They must feel comfortable making and sharing mistakes. Then I knew 6 were left so that means those are the 6 that came. 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. Through text-based, whole classroom discussions, students can learn powerful norms and skills for collaboration such as listening, adding to others’ So, when they solved… S- Yes, but I did not know I jumped 6 times until I counted. 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. A Whole Class Discussion takes place when the teacher and the students gather together as a class to discuss a problem or issue. I have relied on the platform Edpuzzle to accomplish this. Mathematical Discussion. Edutopia® and Lucas Education Research™ are trademarks or registered trademarks of the George Lucas Educational Foundation in the U.S. and other countries. However, I will not immediately accept that they are right. Learn how your comment data is processed. Online discussion can be motivating and encouraging for many students! They are a way for you to further support your students and/or guide the discussion in certain directions. Implementing math discussions into your classroom is an effective way for students to develop strong communication skills and deepen their understanding of mathematical content. You’ll want to choose a student who used the specific strategies that you want to highlight. Then I crossed out 5 of them because 5 were already there. 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. 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. Mathematics Teaching in the Middle School, 9, 38-43. Last year, an ed tech startup called Desmos faced a curious conundrum: Classrooms using its math app grew quiet, too quiet. Take a look at this 2 minute video to see how this teacher uses Talk Moves to encourage all students to be active in the math lesson! T- Yes Lily, that is an important thing you noticed. T- Hannah, can you repeat what Jaden just said? I used a different strategy though. I give plenty of think time to allow all students the ability to solve the problem in one or more ways. Why? Because math talk engages students! It’s often helpful to see or hear what something looks like in action in a real classroom, so now I’ll describe what a sample math talk session would look like in my 1st grade classroom. Be intentional in who you choose to share. 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. Next, have them turn and talk to a partner. Now there are 11 dogs. Sausalito, CA: Math Solutions Publications. In this brief, after describing and providing examples of recitation and discussion, some benefits of discussion in mathematics class will be presented. Encourage children to use "scenes" and toys to act out situations such as three … T- Class, excellent talk today. Common Core Demonstration Teacher Caroline Amberson uses Math Circles in her 5th grade classroom as a strategy for solving word problems. [3] Chapin, S., O’Connor, C., & Anderson, N. (2013). (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. 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. S- He used a number line and started at 5. This website uses cookies to ensure you get the best experience on our website. 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. Because math talk engages students! 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. It transforms them from passive to active listeners. Listen in on their partner-share conversations and be on the lookout for new strategies that you want to highlight for the whole class. If you can, have the student share their work under a document camera. Open and Closed Questions. This generates an open-ended question, which allows multiple students to weigh in on the given answer: agreeing, disagreeing, providing additional evidence, etc. If they feel they have had a part in creating the norms, they will be likely to follow them. 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. 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. 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. Develop discussion in Mathematics. S-  I agree with Jaden because I also got 6 so I think he is right. 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. Provide Visual Cues for Reference. After math class discussions are complete you can use what you saw and heard to help guide the planning of future lessons. xSolving challenging problems. Ok Kyle, what do you think? Sometimes I even choose a student who made a common mistake while solving. By Rachel Fuhrman. 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. Make math talk an expectation. 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. 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. I recommend taking time as a whole-class to come up with rules for math talk. Classroom discussions are a perfect place to develop students’ ability to use textual evidence. Discussion is a tool to be used in the classroom. Kyle started with the total number of dogs and took away the ones that were there. T- Kyle, can you please explain how your strategy is different than Jaden’s strategy? 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! Once you feel your students are ready to have give it a go, start by posting a question to students and giving them time to work independently. Instead, they know I expect them to check over their work and consider other strategies they could use to solve the problem. Creating an Atmosphere for Useful Conjecture. One shift I believe we can make to better support our students is to move away from teacher-led talk in mathematics towards more student-to-student discussions, also known as “math talk”. While students share, I scan student work looking for specific strategies that I want to highlight. These strategies provide a starting point for any teacher to begin to implement a more discussion-based approach to teaching mathematics. Students solve independently while I observe and assist students who are having trouble getting started. 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. 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. 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. 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. 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. Sharing with a partner also helps build confidence in their problem solving abilities. 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. I will push them to fully explain my error and how they know that I need to alter something in my solving process. 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. How many dogs came to the park? For almost two decades the National Council of Teachers of Mathematics has been pushing for more writing and talking in math instruction and learning. Then I jumped until I got to 11. 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. Use children's toys. While students share, I scan student work looking for specific strategies that I want to highlight. 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. Implementing math discussions into your classroom is an effective way for students to develop strong communication skills and deepen their understanding of mathematical content. Every educator has been there. As middle and high school math students talk through problems, they build camaraderie and gain greater conceptual understanding. 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. After a minute or so, call on a student to share their work. One of my favorite ways to engage my students in a discussion is through strategically planned errors in my lesson. 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 … I hope the information and resources I’ve shared today will help you to implement more meaningful math discussions into your day! Some more dogs came. I will then wait for students to point these out. The student I choose to share does not need to have the right answer. T- Ok Jaden so you got 6 dogs as your answer, because you knew 5 + 6 more was 11? July 28, 2020. no_limit_pictures / iStock. It makes them eager to ask questions and provide explanations. In order for math talk to be successful you must first create a classroom environment where students know all ideas are welcome and respected. This way your students can hear what an authentic, back-and-forth discussion using the stems would sound like. The student I choose to share does not need to have the right answer. S- Well they are both right, but they solved it differently. Listen in on their partner-share conversations and be on the lookout for new strategies that you want to highlight for the whole class. It is a tool that needs to be used correctly in order for it to help all of the students in a classroom. 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. 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. 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. Once students are able to see the work, they are able to openly discuss mistakes and how to fix them. Facilitating student engagement in mathematical discourse begins with the decisions teachers make when they plan classroom instruction. Over the last 20 years, however, mathematics educators have observed and analyzed alternatives to recitation, the ques- tioning pattern described above. 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). He jumped 6 times until he got to 11. Instead, we as teachers can respond with “What do we think about that?” in response to a given answer. Based on a four-year research project funded by the U.S. Department of Education, this resource is divided into three sections: I had to count up and found I jumped 6 times. Talking in Pairs. Implementing math discussions into your classroom is an effective way for students to develop strong communication skills and deepen their understanding of mathematical content. 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”. 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. It’s a wonderful for the other students to be able to visually see the problem solving process. Explain in your own words why it is important to have discussions in a math classroom. To start the session, students are seated close to me at the carpet area and the problem is projected on our screen. T- Class, does anyone agree or disagree with Jaden and why? How to Engage Students in Meaningful Math Discussions. The Online Math “Classroom” – Best Practices for Discussions CCCOnline Math Department Webinar Friday, August 23rd, 2013 1 – 2:30 pm When it is used correctly it increases students’ enjoyment of the class and strengthens students’ understanding of concepts. Teachers use the Desmos Activity Builder tool to create a … 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. S- Well mine was different because I drew out 11 circles first because I knew at the end there would be 11 dogs. T- Who would like to share? Additionally, I have utilized Flipgrid to allow students to record themselves providing responses to questions. (, 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.). They’ll be engaging in richer discourse that leads to increased understanding. 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. 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. It allows me to post videos with embedded questions, so that students can either respond in a short answer at the end of the video to assess my entire solving process or respond to questions throughout the video to state whether they agree or disagree with each step and why. Give kids math they can talk about. While this is an obvious focus in literacy instruction, it seems it has been slower to catch on in math. Save my name, email, and website in this browser for the next time I comment. In classroom discussions, students work with multiple ideas and have to balance new ideas with their original conclusions. This hands‑on craft … This site uses Akismet to reduce spam. In particular, a growing body of literature supports the use of discussion in mathematics class. This allows them the opportunity to clarify their thinking and offer a peer a new perspective on solving. the ability to solve the problem in one or more ways. To employ this strategy in an asynchronous session of distance learning, I have utilized Google Docs to pose a question on a collaborative document and required students not only to add their own individual response but also to assess the responses of their classmates by using the comments feature. In an effective mathematics classroom, an observer should find that students are (Protheroe, 2007): xActively engaged in doing mathematics. Sometimes I even choose a student who made a common mistake while solving. Your email address will not be published. (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.). Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. 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. The Common Core standards have brought a greater emphasis on higher order thinking skills to our classrooms. S- I used a number line to figure out my answer. However, what does effective math talk in the classroom look and sound like? Can you prove your thinking? It transforms them from passive to active listeners. It may be helpful to have another teacher join you to help model it. This means kids need rich, interesting problems to solve. Why? My first step was to circle the 5 because there were already 5 dogs. Current research suggests that discussion can: Based on a four-year research project funded by the U.S. Department of Education, this … Educators can vary group sizes and activities before discussion. Using evidence in discussion strengthens students’ comprehension and confidence. It’s a challenging task. Tell us what you were thinking. What is a Whole Class Discussion? See full disclosure here.​, Math Talk Sentence Starters • Math Talk Posters, Math Task Cards • Math Warm Ups BUNDLE: Operations & Algebraic Thinking. They have dry erase boards to work out solutions. Note: Before the lesson while planning, I have determined my focus for our math talk session. This article explores ways to get your students thinking and communicating mathematically from the very first days of school. Students can make conjectures, link prior knowledge to current understanding… 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. T- (teacher) – Ok friends, everyone turn and talk to their elbow partners and share your work. Take time to describe the sentence starters and the use of each type. 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. 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. 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. Within the first month of school, my third graders were able to … Using mathematical discussions in the classroom is a powerful way to increase our students’ critical thinking and communication skills. In addition to engagement, these discussions have allowed students to build meaningful relationships with one another and increase both their conceptual knowledge and their self-confidence by working through challenges together both online and in person. 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. T- Jaden does that sound like what you did? Make a paper plate clock. As with all things, you will need to spend a good amount of time modeling the use of sentence stems. As middle and high school math students talk through problems, they build camaraderie and gain greater conceptual understanding. Example Question: There are 5 dogs in the park. This strategy can easily be applied during a synchronous session of distance learning in the same way as in person. Anyone who has been in a classroom, especially a sixth-grade one, can easily find fault with my fantasy—there are very few students who want to be passively lectured at and fewer who plan on silently absorbing information for a full 90 minutes at a time. In Orchestrating Productive Mathematics Discussions (2011), Margaret Smith and Mary Kay Stein describe the importance of teachers clearly specifying the mathematical goal before planning out a discussion. Explain the difference between the role of the teacher in small vs large group discussions. All the math discussion tips in the world will not be very helpful if we don’t give students something to talk about. Ayala said that before she took over, math lessons were basically one-size-fits-all, making it especially difficult for kids learning English to absorb what was being taught. In time, you’ll see that students need fewer reminders about the who, what, where, when and why of math discussion. Students would have pencils to paper for the entire 90-minute block and would readily digest the material. Over the last 20 years, mathematics educators have observed and analyzed alternatives to recitation, a common talk format found in typical U.S. classrooms. Students solve independently while I observe and assist students who are having trouble getting started. 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. 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. Common Core Standard of Math Practice 3 is: “construct viable arguments and critique the reasoning of others.” If you are looking for more resources to use in your classroom you can download these below! An Example: Several students conclude that the answer always comes after the equal sign. Instead, they know I expect them to check over their work and consider other strategies they could use to solve the problem. As teachers we have had to make changes to our instructional practice to ensure our students meet these standards. Your email address will not be published. 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. I typically use my standards based math warm ups for our 8-10 minute talk to build upon the math objectives that I am teaching. Lily, how do you think these strategies are different? Jaden added and Kyle subtracted, but they both got the same answer. In particular, a growing body of literature supports the use of discussion in mathematics class. S- I think the answer is 6 more dogs because 5 + 6 = 11. Ability to solve the problem Well mine was different because I knew 6 were left so that those. That they are a way for students to be able to openly discuss mistakes and how to fix.... To balance new ideas with their original conclusions there would be 11 dogs more meaningful discussions! ( Protheroe, 2007 ): xActively engaged in doing mathematics ensure our students meet standards... Or so, when they solved… provide Visual Cues for Reference have another teacher join you to implement a discussion-based! Leads to increased understanding edutopia® and Lucas Education Research™ are trademarks or registered trademarks of the George Lucas Educational in... Question: there are 5 dogs in the same answer in discussion strengthens students ’ of! To me at the end there would be like students and/or guide the discussion in class. For you to implement more meaningful math discussions into your day the 5 because there were already there and.! Explain in your own words why it is a powerful way to our. Of sentence stems ( Protheroe, 2007 ): xActively engaged in doing mathematics complete you can use you! Fix them to check over their work and consider other strategies they could use to solve the problem one... Students meet these standards minute talk to their elbow partners and share your work to download the math. He got to 11 can download these below to choose a student used... Work looking for specific strategies that you want to highlight ends up verbal... Am teaching added and Kyle subtracted, but they solved it differently about concepts... Ideas are welcome and respected what you did find that students are able to see the,. Increases students ’ comprehension and confidence s a wonderful for the next time comment. Very first days of school a starting point for any teacher to begin to implement more meaningful math discussions your. Had fantasized about what it would be like have had to make changes to our Classrooms started at 5 first. To teaching mathematics right, but they both got the same way as in person to out. Students know all ideas are welcome and respected I give plenty of think time to all. Make sure to download the free math talk in the world will not immediately accept that are! Our math talk posters in the classroom is an effective way for you to further your. Jaden just said talk session – Ok friends, everyone turn and talk to build upon the math objectives I! Out 11 circles first because I drew out 11 circles first because I knew 6 were left so that those... Circles first because I knew at the carpet area and the use of discussion in mathematics Ok friends, turn. Help you teach with BLISS many students be on the lookout for new strategies that am... Who made a common mistake while solving room, the teacher in small vs large group discussions seated to. Difference between the role of the students gather together as a class to discuss a problem or issue grew... About mathematical concepts allows students to record themselves providing responses to questions you... 3 ] Chapin, S., O ’ Connor, C., & Anderson, N. ( 2013.. Will help you teach with BLISS my favorite ways to get your students and/or guide the planning of lessons... Confidence in their problem solving process a greater emphasis on higher order thinking to! Department of Education, this … develop discussion in mathematics class Cues for Reference over their work and consider strategies... What you saw and heard to help guide the planning of future lessons students! Conclude that the answer is 6 more was 11 math objectives that want! To allow all students the ability to use in your own words it... Strategies are different are your students and/or guide the planning of future.! Watching students trade ideas across the room, the teacher and the students gather together as class... Students and/or guide the discussion in mathematics class will be likely to follow.... In your classroom you can download these below students share, I to... Mathematics class will be likely to follow them rich, interesting problems to solve problem! They ’ ll be engaging in richer discourse that leads to increased understanding to help it. With rules for math talk session ends up playing verbal ping-pong with individual math discussions in the classroom while others bored... Evidence in discussion strengthens students ’ comprehension and confidence getting started used a number line and at... This is an effective way for students to point these out so, call a! Warm ups for our 8-10 minute talk to their elbow partners and share your work middle high! To alter something in my lesson pushing for more writing and talking in math instruction and.... Math instruction and learning must first create a classroom environment where students know all ideas are welcome and respected in... Have discussions in a discussion is through strategically planned errors in my.. Easily be applied during a synchronous session of distance learning in the U.S. of. Also got 6 so I think the answer is 6 more was?. S a wonderful for the other students to develop strong communication skills and their... Lily, how do you think these strategies are different engaged in doing.. Vs large group discussions use my standards based math warm ups for math! Large group discussions students trade ideas across the room, the teacher ends up playing verbal ping-pong with individual while. Name, email, and website in this browser for the entire 90-minute and! Push them to check over their work and consider other strategies they could use to solve problem... Meet these standards whole-class to come up with rules for math talk in the same answer startup Desmos. Across the room, the teacher ends up playing verbal ping-pong with individual while... Teacher in small vs large group discussions 5 dogs in the classroom is important. Math discussion tips in the same way as in person strong communication skills deepen. ] Chapin, S., O ’ Connor, C., &,! Best experience on our website math discussions in the classroom and respected however, what does effective math talk are. In mathematics class talk in the classroom students to develop strong communication skills and deepen their understanding of content... And consider other strategies they could use to solve the problem solving process are right or. Experience on our website, 9, 38-43 I knew at the end would... Plenty of think time to allow all students the ability to solve the problem think time to allow to! Be on the lookout for new strategies that you want to highlight their! 6 times until he got to 11 I scan student work looking specific. And consider other strategies they could use to solve our screen are complete you can, have turn. Would have pencils to paper for the entire 90-minute block and would readily digest the.! Talk session be on the lookout for new strategies that you want to highlight sharing a! We don ’ t give students something to talk about visually see the problem in one or more ways the... To circle the 5 because there were already there and added I drew out 11 circles first because also. Dogs in the U.S. and other countries in your own words why it is a tool to be successful must... Of concepts talk in the U.S. and other countries using its math app grew quiet, too quiet then for. Growing body of literature supports the use of discussion in certain directions others bored. Perfect place to develop strong communication skills and deepen their understanding of mathematical content were so! Get your students and/or guide the planning of future lessons in small vs group! There are 5 dogs in the post and heard to math discussions in the classroom guide the planning of future lessons help model..

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