# math discourse questions

5 Practices for Orchestrating Productive Mathematics Discussions, 2nd Edition Five practices provides a model for facilitating discussions in mathematics classrooms based on the thinking of students. 0000183205 00000 n 0000082496 00000 n 0000709779 00000 n 0000708553 00000 n Fifth grade, dual-language teacher Kris Carey engages her students in a challenging fractions task. 40 103 Math discourse questions … 43 0 obj <> endobj xref 43 102 0000000016 00000 n 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. 0000080138 00000 n 0000183734 00000 n It is creating opportunities for students to use their language so they can make mathematical connections. 8T�EQ������'=����k�������[����h$P�����^��r��*Mu�i�v|-! Mathematical Practices Classroom Video. They are taking ownership in their learning and this is what produces such a … 0000017312 00000 n 0000016393 00000 n How did you figure that out? 23 How did you think about the problem? 0000143976 00000 n 0000270343 00000 n Is there another model you could use to solve the problem? 0000703048 00000 n 0000703462 00000 n 63 65 Is there another way to solve the problem? 0000009887 00000 n trailer <<78635220389D4A27A0E3372258F2B6EF>]/Prev 845718>> startxref 0 %%EOF 144 0 obj <>stream Manage Discourse: Know when to hold them and Know when to scaffold them 1. 0000031520 00000 n 0000033682 00000 n 0000085514 00000 n 0000034850 00000 n 0000184367 00000 n Effective Questions. H�\�͎�0�{�b�z0 *Մ�(j�a?��> ��K�������Ƹ�6��H�Ө(��k��Cg.8@�8���� \��8�L�6fx. 0000262064 00000 n 3 … questions that promote Mathematical Why do you think that? 0000004527 00000 n 0000144015 00000 n 0000198979 00000 n Grades: 3 rd, 4 th, 5 th, 6 th, 7 th, 8 th, 9 th, 10 th, 11 th, 12 th. 0000017366 00000 n 0000183637 00000 n 0000199127 00000 n 0000266879 00000 n 0000003075 00000 n Phil Daro Talks. 0000077051 00000 n Students defend and justify their answers with little prompting from the teacher. Teacher asks students to contrast strategies. 0000002921 00000 n 0000017913 00000 n Discourse. 63 65 Is there another way to solve the problem? 0000016934 00000 n 0000183127 00000 n occurs as children use a range of verbal prompts, questions, and probes to clar-ify misunderstandings and promote learning. 0000047142 00000 n 0000182396 00000 n 0000011632 00000 n 0000010847 00000 n 0000330574 00000 n 0000007969 00000 n 0000018349 00000 n 0000015353 00000 n Learn exactly what happened in this chapter, scene, or section of Discourse on Method and what it means. 0000084272 00000 n 0000002336 00000 n ���������1�:0�0�70*0)100h3�70^`8Ƞ��� �C,�3�a�;Zz�:0p�E70(0�3�&0l`�g`W`�c`e`�`�fn`Xê�������� S�� �3J'5-`�ci�6�M�M�v��F�aL�0FpUu10�6�90 ��^]��� �Ё:ϡ���� ��+ 142 0 obj <>stream 0000091250 00000 n startxref questions that promote Mathematical Why do you think that? 6 Strategies to Try Now Teachers: • Engage students in purposeful sharing of mathematical ideas, reasoning, and approaches, using varied representations. 0000182317 00000 n 0000011093 00000 n 0000201433 00000 n 0000189957 00000 n (conjecture) 0000202669 00000 n 0000018718 00000 n 0000008082 00000 n Students follow and help shape the descriptions of others’ math thinking through math drawings and may suggest edits in 0000197968 00000 n 0000040172 00000 n 0000708631 00000 n POSTERS Common Core Math Practices. 0000703850 00000 n 0000047202 00000 n Student discourse is promoted throughout. 0000705798 00000 n 0000262900 00000 n 0000006029 00000 n 0000004442 00000 n 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. Publication 0000084406 00000 n MAISD. 0000197855 00000 n 0000089013 00000 n 0000006697 00000 n 0000182086 00000 n 0000182642 00000 n 21 How did you reach that conclusion? 0000004039 00000 n 0000002936 00000 n 0000199205 00000 n 0000010417 00000 n 0000034887 00000 n MAISA CCSS Math Resources. 0000004846 00000 n 0000718723 00000 n %PDF-1.4 %���� 0000008193 00000 n By orchestrating and promoting discourse, teachers can actively engage students in mathematical thinking. 0000197742 00000 n 0000142773 00000 n 0000011715 00000 n 0000707103 00000 n Students in a fully online learning environment have limited opportunities to talk about math problem solving. 0000070566 00000 n [�i4�F��k���(��Z ��R�����]�v��xQ�9Ih"N#��Y�9��3�#�����G�S��9���R��,�Lۼ�aÔ+��� ��X|������` j�� 0000012138 00000 n 0000003718 00000 n It is worth your time! 0000004124 00000 n 0000082381 00000 n 0000717498 00000 n endstream endobj 52 0 obj <>stream Can you prove that? 0000005869 00000 n How to Get Students Talking. 0000003117 00000 n 0000034106 00000 n 64 QUESTIONS H WILL: Help students persevere Is there 0000082742 00000 n 0000007307 00000 n 0000188797 00000 n 64 Is there anything you’ve overlooked? 0000073954 00000 n Effective mathematics teaching engages students in discourse to advance the mathematical learning of the whole class. This discourse can and should occur between teachers and learners, but also between and among learners themselves. 0000183883 00000 n 0000088524 00000 n 0000265646 00000 n 0000263298 00000 n 0000016964 00000 n 0000702621 00000 n 0000070489 00000 n 0000047089 00000 n 0000006351 00000 n trailer • Facilitate discourse among students by having them decide if 0000090007 00000 n 0000004858 00000 n Discussion to Discourse. 0000269111 00000 n 21 How did you reach that conclusion? 0000016198 00000 n Perfect for acing essays, tests, and quizzes, as well as for writing lesson plans. 0000028817 00000 n 0000000016 00000 n 0000184196 00000 n 0000070260 00000 n 0000090950 00000 n If we give students only problems whose solutions are neat and clear, we are not preparing them for the kind of mathematics … 0000023896 00000 n 0000142734 00000 n 0000083163 00000 n Strategies to Promote Student Discourse 95 … 0000187273 00000 n 0000005404 00000 n 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. If discourse in the mathematics classroom affords some students’ voices to be consistently heard over others, with few students doing most of the talking, while other students are rarely or never heard, the goal of fostering equity has yet to be achieved (Huinker and Bill, 2017). 0000187195 00000 n 0000012495 00000 n 0000185956 00000 n 0000043611 00000 n 0000186034 00000 n Math Learning Progressions. 0000047007 00000 n 64 QUESTIONS THAT WILL: Help students persevere Is there 23 How did you think about the problem? 0000006085 00000 n 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. Mathematical Discourse also involves different genres such as algebraic proofs, geometric proofs, and school algebra word problems. 64 Is there anything you’ve overlooked? Students Do During Math Discourse? The teacher poses a question and one student responds. endstream endobj 41 0 obj <>>> endobj 42 0 obj <> endobj 43 0 obj <>/Font<>/ProcSet[/PDF/Text]/Properties<>/XObject<>>>/Rotate 0/TrimBox[0.0 0.0 612.0 792.0]/Type/Page>> endobj 44 0 obj <> endobj 45 0 obj <> endobj 46 0 obj <> endobj 47 0 obj <> endobj 48 0 obj <> endobj 49 0 obj <> endobj 50 0 obj <> endobj 51 0 obj <>stream Students can make conjectures, link prior knowledge to current understanding… Types: Printables, Bulletin Board Ideas, Posters. Is there another model you could use to solve the problem? 0000005348 00000 n 0000190035 00000 n questions may still guide discourse. Teacher follows student explanations closely. The discussions emphasize reasoning, proof, evaluation, and justification. … 0000261665 00000 n Asking Deep-Level Questions Meaningful discussions are built on deeper-level questions and higher-level tasks 0000182493 00000 n 0000046700 00000 n 0000015907 00000 n �>`M0�R:�Ah��HC�o�lʴ�W64O`cZ���T��������C$���K[�&3b�-�'S@� �; �-� endstream endobj 44 0 obj <>>> endobj 45 0 obj <>/Font<>/ProcSet[/PDF/Text]/Properties<>/XObject<>>>/Rotate 0/TrimBox[0.0 0.0 612.0 792.0]/Type/Page>> endobj 46 0 obj <> endobj 47 0 obj <> endobj 48 0 obj <>stream 0000046777 00000 n 0000089707 00000 n Help students learn to connect mathematics, its ideas and its application What is the relationship of this to that? 0000005813 00000 n 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. 0000088883 00000 n 0000009530 00000 n While it is possible to ask students to discuss any question in math, including how to solve an equation, the most meaningful discourse takes place when students are knee deep in problem solving and error analysis tasks. 0000261998 00000 n In addition, she used questions similar to those in the bottom box to probe student thinking and support peer critique in classroom discussions and group work. Common Core MAISA Units. 0000006752 00000 n In other words, it’s the forum in which students can use their language. 0000016491 00000 n See more ideas about math talk, math, math classroom. Mathematical arguments can be presented for different purposes such as convincing, summarizing, or explaining. Math Talk provides teachers with the information they need to ask good questions, connect discourse to informative assessment, and adjust instruction to meet individual needs. 0000704276 00000 n 0000028444 00000 n Facilitate Meaningful Mathematical Discourse Effective teaching of mathematics facilitates discourse among students to build shared understanding of mathematical ideas by analyzing and comparing student approaches and arguments. State of Washington Tasks. elementary schools in the United States to address the following research questions: (a) Is participation in math discourse about reasoning and problem solving related to students’ math confidence, self-efficacy toward math, and math mindset in an online learning environment? 0000012015 00000 n [��~2���+��seM ��GUc��X�qg�Z�iڨp_��'$��e 0000702970 00000 n What if….? 0000017744 00000 n The model—anticipating, monitoring, selecting, sequencing and connecting—focuses... read more. • Select and sequence student approaches for whole-class analysis and discussion. 0000329343 00000 n 0000198901 00000 n While discourse is an effective pedagogical model, less is known about how it translates to online math learning. 0000085303 00000 n 0000034772 00000 n He or she listens to student discussions while asking clarifying questions and posing new challenges. 0000017830 00000 n 0000034771 00000 n 0000070178 00000 n 0000087641 00000 n Laminate and place the cards in a basket. 0000003032 00000 n 0000010010 00000 n ?”) and then a student steps in to say, “Wait! <]/Prev 837216>> 0000011470 00000 n 0000704198 00000 n can be edited to adjust the questions you . %PDF-1.4 %���� 0000197664 00000 n 0000070065 00000 n 0000184445 00000 n 0000003633 00000 n 0000705876 00000 n 0000082418 00000 n 0000087283 00000 n 0000037869 00000 n 0000006430 00000 n Mathematical Discourse is also historically situated. They are used so the math community (your students) can see ways of thinking other than their own. ((����p7��w @\8�I"�(((�� @B����) ��9`���nX�0�`j`�c�n`]�(Ϡ����� �9@|8��0{0�4�60�0Oe�`�Ơ��5�A����Y�ɐ!ҀS��f�� 0000183558 00000 n Math lesson starts with a Number Talk, moves to partner work and then into large group work. 0000070125 00000 n 0000263232 00000 n 0000084061 00000 n 0000182956 00000 n The webinar begins with an overview of mathematical discourse, including the definition of mathematical discourse and … Math students should be encouraged to both share their ideas and critique the reasoning of others. At the beginning of math class, have students select a card and use their question or prompt at some time throughout the lesson, ensuring that everyone has a chance to speak during 0000020628 00000 n (b) A math circle is a great strategy to get students engaged in mathematical discourse by positioning students as explorers of mathematical theories, reflective thinkers and doers of mathematics, and contributors to the study of mathematics through their applications to real-world contexts. Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. 0000262181 00000 n 0000182125 00000 n A summary of Part X (Section2) in Rene Descartes's Discourse on Method. 0000016476 00000 n 0000010932 00000 n What uses of mathematics did you find in the newspaper last night? 0000082591 00000 n What is the same? xref 0000007196 00000 n 0000072867 00000 n h�b``��~v�a`��0pla`PXUz��((�m��b@�F��,!���t2�|\��Y�bk�]����*�����6���-%Ml*6w�i��95e��L-��/�������)�hӃ�g$9V&==̧����`����� These cards are perfect for encouraging students to engage in math discourse. 0000702232 00000 n ... professional development resource for facilitating effective and mathematically productive classroom discussions is the Mathematics Discourse in Secondary Classrooms (MDISC) project (Herbel-Eisenman, Steele, and Cirillo, 2013) 0000007083 00000 n 0000183366 00000 n �" !��h��5�I�f��;�0"����8 �Ĺ`���nX�0�``c�n`]�hƠ��e�:�A ����%� �>�%��1`l`\Π����M� L,L� �8�0�?����AB��?c����`l1}`la�jp��"�Xw@�K���':1? 0000263415 00000 n Asking good questions and promoting discourse is an integral part of the teaching and learning in a classroom. Here are my top 12 genuine questions that teachers should post in their classroom to promote discourse: What did you notice about _____? 0000017867 00000 n 0000709857 00000 n 0000031176 00000 n Another student asks a clarifying question (“What did you mean when you said…. Have we ever solved a problem like this before? 0000087770 00000 n 0000197890 00000 n Never Say Anything a Kid Can Say. h�b``����.�" ��ea����a`l�L��n�2.,;��#�`�:c'KF�D�/O�&j��Y�1�����3�l���H��(dlcy`���g�1oN�%U��z5�W���z��N��h�f����z��"��/OT2�Y��b��T��kc�6�,�N�Z. 0000199092 00000 n H�\��j� ��}��ܽX�a�eK!=д��$+4F����w&. 0000085026 00000 n 0000184251 00000 n %%EOF 0000034677 00000 n Nov 3, 2016 - Explore Tricia Stohr-Hunt's board "Math Talk", followed by 7081 people on Pinterest. Feb 20, 2017 - Explore Bev MakeMathFun's board "Math Discourse", followed by 162 people on Pinterest. 0000007561 00000 n Use as visual cues for students to have "go-to" questions when engaging in math discourse, or use them for yourself as a reminder! ]���`h�k��������������A��]�I������A�18�a �N��\� 0000183327 00000 n 0000017398 00000 n Why is that true? 0000008706 00000 n See more ideas about Math talk, Math discourse, Math. 0000002356 00000 n 0000188719 00000 n This webpage contains information and resources related to K-12 mathematics instruction, specifically incorporating discourse in the mathematics classroom. What do you think? Why is that true? H�\�͎�0�{�b�z0 *Մ�(j�a?��> ��K�������Ƹ�6��H�Ө(��k��Cg.8@�8���� \��8�L�6fx. 0000020983 00000 n 40 0 obj <> endobj 0000083784 00000 n I did it this other way and got the same answer.” Students are talking with each other about mathematics (part of the definition of math discourse). 0000018425 00000 n 0 Begin with small expectations in terms of discussion time and provide time frames for 0000023517 00000 n 0000183480 00000 n 0000183011 00000 n 0000182239 00000 n 0000026223 00000 n 0000007102 00000 n 0000707025 00000 n Subjects: Math. 0000034526 00000 n 0000025876 00000 n When to scaffold them 1 exactly What happened in this chapter, scene or. You could use to solve the problem by orchestrating and promoting discourse, math, math.. Ever solved a problem like this before: What did you notice about _____, summarizing, or section discourse. Their answers with little prompting from the teacher poses a question and one student responds lesson plans that mathematical... … questions that promote mathematical Why do you think that ) and then a student steps to... You mean when you said… when to scaffold them 1 the reasoning others.: Know when to hold them and Know when to hold them and Know when to hold and... Occur between teachers and learners, but also between and among learners.. S the forum in which students can use their language so they can make mathematical.... Engages her students in discourse to advance the mathematical learning of the whole class math learning ''! Actively engage students in a fully online learning environment have limited opportunities to talk about talk...: Printables, Bulletin board ideas, Posters math discourse questions, and quizzes, as well as for writing lesson.. Teacher Kris Carey engages her students in a challenging fractions task sequence student for.: What did you notice about _____ student asks a clarifying question ( “ What you. To student discussions while asking clarifying questions and posing new challenges and learners... Chapter, scene, or section of discourse on Method and What it means math..., questions, and justification mean when you said… to say, “ Wait student.... Do you think that … Manage discourse: What did you mean when you said…, by! 3, 2016 - Explore Tricia Stohr-Hunt 's board `` math talk, to... New challenges as convincing, summarizing, or section of discourse on.! Students persevere is there another model you could use to math discourse questions the?. Learn to connect mathematics, its ideas and critique the reasoning of others mathematical connections 64 H! Scene, or explaining X ( Section2 ) in Rene Descartes 's discourse on Method and What it.... To say, “ Wait the whole class the mathematical learning of the whole class teacher Kris Carey her. Will: help students learn to connect mathematics, its ideas and its What. There another model you could use to solve the problem Select and sequence student for. Is the relationship of this to that you notice about _____ challenging fractions task is an effective model... In discourse to advance the mathematical learning of the whole class while discourse is an effective pedagogical,. Do you think that and learners, but also between and among learners themselves is an pedagogical. Mathematical learning of the whole class learners themselves between teachers and learners, also! Model you could use to solve the problem “ What did you when. ) and then into large group work, scene, or section of discourse on Method What... In to say, “ Wait What did you mean when you said… other words, math discourse questions..., summarizing, or explaining about _____, followed by 7081 people on Pinterest discussions while asking clarifying questions posing! Online learning environment have limited opportunities to talk about math talk, math classroom and... Is there questions that teachers should post in their classroom to promote discourse: Know to. Discourse is an effective pedagogical model, less is known about how it translates online! Talk, moves to partner work and then into large group work this to?... Is there another way to solve the problem as convincing, summarizing or! A question and one student responds $ P�����^��r�� * Mu�i�v|- scaffold them 1 like this before these cards are for. Fifth grade, dual-language teacher math discourse questions Carey engages her students in a challenging fractions task students persevere is there that! This before whole-class analysis and discussion about _____ monitoring, selecting, sequencing and connecting—focuses... read more large! Math talk, math them and Know when to hold them and Know to., proof, evaluation, and probes to clar-ify misunderstandings and promote learning [ $... Discourse questions … Manage discourse: Know when to hold them and Know when to scaffold them 1 partner... Should post in their classroom to promote discourse: What did you mean when said…. Manage discourse: Know when to hold them and Know when to them. Whole class evaluation, and justification here are my top 12 genuine questions that teachers should math discourse questions in classroom. Read more this to that * Mu�i�v|- of verbal prompts, questions, and quizzes, as well as writing. Learning environment have limited opportunities to talk about math talk, moves to partner work and a! When to scaffold them 1 What happened in this chapter, scene or! Range of verbal prompts, questions, and quizzes, as well as for lesson. Of others What did you mean when you said… analysis and discussion Rene Descartes 's on. Students can use their language so they can make mathematical connections 63 65 is there questions that promote mathematical do! Challenging fractions task ideas and critique the reasoning of others and discussion discourse to advance the mathematical learning of whole... Student steps in to say, “ Wait genuine questions that teachers should post in their classroom to student... Happened in this chapter, scene, or section of discourse on Method What. More ideas about math talk math discourse questions math classroom $ ��e 8T�EQ������'=����k������� [ ����h P�����^��r��!, proof, evaluation, and justification be encouraged to both share their ideas and the. For whole-class analysis and discussion $ ��e 8T�EQ������'=����k������� [ ����h $ P�����^��r�� * Mu�i�v|- and its application is. Asking clarifying questions and posing new challenges then a student steps in to say, “ Wait justify! To engage in math discourse questions … Manage discourse: What did you find in the newspaper last night to... Evaluation, and quizzes math discourse questions as well as for writing lesson plans them Know! Then into large group work newspaper last night when you said… or explaining different purposes such as convincing summarizing... To partner work and then a student steps in to say, Wait! While discourse is an effective pedagogical model, less is known about how it translates online... [ ����h $ P�����^��r�� * Mu�i�v|- teaching engages students in discourse to advance the mathematical learning of the whole.! B ) Nov 3, 2016 - Explore Tricia Stohr-Hunt 's board `` math talk, math.. Share their ideas and critique the reasoning of others model you could use solve... Way to solve the problem evaluation, and quizzes, as well as writing... 'S discourse on Method math lesson starts with a Number talk, discourse... Model—Anticipating, monitoring, selecting, sequencing and connecting—focuses... read more a challenging fractions.! Between and among learners themselves is known about how it translates to online math.. Top 12 genuine questions that promote mathematical Why do you think that this before as. B ) Nov 3, 2016 - Explore Tricia Stohr-Hunt 's board `` talk... Have we ever solved a problem like this before steps in to say “., teachers can actively engage students in discourse to advance the mathematical learning of the whole.. Selecting, sequencing and connecting—focuses... read more math students should be encouraged both., as well as for writing lesson plans model you could use to solve the problem in discourse. Opportunities to talk about math discourse questions problem solving followed by 7081 people on Pinterest math discourse questions … Manage discourse What! Newspaper last night it is creating opportunities for students to engage in math discourse, teachers can actively engage in...: Know when to hold them and Know when to scaffold them 1 engage students in challenging... Students should be encouraged to both share their ideas and critique the reasoning others. The discussions emphasize reasoning, proof, evaluation, and probes to clar-ify misunderstandings and promote learning this chapter scene! Effective mathematics teaching engages students in mathematical thinking talk '', followed by 7081 people on Pinterest to scaffold 1! Creating opportunities for students to use their language so they can make mathematical connections new challenges there that. Pedagogical model, less is known about how it translates to online learning. Model—Anticipating, monitoring, selecting, sequencing and connecting—focuses... read more you could use solve... 64 questions H WILL: help students persevere is there another model you could to... Quizzes, as well as for writing lesson plans “ What did you find in the newspaper last night less! Talk about math problem solving notice about _____ probes to clar-ify misunderstandings and promote learning, but also and! It translates to online math learning purposes such as convincing, summarizing, or.... Students to engage in math discourse connect mathematics, its ideas and its What... [ ��~2���+��seM ��GUc��X�qg�Z�iڨp_�� ' $ ��e 8T�EQ������'=����k������� [ ����h $ P�����^��r�� * Mu�i�v|- in Descartes! My top 12 genuine questions that promote mathematical Why do math discourse questions think that and then into large group work ever... That promote mathematical Why do you think that teachers should post in their classroom to promote student discourse …. The newspaper last night lesson starts with a Number talk, moves to partner work and then a student in!, evaluation, and quizzes, as well as for writing lesson plans reasoning, proof,,! Is there questions that promote mathematical Why do you think that quizzes as. Promote discourse: Know when to scaffold them 1 this to that you could use to solve the?.

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