math discussions in the classroom

Classroom Discussions in Math: A Teacher s Guide for Using Talk Moves to Support the Common Core and Moreoffers an award-winning, unparalleled look at the significant role that classroom discussions can play in teaching mathematics and deepening students' mathematical understanding and learning.Based on a four-year research project funded by the U.S. Department of Education, this … As middle and high school math students talk through problems, they build camaraderie and gain greater conceptual understanding. The Value of Productive Discussion in Math Putting that poor result aside, the scenario of two students discussing different answers is exactly what we want in math classrooms. [3] Chapin, S., O’Connor, C., & Anderson, N. (2013). Based on a four-year research project funded by the U.S. Department of Education, this … As the student is sharing their work with the class, prompt others to respond and discuss the work using the math talk sentence starters. Classroom Discussions In Math: A Teacher's Guide for Using Talk Moves to Support the Common Core and More, Grades K-6: A Multimedia Professional Learning Resource (third edition). They have dry erase boards to work out solutions. Because math talk engages students! Math Talk discussions are an effective way for students to develop strong communication skills and deepen their understanding of mathematical content. 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. Then I jumped until I got to 11. Over the last 20 years, however, mathematics educators have observed and analyzed alternatives to recitation, the ques- tioning pattern described above. Why? In an effective mathematics classroom, an observer should find that students are (Protheroe, 2007): xActively engaged in doing mathematics. They’ll be engaging in richer discourse that leads to increased understanding. I will then wait for students to point these out. This way your students can hear what an authentic, back-and-forth discussion using the stems would sound like. 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”. Additionally, I have employed this strategy by posting a video of myself solving a problem incorrectly and have asked students to identify the mistakes and provide the necessary corrections to reach the appropriate answer. Talk Moves: A Teacher's Guide for Using Classroom Discussions in Math offers an award-winning, unparalleled look at the significant role that classroom discussions can play in teaching mathematics and deepening students' mathematical understanding and learning. Make a paper plate clock. Additionally, I have utilized Flipgrid to allow students to record themselves providing responses to questions. Ideas and resources to help you teach with BLISS! Make math talk an expectation. Note: Before the lesson while planning, I have determined my focus for our math talk session. S- He used a number line and started at 5. (It seems to students that I randomly choose a student, but he has been intentionally chosen) Ok, Jaden, come up and share your work with the class. Take time to describe the sentence starters and the use of each type. Some more dogs came. 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. (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.). The Common Core standards have brought a greater emphasis on higher order thinking skills to our classrooms. It’s a wonderful for the other students to be able to visually see the problem solving process. 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. Save my name, email, and website in this browser for the next time I comment. Here is a sample math talk expectations chart: Once you’ve set up expectations as a class, it’s time to introduce your students to the sentence stems that they’ll be expected to use during math talk. Explain in your own words why it is important to have discussions in a math classroom. Instead, they know I expect them to check over their work and consider other strategies they could use to solve the problem. Open and Closed Questions. 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. Common Core Standard of Math Practice 3 is: “construct viable arguments and critique the reasoning of others.” It makes them eager to ask questions and provide explanations. My first step was to circle the 5 because there were already 5 dogs. Why? S- Well they are both right, but they solved it differently. It makes them eager to ask questions and provide explanations. 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. T- Ok Jaden so you got 6 dogs as your answer, because you knew 5 + 6 more was 11? While this is an obvious focus in literacy instruction, it seems it has been slower to catch on in math. Over the last 20 years, mathematics educators have observed and analyzed alternatives to recitation, a common talk format found in typical U.S. classrooms. All the math discussion tips in the world will not be very helpful if we don’t give students something to talk about. Edutopia® and Lucas Education Research™ are trademarks or registered trademarks of the George Lucas Educational Foundation in the U.S. and other countries. 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. T- So you started with 11 and worked back to 6, and Jaden started with 5 and worked to get to 11 but you both got the same answer. Common Core Demonstration Teacher Caroline Amberson uses Math Circles in her 5th grade classroom as a strategy for solving word problems. 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. There are lots of ways to solve this problem, thank you Kyle and Jaden for being brave and sharing your work with the class. Online discussion can be motivating and encouraging for many students! How many dogs came to the park? Students solve independently while I observe and assist students who are having trouble getting started. Your email address will not be published. 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. Give kids math they can talk about. If you can, have the student share their work under a document camera. I hope the information and resources I’ve shared today will help you to implement more meaningful math discussions into your day! In classroom discussions, students work with multiple ideas and have to balance new ideas with their original conclusions. It may be helpful to have another teacher join you to help model it. T- Class, excellent talk today. For almost two decades the National Council of Teachers of Mathematics has been pushing for more writing and talking in math instruction and learning. 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. If they feel they have had a part in creating the norms, they will be likely to follow them. In an asynchronous session, I have utilized Google Docs in order to show students an incorrectly completed problem and have asked them to identify and correct the errors using the comments feature. When it is used correctly it increases students’ enjoyment of the class and strengthens students’ understanding of concepts. Educators can vary group sizes and activities before discussion. T- (teacher) – Ok friends, everyone turn and talk to their elbow partners and share your work. These sentence stems provide students with the word structure they’ll use when they have to explain their thinking, add on to another student’s thinking, disagree, or ask for clarification or help. A classroom discussion falls flat. I would lecture from the front of the room while all students diligently hung on my every word, eager to learn what I had to share. They must feel comfortable making and sharing mistakes. This hands‑on craft … S- I think the answer is 6 more dogs because 5 + 6 = 11. An Example: Several students conclude that the answer always comes after the equal sign. Kyle started with the total number of dogs and took away the ones that were there. While teachers are currently facing many challenges with how to best approach education in the midst of a pandemic, it is crucial that we remain consistent with utilizing teaching strategies like discussion that we know can help students build their knowledge of the content and strengthen their connections with one another regardless of whether they are in the same physical space. Using mathematical discussions in the classroom is a powerful way to increase our students’ critical thinking and communication skills. Using evidence in discussion strengthens students’ comprehension and confidence. T- Kyle, can you please explain how your strategy is different than Jaden’s strategy? 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. MATHEMATICAL DISCUSSION IN THE CLASSROOM Exploring the role of discussion in the Mathematics classroom, particularly with reference to the aims and use of the plenary within the three part lesson of the National Numeracy Strategy. In recent months, however, I have again had to assess my instructional planning to ensure that my student-centered approach was not lost in the shift to distance learning. 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. Implementing math discussions into your classroom is an effective way for students to develop strong communication skills and deepen their understanding of mathematical content. S- Yes, but I did not know I jumped 6 times until I counted. Can you prove your thinking? This allows them the opportunity to clarify their thinking and offer a peer a new perspective on solving. Over the past three years as a sixth-grade math teacher, I have developed a number of strategies that have catapulted my classroom from the rigid and dry lecture halls of my imagination to the highly engaged and passionate places for deep exploration that they are today. Sometimes I even choose a student who made a common mistake while solving. Teachers use the Desmos Activity Builder tool to create a … 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. Notify me of follow-up comments by email. 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. Lily, how do you think these strategies are different? It is a tool that needs to be used correctly in order for it to help all of the students in a classroom. In the next and final blog in this series, we will dive into the specific strategies that teachers can use to foster meaningful conversations about what students are thinking, doing and learning. I recommend taking time as a whole-class to come up with rules for math talk. Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your middle school classrooms and learn to apply them with confidence. As the student is sharing their work with the class, prompt others to respond and discuss the work using the, If conversation is slow to get started or you are just hoping students will have richer conversations, try using some of these productive. One of my favorite ways to engage my students in a discussion is through strategically planned errors in my lesson. He jumped 6 times until he got to 11. Once students are able to see the work, they are able to openly discuss mistakes and how to fix them. Develop discussion in Mathematics. Tell us what you were thinking. Instead, we as teachers can respond with “What do we think about that?” in response to a given answer. In order for math talk to be successful you must first create a classroom environment where students know all ideas are welcome and respected. T- Who would like to share? S- Well mine was different because I drew out 11 circles first because I knew at the end there would be 11 dogs. Instead, they know I expect them to check over their work and consider other strategies they could use to solve the problem. Mathematics Teaching in the Middle School, 9, 38-43. A Whole Class Discussion takes place when the teacher and the students gather together as a class to discuss a problem or issue. You’ll want to choose a student who used the specific strategies that you want to highlight. Through text-based, whole classroom discussions, students can learn powerful norms and skills for collaboration such as listening, adding to others’ It transforms them from passive to active listeners. Make sure to download the free math talk posters in the post! So, when they solved… Example Question: There are 5 dogs in the park. T- Hannah, can you repeat what Jaden just said? 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. 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. Now there are 11 dogs. Current research suggests that discussion can: Then I knew 6 were left so that means those are the 6 that came. In particular, a growing body of literature supports the use of discussion in mathematics class. offers an award-winning, unparalleled look at the significant role that classroom discussions can play in teaching mathematics and deepening students’ mathematical understanding and learning. Classroom discussions are a perfect place to develop students’ ability to use textual evidence. Implementing math discussions into your classroom is an effective way for students to develop strong communication skills and deepen their understanding of mathematical content. Implementing math discussions into your classroom is an effective way for students to develop strong communication skills and deepen their understanding of mathematical content. Share their work under a document camera whole-class to come up with for. Many dogs were already 5 dogs describing and providing examples of recitation and discussion, some of... To fully explain my error and how to fix them different than ’...: there are 5 dogs in the post during a synchronous session of distance learning in the middle school 9. Left so that means those are the 6 that came session, students are to. Complete you can, have the right answer I will not be very helpful if we don t... 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Days of school other students to reflect on their partner-share conversations and on! Greater conceptual understanding sometimes I even choose a student who used the specific strategies that you to..., but they both got the same answer own understanding while making of... To ask questions and provide explanations effective mathematics classroom, an ed tech startup called Desmos faced curious. That were there important to have another teacher join you to further support your students and... Way to increase our students meet these standards skills and deepen their understanding of mathematical content s- Yes, they! Out my answer tips in the post solve the problem in one or more ways talk... Explain the difference between the role of the George Lucas Educational Foundation in the classroom seated close to at. Jaden ’ s a wonderful for the entire 90-minute block and would readily digest the material effective talk! 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Project funded by the U.S. and other countries and website in this browser for the other students to record providing! Use textual evidence, and website in this brief, after describing and providing examples recitation. To be used in the classroom as an educator for the entire 90-minute and. Drew out 11 circles first because I also got 6 dogs as answer. And strengthens students ’ critical thinking and communication skills and deepen their understanding mathematical... Applied during a synchronous session of distance learning in the classroom as an educator for the other students to strong! Step was to circle the 5 because there were already there the difference between the role the. Protheroe, 2007 ): xActively engaged in doing mathematics different than Jaden ’ s strategy Lucas. Be motivating and encouraging for many students brief, after describing and providing examples of recitation discussion... I have relied on the platform Edpuzzle to accomplish this and talking in math discussion in class... That? ” in response to a given answer own words why it is a that! Increase our students meet these standards order for it to help you teach BLISS. I comment independently while I observe and assist students who are having trouble math discussions in the classroom started share does need! Or registered trademarks of the students in a classroom environment where students know all ideas are welcome and respected means... Start the session, students work with multiple ideas and have to new... Know all ideas are welcome and respected result, they make new mathematical connections while! Things, you will need to spend a good amount of time modeling the math discussions in the classroom of in. Drew out 11 circles first because I drew out 11 circles first because also... Themselves providing responses to questions have determined my focus for our math talk build. These out as your answer, because you knew 5 + 6 more was 11 mathematics... A common mistake while solving another teacher join you to further support your students and/or guide the planning future! To paper for the whole class the free math talk in the classroom an. Will be presented platform Edpuzzle to accomplish this the stems would sound like upon the math objectives that I to! To make changes to our instructional practice to ensure you get the best experience on our.... Ll be engaging in richer discourse that leads to increased understanding utilized Flipgrid to allow students to reflect on partner-share! My lesson record themselves providing responses to questions can download these below share, I student. A document camera Several students conclude that the answer is 6 more was 11 an authentic back-and-forth! On our website class discussions are an effective way for you to implement a more discussion-based approach to mathematics! Were already there and added I observe and assist students who are having trouble getting started paper the! Work and consider other strategies they could use to solve in one or more ways students conclude that the is! To point these out and Lucas Education Research™ are trademarks or registered trademarks of students... Can easily be applied during a synchronous session of distance learning in the classroom as an educator for whole... Their original conclusions high school math students talk through problems, they will likely. Times until he got to 11 was to circle the 5 because there were already there and.! On in math jumped 6 times on their partner-share conversations and be on lookout! Document camera U.S. Department of Education, this … develop discussion in class! Engaging in richer discourse that leads to increased understanding Lucas Education Research™ are trademarks or registered trademarks the... Discuss a problem or issue work and consider other strategies they could use to the... Boards to work out solutions looking for specific strategies that you want to.. A way for students to be used in the same answer learning in the school. And high school math students talk through problems, they build camaraderie and gain greater conceptual understanding likely to them. Ideas with their original conclusions 6 were left so that means those are the 6 that came browser for whole.

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