For example, combining different shapes to come up with a new shape; making a small circle inside a triangle and vice versa in order to create a pattern. The inclination to see mathematics as sensible, useful, and worthwhile, to believe that steady effort in learning pays, and to see oneself as an effective learner and doer of mathematics. Page 2. Reproduced with permission of Just ASK Publications & Professional Development (Just ASK). Creating the right conditions for these discussions and facilitating conversations that emphasize a deep study of the mathematics is a challenging task. WebThe sample was 75 fifth grade students. When trying to instill a risk-taking, WebPRODUCTIVE DISPOSITION (5) Productive disposition is the inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one s own efficacy. Volume III, Issue IV, 2014. Productive disposition (PD) is the ability habitual inclination to see mathematics as sensible, useful and worthwhile coupled with a belief in diligence and ones own efficacy (p. Productive disposition requires teachers to realise and make sense of the connection between mathematics, their understanding of childrens thinking and their teaching practices. Petocz et al. Involves paying close attention to students mathematical thinking as they work on a problem. WebThe sample was 75 fifth grade students. To help teachers plan to use the Standards for Mathematical Practice, this link contains a summary of each practice, relevant questions to ask students in order to develop their mathematical thinking, and characteristics of what each practice looks like when being implemented. 2. www.achievethecore.org/dashboard/300/search/6/2/0/1/2/3/4/5/6/7/8/9/10/11/12/page/786/annotated-tasks Their definition is as follows: Productive disposition for teaching mathematics is mathematics teachers malleable orientation toward and concomitant beliefs, attitudes and emotions about their own professional growth, the subject of mathematics, and its teaching and learning that influences their own and their students successful mathematics learning. Sausalito, CA: Math Solutions, October 2011. << /Length 5 0 R /Filter /FlateDecode >> What are some differences? A productive disposition develops when the other strands do and helps each of them develop. WebProductive disposition math examples. (3) $2.50. What does _________ mean in terms of _________________ as it stated in the problem? Beginning the School Year with a Productive Disposition. :7w7g?NP~rn6og7$7`=<0r;&~2eEyLXgk!wsOgjdkO' uMLN/]:!8s.as;gFw CuzQ71}/sne_XR^(9V^$h1>mPV Deal with mathematic. WebBackground Productive disposition toward mathematics has been seen as the hidden or missing strand of mathematical proficiency (Siegfried, 2012), which involves the propensity to grasp logic in mathematics, to recognize it as mutually valuable and meaningful, to trust that firm determination in learning mathematics is rewarding, and to reflect WebPRODUCTIVE DISPOSITION is the inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one's own efficacy. WebStudent Questionaire with Math Dispositions Survey. Rather, students need to include some sort of visual representation, along with an explanation of how they solved the problem and why they chose to solve the problem in that way. Reasoning is an important aspect of positive mathematical disposition. In that book, there is a wonderful diagram of a rope with five interwoven strands representing components of mathematical proficiency: adaptive reasoning, strategic competence, conceptual understanding, procedural fluency and Two instruments namely: Mathematics Productive Disposition Scale (MPDS with a reliability coefficient of 0.88) and Mathematics Achievement Test (MAT (NRC, 2001, p. 116) (NRC, 2001, p. 116) Math Happenings Literature and Math Arts and Math Movie in Math Puzzles in Math Junior Architect Adaptive reasoning: Ability to find and work on logic embedded in mathematical operational procedures. One way to prepare is to draft all possible student strategies, prioritize how those will be shared with the class, and anticipate places where there may be flaws in students thinking or misconceptions. Webdiscussions to highlight productive disposition, the missing component of mathematical proficiency. Available at www.justaskpublications.com. Students need to be seated where they can see and hear the speaker, and they are expected to listen actively and be prepared to respond to the ideas of others. PDF. Significant Asset Sale means each Asset Sale which generates Net Sale Proceeds of at least $10,000,000. Anticipate the strategies students might use, how they will represent their thinking, and predict students misconceptions. Webpositive (productive) mathematical disposition, so that they trust in mathematical power and function to solve problems and for their future career progress (Cai, Robison, disposition on mathematics and skills to conduct mathematical observation and also to promote mathematics as a way of thinking (Richardson, Stein Schwartz, & Reynolds, Reasoning is an important aspect of positive mathematical disposition. WebExamples of productive disposition are as follows: 1. The following keys can help teachers ensure that the discourse in their mathematics classrooms is rich and extends the learning of students. The method used in this research was a quasi-experimental study. Persevering through multiple attempts to solve a problem. WebDeveloping a productive disposition requires frequent opportunities to make sense of mathematics, to recognize the benefits of perseverance, and to experience the rewards of sense making in mathematics. In order for students to be successful with constructing viable arguments and critiquing the reasonableness of answers, students need ample practice solving problems in a variety of ways and defending their thinking with others. Why or why not? --Agatha Christie. defined productive disposition as the habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and ones own efficacy (p. 26).Students with a productive disposition are motivated, confident about their knowledge and ability, see mathematics as sensible, and have a growth 2. Figure 1.5 Dominoes: A Common Game with Powerful Math Concepts Obtain a set of 28 dominoes, or print and cut out a set. Through creativity a learner is able to make opinions about mathematics and generate new problems. Final disposition means the burial, interment, cremation, removal from the state, or other disposition of a dead body or fetus. Web8 Elements of a Productive Mathematical Disposition 18d 8 Elements of a Productive Mathematical Disposition Don't Steal the Struggle! 6K95RO:GR1TD3b?-'tTugi0aNV3>r For example, suppose youre doing Quarter the Cross and John proved the house-shape Build in opportunities for independent work and partner or small group work. Each is discussed in more detail below. Above all, there is acceptance of all ideas and all contributions to the discussion are honored. Knowledge and productive disposition for teaching mathematics are theoretically intertwined to compose Mathematical Proficiency for Teaching (MPT; Jacobson 2013) , a worthwhile and multifaceted goal for teacher education . Selecting student response to Keys to Productive Discussions in the Math Classroom. Making the Common Core Come Alive! Involves paying close attention to students mathematical thinking as they work on a problem. Deal with mathematic. WebThis study through a quantitative research methodology investigated mathematics productive disposition as a correlate of senior secondary school students' achievement in mathematics in Nigeria. It is important for students to Productive disposition is the student's belief that he is capable of working towards becoming a successful mathematician and that learning math is useful. Building a culture of risk-taking, mistake-embracing, hard-working, respectful students who view themselves as mathematicians is no small feat. Keywords: Productive Disposition, Realistic Mathematics Education, Outdoor Approach. Undoubtedly, students will come up with strategies that the teacher has not predicted; however, teachers will be far more prepared to make sense of these approaches to problem solving when they have thought ahead about what students might bring to the experience. by. (NRC, 2001, p. 116) National Research Council. The latter response is a productive dispositiona can do attitude. Listen to the other person. WebPRODUCTIVE DISPOSITION is the inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one's own efficacy. Persevering through multiple attempts to solve a problem. Implementing Standards for Mathematical Practices. Ed. Keywords: Productive Disposition, Realistic Mathematics Education, Outdoor Approach. by S Haji 2019 Cited by 9 - The sample was 75 fifth grade students. Promote the development of all students dispositions to do mathematics. To determine what the math problem is, you will need to take a close look at the information given and use your problem-solving skills. When entering the discussion, the teacher should have in mind which strategies to emphasize and in which order. Students need to be taught how to agree and disagree and how to ask questions for clarification. For example, adding water to fill the glass to brim is productive disposition of a strategy (that is to fill). Productive disposition and strategic competence relate to emotion, as they deal with developing experience of identifying problem solutions and justifying conjectures. Strengthening Discussions. Teaching Children Mathematics. (NRC, 2001, p. 116) (NRC, 2001, p. 116) Math Happenings Literature and Math Arts and Math Movie in Math Puzzles in Math Junior Architect Examples of productive properties are connectedness, and path-connectedness, axioms T_0, T_1, T_2 and T_3, regularity and complete regularity, the property of being a Tychonoff space, but not axiom T_4 and normality, which does not In all these examples, you might start off just pretending to have those dispositions: pretending not to be frantic, pretending to be internally silent. Webccss college mathematics-teaching geometry community-of-math-teachers assessment elementary-teachers teacher-education calculus teaching-profession teaching-methods Welcome to The Mathematics Teaching Community, where you can post submissions and receive comments from other members of the community. Anticipate the strategies students might use, how they will represent their thinking, and predict students misconceptions. I suppose it is because nearly all children go to school nowadays, and have things arranged for them, that they seem so forlornly unable to produce their own ideas. Productive disposition in the MPT framework is defined as the set of affect-related constructs that have empirical Constructive Sale means, with respect to any security, a short sale or entering into or acquiring an offsetting derivative contract with respect to such security, entering into or acquiring a futures or forward contract to deliver such security or entering into any other hedging or other derivative transaction that has the effect of materially changing the economic benefits and risks of ownership of such security. Realistic Mathematics Education makes students being aware of the connections and uses of mathematics for everyday life. Permitted Disposal means any sale, lease, licence, transfer or other disposal: Involuntary Displacement means the involuntary acquisition of land resulting indirect or indirect economic and social impacts caused by: Loss of benefits from use of such land; relocation or loss of shelter; loss of assets or access to assets; or loss of income sources or means of livelihood, whether or not the Displaced Persons has moved to another location; or not. Keys for Preparing for the Discussion. Accessed at: www.louisianabelieves.com/docs/common-core-state-standards-resources/guideteacher-planning-for-math-practice-implementation.pdf?sfvrsn=2. For example, when faced with a challenge to common practice or to their current understandings or beliefs, well-prepared beginning The single most important thing teachers should do to ensure the success of discussions is to ask meaningful questions and facilitate the dialogue among students. For example, when faced with a challenge to common practice or to their current understandings or beliefs, well-prepared beginning Webccss college mathematics-teaching geometry community-of-math-teachers assessment elementary-teachers teacher-education calculus teaching-profession teaching-methods Welcome to The Mathematics Teaching Community, where you can post submissions and receive comments from other members of the community. WebThe findings showed that at average, the productive disposition of the Islamic Junior High School students were categorizing low. Establish a safe environment where students can take risks and where there are norms for classroom discussions. Involves paying close attention to students mathematical thinking as they work on a problem. Accessed at: www.mathsolutions.com/documents/qanda_usingmathtalk.pdf. The book I finished earlier this week is 5 Practices for Orchestrating Productive Mathematical Discussions by Margaret S. Smith and Mary Kay Stein and coming out of the National Council of Teachers of Mathematics (NCTM) in the USA. In addition to drawing on their knowledge of mathematical content, teachers must also bring to classroom discussions an understanding of their students prior knowledge and experiences. A correlational research design was implemented for the study in which three research questions were answered. 3. Web515-314-6243. order now. Phone: 703-535-5434 Fax: 703-535-8502, document.write(new Date().getFullYear()) Just ASK Publications & Professional Development. The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. The sample consisted of 1600 senior Using Mathematical Practices to Promote Productive Disposition. In all these examples, you might start off just pretending to have those dispositions: pretending not to be frantic, pretending to be internally silent. Web2. Taking time to write and solve a system of equations for a real-world application such as WebProductive disposition development is intended so that students can appreciate mathematics as a science needed for their lives. In other words, can you think of an example that would disprove an idea that has been presented? Improving learners productive disposition through realistic mathematics education, a teachers critical reflection of personal pedagogy. WebProductive disposition means a student who sees mathematics as useful and worthwhile while exercising a steady effort to learn mathematics. Realistic Mathematics Education makes students being aware of the connections and uses of mathematics for everyday life. ). 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The explicit teaching of how students are expected to respond and interact during a classroom discussion in mathematics is necessary. Involuntary Disposition means any loss of, damage to or destruction of, or any condemnation or other taking for public use of, any property of any Loan Party or any Subsidiary. Productive Assets means assets (including assets of a referent Person owned directly or indirectly through ownership of Capital Stock) of a kind used or useful in the Cable Related Business. Productive disposition in the MPT framework is defined as the set of affect-related constructs that have empirical WebWell-prepared beginning teachers of mathematics know that one's success in mathematics depends on a productive disposition toward the subject and on hard work (National Research Council [NRC], 2001a). Dispositional hearing means a hearing to determine the order of disposition which should be made with respect to a child adjudged to be a ward of the court; Excluded Asset Disposition means, with respect to any Consolidated Party, (i) the sale of inventory in the ordinary course of such Persons business, (ii) the sale or disposition of machinery, furniture, furnishings and equipment no longer used or useful in the conduct of such Persons business, (iii) any Equity Issuance by such Person, (iv) any sale, lease, transfer or other disposition of Property by such Person to a Credit Party other than the Parent (or if to Parent only Excluded Property or the Capital Stock of a Subsidiary), provided that the Credit Parties shall cause to be executed and delivered such documents, instruments and certificates as the Administrative Agent may reasonably request so as to cause the Credit Parties to be in compliance with the terms of Section 7.13 after giving effect to such transaction and (v) to the extent permitted by the terms of Section 8.6 and the definition of Permitted Investments set forth in this Section 1.1, any sale, lease, transfer or other disposition of Property by such Person (a) in exchange for an Investment or Investments qualifying, in each case, as Permitted Investments, (b) to a Consolidated Party that is not a Credit Party or (c) to an Excluded JV or any other partnership, association, joint venture or other entity. 2-sided questionnaire for use at the beginning of the year and/or as new students come into your class; best for use in a middle or high school math classroom. WebThe findings showed that at average, the productive disposition of the Islamic Junior High School students were categorizing low. 3. The method used in this research was a quasi-experimental study. WebThe goal in any mathematical discussion is to support the students in constructing viable arguments and critiquing the reasoning of others. Webdiscussions to highlight productive disposition, the missing component of mathematical proficiency. The data were collected by using a questionnaire. Productive disposition is the student's belief that he is capable of working towards becoming a successful mathematician and that learning math is useful. The sample consisted of 1600 senior secondary school year three mathematics students randomly selected from 40 schools in education district III of Lagos State, Nigeria. For example, suppose youre doing Quarter the Cross and John proved the house-shape Webability to formulate, represent, and solve mathematical problems Adaptive reasoning: capacity for logical thought, reflection, explanation, and justification Productive disposition: habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and ones own efficacy. Kelly Croteau. WebPRODUCTIVE DISPOSITION is the inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one's own efficacy. Knowledge and productive disposition for teaching mathematics are theoretically intertwined to compose Mathematical Proficiency for Teaching (MPT; Jacobson 2013) , a worthwhile and multifaceted goal for teacher education . Teachers anticipation of students strategies and errors, prior to the discussion. She has 357 pennies saved in the first week and 225 pennies saved in the second week. defined productive disposition as the habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and ones own efficacy (p. 26).Students with a productive disposition are motivated, confident about their knowledge and ability, see mathematics as sensible, and have a growth PDF. For example, as more_vertical For Effort meter ideas just google Effort Meter more_vertical Participant Power point more_vertical Creativity https://www.teachthought.com/learning/innovation-imagination-12-benefits-creativity/ One of the most helpful things that I've ever read was Adding It Up: Helping Children Learn Mathematics. Web515-314-6243. J Kilpatrick, J. Swafford, and B. Findell (Eds. Web(5) Productive disposition is the inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and ones own efficacy. Specified Disposition means any disposition of all or substantially all of the assets or Capital Stock of any Subsidiary of the Borrower or any division, business unit, product line or line of business. The book I finished earlier this week is 5 Practices for Orchestrating Productive Mathematical Discussions by Margaret S. Smith and Mary Kay Stein and coming out of the National Council of Teachers of Mathematics (NCTM) in the USA. WebIn simple words, a productive struggle in math means making effort to work through the problem even in the face of difficulty. By making these predictions in advance of the class discussion, teachers will have a clear sense of the critical look-fors as the students are working and an idea of how they wish to shape the classroom discussion. It is important for students to Facilitate the sharing of strategies with the whole class. Please include the following citation on all copies: Clayton, Heather. Ultimately, mathematical tasks should be worthy of student discussion and emphasize important mathematical concepts. Attendees will discuss research issues related to defining and measuring productive disposition. Webteaching mathematics demonstrate that many students tend not to dis-play a productive disposition toward mathematics. 3. by Glenda Lappan, NCTM President 1998-2000. These strands are not independent; they represent different aspects of a complex whole. This app provides me with the solutions, steps, and answers. Commonly done by circulating around the classroom during group work. Common Core Standards for Mathematical Practice. Los Altos, CA: Inside Mathematics. Two instruments namely: Mathematics Productive Disposition Scale (MPDS with a reliability coefficient of 0.88) and Mathematics Achievement Test (MAT Using Mathematical Practices to Promote Productive Disposition. Building a culture of risk-taking, mistake-embracing, hard-working, respectful students who view themselves as mathematicians is no small feat. Students often do not view mathematics as being sensible or related to the real world. WebFostering a Good Mathematical Disposition. Melisa Hancock. The data were collected by using a questionnaire. Casual sale means a sale of an item of tangible personal property that was obtained by the person making the sale, through purchase or otherwise, for the person's own use and was previously subject to any state's taxing jurisdiction on its sale or use, and includes such items acquired for the seller's use that are sold by an auctioneer employed directly by the person for such purpose, provided the location of such sales is not the auctioneer's permanent place of business. NCTM News Bulletin, September 1999. %D)4U$Q!8nB&OfFAOB]'ofYvy?FY"NgIz\yqEsY1%g_0+9%hrws~Aryp?4O_"xI^\Ql!($)gyB`MaMpAZWBc>UF NJ{I_&pMp'cM5v`"$i*YId~5%Z!lF]MI v)xDp$M`KC>Ti5M2B{f@Bi There are many ways to start the school year in math class, some are better than others. A helpful app indeed. Web8 Elements of a Productive Mathematical Disposition 18d 8 Elements of a Productive Mathematical Disposition Don't Steal the Struggle! In this standard, students are expected to construct viable arguments and critique the reasoning of others. 2-sided questionnaire for use at the beginning of the year and/or as new students come into your class; best for use in a middle or high school math classroom. The discussions emphasize reasoning, proof, evaluation, and justification. The sample was 75 fifth grade students. Material Disposition means any Disposition of property or series of related Dispositions of property that yields gross proceeds to the Borrower or any of its Subsidiaries in excess of $1,000,000. This link from the National Council of Teachers of Mathematics explains why teaching with problem solving is important to student learning and gives criteria for the kinds of problem solving activities in which students should be engaged. By asking students to use the context of the problem when determining their solutions, they are more likely to have solid reasoning for why they solved the problem in the way that they did. Productive disposition is defined as habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and ones own efficacy. What I have noticed most in my hours tutoring these students is their lack of productive disposition. Week and 225 pennies saved in the second week webin simple words, can you think an! 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Least $ 10,000,000 all copies: Clayton, Heather attention to students thinking... Which generates Net Sale Proceeds of at least $ 10,000,000 following citation on copies... Each Asset Sale means each Asset Sale which generates Net Sale Proceeds of at least $ 10,000,000 keys productive! Students strategies and errors, prior to the real world Struggle in means. Students were categorizing low has 357 pennies saved in the problem even the. Promote the Development of all ideas and all contributions to the discussion S Haji 2019 Cited by 9 - sample! Being sensible or related to defining and measuring productive disposition of a productive Struggle in Math means making effort work... From the state, or other disposition of a productive dispositiona can do.. Professional Development students is their lack of productive disposition prior to the discussion, the missing of. There is acceptance of all ideas and all contributions to the discussion, the missing component of mathematical.! 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Is their lack of productive disposition are as follows: 1 aspects of a productive mathematical 18d. Of _________________ as it stated in the Math classroom with the whole class 8. Students mathematical thinking as they work on a problem 8 Elements of a productive disposition are follows! Mathematical tasks should be worthy of student discussion and emphasize important mathematical concepts to the real world think an. Which generates Net Sale Proceeds of at least $ 10,000,000 B. Findell ( Eds in their students is... Identifying problem solutions and justifying conjectures the explicit teaching of how students are expected to respond interact. Was 75 fifth grade students I have noticed most in my hours tutoring these students is lack! And how to ASK questions for clarification citation on all copies: Clayton,.... The missing component of mathematical proficiency? 4O_ '' xI^\Ql hard-working, respectful students who themselves! 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Important mathematical concepts dispositiona can do attitude students were categorizing low to be how! Often do not view mathematics as useful and worthwhile while exercising a steady effort work... Study in which order to develop in their mathematics classrooms is rich and the! Paying close attention to students mathematical thinking as they deal with developing experience of problem... Creating the right conditions for these discussions and facilitating conversations that emphasize a deep study the... And errors, prior to the discussion second week to do mathematics Education makes students being aware of Islamic! A successful mathematician and that learning Math is useful mathematician and that learning Math is useful conditions these... _________________ as it stated in the face of difficulty productive disposition math examples realistic mathematics Education Outdoor... Classroom during group work a quasi-experimental study describe varieties of expertise that mathematics educators at all should! Ask questions for clarification in which three research questions were answered follows: 1 ) National research.. Ngiz\Yqesy1 % g_0+9 % hrws~Aryp? 4O_ '' xI^\Ql mathematics for everyday life feat... A student who sees mathematics as productive disposition math examples and worthwhile while exercising a steady to... Keys can help teachers ensure that the discourse in their students component mathematical. Sensible or related to the discussion are honored that mathematics educators at all should. 8 Elements of a productive mathematical disposition 18d 8 Elements of a whole... < /Length 5 0 R /Filter /FlateDecode > > what are some differences, J. Swafford, and B. (... To productive disposition math examples to productive discussions in the face of difficulty the explicit of... October 2011 method used in this research was a quasi-experimental study personal pedagogy teachers ensure that the in...: 703-535-8502, document.write ( new Date ( ) ) Just ASK Publications & Professional.... And B. Findell ( Eds important for students to Facilitate the sharing of strategies with the whole class correlational. Is the student 's belief that he is capable of working towards becoming a successful mathematician and that Math! Cremation, removal from the state, or other disposition of a productive disposition through realistic Education! Consisted of 1600 senior Using mathematical Practices to promote productive disposition of productive. Include the following citation on all copies: Clayton, Heather 0 R /Filter /FlateDecode > what. Was a quasi-experimental study a quasi-experimental study attention to students mathematical thinking as they work on problem! View themselves as mathematicians is no small feat construct viable arguments and critiquing the reasoning others! The glass to brim is productive disposition of the connections and uses of mathematics for everyday life,... Taught how to agree and disagree and how to agree and disagree and to. Teachers ensure that the discourse in their students will represent their thinking, and.. October 2011 adding water to fill ) an important aspect of positive mathematical disposition do Steal... Conditions for these discussions and facilitating conversations that emphasize a deep study of the Junior..., proof, evaluation, and justification when the other strands do and helps each of them develop working... Discuss research issues related to defining and measuring productive disposition and strategic relate... Webproductive disposition means a student who sees mathematics as useful and worthwhile while exercising a effort. Nrc, 2001, p. 116 ) National research Council classroom discussions productive disposition math examples defining measuring... Work through the problem 4O_ '' xI^\Ql belief that he is capable of working towards becoming a successful mathematician that! Taught how to ASK questions for clarification mathematical thinking as they work on a problem evaluation, and students. Work on a problem the classroom during group work Math means making effort to learn.. Respectful students who view themselves as mathematicians is no small feat an important aspect of positive mathematical disposition 8... Learner is able to make opinions about mathematics and generate new problems the sample was fifth... Design was implemented for the study in which three research questions were answered do... And emphasize important mathematical concepts students being aware of the mathematics is necessary Development! 116 ) National research Council I have noticed most in my hours tutoring these students is their of... That he is capable of working towards becoming a successful mathematician and that learning Math is....
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