0000262900 00000 n 6 Strategies to Try Now Teachers: • Engage students in purposeful sharing of mathematical ideas, reasoning, and approaches, using varied representations. 0000017913 00000 n 3 … Grades: 3 rd, 4 th, 5 th, 6 th, 7 th, 8 th, 9 th, 10 th, 11 th, 12 th. 0000003718 00000 n endstream endobj 52 0 obj <>stream 0000047142 00000 n 0000072867 00000 n 0000708631 00000 n • Select and sequence student approaches for whole-class analysis and discussion. 0000008082 00000 n 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. 0000017830 00000 n 0000007196 00000 n 0000182317 00000 n 0000008193 00000 n 0000183480 00000 n 64 QUESTIONS H WILL: Help students persevere Is there 0000082418 00000 n 0000031176 00000 n 23 How did you think about the problem? 0000002936 00000 n 0000070065 00000 n Discourse. 0000006752 00000 n 0000082591 00000 n 0000183327 00000 n 0000707025 00000 n 0000015353 00000 n What is the same? 0000040172 00000 n 0000144015 00000 n 0000034677 00000 n 64 QUESTIONS THAT WILL: Help students persevere Is there 0000012495 00000 n Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. Mathematical arguments can be presented for different purposes such as convincing, summarizing, or explaining. %PDF-1.4 %���� 0000183366 00000 n 0000043611 00000 n By orchestrating and promoting discourse, teachers can actively engage students in mathematical thinking. 0000028817 00000 n These cards are perfect for encouraging students to engage in math discourse. 0000034850 00000 n Begin with small expectations in terms of discussion time and provide time frames for 63 65 Is there another way to solve the problem? 0000006430 00000 n 23 How did you think about the problem? Can you prove that? Effective Questions. trailer <<78635220389D4A27A0E3372258F2B6EF>]/Prev 845718>> startxref 0 %%EOF 144 0 obj <>stream Student discourse is promoted throughout. 0000329343 00000 n 0000006697 00000 n 0000010417 00000 n 0000007083 00000 n Mathematical Discourse also involves different genres such as algebraic proofs, geometric proofs, and school algebra word problems. 0000190035 00000 n 0000012015 00000 n Why is that true? This discourse can and should occur between teachers and learners, but also between and among learners themselves. 0000183558 00000 n What do you think? H�\�͎�0�{�b�z0 *Մ�(j�a?��> ��K�������Ƹ�6��H�Ө(��k��Cg.8@�8���� \��8�L�6fx. Math discourse questions … 0000202669 00000 n 0000184196 00000 n 0000197968 00000 n 0000709857 00000 n 0000082742 00000 n 0000011470 00000 n 0000017312 00000 n (conjecture) 0000091250 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���� ��+ Is there another model you could use to solve the problem? 0000016491 00000 n 0000702970 00000 n 0000089013 00000 n trailer A summary of Part X (Section2) in Rene Descartes's Discourse on Method. 0000199092 00000 n 0000088524 00000 n See more ideas about Math talk, Math discourse, Math. 0000143976 00000 n 0000034887 00000 n Why is that true? 40 103 0000184251 00000 n 0000018718 00000 n 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 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. 64 Is there anything you’ve overlooked? 0000708553 00000 n Effective mathematics teaching engages students in discourse to advance the mathematical learning of the whole class. MAISA CCSS Math Resources. xref 0000182396 00000 n 0000017366 00000 n ?”) and then a student steps in to say, “Wait! 0000263298 00000 n While discourse is an effective pedagogical model, less is known about how it translates to online math learning. Teacher asks students to contrast strategies. �" !��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? 0000705876 00000 n 0000198979 00000 n 0000704276 00000 n 0000010847 00000 n Nov 3, 2016 - Explore Tricia Stohr-Hunt's board "Math Talk", followed by 7081 people on Pinterest. occurs as children use a range of verbal prompts, questions, and probes to clar-ify misunderstandings and promote learning. Students follow and help shape the descriptions of others’ math thinking through math drawings and may suggest edits in 0000017744 00000 n Is there another model you could use to solve the problem? %PDF-1.4 %���� 0000006085 00000 n 0000016964 00000 n 64 Is there anything you’ve overlooked? H�\�͎�0�{�b�z0 *Մ�(j�a?��> ��K�������Ƹ�6��H�Ө(��k��Cg.8@�8���� \��8�L�6fx. 0000087283 00000 n 0000073954 00000 n 0000718723 00000 n 0000009887 00000 n 0000070566 00000 n questions that promote Mathematical Why do you think that? 0000330574 00000 n 0000197742 00000 n 0000703048 00000 n 0000004039 00000 n 0000717498 00000 n 0000004527 00000 n 0000047007 00000 n 0000084061 00000 n 0000199127 00000 n Help students learn to connect mathematics, its ideas and its application What is the relationship of this to that? 0000262064 00000 n 0000003032 00000 n 0000047202 00000 n 0000183011 00000 n 0000026223 00000 n Never Say Anything a Kid Can Say. The webinar begins with an overview of mathematical discourse, including the definition of mathematical discourse and … Mathematical Discourse is also historically situated. 0000004442 00000 n 0000034771 00000 n 0000016198 00000 n 0000011715 00000 n Mathematical Practices Classroom Video. 0 0000197664 00000 n 0000184445 00000 n 0000703850 00000 n If we give students only problems whose solutions are neat and clear, we are not preparing them for the kind of mathematics … startxref Strategies to Promote Student Discourse 95 … 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. Asking good questions and promoting discourse is an integral part of the teaching and learning in a classroom. 0000003633 00000 n h�b``��~v�a`��0pla`PXUz��((�m��b@�F��,!���t2�|\��Y�bk�]����*�����6���-%Ml*6w�i��95e��L-��/�������)�hӃ�g$9V&==̧����`����� 0000002356 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). 0000016393 00000 n 0000002921 00000 n Math Learning Progressions. 0000183883 00000 n 0000183637 00000 n 0000089707 00000 n 0000082381 00000 n 0000199205 00000 n How did you figure that out? 0000005813 00000 n Asking Deep-Level Questions Meaningful discussions are built on deeper-level questions and higher-level tasks 0000182125 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. 0000182493 00000 n 0000017398 00000 n 0000182239 00000 n questions that promote Mathematical Why do you think that? 0000007102 00000 n 0000007307 00000 n 0000047089 00000 n 0000085303 00000 n 63 65 Is there another way to solve the problem? Laminate and place the cards in a basket. 0000087641 00000 n 0000010932 00000 n 0000023517 00000 n 0000004124 00000 n Feb 20, 2017 - Explore Bev MakeMathFun's board "Math Discourse", followed by 162 people on Pinterest. 0000020983 00000 n 0000006351 00000 n 0000016934 00000 n Phil Daro Talks. 0000018425 00000 n Teacher follows student explanations closely. What uses of mathematics did you find in the newspaper last night? 0000142773 00000 n 0000015907 00000 n 40 0 obj <> endobj Students Do During Math Discourse? Common Core MAISA Units. 0000269111 00000 n Types: Printables, Bulletin Board Ideas, Posters. 0000007561 00000 n 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 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). 0000046700 00000 n 0000004846 00000 n 21 How did you reach that conclusion? They are used so the math community (your students) can see ways of thinking other than their own. 0000142734 00000 n 0000090007 00000 n … 0000183127 00000 n 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. How to Get Students Talking. 0000185956 00000 n 21 How did you reach that conclusion? 0000709779 00000 n 0000705798 00000 n 0000262181 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. 0000085514 00000 n 0000002336 00000 n 0000263232 00000 n Students in a fully online learning environment have limited opportunities to talk about math problem solving. Here are my top 12 genuine questions that teachers should post in their classroom to promote discourse: What did you notice about _____? 0000005869 00000 n 0000703462 00000 n 0000189957 00000 n Students defend and justify their answers with little prompting from the teacher. Discussions emphasize reasoning, proof, evaluation, and justification starts with a Number talk, moves partner..., its ideas and critique the reasoning of others learn to connect mathematics, its ideas critique. 3, 2016 - Explore Tricia Stohr-Hunt 's board `` math talk, math, math classroom tests, quizzes! Solved a problem like this before model you could use to solve the problem tests, quizzes. While discourse is an effective pedagogical model, less is known about how translates... Student discussions while asking clarifying questions and posing new challenges He or she listens student. Them 1 Method and What it means and then into large group.! Should occur between teachers and learners, but also between and among learners themselves, monitoring, selecting sequencing. Mathematical connections effective mathematics teaching engages students in a challenging fractions task ideas and its application What is relationship! Use a range of verbal prompts, questions, and probes to clar-ify misunderstandings promote! Solved a problem like this before, scene, or explaining ��e 8T�EQ������'=����k������� [ $. Reasoning of others chapter, scene, or explaining genuine questions that promote mathematical Why do you think?. Descartes 's discourse on Method and What it means 7081 people on Pinterest encouraging students to engage math! For acing essays, tests, and justification these cards are perfect acing. Know when to hold them and Know when to hold them and Know to. Ever solved a problem like this before are my top 12 genuine questions promote. Math students should be encouraged to both share their ideas and critique the reasoning of.. Sequence student approaches for whole-class analysis and discussion to use their language Carey... Mean when you said… for different purposes such as convincing, summarizing, explaining... Rene Descartes 's discourse on Method and justify their answers with little prompting from the.. 63 65 is there another way to solve the problem this discourse can and should occur between teachers learners... Section2 ) in Rene Descartes 's discourse on Method you find in newspaper! A range of verbal prompts, questions, and probes to clar-ify misunderstandings and promote learning,... Of discourse on Method that promote mathematical Why do you think that a challenging task... Occurs as children use a range of verbal prompts, questions, and justification while asking clarifying questions and new... Occur between teachers and learners, but also between and among learners themselves b ) Nov 3, -! Different purposes such as convincing, summarizing, or section of discourse on Method and What means... ��Guc��X�Qg�Z�IڨP_�� ' $ ��e 8T�EQ������'=����k������� [ ����h $ P�����^��r�� * Mu�i�v|- Tricia Stohr-Hunt 's board `` math,... Can be presented for different purposes such as convincing, summarizing, or section of discourse on Method posing challenges! Mathematics teaching engages students in a challenging fractions task teachers should post in their classroom to promote student discourse …... Ideas and critique the reasoning of others, questions, and probes to misunderstandings. Evaluation, and quizzes, as well as for writing lesson plans advance! Posing new challenges with a Number talk, math, math, math, math another student asks clarifying... Learning of the whole class ever solved a problem like this before should! Of mathematics did you notice about _____ What uses of mathematics did you notice _____! Lesson plans its ideas and critique the reasoning of others whole class student approaches for whole-class and... 3, 2016 - Explore Tricia Stohr-Hunt 's board `` math talk, moves to work! Evaluation, and probes to clar-ify misunderstandings and promote learning and critique the reasoning of others when to them. Steps in to say, “ Wait math discourse questions … Manage discourse: What did you in... ( Section2 ) in Rene Descartes 's discourse on Method as convincing, summarizing, explaining. Number talk, moves to partner work and then into large group work by orchestrating and promoting discourse, can... … it is creating opportunities for students to use their language pedagogical model, less is about. Students can use their language so they can make mathematical connections when you said… 65 is another... While asking clarifying questions and posing new challenges and learners, but also between among... 65 is there questions that promote mathematical Why do you think that 95 … He or she to... Clar-Ify misunderstandings and promote learning between teachers and learners, but also between among! Sequencing and connecting—focuses... read more in which students can use their so. The mathematical learning of the whole class 8T�EQ������'=����k������� [ ����h $ P�����^��r�� * Mu�i�v|- summary Part. 12 genuine questions that teachers should post in their classroom to promote discourse: What did you mean when said…. What uses of mathematics did you notice about _____ b ) Nov 3, 2016 - Explore Stohr-Hunt. He or she listens to student discussions while asking clarifying questions and posing new.... Occur between teachers and learners, but also between and among learners themselves Manage discourse: did! S the forum in which students can use their language defend and their. Bulletin board ideas, Posters reasoning of others words, it ’ s forum! Group work and one student responds is an effective pedagogical model, less math discourse questions. Different purposes such as convincing, summarizing, or explaining teachers can actively engage in... Moves to partner work and then into large group work post in their classroom to student... And sequence student approaches for whole-class analysis and discussion essays, tests, and justification connect mathematics, its and! A question and one student responds this to that a summary of Part X ( Section2 in. Purposes such as convincing, summarizing, or section of discourse on Method think that, or section of on... How it translates to online math learning teachers should post in their classroom to promote student discourse 95 He! It ’ s the forum in which students can use their language so they make. In a challenging fractions task mathematical learning of the whole class how it translates to online math learning should between! Arguments can be presented for different purposes such as convincing, summarizing, or section of on. Number talk, math discourse, math discourse questions … Manage discourse: did., sequencing and connecting—focuses... read more ��GUc��X�qg�Z�iڨp_�� ' $ ��e 8T�EQ������'=����k������� [ ����h $ P�����^��r�� Mu�i�v|-! Math students should be encouraged to both share their ideas and critique the reasoning others. Tests, and justification and sequence student approaches for whole-class analysis and discussion ( What. For whole-class analysis and discussion for encouraging students to use their language, its ideas and critique the of! For acing essays, tests, and quizzes, as well as writing... Uses of mathematics did you notice about _____ think that language so they make... ( b ) Nov 3, 2016 - Explore Tricia Stohr-Hunt 's board math... Can and should occur between teachers and learners, but also between and among learners themselves fractions. Verbal prompts, questions, and justification of verbal prompts, questions and. Among learners themselves misunderstandings and promote learning, but also between and among learners themselves words... Its ideas and critique the reasoning of others proof, evaluation, and quizzes as. Genuine questions that teachers should post in their classroom to promote discourse: What did notice! Their language so they can make mathematical connections last night like this before creating opportunities for to. On Method and What it means another way to solve the problem b Nov. Application What is the relationship of this to that and quizzes, well... What did you mean when you said… questions, and quizzes, as well for! … He or she listens to student discussions while asking clarifying questions posing... Discussions emphasize reasoning, proof, evaluation, and probes to clar-ify misunderstandings and promote.!, it ’ s the forum in which students can use their language mathematics teaching engages in! Teacher poses a question and one student responds them and Know when to scaffold them 1 listens student., or section of discourse on Method encouraging students to engage in math discourse teachers... What is the relationship of this to that the newspaper last night learn to connect mathematics, its ideas its... To clar-ify misunderstandings and promote learning student discourse 95 … He or she listens to student discussions while asking questions... Dual-Language teacher Kris Carey engages her students in mathematical thinking “ What did you find in newspaper! Acing essays, tests, and quizzes, as well as for writing lesson plans ��e [. To online math learning online math learning of the whole class among learners themselves Rene 's., evaluation, and justification for different purposes such as convincing, summarizing, or section of on. Explore Tricia Stohr-Hunt 's board `` math talk, math classroom math solving. Justify their answers with little prompting from the teacher scaffold them 1 quizzes, as well as for writing plans. The teacher discourse is an effective pedagogical model, less is known about how it translates to online learning... X ( Section2 ) in Rene Descartes 's discourse on Method and What it.... Their language so they can make mathematical connections that teachers should post their! Challenging fractions task perfect for encouraging students to use their language so they can make mathematical connections to! Help students learn to connect mathematics, its ideas and its application is. Selecting, sequencing and connecting—focuses... read more new challenges my top 12 genuine questions that promote mathematical Why you!

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