiteboard feature on Zoom as well as shown images of completed problems that have specific mistakes. (Once the norms for math talk have been well-established, mistakes can be highlighted and students typically won’t be bothered by being wrong in front of the class.). For example, if we are learning to use a number line to add as a strategy, I intentionally choose students who demonstrate understanding of the strategy to share with the whole class. However, I will not immediately accept that they are right. Using evidence in discussion strengthens students’ comprehension and confidence. Make math talk an expectation. They are a way for you to further support your students and/or guide the discussion in certain directions. S- He used a number line and started at 5. A classroom discussion falls flat. Use children's toys. I have relied on the platform Edpuzzle to accomplish this. Before I stepped into the classroom as an educator for the first time, I had fantasized about what it would be like. Sharing with a partner also helps build confidence in their problem solving abilities. T- Jaden does that sound like what you did? Sausalito, CA: Math Solutions Publications. Students can make conjectures, link prior knowledge to current understanding… Example Question: There are 5 dogs in the park. I never want my slower students to feel like their thinking is not fast enough, so I don’t have students raise their hands when they finish. Lily, how do you think these strategies are different? If conversation is slow to get started or you are just hoping students will have richer conversations, try using some of these productive “Talk Moves”. xSolving challenging problems. Notify me of follow-up comments by email. It makes them eager to ask questions and provide explanations. All the math discussion tips in the world will not be very helpful if we don’t give students something to talk about. Over the last 20 years, however, mathematics educators have observed and analyzed alternatives to recitation, the ques- tioning pattern described above. Mathematical Discussion. Are your students learning to tell time this year? S- Well mine was different because I drew out 11 circles first because I knew at the end there would be 11 dogs. Implementing math discussions into your classroom is an effective way for students to develop strong communication skills and deepen their understanding of mathematical content. (, Once the norms for math talk have been well-established, mistakes can be highlighted and students typically won’t be bothered by being wrong in front of the class.). Meaningful discussions in the mathematics classroom rely on purposeful instructional moves from the teacher, as well as a clear understanding of the demands that are placed on students. If you are looking for more resources to use in your classroom you can download these below! Some more dogs came. Students would have pencils to paper for the entire 90-minute block and would readily digest the material. When done in a collaborative and supportive learning environment, this can support achievement of higher order thinking skills, as required by the Common Core Standards for Mathematical Practice. This type of communication about mathematics is essential in helping students develop the thinking, self-questioning, and explanation skills they need to master the skills and concepts that are now required. This follow-up to the modern classic, Five Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in Grades K-5 classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions. For example, if we are learning to use a number line to add as a strategy, I intentionally choose students who demonstrate understanding of the strategy to share with the whole class. Students solve independently while I observe and assist students who are having trouble getting started. Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. It transforms them from passive to active listeners. I will then wait for students to point these out. S-  I agree with Jaden because I also got 6 so I think he is right. Buy Classroom Discussions In Math: A Teachers Guide for Using Talk Moves to Support the Common Core and More, Grades K-6: A Multimedia Professional Learning Resource- With Dvd 3rd edition (9781935099567) by Suzanne H. Chapin for up to 90% off at Textbooks.com. When done in a safe and supportive environment, it can help students gain higher order thinking skills, such as those now required by the Common Core Standards. Whether it’s one-on-one discussion so students can ask a question privately, or small or large group discussion, you can keep those important academic and social emotional conversations happening outside of the traditional classroom setting. So, when they solved… Once students are able to see the work, they are able to openly discuss mistakes and how to fix them. When a student provides the correct answer to a posed question, it is easy to simply respond with “Yes!” While this does keep the pace of the class moving, it only ensures that one student out of an entire class knows the correct answer and closes off the opportunity to hear additional student voices. Students solve independently while I observe and assist students who are having trouble getting started. These strategies provide a starting point for any teacher to begin to implement a more discussion-based approach to teaching mathematics. Make a paper plate clock. T- Yes Lily, that is an important thing you noticed. In Classroom Discussions: Using Math Talk to Help Students Learn, Grades 1–6 (Math Solutions Publications, 2003), the authors present specific ways to lead classroom discussions that support students’ mathematics learning and promote their ability to think, reason, and solve problems. Once all videos are posted, students are required to watch a given number of videos and submit their responses stating whether they agree or disagree with their classmates and why. In classroom discussions, students work with multiple ideas and have to balance new ideas with their original conclusions. Required fields are marked *. Common Core Standard of Math Practice 3 is: “construct viable arguments and critique the reasoning of others.” T- Class, excellent talk today. July 28, 2020. no_limit_pictures / iStock. Creating an Atmosphere for Useful Conjecture. The discussions your students have will give you a more clear picture of what they understand and what things might be common misconceptions that need to be addressed again on another day. There are lots of ways to solve this problem, thank you Kyle and Jaden for being brave and sharing your work with the class. This generates an open-ended question, which allows multiple students to weigh in on the given answer: agreeing, disagreeing, providing additional evidence, etc. In time, you’ll see that students need fewer reminders about the who, what, where, when and why of math discussion. After a minute or so, call on a student to share their work. Next, have them turn and talk to a partner. This allows them the opportunity to clarify their thinking and offer a peer a new perspective on solving. Why? To allow students even greater opportunities to engage with one another, I have utilized the breakout rooms feature of Zoom so that students can discuss their thoughts in either pairs or small groups before sharing with the entire group. Using mathematical discussions in the classroom is a powerful way to increase our students’ critical thinking and communication skills. While this is an obvious focus in literacy instruction, it seems it has been slower to catch on in math. While distance learning has certainly altered the way in which I carry out my instructional strategies, I have continued to employ the below outlined strategies to ensure a high level of student engagement through discussions. This type of communication about mathematics is essential in helping students develop the thinking, self-questioning, and explanation skills they need to master the skills and concepts that are now required. See full disclosure here.​, Math Talk Sentence Starters • Math Talk Posters, Math Task Cards • Math Warm Ups BUNDLE: Operations & Algebraic Thinking. Instead, we as teachers can respond with “What do we think about that?” in response to a given answer. Listen in on their partner-share conversations and be on the lookout for new strategies that you want to highlight for the whole class. Encourage children to use "scenes" and toys to act out situations such as three … In an effective mathematics classroom, an observer should find that students are (Protheroe, 2007): xActively engaged in doing mathematics. I really believe in the power of math talk so today I’m excited to share with you tips, suggestions and resources that I hope will be helpful to you as you implement it into your own classroom! Over the last 20 years, mathematics educators have observed and analyzed alternatives to recitation, a common talk format found in typical U.S. classrooms. Once I have introduced a topic and am confident that my students understand the solving process, I will guide them through a problem and intentionally make common errors. Jaden started with how many dogs were already there and added. Tell us what you were thinking. They must feel comfortable making and sharing mistakes. T- (teacher) – Ok friends, everyone turn and talk to their elbow partners and share your work. Online discussion can be motivating and encouraging for many students! I recommend taking time as a whole-class to come up with rules for math talk. T- Kyle, can you please explain how your strategy is different than Jaden’s strategy? S- I used a number line to figure out my answer. Implementing math discussions into your classroom is an effective way for students to develop strong communication skills and deepen their understanding of mathematical content. What is a Whole Class Discussion? Sometimes I even choose a student who made a common mistake while solving. Instead of watching students trade ideas across the room, the teacher ends up playing verbal ping-pong with individual students while others get bored. As the student is sharing their work with the class, prompt others to respond and discuss the work using the math talk sentence starters. In a district where almost 30 percent of the students are learning English, these goals have meant a radical change in how math is taught in the early grades. While the content of this issue is aligned with mathematics and specifically the Standards for Mathematical Practice , there is relevance for facilitating meaningful classroom discussions in all content areas and grade levels. Common Core Demonstration Teacher Caroline Amberson uses Math Circles in her 5th grade classroom as a strategy for solving word problems. Ok Jaden so you got 6 so I think he is right to fix math discussions in the classroom in the middle school 9! 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