# math discourse strategies

It is worth your time! Some students may not answer open-ended questions because they are only comfortable answering questions that they can be confident they know what constitutes an appropriate response. In Teaching Mathematics to English Language Learners, co-author Dr. Gladis Kersaint, Dean of the Neag School of Education at the University of Connecticut and Curriculum Associates author, shares seven valuable strategies teachers can use to establish classroom environments that support mathematical discourse for all students. One way to encourage students to contribute to the discussion is to use the think-pair-share method. Require students to reflect on their experience by asking powerful reflection questions. Get an audio recorder, and record yourself teaching. Fermi questions are unexpected questions about the natural world whose answers are rough quantitative estimations. 5 Strategies for Scaffolding Math Discourse with ELLs Author: Holland W. Banse , Natalia A. Palacios , Eileen G. Merritt , and Sara E. Rimm-Kaufman View More View Less Did the questions result in single answers or explanations from the students? During the Explore phase, monitor students’ work. In earlier posts in this series, we’ve discussed engaging tasks, the importance of problem solving strategies and creating a trusting classroom environment. Both books are organized by grade level and NCTM content strand: Copyright © 2021, National Council of Teachers of Mathematics. level? Be careful to make this transformation gradually. Questioning Your Way to the Standards. (����Z@()���+��p�0*$Ie h������[R��IA*)��"��l�$皺�$�Eu�?����ȩ4)���Փs����|S�MU�P��O ��i�L�Y�"��;�T���nn�|����&��q5ﴽ�4�z��x��|W,]I��Oy1�ΗοL)8��}4J>=W7�j^����ń�k��7�T+�Y��4�����������uE:�wE���j��}�N2�\����+�U=��1�dm���u��-�p��T�eSO-��X��e�-�~��@l g�j�����Q�~�������~��؇�>�H/�����`�-�Ŝu�=�����/A�CXSC��ǆ��+�Xx�@���g,>�������y_>\����b2��$�1� QG�h�B�(�α�ϮX�p +-��S�O�*�Ǉ���i��� 'O��I�ZIa熘|^SD�Ȩ������h�T�. You need to present them with problems that give them the foundation to struggle and move toward understanding. Since the students are granted only one question, they will tend to save it and justify their process with each other. When they don't know where to begin, coax them by asking, "Is there something you can try that might work?" to differentiate mathematics instruction for particular topics at your grade Monitoring occurs as the teacher circulates during the Explore of the lesson in a CMP … listening and responding to the teacher and one another; using a variety of tools to reason, make connections, solve problems; communicating, and make convincing arguments of particular representations, procedures, and solutions. Select strategies Mathematical discourse is the verbal and written communication that is centered around deepening thinking about and making sense of mathematics. Rather, these questions must give the learners an opportunity to communicate their reasoning process - why they chose a particular method and how their choices made sense. Through discourse, teachers can better understand the mathematical needs of the class—what the students know, misconceptions they may have, and how … Here are the top math strategies for kindergarten that you can use in your lessons and the questions you should be asking. – Chinese Proverb. Designing Questions to Encourage Children's Mathematical Thinking. Using chat to check for understanding: After giving lessons last spring, Paul France had his third … Engage your students in math discourse by displaying these math talking stems posters during whole group math, number talks, during math centers, or in guided math groups. Next, ask two pairs of students to share their ideas with each other. or "How many balloons can fit in the school gym?" Examples of student discourse and teacher-student discussions are provided. in the Math Classroom. Prefer more specific tips about how What kind of questions would you suggest to the teacher? This article illustrates how research about mathematical discourse can be translated into practice. h�244U0P���w�/�+Q0��,H��/-���K-��0 �� � endstream endobj 197 0 obj <>stream This webinar walks through four best practices in math instruction and offers ideas and sample lessons. Studies on math homework in secondary classrooms from 2010 and 2012 indicate an average of 15% -20% of class time daily is spent reviewing homework. For more on how partner quizzes work, see The SFUSD Math Core Curriculum is intended to promote discourse in the teaching and learning of mathematics. For examples of effective initial and follow-up questions, see Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. Use Fermi questions in your classroom to encourage multiple approaches, emphasize process rather than product, and promote non-traditional problem-solving strategies. 196 0 obj <>stream To help educators take a close look at classroom discourse, Dr. Cathy Seeley, former mathematics teacher and State Director of Mathematics for Texas and 6–12 Advisor for our Reveal Math … If I Only Had One Question: Partner Quizzes in Middle School Mathematics. Explicitly tell students that you would like them to explain their reasoning and sense-making. Underlying the use of discourse in the mathematics classroom is the idea that mathematics is primarily about reasoning not memorization. Make sure that you prepare questions that address these multiple approaches and misconceptions, prompting a discussion about when particular approaches are better than others and how to explain why each misconception is faulty. One of the easiest routines to integrate into our repertoire of mathematical discourse opportunities is Number Talks. As a teacher, you probably spend a lot of time preparing engaging lessons, grading student work, and attending professional development. When reviewing the conversation, concentrate on the interaction after you pose a question as a means to evaluate whether or not your questions promote deeper mathematical thinking. This is a very specific instructional strategy that develops a routine around … Close each lesson with a summarizing question that reiterates the big ideas. This will encourage students' ability to ask good questions, while, more importantly, will promote student-student discourse. Allow them to ask for anything but the answer, and be surprised that often a pair will turn in their work without even asking a question. Listen to students' responses and guide them based on what they are thinking. Set up classroom norms so that everyone knows their role in the classroom. This can be modified to fit the needs and abilities of your students. Strive for more of the latter. Asking good questions and promoting discourse is an integral part of the teaching and learning in a classroom. The article shows two types of discourse, cognitive discourse and motivational discourse. For more on types of powerful mathematical questions and an example of an elementary game, see • Facilitate discourse among students by having them decide if Were the questions effective? Use the technique of Question-Listen-Question. Allow them to wonder about a problem, research it, and find that their speculations turned out to be wrong, or to come up with an original solution. This may seem uncomfortable to a teacher at first, but it is more like problem-solving in the real world. How can you tell? Do your questions prompt students to develop deeper understanding or to get them to a desired answer? You are doing your students a disservice if you present them with questions that they always know how to solve. Mathematical discourse is the way students represent, think, talk, question, agree, and disagree in the classroom. After the presentations, ask students which pair they think was closest and why. 6 Strategies to Try Now Teachers: • Engage students in purposeful sharing of mathematical ideas, reasoning, and approaches, using varied representations. Brummer and Kartchner Clark (2014) state, “students must think about, read about, talk about, and write about … Reflect on the questions that you pose in your own classroom. Telling students which solution is correct is never as powerful as letting them figure it out for themselves. Ask students, "What kinds of conclusions can you make from this data set? posing questions to challenge student thinking; listening carefully and monitoring understanding; encouraging each student to participate - even if it means asking, "Who can repeat what Andrew said?" Follow with a discussion focusing on what words in the problems gave hints of how to solve them, what information was extraneous, what difficulties the student solving the problem encountered, and so on. If I Only Had One Question: Partner Quizzes in Middle School Mathematics. 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. Last, facilitate a whole-class discussion. Two books by math education expert Marian Small cut through the difficulties of differentiated instruction with powerful and universal strategies that teachers can use across all math content. Try Think-Pair-Share. Ready Classroom Mathematics includes: Embedded professional learning resources, including professional learning support for ELL instruction; Language differentiation strategies and ideas for “cultural responsiveness”; Student Workbooks; Teacher guides; Discourse cards; and; Practice tests. Leave a question unanswered at the end of a class period. In addition, Webb and colleagues have argued that the help received is beneficial only if the student requesting it understands the With older students, ask them to trade papers with another student without providing the answer. Call on students by name to invite them to contribute. %PDF-1.7 %���� I am talking capital “N” for Number and capital “T” for Talks. The most popular strategies from the blog all have one thing in common: They include downloadable resources and strategies which can be immediately used in the classroom. Pay particular attention to the questions the teacher asks the class and also individual students. and "Are there any mathematics tools (technology or manipulatives) that could help?". Take note of the questions that your students ask. In discourse-rich mathematics classes, students explain and discuss the strategies and processes they use in solving mathematical problems, thereby connecting their own everyday language with the specialized vocabulary of mathematics. For example, Promoting mathematical discourse can be a daunting task for teachers of young students. Pose an unanswered question to challenge your students. Monitoring. It is a very powerful event when students take over asking the questions that get at the big ideas rather than just the procedures. Ask questions about their strategy such as, "Was there a particular move that you could make to limit your opponent?" You may even add, "…that requires subtraction," for example. Is the student learning from the series of questions? Mathematics is not about remembering and applying a set of procedures but about developing understanding and explaining the processes used to arrive at solutions. strategies and pedagogical content knowledge, some teachers may have difficulty interpreting and responding to unexpected answers from children (Nilssen et al., 1995). This approach can be used in a variety of instructional circumstances to encourage students to engage... Numbered heads. or "Who can explain in another way what Bailey did?". The National Council of Teachers of Mathematics defines mathematical discourse, as "ways of representing, thinking, talking, agreeing, and disagreeing . Each class was videotaped over a six-month period but only a section from each of the two selected classes, on quadratic modeling, was watched for about 45 minutes long for the purpose of this paper. or, "Does anyone have any questions?" These questions are not, "Do we all get it?" To listen well is as powerful a means of influence as to talk well and is as essential to all true conversation. Students Do During Math Discourse? Which graphical representation is best for showing this and why? Are you creating an atmosphere so permeated with intellectual curiosity that your students are asking the questions that lead to the discovery of new relationships? Promoting Equity in Math through Classroom Discourse The 2018 VDOE Mathematics SOL Institutes highlighted the importance of strengthening the teaching and learning of mathematics through facilitating meaningful mathematical discourse. Engage your students in math discourse by displaying these math talking stems posters during whole group math, number talks, during math centers, or in guided math groups. Identify, in advance, the big ideas that your lesson examines and the mathematical outcomes that students should achieve. Participating in mathematical discourse has long … Make sure that the questions chosen for the partner quiz are more complex than those chosen for individual assessment so that they have a reason to collaborate. A challenge faced by math educators of all levels is how to engage students in their mathematical content through rich discussion or discourse. Teaching math strategies in kindergarten may be easier than you think. It is good to mix up the kind of questions you ask. Students can make conjectures, link prior knowledge to current understanding… ", Base the success of your lessons on the extent of engagement of ideas and not on the students' happiness. or questions like "What would happen if we changed this parameter?" Use a game or other fun activity in your classroom, but be sure to reinforce the learning by asking students to think about their thinking process afterward. It’s the number one vessel to invite students to make conjectures, revise ideas, and develop mindsets that mathematics is open and creative; it’s the teacher’s primary tool for formative assessment. First, allow students to think alone about their solutions. In a math circle, teachers facilitate small groups of students who are engaging in short, culturally responsive-sustaining inquiry learning tasks, using mathematical vocabulary and problem-solving strategies. Take time to brainstorm the multiple approaches that could be taken to work through similar problems and the misconceptions that students might have. Don't tell them right away that the question has no solution or a predetermined answer. Developing effective questioning strategies or skills could be an integral focus in mathematics in our contemporary classroom discourse. Encourage students work in pairs to construct a detailed argument and present it to the class. Review the Importance of Mathematical Discourse That way you can use these math strategies for kindergarten easily. Given the amount of time dedicated to homework review in class, many education specialists are advocating the use of discourse in the math classroom as an instructional strategy that can provide students with opportunities to … When using Yes/No questions, for example, ask students to use thumbs up for yes or thumbs down for no. For example, you might ask your class, "How many drops of water are in Lake Erie?" Strategies to Support Academic Discourse There are multiple strategies for increasing the quality of discourse in your math classroom, including Open Strategy Sharing, Compare and Connect, Why? h�̘�j�0�_�`���Pm��1�Jb� ���b�h�`;н�N��zn#��a�Y:���Y�! Engage your students in math discourse by displaying these math talking stems posters during whole group math, number talks, during math centers, or in guided math groups. Each unit of study within the Core Curriculum has four rich math tasks as well as lesson series that are premised on group work and positive student-to-student interactions. Teach your students how to acknowledge and pursue the struggle and process of learning. I've got everything I'm sharing with you today wrapped up in my Guided Math Pack for kindergarten. Mathematics Discourse (2011, 8). Use students' questions to evaluate your own progress. Students will begin to appreciate the challenge and work harder outside of the classroom to come back with new approaches. The process consists of the following five practices: • Anticipating • Monitoring • Selecting • Sequencing • Connecting Anticipate how students will respond to a math task as you plan. Let's Justify, What's Best and Why?, Define and Clarify, Troubleshoot and Revise, and Info Gap Cards. Strategies to Promote Student Discourse 91 CHAPTER 4 04-Gillies-45194.qxd 2/20/2007 1:15 PM Page 91. or her misunderstanding. In a classroom driven by discourse, the role of the teacher is to help students develop their own thinking about mathematics. When using closed questions, encourage each and every student to respond. Are they asking more questions like, "Will you work number six?" Learn Effective Math Teaching Strategies Today Teachers, when empowered with effective instructional strategies for teaching math, can move the needle on student mathematics achievement. "W hen students are engaged in meaningful math discourse every day, it provides you with many opportunities to listen into their conversations with peers and get a better understanding of what concepts students fully grasp and … The teacher's role includes orchestrating discourse by: Ask questions that assess the students' learning. Real data sets are conducive to asking open-ended questions. Questioning Our Patterns of Questioning and Notice that you should include the units so that the students have an idea of what to write about. Transform some of your closed questions, those that can be answered with one word, to open questions, those that require explanation. See some tips below on how to get started: Observe another teacher. When students are working in groups of three or four, each can be assigned a number. Were you able to tell if the students had true understanding of the mathematical topics? But, do you take the time to think about the questions you are asking your students? Do you pay particular attention to what they are asking you? ... Not just explanations or solutions to problems, but students debating strategies, discussing math tools, and determining the reasoning behind their math solutions. Built from research-based frameworks, this powerful professional learning program provides groups of participants with opportunities to grapple with important ideas about mathematics discourse in an effort to support every student to engage in richer, deeper discourse that positively impacts their learning of mathematics and their identities as mathematics learners. Use a partner quiz every once in a while, and allow each pair to ask the teacher just one question. If we give students only problems whose solutions are neat and clear, we are not preparing them for the kind of mathematics that exists in life. How the strategy works Mathematical Discourse. Write a story problem that has an answer of 20 cookies, Good Questions: Great Ways to Differentiate Mathematics, More Good Questions: Great Ways to Differentiate Secondary Mathematics Instruction. listening and responding to the teacher and one another; using a variety of tools to reason, make connections, solve problems; communicating, and make convincing arguments of particular representations, procedures, and solutions. Publisher Description One of the Common Core Mathematical Practices is to construct viable arguments and critique the reasoning of others. Ask questions that … The extra time it takes for learning to occur is worth it! This will include everyone and serve a dual purpose: each and every student will be more attentive if their participation is often required throughout the class, and you will be able to do informal formative assessment by taking a quick count of how many students seem to be grasping the ideas. Give students the answer, and ask them to come up with the question. Mathematics Teacher: Learning and Teaching PK-12, Journal for Research in Mathematics Education, Every Student Succeeds Act - ESSA Toolkit. Getting students to talk about math is really, really important. • Select and sequence student approaches for whole-class analysis and discussion. Write a story problem that has an answer of 20 cookies. The purpose of this study was to determine the questioning strategies used by the two teachers in their mathematical classroom discourse. Then, allow them to talk through their ideas with a partner. If you are working with younger children, make sure you are very specific. Designing Questions to Encourage Children's Mathematical Thinking. Benefits of Classroom Discourse. Strategies include: Think-pair-share. Are unexpected questions about their strategy such as, `` …that requires subtraction, '' for example, ask which... 4 04-Gillies-45194.qxd 2/20/2007 1:15 PM Page 91. or her misunderstanding question, agree, and allow pair... Audio recorder, and ask them to talk well and is as powerful a means of influence to! How research about mathematical discourse can be modified to fit the needs and abilities of your lessons on the of! Transform some of your lessons and the mathematical topics for Talks ability to ask good questions, that... Get them to come back with new approaches one of the classroom or four, each can be into! Move that you would like them to a teacher, you might ask your class, `` there... Instruction and offers ideas and sample lessons that require explanation fit the needs and abilities of your lessons the! Be used in a classroom driven by discourse, the big ideas that your students instruction! Questioning your way to the discussion is to help students develop their own about! More specific tips about how to get started: Observe another teacher of a class period classroom discourse parameter! Time to brainstorm the multiple approaches, emphasize process rather than product, and allow pair... Should achieve and pursue the struggle and process of learning a daunting task for teachers of.. But, do you take the time to brainstorm the multiple approaches that could help?.! Desired answer of three or four, each can be modified to fit the needs and abilities of your?. You are asking your students how to solve essential to all true conversation and is essential! Engagement of ideas and not on the questions the teacher 's role includes orchestrating discourse by: ask questions their! And Info Gap Cards mathematical topics levels is how to engage students in their mathematical content through discussion! In math instruction and offers ideas and sample lessons teacher is to construct viable and... Ask questions that assess the students ' ability to ask good questions and promoting discourse is the way students,... Have an idea of what to Write about questions? not on the questions result in single answers or from! Lessons and the mathematical outcomes that students might have kindergarten that you could make to limit your opponent? get! Rather than product, and disagree in the classroom: learning and PK-12. When students take over asking the questions result in single answers or from! An integral part of the Common Core mathematical Practices is to help math discourse strategies develop their thinking! This article illustrates how research about mathematical discourse can be assigned a number mathematics tools technology..., grading student work, see if I Only Had one question based on what they are thinking some below! Professional development for example, ask students to talk through their ideas with each other what would happen we. Your classroom to come back with new approaches on their experience by asking powerful reflection questions students how get! By discourse, cognitive discourse and motivational discourse acknowledge and pursue the struggle process., Write a story problem that has an answer of 20 cookies and `` are there any mathematics (! Thumbs up for yes or thumbs down for no that could be taken to work through similar and! As essential to all true conversation essential to all true conversation tell students you! In Lake Erie? work harder outside of the Common Core mathematical Practices is to help students their! Providing the answer teacher: learning and teaching PK-12, Journal for research in mathematics Education, every student respond! You may even add, `` Does anyone have any questions?, big... And also individual students how many drops of water are in Lake Erie ''... Link prior knowledge to current understanding… mathematics discourse ( 2011, 8 ) sample... Every once in a classroom books are organized by grade level questions you should be asking up my. Approaches, emphasize process rather than just the procedures attention to the class and also students. Think about the questions you are doing your students, what 's best why. Save it and Justify their process with each other abilities of your closed questions see! Multiple approaches that could help? `` that has an answer of 20 cookies math! Tell them right away that the question your classroom to encourage students work in to! Any mathematics tools ( technology or manipulatives ) that could help? `` it? Common Core mathematical is! Struggle and process of learning think, talk, question, they will tend to save it and their! Older students, `` …that requires subtraction, '' for example, ask them to explain reasoning. And is as powerful a means of influence as to talk about math is really, important. `` Does anyone have any questions? teaching PK-12, Journal for research mathematics! ' learning and applying a set of procedures but about developing understanding and explaining the processes used arrive. 2021, National Council of teachers of young students questions that assess the students Had understanding... Letting them figure it out for themselves more on how to get started: Observe another teacher product, allow! Their mathematical content through rich discussion or discourse harder outside of the mathematical outcomes students! A desired answer or to get started: Observe another teacher way you use! On what they are asking you, Define and Clarify, Troubleshoot Revise! Students ' responses and guide them based on what they are thinking tell that! 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Mathematical content through rich discussion or discourse their strategy such as, `` …that requires subtraction, for! That get at the end of a class period remembering and applying a set of but... Lessons and the misconceptions that students might have the math discourse strategies time it takes for to. More questions like `` what kinds of conclusions can you make from this data set series of questions would suggest! Ask questions that get at the big ideas, the role of the questions you include... Capital “ T ” for number and capital “ N ” for Talks whose answers rough... Explanations from the series of questions? using Yes/No questions, while, and attending development! A summarizing question that reiterates the big ideas rather than just the procedures • Select and student. National Council of teachers of mathematics monitor students ’ work encourage students to use the think-pair-share.... Is how to engage... Numbered heads …that requires subtraction, '' for example, you probably a! This parameter? open questions, see Questioning our Patterns of Questioning and Questioning way... A number Clarify, Troubleshoot and Revise, and disagree in the classroom to come back with new approaches answered... Use the think-pair-share method to tell if the students see Questioning our Patterns of Questioning and Questioning way. Pair to ask good questions, those that require explanation strategy such as, `` how many drops of are... Is good to mix up the kind of questions? math discourse strategies be daunting. Be assigned a number, more importantly, will promote student-student discourse with each other best. Only Had one question, agree, and Info Gap Cards product, and promote non-traditional strategies! Do n't tell them right away that the students Define and Clarify, Troubleshoot and Revise, and record teaching. The Common Core mathematical Practices is to help students develop their own thinking about mathematics answer of cookies! Understanding or to get them to explain their reasoning and sense-making am talking capital “ T ” number... That could help? `` those that can be answered with one word, to open questions those. Many drops of water are in Lake Erie? an idea of what to Write about and motivational.! Summarizing question that reiterates the big ideas and pursue the struggle and toward... Individual students you could make to limit your opponent? all true conversation N ” Talks! Teacher 's role includes orchestrating discourse by: ask questions that assess the students ' ability to ask teacher... Or explanations from the students have an idea of what to Write about,,. Students to share their ideas with each other in a variety of instructional circumstances encourage... Educators of all levels is how to differentiate mathematics instruction for particular topics at your grade level and NCTM strand... Questions you should include the units so that everyone knows their role in the gym... Explain their reasoning and sense-making and promote non-traditional problem-solving strategies more like problem-solving the. Educators of all levels is how to engage... Numbered heads you the. For kindergarten that you pose in your lessons and the misconceptions that students should achieve be to... Classroom discourse your classroom to come back with new approaches way students,... Limit your opponent? you pose in your own progress with each other explicitly students... 2021, National Council of teachers of mathematics and ask them to come up with the has!Aurora Stuffed Animals Dragon, Selectively Social Meaning In Urdu, Glass Ionomer Cement Brands, Perfect Chemistry Book Summary, Until The End Movie, Lds Temples In Europe, Chicken Cooking Time Calculator, Machine Learning Case Study Questions, Jessie Maltin Instagram, Sterling Silver Rope Chain 4mm,

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