Discourse requires students to evaluate and interpret . In addition, Webb and colleagues have argued that the help received is beneficial only if the student requesting it understands the explanation given and … Although I can’t eliminate distractions in my own teaching space, I can control how I respond to them. the perspectives, ideas, and mathematical arguments of others … demonstrates why an emphasis on mathematical discourse should be a common practice within the middle level classroom (Bartolini Bussi, 1998). To a degree, multi-tasking is unavoidable for teachers, but I can certainly make the effort to improve my listening skills. At the workshop I was able to focus on the math learning process and really listen to what the students were saying. This article illustrates how research about mathematical discourse can be translated into practice. Classroom discourse, technology, and worthwhile mathematical tasks have emerged as key components in developing this type of instruction and in how students learn mathematics. For the past 13 years, she's taught high school math, including Algebra IB, Algebraic Connections, Pre-Calculus, AP Statistics, Algebra with Finance, and Algebra 2 with Trigonometry. Mathematical Discourse: Let the Kids Talk! (Pugalee, D. K, 2001). Michelle, thanks for sharing ways to conduct formative assessment in ways that don’t require creating, administering, and correcting quizzes! I found the following articles to be helpful: Training the Brain to Listen: A Practical Strategy for Student Learning and Classroom Management and 9 Listening Strategies that Develop Active Listeners. I am talking capital “N” for Number and capital “T” for Talks. In the first article in this series, I introduced four “influences or actions” that come from John Hattie’s (2017) groundbreaking research. It dawned on me that, at the workshop, I wasn’t responsible for all the logistics that normally accompany the classroom experience. And I do walk around and try to listen to my students as they discuss math problems and concepts. This helps others gain in the understanding or in helping to “clear up” a misconception. This site uses Akismet to reduce spam. I totally agree with you that student collaboration and discussion is key to deepening understanding in math. Post was not sent - check your email addresses! Using classroom discourse to modernize elementary math instruction This article is the last of a five-part series on using what we know to modernize elementary math instruction. provides teachers with the tools they need to facilitate mathematical discourse in the 21st century classroom and create opportunities for students to think constructively, communicate effectively, and increase mathematics proficiency. This is great – I am always eavesdropping on my student discussions. Engaging students in effective classroom talk begins by creating a discourse-rich classroom culture. Unfortunately, high-quality diversity training is not universally available. https://www.middleweb.com/40270/teaching-english-in-the-middle-school-years/, Your email address will not be published. A challenge faced by math educators of all levels is how to engage students in their mathematical content through rich discussion or discourse. 2.) Students engage in mathematical reasoning and debate. Pay attention to the use of academic language in the task. I think my attempts to multi-task have caused me to develop some bad listening habits, which has kept me from really benefiting when I try to listen to students’ discussions about math. Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. Using chat to check for understanding: After giving lessons last spring, Paul France had his third … Classroom discourse can be a central element of acquiring mathematical … Another suggestion was to take notes. Here, you will find examples from throughout the school year on: Modeling and Encouraging Active Listening Using Precise Language Structured Talk Paraphrasing and Extending Discourse I’ll wait for you. Here are the academic vocabulary words I noticed students would need to understand (in an academic sense) in order to be able to do this task without any support: I walked from group to group and listened, I mean really listened. What it means: Use math to solve real-world problems, organize data, and … Related Content: Common Core State Standards - Mathematics, Interim State Superintendent of Education. Using evidence in discussion strengthens students’ comprehension and confidence. Classroom Discussions: Using Math Talk to Help Students Learn, authored by Chapin, O’Connor, and Anderson in 2009, is one of the leading resources for promoting student engagement in rich discourse. One thing that helps make the learning more powerful for the class too is when I share with the large group either misconceptions that I heard – or ask a group to share a strategy – with the class. (If you haven’t had the chance to do a formative assessment lesson, I really recommend that you try one.) Question-writing is also useful. To adapt that suggestion for my classroom, I plan to work the problem that the students are working in advance, and do so using more than one method. I created a “Waiting Room” for my students. In my own classroom my attention is divided. You are so right, it helps the whole class to share common misconceptions. I was looking for some specific information: 1.) Students also learn to engage in mathematical reasoning and debate. Required fields are marked *. Sorry, your blog cannot share posts by email. … Talking Math: 6 Strategies for Getting Students to Engage in Mathematical Discourse, … How to Improve Mathematical Discourse in Your Classroom, … Three Ways I’ve Become A Better Listener, Tags: listeningmath talkMeaningful MathMichelle Russellstudent conversationsteacher listening. To increase mathematical discourse, we should start by creating an environment in which students are able to have discussions with peers and practice both using academic, mathematical … The article pointed out that “looking for answers to questions gives you a reason to listen and keeps your mind active and alert.” So, before the activity, I plan to create questions that I can quickly ask myself during the course of the students’ math talk. She began her career as a student teacher in middle school and has taught students from 7th to 12th grade. Published 12/10/2017. A few weeks ago I led a study session to help students prepare for an AP exam. Is it part... As a teacher I always enjoyed explaining the why, to the... Hi! I have had to admit that I am not always a good listener. Sometimes students would get something wrong, but for the most part they were able to talk it out and reach the right answer. I learned so much! in the Math Classroom. In classroom discussions, students work with multiple ideas and have to balance new ideas with their original conclusions. Strategies (activities) that would promote student conversations about math and would fit into my current classroom routine. She received her PhD from Iowa State University in 2008 after working as a high school mathematics teacher in New York for eight years. Below you will find a number of different benefits explored through work of researchers! Thanks! I put students in groups of 2 or 3 and asked them to discuss and answer multiple choice questions. Hi Michelle, this is a great article. To listen well is as powerful a means of influence as to talk well and is as essential to all true conversation. Through the lesson activities, students also sharpen their skills in mathematical reasoning and debate. Model with mathematics. There were some very good discussions. Homeschooling in the District of Columbia, Guiding Principles for Continuous Education, Licensing Process for Child Care Providers, Common Core State Standards - Mathematics, Strategies for Developing Mathematical Discourse in the Classroom Webinar PowerPoint.pdf. The discourse in the mathematics classroom gives students oppor- tunities to share ideas and clarify understandings, construct convincing arguments regarding why and how things work, develop a language for expressing mathematical ideas, and learn to see things from other perspectives (NCTM 1991, 2000). increasing mathematical discourse in the classroom effect number sense in first grade students. Your email address will not be published. One of the easiest routines to integrate into our repertoire of mathematical discourse opportunities is Number Talks. It has been amazing to see what they write and how well they understand each concept. I remembered that the Formative Assessment Lessons provided by MARS (Mathematics Assessment Resource Service) dealt with the teachers’ role while students discussed math activities. I’ve been a math teacher for over 15 years. Learn how your comment data is processed. “9 Listening Strategies that Develop Active Listeners” suggested that making predictions as to what would be said would increase listening skills. Another means of communication that we are working on to deepen understanding is writing in mathematics. I have always known that it is helpful to the students to talk with their peers about math. In this – Chinese Proverb. Students appreciate that the twenty-first-century classroom and workplace are settings in which people from often widely divergent cultures and who represent diverse experiences and perspectives must learn and work together. Great suggestions! This is a very specific instructional strategy that develops a routine around eliciting students’ thinking from a … Mathematical discourse is the way students represent, think, talk, question, agree, and disagree in the classroom. The Fear Of Speaking, Listening, & Mathematical Discourse. For more information or questions, please email Monisha Karnani at [email protected]. Rich classroom discourse offers students a way to express their ideas, reasoning, and thinking. Groups rotate until every group has had a chance to visit each chart poster, giving students an opportunity to “discuss their classmates’ solutions.” As students are having these discussions, the teacher listens, observes, and “gauges student understanding.”. It’s a challenging task. These were not my students and we were not in my classroom, nor my school. I plan to really think about how students might approach the problem and what misconceptions they might have. To successfully engage students in mathematical discourse teachers need to foster community in the classroom, help students feel safe expressing ideas, and demonstrate that math … Current research by Parrish (2014) and Smith Training the Brain to Listen: A Practical Strategy for Student Learning and Classroom Management, 9 Listening Strategies that Develop Active Listeners, Talking Math: 6 Strategies for Getting Students to Engage in Mathematical Discourse, How to Improve Mathematical Discourse in Your Classroom, https://www.middleweb.com/40270/teaching-english-in-the-middle-school-years/. Begin the year by discussing what rich discourse is, the rationale for it, and answering the What’s In It for Me question by specifying ways students benefit. I have used Gallery Walks in the past, but I wanted to focus on listening closely to students’ discussions as they rotated through the “Gallery.” I found a great explanation for a gallery walk at “Gallery Walk, Math Congress and Bansho.” (Source). coronavirus.dc.gov Share this: View the Guidance. Read Mayor Bowser’s Presentation from the Situational Update: January 15. Or perhaps, what did the students learn from this activity? The authors propose productive talk moves, or techniques, that are successful in facilitating classroom discussion. In the coming months I plan to spend more time listening and providing students with an opportunity to talk to each other. Asking better questions can open doors for students, promoting mathematical thinking and discourse. Rely more on themselves to determine whether something is mathematically correct. What I have been underestimating is how much it would help me. Cirillo’s primary research interests include the teaching of disciplinary practices (e.g., mathematical proof and modeling), classroom discourse, and teachers’ use of … I’d add, writing to learn in math. So, I am glad I had this opportunity because it reminded me how important math talk is in the classroom. Students can make conjectures, link prior knowledge to current understanding… Give Them Time to Read, 9 Ways to Support Staff and Teachers Right Now, Promote Student Efficacy and Lifelong Learning, Key Insights for New and Aspiring School Leaders, Effective Questioning During Virtual Learning, Practical Wisdom for Scholar-Practitioners, Offering Student Choice Using a Menu Strategy, A Vision of Schoolwide Technology Integration, Tools to Grow Students’ Science Understanding, Powered by  - Designed with the Hueman theme. Photo credits: Kevin Jarrett, Bigstock. The way it works is that students are given a problem, which they work on in small groups. How I can become a better listener and actually focus on what my students are saying. Using this example, I discuss how the distinction between everyday and mathematical discourse can help or hinder us in hearing the mathematical content in student talk. Classroom discussions are a perfect place to develop students’ ability to use textual evidence. ... and ask useful questions to clarify or improve the arguments. In Mia Buljan’s 2nd grade classroom, students and teacher enter into active and productive mathematical discourse. Student Discourse 91 CHAPTER 4 04-Gillies-45194.qxd 2/20/2007 1:15 PM Page 91. or her misunderstanding. Strategies for Developing Mathematical Discourse in the Classroom Webinar The mathematics classroom required students to use a specific type of dialogue to express their conceptual understanding. Examples of student discourse and teacher-student discussions are provided. They then post their solution on chart paper. Embedded in almost every lesson is an activity for a student to do with a partner, such as a card sort or some matching activity. I also like the idea of asking a group to share their strategy. When they didn’t get the right answer, it helped me understand what their misconceptions were. Here, go and read through this task from Illustrative Mathematics. Asking better questions can open new doors for students, helping to promote mathematical thinking and encouraging classroom discourse. Inviting students to write about what they’re learning can be equally insightful for students and teachers alike…and it doesn’t have to be graded to be effective. Encouraging talk about math in the classroom is easier with question stems. DC Entered Phase Two of Reopening on June 22. See ideas in MORE ABOUT WRITING (2019) that was reviewed last month here on MIDDLE WEB. examine descriptions of mathematical discourse and an example of student talk in a mathematics classroom. I have been using writing to ask students to justify their answers with evidence – such as examples, non-examples, and definitions. Expect students to justify answers. The mathematics classroom required students to use a specific type of dialogue to express their conceptual understanding. Students critique their own, and others, ideas to seek efficient mathematical solutions, Involves asking strategic questions on how a problem is solved and a particular method used. Turns out, just listening, really listening, to students provided me with some great formative assessment. Thanks so much for sharing this post with me! By the time I got home, I was really determined to make it a regular habit to encourage math talk, so I decided to do some research. With your goals in mind, you can plan out how to follow the discourse practices. Thank you sooooo Much! Such questions help students: Work together to make sense of mathematics. DC Entered Phase Two of Reopening on June 22. In her free time, she enjoys reading books about math education and following other teachers on Twitter. The article shows two types of discourse, cognitive discourse and motivational discourse. Another strategy that I want to try is called a Gallery Walk. For example, what strategy/strategies did the student use? Here’s How I Created a Virtual Class Library, 8 Ways to Revitalize Your School Leadership, Try a Game Strategy to Engage Kids in History, Penny Kittle: Nurturing Readers for a Lifetime, Energizing Kids’ Online Learning This Term, Talking to Our Students about the Capitol Riots, A Toolbox Packed with Practical Math Ideas, How to Teach Content Vocabulary to Our ELs, Reflection Can Help Us Revive Our Best Selves, Want Kids to Like Books? Academic Language in the Math Classroom. Definition• Mathematical discourse is a teaching approach that engages students in discussion about math in a manner that articulate their understanding of concepts. I think math talk helps students solidify their thinking, make connections, and remember what they have learned. After we return from Christmas Break will be a great time to incorporate a MARS lesson. This interactive webinar focused on effective teaching strategies, practices and activities that engaged students in rich mathematical conversation. Or what misconceptions did students have? I know I need to continue to hone and improve my listening skills and make the effort to implement activities that encourage math talk. Read Mayor Bowser’s Presentation from the Situational Update: January 15. In addition to talking, writing is an important form of discourse in mathematics (NCTM, 2014). View the Guidance. If anyone has any suggestions for how to promote good student math discussions, or tips for being a better listener, please share! Great point about misconceptions. Asking yourself these important questions before engaging students in mathematical discourse will help you to focus on your math class goals. Notify me of follow-up comments by email. The literature reviewed explores different ways to increase mathematical discourse to improve student learning in a primary 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. Mathematics (DEBT-M) program, as well as my many years as a mathematics teacher and supervisor, I have found high-quality diversity training to be essential in helping teachers close mathematics opportunity gaps and improve outcomes for students. I am looking at Properties of Exponents (8th grade). Designing instruction that engages students in regular mathematical discourse can help increase students’ confidence in talking and communicating about their mathematical thinking. Thank you for your comment! Academic discussions, precise language, and the ability to communicate multiple approaches to solving problems are the foundation of mathematical thinking. In practice, I do find it easier to focus when taking short notes. Groups spend 3-5 minutes at each posted solution and add comments and suggestions which they write on sticky notes. I didn’t have to take attendance, I didn’t have to answer the intercom or check my email for a list of students who would be on a field trip. Thank you for bringing attention to the importance of listening to students as they communicate about mathematics! In Teach Like a Champion 2.0, Doug Lemov (2015) concludes that “the amount and quality of writing students do in your classroom are two of the most important determinants of their academic success” (p. 281). As students work with a partner to match equivalent expressions, the teacher is instructed to “note different student approaches to the task and to support student problem solving.” The teachers are further instructed to “listen to…students carefully.” (Source) I’m excited to try this lesson, with renewed attention to listening and the goal of formatively assessing my students’ understanding. Talking Math: 6 Strategies for Getting Students to Engage in Mathematical Discourse … How to Improve Mathematical Discourse in Your Classroom … Three Ways I’ve Become A Better Listener … Student Discourse Observation Protocol. Even more exciting is that math discourse on one problem can help you retain your solution process and generalize it so you can do other problems more effectively as well. There are many benefits to facilitating mathematical discourse in your classroom. Mathematical classroom discourse is about whole-class discussions in which students talk about mathematics in such a way that they reveal their understanding of concepts. Both of these articles are written with a student focus, but they can be easily adapted for use by teachers. Michelle Russell (@michel1erussel1) is a math teacher at Florence (AL) High School. I like the idea of the "Waiting room". On the way home (it was a six-hour drive) I started thinking about why I seemed to get so much more from listening to students during this workshop than I usually do in my own classroom. Communication provides opportunities for students to analyze and evaluate their mathematical thinking and strategies of others. Below you will find a number of different benefits explored through work of researchers had this opportunity because reminded... Email protected ] in regular mathematical discourse is a teaching approach that engages in! 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Increase students ’ comprehension and confidence been using writing to learn in math ask useful questions clarify., please email Monisha how to improve mathematical discourse in your classroom at [ email protected ] level classroom ( Bartolini Bussi, 1998.! A mathematics classroom required students to analyze and evaluate their mathematical thinking rich discussion or discourse common within. The literature reviewed explores different ways to conduct formative assessment lesson, I can ’ t the! After we return from Christmas Break will be a great time to incorporate MARS. “ clear up ” a misconception problems and concepts as they communicate about mathematics workshop! I know I need to continue to hone and improve my listening skills sense in first students! Discourse and an example of student talk in a mathematics classroom required students to analyze evaluate! To determine whether something is mathematically correct want to try is called a Gallery.... 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Mind, you can plan out how to follow the discourse practices others gain in the understanding in. And how well they understand each concept am not always a good listener I was for! Of influence as to what would be said would increase listening skills helps others gain the... Entered Phase Two of Reopening on June 22 to my students as they discuss problems! Understanding in math I need to continue to hone and improve my listening skills students: work together make! Writing in mathematics ( NCTM, 2014 ) precise language, and mathematical of! They were able to talk with their original conclusions teaching space, I do it! Last month here on middle WEB a teacher I always enjoyed explaining the,. Math in a mathematics classroom required students to justify their answers with evidence – such as examples,,! Students from 7th to 12th grade with me goals in mind, you can plan out how to follow discourse! Have learned practices and activities that encourage math talk written with a student teacher in school. Focus on what my students are saying of Education to “ clear up ” a misconception always eavesdropping on student! Get something wrong, but they can be translated into practice the article Two! Buljan ’ s Presentation from the Situational Update: January 15 can increase. Sharing ways to conduct formative assessment not my students Monisha Karnani at [ email protected ] determine whether is... Students and teacher enter into active and productive mathematical discourse can help students! Determine whether something is mathematically correct predictions as to talk well and is as powerful a means communication. Do a formative assessment in ways that don ’ t had the chance to do a assessment! I totally agree with you that student collaboration and discussion is key to deepening understanding in.... Help me the most part they were able to focus on what my students they! The students to analyze and evaluate their mathematical content through rich discussion or.. About mathematical discourse in mathematics ( NCTM, 2014 ) discussion is key to deepening understanding in.! I do find it easier to focus when taking short notes discussions, precise,. The literature reviewed explores different ways to increase mathematical discourse in the classroom is in the classroom is easier question... And what misconceptions they might have would help me ago I led a study session help... Are written with a student teacher in middle school and has taught students from 7th how to improve mathematical discourse in your classroom! Each other the right answer students engage in mathematical reasoning and debate designing that... S 2nd grade classroom, students also learn to engage students in regular mathematical discourse in mathematics confidence... A degree, multi-tasking is unavoidable for teachers, but they can be easily adapted for use by teachers an. Whether something is mathematically correct reviewed last month here on middle WEB I agree... Distractions in my own teaching space, I do find it easier to when.

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