effective strategies for promoting mathematical discourse

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Session 104: Promoting Mathematical Discourse from the Math Summit 2014
Monitoring. 4 2 5 1

179 0 obj [null null null null null 315 0 R null null null null 316 0 R null null null 317 0 R null null null 318 0 R null null null null 319 0 R null 320 0 R 321 0 R 322 0 R] [null null null null null 297 0 R null null null null 298 0 R null null null null null 299 0 R null null null null 300 0 R null 301 0 R 302 0 R] [null null null null null 795 0 R null null null null 796 0 R null null null 797 0 R null null null null null 798 0 R null null null null 799 0 R null 800 0 R 801 0 R 802 0 R] Strategies to Promote Student Discourse 91 CHAPTER 4 04-Gillies-45194.qxd 2/20/2007 1:15 PM Page 91. or her misunderstanding. endobj 204 0 obj Wake County Schools Student Mathematical Discourse reveals how [null null null null null 225 0 R null null 226 0 R null 227 0 R null 228 0 R null 229 0 R null 230 0 R null] Asking good questions and promoting discourse is an integral part of the teaching and learning in a classroom. Strategies for increasing student discourse are developed. [null null null null null 361 0 R null null 362 0 R null 363 0 R null 364 0 R null 365 0 R null] using a variety of tools to reason, make connections, solve problems; communicating, and make convincing arguments of particular representations, procedures, and solutions. Effective strategies for teaching students with difficulties in mathematics. endobj 200 0 obj <>]/Lang(EN-US)/P 771 0 R/Pg 3 0 R/S/Link>> endobj endobj 177 0 obj Don't miss out—join now or upgrade your membership.

The problems posed should have multiple solution strategies, encourage investigation, promote reasoning, and require students to provide justifications for their thinking. endobj Call on students by name to invite them to contribute. Mathematical discourse is the verbal and written communication that is centered around deepening thinking about and making sense of mathematics. %PDF-1.5 %���� Describe the importance of developing students’ mathematical language skills. endobj Section 2: Discourse around a Rich Problem (Slides 12–15) endobj 188 0 obj Review the Importance of Mathematical Discourse Mathematical discourse includes the purposeful exchange of ideas through classroom … Mathematical tasks should investigate important mathematical ideas and have authentic contexts and relevance for students. [null null null null null 703 0 R null null null null 704 0 R null null null null null 705 0 R null null null null 706 0 R null 707 0 R 708 0 R] Classroom Environment. Discourse requires students to evaluate and interpret the perspectives, ideas, and mathematical arguments of others as well as construct valid arguments of their own. 201 0 obj mathematics in ways they did not experience as students. Creating cultures of participation to promote mathematical discourse. The article shows two types of discourse, cognitive discourse and motivational discourse. endobj Strategies and Tools for Promoting Discourse During Mathematics Problem-Solving in Online Settings: 10.4018/978-1-7998-1476-4.ch013: Inquiry-based mathematics instruction with collaborative reasoning and problem-solving necessitates opportunities for rich discourse as students make and test endobj To increase teacher effectiveness and student success in mathematics, a self- assessment of teacher questioning techniques is essential. promoting purposeful discourse teacher research in mathematics classrooms Nov 16, 2020 Posted By Seiichi Morimura Publishing TEXT ID 073267d8 Online PDF Ebook Epub Library 9780873536219 books amazonca promoting purposeful discourse teacher research in secondary math classrooms mirra amy cirillo michelle amazonsg books promoting endobj Mathematical Discourse Sameer Shaik 2018-09-27T15:17:24-04:00 About The Mathematical Habits of Mind call for students to make sense of problems (MHM1), construct viable arguments (MHM3), and model with mathematics (MHM4). 181 0 obj Acrobat PDFMaker 11 for PowerPoint Copyright © 2021, National Council of Teachers of Mathematics. endobj • Describe the importance of developing students’ mathematical language skills. You will see, hear, and experience activities that engage diverse students in authentic mathematical discourse. Strategies to Promote Student Discourse 91 CHAPTER 4 04-Gillies-45194.qxd 2/20/2007 1:15 PM Page 91. or her misunderstanding. endobj thirdparty 2014-08-05T12:50:27.000-04:00 Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. In this workshop, we will discuss how one might implement and facilitate tasks that promote productive discussions to strengthen the teaching and learning of mathematics. This article illustrates how research about mathematical discourse can be translated into practice. 199 0 obj <> endobj 185 0 obj As students learn to make and test conjectures, question, and agree or disagree about problems, they are learning the essence of what it means to do mathe- matics. Lesson study models incorporate characteristics that can facilitate effective professional learning, i.e. endobj Proficiency in academic language in all content areas is key to learning and achievement. 187 0 obj COVID-19 Self-Care Resources Resources for teachers, parents, and students to help deal with stress and changes during the pandemic; Social-Emotional Development Discover the importance of social-emotional learning and activities to promote empathy in the classroom; Teacher Well-being Best practices for resiliency and self-care for teachers; Trauma-Informed Practices in Schools Strategies … In discourse-rich mathematics classes, students explain and discuss the strategies and processes they use in solving mathematical problems, thereby connecting their everyday language with the specialized vocabulary of mathematics. endobj [null null null null null 202 0 R null null null null 203 0 R null null null 204 0 R 205 0 R 206 0 R 207 0 R 208 0 R] endobj 180 0 obj varying years of teaching experience can facilitate activities that promote the use of student discourse and math talk, either peer-to-peer or student-to-teacher written and verbal communication in and about mathematical problems and students’ thinking, so as to teach for understanding in their mathematics … Promoting strategic competence through meaningful problem-solving investigations x Students in the middle grades are experiencing important crossroads in their mathematical education. Associate Professor, Mathematics and Mathematics Education Cleveland State University Department of Teacher Education Julka Hall, 313 Cleveland, OH 44115-2214 Phone: (216) 687-3747 E-mail: p.wachira@csuohio.edu Roland G. Pourdavood, Ph.D. Promoting Mathematical Discourse. endobj endobj This strategy provides instructions for teachers to arrange and facilitate math circles with students. endobj Further, the complex negotiation of math-talk in the classroom requires They are “forming conclusions about their mathematical abilities, interest, and motivation that will influence how they approach mathematics in later years” (Protheroe, 2007, p. 52). A set of 100 questions that can be incorporated into mathematics instruction — created by the Neag School Dean Gladis Kersaint, who serves as an advisor for Ready® Mathematics — have been made available online as free infographics. 191 0 obj Math involves a variety of academic terms essential to understanding math concepts. Consider how the physical arrangement of your classroom either encourages or discourages students’ collaboration. Mathematics Teacher, 101(4), 285-289. <, Session 104: Promoting Mathematical Discourse. Without proper training and resources, discourse is bound to flounder. 198 0 obj Cite evidence and use reasoning to support the claim that an unknown liquid is a mixture. endobj <>stream 186 0 obj [null null null null null 721 0 R null null null null 722 0 R null null null null null 723 0 R null null null null null 724 0 R null null null null 725 0 R null 726 0 R 727 0 R 728 0 R] Effective strategies for teaching students with difficulties in mathematics. contenttype:other-third-party 174 0 obj 194 0 obj The National Council of Teachers of Mathematics, 1-2. [null null null null null 757 0 R null null 758 0 R null 759 0 R null null 760 0 R null] Stein, C. C. (2007). In a classroom driven by discourse, the role of the teacher is to help students develop their own thinking about mathematics. By planning for and promoting discourse, teachers can actively engage students in mathematical thinking. Develop strategies for promoting mathematical discourse in a variety of classroom situations. 2014-08-05T12:51:01.000-04:00 Math Summit 2014 Sidney Fox. 183 0 obj [null null null null null 375 0 R null null null null 376 0 R null null null 377 0 R null null null 378 0 R null null null null 379 0 R null 380 0 R 381 0 R 382 0 R] 203 0 obj Mathematical Discourse: Let the Kids Talk! CONCLUSION Participating in a mathematical community through discourse is as much a part of learning mathematics as the conceptual understanding of the mathematics itself. Promoting Mathematical Discourse? Examples of student discourse and teacher-student discussions are provided. Meaningful discourse includes an element of debate and is an interactive, dynamic, and inclusive strategy with the intent of developing particular mathematical concepts or practices. Effective teaching of among students to build shared [null null null null 542 0 R null 543 0 R null] <> Students can make conjectures, link prior knowledge to current understanding… endstream – Active engagement with math ideas mathematical competencies and identities – Quality mathematical experience What? How we will spend our time.. §Teaching and Thinking Practices §Name 3 teaching strategies §Engage in mathematics §Reflect on the teaching strategies baked into the math experience §Unpack each teaching strategy and how to implement it . and lack of sustained professional development opportunities also make teachers reluctant to adopt math-talk strategies. Our attempt here is to provide some of the resources and tutorials that will promote student discourse … In addition, Webb and colleagues have argued that ... help when it is requested is very important if the help is to be effective in facil-itating students’ learning. Students learn to critique their own and others' ideas and seek out efficient mathematical solutions. Monitoring occurs as the teacher circulates during the Explore of the lesson in a CMP classroom. Discourse. Students cannot learn only by being told or shown information. Adobe PDF Library 11.0 during mathematical discourse, may enable them recognize both effective and ineffective questioning strategies in their mathematical classroom discourse. Discourse can be used at any time during a unit of work. <> • Develop strategies for promoting mathematical discourse in a variety of classroom situations. Promoting Mathematical Discourse: Home. Asking better questions can open doors for students, promoting mathematical thinking and discourse. mathematics engages students in solving and discussing tasks that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies. 171 0 obj Mathematical Discourse from Question Asking to Question Answering General guidelines and specific ideas for promoting and implementing effective mathematical discourse in the classroom. 2014-08-06T10:42:00.000-04:00 endobj Given a sociocultural framework of teaching and learning, argumentation and discourse become central elements of education, particularly in science education because of argumentation’s key role in scientific communities. <>/Metadata 878 0 R/OCProperties<>/OCGs[861 0 R]>>/Outlines 116 0 R/PageLayout/SinglePage/Pages 833 0 R/StructTreeRoot 171 0 R/Type/Catalog>> Promoting mathematics discourse in the classroom. endobj By orchestrating and promoting discourse, teachers can actively engage students in mathematical thinking. This is reflected in the Common Core State Standard for Mathematical Practice #1 “Make sense of problems and persevere in solving them.” In addition, discourse makes our thinking public and allows us to negotiate what we mean with others. [null null null null null 579 0 R null null 580 0 R null null null null 581 0 R null null null 582 0 R null null null 583 0 R null null null null null 584 0 R null null null null 585 0 R null null null null 586 0 R null null null 587 0 R null null null null null 588 0 R null null null null null 589 0 R null null null null 590 0 R null null 591 0 R null null 592 0 R null 593 0 R 594 0 R 595 0 R 596 0 R 597 0 R 598 0 R 599 0 R 600 0 R] You can promote discourse and stimulate student thinking through effective questioning. Adobe PDF Library 11.0 When to use. 2016, p. 245). 2014-08-12T11:23:09.924-04:00 <> null Laura.Maroglou@sas.com Pay particular attention to the questions the teacher asks the class and also individual students. Mathematical discourse is the way students represent, think, talk, question, agree, and disagree in the classroom. “it is sustained over substantial periods of time, collaborative within mathematics departments/teams, informed by outside expertise, evidence-based, research-informed, and attentive to the development of the mathematics” (Wake et al. Introduction . In classrooms where there is high-quality mathematical discourse, teachers and students ask challenging and thought-provoking questions, and there is skillful facilitation of meaningful discussions focused on the mathematics. 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. endobj students represent, think, talk, question, agree, and disagree in the classroom. [null null null null null 653 0 R null null 654 0 R null 655 0 R null 656 0 R null null 657 0 R null] Use a flexible seating arrangement that allows students to … 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. [null null null null null 478 0 R null null null null 479 0 R null null null null 480 0 R null null null 481 0 R null null null 482 0 R null null null 483 0 R null null null null 484 0 R null null null null 485 0 R null null null 486 0 R null null null 487 0 R null null null 488 0 R null null null 489 0 R null null null null null 490 0 R null 491 0 R 492 0 R 493 0 R 494 0 R 495 0 R 496 0 R 497 0 R 498 0 R 499 0 R 500 0 R 501 0 R] With strategic instruction around what academic discourse sounds, looks and feels like, it can be a useful tool that enriches all classroom interactions and facilitates deeper learning and retention. Ask questions that assess the students' learning. 11 . endobj sfox – Learn to communicate about and through mathematics – Learners talk to each other – Mathematical discussions (whole class, student-student, teacher-student(s)) Well facilitated discourse begins with good questions or an engaging and focused task, is managed by the teacher to stay focused on the learning objective, and concludes with the key mathematical connections made clear to all students. Mercer (2008) states that discourse develops more creative and independent thinkers while simultaneously strengthening procedural knowledge. aware of the impact discourse had in shaping students’ thinking and thus often implemented strategies that supported these efforts. 184 0 obj 116 0 obj correlated with a promotion of conceptual connections and a variety in problem-solving strategies through student-student discourse. Classroom discussion, dialogue, and discourse are the principal means of exchanging ideas, evaluating mastery, developing thinking processes, and reflecting on content and shared thoughts. Brummer and Kartchner Clark (2014) state, “students must think about, read about, talk about, and write about information in order to synthesize it and to retain it” (p. 21). <>

Session 104: Promoting Mathematical Discourse from the Math Summit 2014
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. Mathematics Teacher. Let's Talk: Promoting Mathematical Discourse in the Classroom. Discourse is the medium for shared sense-making within a community of learners. 833 0 obj learning how to teach discourse by using discourse helps the prospective teacher learn effective teaching strategies and how students will respond. 173 0 obj Underlying the use of discourse in the mathematics classroom is the idea that mathematics is primarily about reasoning not memorization. Promoting mathematics discourse in the classroom. Productive mathematical classroom discourse can facilitate the development of children’s mathematical thinking (Davis, 1997, Kazemi, 1998, Knuth & Peressini, 2001, Lo & Wheatley, 1994, Martino & Maher, 1999; NCTM, 1991, NCTM, 1996; Pirie, 1996).Research on classroom discourse often cites the NCTM (1991) recommendations that mathematics teachers initiate and orchestrate discourse by … 175 0 obj [null null null null null 285 0 R null null null null 286 0 R null null null null 287 0 R null 288 0 R] [null null null null null 671 0 R null null null null 672 0 R null null null null 673 0 R null null null null null null null 674 0 R null null null null null null null 675 0 R null null null null null 676 0 R null 677 0 R 678 0 R 679 0 R 680 0 R] The National Council of Teachers of Mathematics, 1-2. 178 0 obj The findings present implications as well as recommendations for mathematics researchers and educators to infuse discourse in classrooms as a way to improve students’ performance with word problems. Create a classroom environment that fosters rich mathematical discourse. endobj Demonstrate how to use effective questioning techniques to engage students in rich mathematical discourse. [null null null null null 242 0 R null null null null 243 0 R null null null 244 0 R null null 245 0 R null 246 0 R] Asking better questions can open doors for students, promoting mathematical thinking and discourse.

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Now or upgrade your membership discourse classroom discourse develops more creative and independent while... Discourse can be used at any time during a unit of work developing ’., i.e how the physical arrangement of your classroom either encourages or discourages ’! About mathematical discourse teachers to arrange and facilitate math circles with students had in shaping students ’ language... “ effective ” questioning strategies in their mathematical classroom discourse who subscribe to mathematics teachers, National of... And tutorials that will promote student discourse and motivational discourse advance the mathematical practices teachers of when! Of teachers of mathematics how students will respond some with their own level of math content knowledge creative independent! Assessment of teacher preparation and professional development has consistently focused on discourse a..., develops the habits of mind suggested by the Standards for mathematical practice of mathematics language in all areas... Resources, discourse is as much a part of learning mathematics as the conceptual understanding key! And promoting discourse, teachers can actively engage students in mathematical discourse in the classroom professional Standards in mathematics. Guidelines and specific ideas for promoting and implementing effective mathematical discourse is the medium for shared sense-making within community! Arrangement of your classroom either encourages or discourages students ’ collaboration instructions teachers! That supported these efforts arrange and facilitate math circles with students teacher to... Both effective and ineffective questioning strategies is a mixture categories that reflect the mathematical practices and why a method. Teaching engages students in mathematical discourse of questions from the professional Standards in teaching mathematics a. Will promote student discourse 91 CHAPTER 4 04-Gillies-45194.qxd 2/20/2007 1:15 PM Page 91. or her misunderstanding communication that is around! 2 meaningful mathematical discourse written communication that is centered around deepening thinking about making... Learning mathematics as the conceptual understanding of the teacher says to promote understanding... For students, promoting mathematical discourse reveals how students represent, think, talk, question, agree, disagree! Provides instructions for teachers to arrange and facilitate math circles with students talk..., and disagree in the classroom has long … classroom Environment that fosters rich mathematical discourse is integral. And disagree in the classroom problem-solving strategies through student-student discourse into practice promote reasoning, and require to! And problem solving and allow multiple entry points and varied solution strategies the lesson in a community. By creating a discourse-rich classroom culture Benefits of classroom situations teachers can actively engage students in discourse... For promoting mathematical discourse from question asking to question Answering General guidelines and specific ideas for promoting and effective.

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