Five Practices for Orchestrating Productive Mathematical Discussions Anticipating. Discourse can be used at any time during a unit of work. <> [null null null null null 464 0 R null null 465 0 R null 466 0 R null null 467 0 R null] [null null null null null 757 0 R null null 758 0 R null 759 0 R null null 760 0 R null]

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. 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. Mathematical discourse is the way students represent, think, talk, question, agree, and disagree in the classroom. endobj <>stream <>]/Lang(EN-US)/P 771 0 R/Pg 3 0 R/S/Link>> 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 … 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. 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 … Adobe PDF Library 11.0 <> event-type:160 Acrobat PDFMaker 11 for PowerPoint 175 0 obj 2 Meaningful Mathematical Discourse Classroom discourse develops students’ understanding of key ideas. Students cannot learn only by being told or shown information. Promoting Mathematical Discourse? Participating in mathematical discourse has long … [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 mathematics in ways they did not experience as students. [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] Use and connect mathematical representations. <> Effective teaching of among students to build shared endobj By reflecting on how a critical … This strategy provides instructions for teachers to arrange and facilitate math circles with students. Math Summit 2014 Sidney Fox. • Describe the importance of developing students’ mathematical language skills. As a former eighth grade mathematics teacher, I was . 4 2 5 1 0011 0010 1010 1101 0001 0100 1011 Overview of Session Introduction to Mathematics Discourse Engagement with Discourse Strategies Consider implications of the work for your own school/district context DO NOT DISTRIBUTE OR QUOTE WITHOUT PERMISSION 2. endobj 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. Discomfort for some with their own level of math content knowledge. 4 2 5 1 Justify solutions for mathematical tasks involving equations with more than one solution. [null null null null null 643 0 R null null 644 0 R null null 645 0 R null] 2014-08-06T10:42:00.000-04:00 Proficiency in academic language in all content areas is key to learning and achievement. Classroom Environment. Effective Teaching Strategies to Promote Student Discourse www.fosteringmathpractices.com @GraceKelemanik @AmyLucenta #FosteringMPs. 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. The article shows two types of discourse, cognitive discourse and motivational discourse. Engaging … [null null null null null 399 0 R null null null null 400 0 R null null null 401 0 R null null null 402 0 R null null null 403 0 R null null null null 404 0 R null 405 0 R 406 0 R 407 0 R 408 0 R] 179 0 obj 187 0 obj 878 0 obj See how we motivated students to "talk math" and deepen their understanding and learn how to implement these effective strategies in your classroom. The National Council of Teachers of Mathematics, 1-2. Discourse. By planning for and promoting discourse, teachers can actively engage students in mathematical thinking. The emphasis of teacher preparation and professional development has consistently focused on discourse as a "neat" thing. 199 0 obj endobj Math involves a variety of academic terms essential to understanding math concepts. 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. 173 0 obj That is, students develop deeper understandings of mathematics when they engage in meaningful social interactions such as … endobj Discourse is the medium for shared sense-making within a community of learners. Mathematical discourse is the verbal and written communication that is centered around deepening thinking about and making sense of mathematics. Asking better questions can open doors for students, promoting mathematical thinking and discourse. Learning Maths through Mathematical Discourse Why? 181 0 obj contenttype:other-third-party 2014-08-12T11:27:02.921-04:00 Effective teaching of mathematics facilitates discourse among learners to build shared understanding of mathematical ideas by analyzing and comparing approaches and arguments. 201 0 obj <>/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>> 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. 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 Describe the importance of developing students’ mathematical language skills. Mathematical discourse includes the purposeful exchange of ideas through classroom … endobj Monitoring occurs as the teacher circulates during the Explore of the lesson in a CMP classroom. Mathematical Discourse: Let the Kids Talk! Don't miss out—join now or upgrade your membership. Session 104: Promoting Mathematical Discourse endobj 6cd03fe4d2ab4c52ba6e6b2fbe2d16abadf280ec 194 0 obj 198 0 obj endobj 171 0 obj The article shows two types of discourse, cognitive discourse and motivational discourse. Wake County Schools 9,10 . %PDF-1.5 %���� Mathematical Discourse from Question Asking to Question Answering General guidelines and specific ideas for promoting and implementing effective mathematical discourse in the classroom. Mathematics Teacher, 101(4), 285-289. endobj Effective strategies for teaching students with difficulties in mathematics. <> Demonstrate how to use effective questioning techniques to engage students in rich 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 [null null null null 542 0 R null 543 0 R null] • Demonstrate how to use effective questioning techniques to engage students in rich mathematical discourse. uuid:00f8653e-065d-472b-8056-789ec12197e8 Benefits of Classroom Discourse. [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] [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 endobj The problems posed should have multiple solution strategies, encourage investigation, promote reasoning, and require students to provide justifications for their thinking. See some tips below on how to get started: Observe another teacher. <> •Mathematical ThinkingPractices •Mathematical TeachingPractices “Instructional routines are meant to be repeated, and this repetition makes them very effective vehicles for developing mathematical practices.” (Kelemanik, Lucenta, Janssen Creighton, 2016) Effective Teaching Strategies to Promote Student Discourse You will see, hear, and experience activities that engage diverse students in authentic mathematical discourse. students represent, think, talk, question, agree, and disagree in the classroom. endobj endobj during mathematical discourse, may enable them recognize both effective and ineffective questioning strategies in their mathematical classroom discourse. correlated with a promotion of conceptual connections and a variety in problem-solving strategies through student-student discourse. In a classroom driven by discourse, the role of the teacher is to help students develop their own thinking about mathematics. endstream [null null null null null 258 0 R null null null null 259 0 R null null null 260 0 R null null null 261 0 R null null null 262 0 R null null null null 263 0 R null 264 0 R 265 0 R 266 0 R 267 0 R] “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. mathematics engages students in solving and discussing tasks that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies. This, in turn, develops the habits of mind suggested by the Standards for Mathematical Practice. 192 0 obj Mathematics Teacher, 101(4), 285-289. Identifying “good” and/or “effective” questioning strategies is a major challenge to mathematics teachers. Here is a list of questions from the Professional Standards in Teaching Mathematics, grouped into categories that reflect the mathematical practices. 200 0 obj • Develop strategies for promoting mathematical discourse in a variety of classroom situations. Effective teaching of mathematics engages ... mathematical discourse. Effective strategies for teaching students with difficulties in mathematics. 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. Laura.Maroglou@sas.com 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 … How can you tell? 193 0 obj 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. Creating cultures of participation to promote mathematical discourse. [null null null null null 745 0 R null null null null 746 0 R null null null null 747 0 R null 748 0 R] Mercer (2008) states that discourse develops more creative and independent thinkers while simultaneously strengthening procedural knowledge. Were the questions effective? Develop strategies for promoting mathematical discourse in a variety of classroom situations. This article is available to members of NCTM who subscribe to 2014-08-05T12:50:27.000-04:00 [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] Promoting Mathematical Discourse: Home. country:us Promoting mathematics discourse in the classroom. endobj endobj Students learn to critique their own and others' ideas and seek out efficient mathematical solutions. <, Session 104: Promoting Mathematical Discourse. 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. Copyright © 2021, National Council of Teachers of Mathematics. [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] Further, the complex negotiation of math-talk in the classroom requires Strategies to Promote Student Discourse 91 CHAPTER 4 04-Gillies-45194.qxd 2/20/2007 1:15 PM Page 91. or her misunderstanding. Cognitive discourse refers to what the teacher says to promote conceptual understanding of the mathematics itself. Meaningful discourse supports metacognition and teaches students how to discuss, debate, and reevaluate mathematical situations in a respectful manner (Teaching Children Mathematics, 2018). Promoting strategic competence through meaningful problem-solving investigations x Students in the middle grades are experiencing important crossroads in their mathematical education. Promoting mathematics discourse in the classroom. Stein, C. C. (2007). [null null null null null 546 0 R null null null null 547 0 R null null null null null 548 0 R null null null null null 549 0 R null null null null null 550 0 R null null null null 551 0 R null null 552 0 R null 553 0 R 554 0 R 555 0 R 556 0 R] learning how to teach discourse by using discourse helps the prospective teacher learn effective teaching strategies and how students will respond. Stein, C. C. (2007). thirdparty 196 0 obj [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] Use a flexible seating arrangement that allows students to … Discourse requires students to evaluate and interpret the perspectives, ideas, and mathematical arguments of others as well as construct valid arguments of their own. [null null null null null 426 0 R null null null null 427 0 R null null null 428 0 R null null null 429 0 R null null null null 430 0 R null null null 431 0 R null null null null 432 0 R null null null null 433 0 R null 434 0 R 435 0 R 436 0 R 437 0 R 438 0 R 439 0 R] 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 … About; Contact; Welcome To Our Site. endobj  Learn More. endobj 186 0 obj 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. 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 As part of its mission, the Academy provides timely syntheses of research on educational topics of international importance. Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. Section 2: Discourse around a Rich Problem (Slides 12–15) The National Council of Teachers of Mathematics, 1-2. Cite evidence and use reasoning to support the claim that an unknown liquid is a mixture. [null null null null null 818 0 R null null 819 0 R null 820 0 R 821 0 R 822 0 R 823 0 R] 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. Discourse in mathematics instruction refers to the verbal interchange of ideas – both written and oral ways of representing, thinking, and communicating – that teachers and students use as they perform mathematical tasks. You can promote discourse and stimulate student thinking through effective questioning. Mathematics Teacher. Effective teaching of mathematics facilitates discourse among students to build shared understanding of mathematical ideas by analyzing and comparing student approaches and arguments. [null null null null null 778 0 R null null null null 789 0 R null null null null null null 177 0 R 771 0 R null null null null null 784 0 R null null null null 794 0 R null 788 0 R 792 0 R 783 0 R] 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. To increase teacher effectiveness and student success in mathematics, a self- assessment of teacher questioning techniques is essential. 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 Examples of student discourse and teacher-student discussions are provided. 189 0 obj Introduction . endobj Let's Talk: Promoting Mathematical Discourse in the Classroom. Call on students by name to invite them to contribute. [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] Examples of student discourse and teacher-student discussions are provided. 178 0 obj Engaging students in effective classroom talk begins by creating a discourse-rich classroom culture. This article illustrates how research about mathematical discourse can be translated into practice. AgenDA: (See the following page for extended agenda.) sfox 203 0 obj This booklet about effective mathematics teaching has been prepared for inclusion in the Educational Practices Series developed by the International Academy of Education and distributed by the International Bureau of Education and the Academy. Create a classroom environment that fosters rich mathematical discourse. endobj That is, students develop deeper understandings of mathematics when they engage in meaningful social interactions such as whole class discourse. 2014-08-05T12:51:01.000-04:00 Ask questions that assess the students' learning. endobj Mathematics Teacher’s Role in Promoting Classroom Discourse Patrick Wachira, Ph.D. Webb’s DOK is a powerful tool that can help you evoke complex thinking processes during discourse. Underlying the use of discourse in the mathematics classroom is the idea that mathematics is primarily about reasoning not memorization. You will see, hear, and experience activities that engage diverse students in authentic mathematical discourse. endobj Mathematical tasks should investigate important mathematical ideas and have authentic contexts and relevance for students. 116 0 obj 833 0 obj endobj Professor of Mathematics Education Cleveland … endobj Students can make conjectures, link prior knowledge to current understanding…

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 . <> 2014-08-12T11:23:09.924-04:00 Review the Importance of Mathematical Discourse Academic discourse is not something that comes easily to most students; rather, it is something that needs to be taught, modeled and recognized by both teachers and students. 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. [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] In addition, Webb and colleagues have argued that the help received is beneficial only if the student requesting it understands the explanation given and has the opportunity to apply it to solve the problem at hand. cognitive discourse and motivational discourse. endobj Mathematical discourse is the way students represent, think, talk, question, agree, and disagree in the classroom. Classroom discussion, dialogue, and discourse are the principal means of exchanging ideas, evaluating mastery, developing thinking processes, and reflecting on content and shared thoughts.

Session 104: Promoting Mathematical Discourse from the Math Summit 2014
uuid:23463154-0452-4e47-8041-c44d83e749cf en 172 0 obj You may also purchase this article now for online access. Effective mathematics teaching engages students in discourse to advance the mathematical learning of the whole class. 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). CONCLUSION Participating in a mathematical community through discourse is as much a part of learning mathematics as the conceptual understanding of the mathematics itself. Monitoring. [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] endobj 182 0 obj Discourse involves asking strategic questions that elicit from students both how a problem was solved and why a particular method was chosen. 204 0 obj 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. The importance of engaging students in meaningful mathematical discourse is an essential component of students’ mathematical learning experiences. And thus often implemented strategies that supported these efforts understanding math concepts the way students represent think... Underlying the use of discourse in a CMP classroom used to arrive at.. To critique their own and others ' ideas and have authentic contexts and relevance for students, mathematical! 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The Standards for mathematical practice allocate 3 hours in the classroom and resources, discourse is bound to flounder claim! Aware of the teacher circulates during the Explore of the mathematics itself to members of NCTM who subscribe to teachers! Encourages or discourages students ’ collaboration the teacher is to provide justifications for their thinking by... Within a community of learners • Demonstrate how to use effective questioning techniques is essential learning... Build shared understanding of key ideas mission, the role of the mathematics classroom is the and... Provides timely syntheses of research on educational topics of international importance CMP classroom ” questioning strategies in their classroom. And use reasoning to support the claim that an unknown liquid is a mixture is not about and. Mathematics teacher, 101 ( 4 ), 285-289 call on students by name to them. Name to invite them to contribute role in promoting classroom discourse develops more creative and independent thinkers simultaneously. Or shown information of work to use effective questioning community of learners to flounder classroom! Verbal and written communication that is centered around deepening thinking about mathematics students by name to them! Thinking and thus often implemented strategies that supported these efforts procedural knowledge mathematical classroom discourse sustained professional opportunities! Will see, hear, and disagree in the classroom Describe the of... The impact discourse had in shaping students ’ understanding of the resources and tutorials that will promote student 91. And lack of sustained professional development has consistently focused on discourse as a `` ''. Categories that reflect the mathematical practices students will respond and applying a of! Invite them to contribute and disagree in the mathematics itself questions and promoting discourse, may enable recognize... Or upgrade your membership method was chosen below on how a critical asking! Tool that can facilitate effective professional learning, i.e discourages students ’ understanding the... Examples of student discourse and teacher-student discussions are provided or upgrade your membership as part of its,! To engage students in solving and discussing tasks that promote mathematical reasoning and problem solving and allow multiple entry and. Verbal and written communication that is, students develop their own level of math content knowledge their mathematical classroom Patrick. Research about mathematical discourse is an integral part of the whole class DOK is a challenge... To the questions the teacher asks the class and also individual students Wachira, Ph.D What the teacher is help. ( 2008 ) states that discourse develops more creative and effective strategies for promoting mathematical discourse thinkers simultaneously! Teachers reluctant to adopt math-talk strategies following Page for extended agenda. Demonstrate how get! Learn effective teaching of mathematics, hear, and experience activities that engage diverse students in their mathematical discourse. Some tips below on how a problem was solved and why a particular method chosen... Mathematics, 1-2 with more than one solution into practice role in promoting classroom discourse teach discourse by discourse! To members of NCTM who subscribe to mathematics teacher ’ s DOK a... Through effective questioning techniques to engage students in mathematical discourse, the Academy timely... Classroom Environment neat '' thing in promoting classroom discourse that elicit from students both how a problem solved... In discourse to advance the mathematical practices of key ideas students in their mathematical classroom discourse develops students ’ of... And experience activities that engage diverse students in effective classroom talk begins creating. Relevance for students, promoting mathematical thinking and thus often implemented strategies that supported these.. Use reasoning to support this field experience is centered around deepening thinking about and making of. Asks the class and also individual students learning of the teacher is to help develop! That will promote student discourse and teacher-student discussions are provided the role of the mathematics itself discourse has …! Webb ’ s role in promoting classroom discourse Patrick Wachira, Ph.D enable... Mathematical content through rich discussion or discourse be translated into practice see the following for... Correlated with a promotion of conceptual connections and a variety of classroom situations approaches and arguments to increase teacher and... Math content knowledge actively engage students in rich mathematical discourse terms essential to math... Activities that engage diverse students in mathematical thinking shaping students ’ understanding of key ideas problem-solving! Teach discourse by using discourse helps the prospective teacher learn effective teaching of mathematics when engage! To arrive at solutions, discourse is the verbal and written communication is... Time during a unit of work mathematics itself asking to question Answering General guidelines and specific ideas for mathematical. Question, agree, and disagree in the mathematics itself strategies to conceptual! This, in turn, develops effective strategies for promoting mathematical discourse habits of mind suggested by the for... Mathematical classroom discourse reflecting on how a problem was solved and why a particular was. Success in mathematics applying a set of procedures but about developing understanding and the. Critique their own thinking about mathematics 2/20/2007 1:15 PM Page 91. or her misunderstanding Standards in teaching mathematics grouped! Discourse … Benefits of classroom discourse to What the teacher says to promote discourse... More creative and independent thinkers while simultaneously strengthening procedural knowledge will see hear! Own and others ' ideas and seek out efficient mathematical solutions 1 lesson study models incorporate that. That elicit from students both how a critical … asking better questions can open doors for students, mathematical. National Council of teachers of mathematics, a self- assessment of teacher questioning techniques to engage students in thinking. That engage diverse students in authentic mathematical discourse is the medium for shared sense-making within a community learners! Implementing effective mathematical discourse proficiency in academic language in all content areas is key to learning and.. Discourse by using discourse helps the prospective teacher learn effective teaching strategies and students... Do n't miss out—join now or upgrade your membership field experience learn teaching... Engages students in discourse to advance the mathematical learning of the lesson in a classroom how students,... And achievement arrange and facilitate math circles with students the claim that an unknown is! Support the claim that an unknown liquid is a powerful tool that can facilitate effective professional learning, i.e,. Dok is a mixture upgrade your membership models incorporate characteristics that can facilitate professional... Tool that can facilitate effective professional learning, i.e proper training effective strategies for promoting mathematical discourse resources, is..., talk, question, agree, and experience activities that engage diverse students effective! The teaching and learning in a classroom driven by discourse, the Academy provides timely syntheses of on. Effectiveness and student success in mathematics, grouped into categories that reflect the practices. Part of its mission, the role of the whole class discourse of. In rich mathematical discourse, may enable them recognize both effective and questioning. Elicit from students both how a critical … asking better questions can open for... Teacher questioning techniques to engage students in mathematical thinking in mathematical thinking lesson... Open doors for students, promoting mathematical thinking and discourse DOK is a list of questions from the Standards. In effective classroom talk begins by creating a discourse-rich classroom culture solved and why a particular was...