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COCKTAIL PARTY CALCULUS: COLLABORATIVE WRITING IN MATHEMATICS American Mathematical Association for Two-Year Colleges Nashville, TN November 13-16, 2014 Keith Nabb Moraine Valley Community College Palos Hills,Illinois American Mathematical Association for Two-Year Colleges Nashville, TN November 13-16, 2014 Keith Nabb Moraine Valley Community College Palos Hills,Illinois

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Crises in Mathematics Lack of understanding in mathematical principles Opportunities to communicate about mathematics are rare Writing skills are mediocre Attention to creativity in America and its decline Newsweek, 2010 A Whole New Mind, Daniel Pink, 2006 Lack of understanding in mathematical principles Opportunities to communicate about mathematics are rare Writing skills are mediocre Attention to creativity in America and its decline Newsweek, 2010 A Whole New Mind, Daniel Pink, 2006 3

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Is Creativity Dead? Sir Ken Robinson (TED talk, 2006) Creativity now is as important in education as literacy, and we should treat it with the same status. Every education system on Earth has the same hierarchy of subjects: at the top are mathematics and languages, then the humanities, and the bottom are the arts. Human resources are like natural resources; theyre often buried deep. You have to go looking for them, theyre not just lying around on the surface. Sir Ken Robinson (TED talk, 2006) Creativity now is as important in education as literacy, and we should treat it with the same status. Every education system on Earth has the same hierarchy of subjects: at the top are mathematics and languages, then the humanities, and the bottom are the arts. Human resources are like natural resources; theyre often buried deep. You have to go looking for them, theyre not just lying around on the surface. 4

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Calculus I (Honors) Moraine Valley Community College Honors Program Goals Team-building Collaboration Group Activity/Service projects Leadership Moraine Valley Community College Honors Program Goals Team-building Collaboration Group Activity/Service projects Leadership 5

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COCKTAIL PARTY CALCULUS Objective : Students write about a topic that piques their interest. The discussion should be substantive yet accessible to a person having no prior exposure to this topic. Assemble all narratives into book form and share with incoming Calculus students. 6

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Special emphasis on... Draft/revise/revise/revise Editor/author relationship Students were authors/coauthors of a chapter One student was the artist Organization and coherence Each contribution is special Ask for help if you need it!! Good writing is a process Draft/revise/revise/revise Editor/author relationship Students were authors/coauthors of a chapter One student was the artist Organization and coherence Each contribution is special Ask for help if you need it!! Good writing is a process 7

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OUTCOMES (STUDENTS) 8

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Diversity of Thought Different methods of studying and communicating ideas Students/Ideas from around the globe The chapters give a peek into the mental laboratories of the authors Different methods of studying and communicating ideas Students/Ideas from around the globe The chapters give a peek into the mental laboratories of the authors 9

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Reconnecting to our Creative Nature Creativity is innate As we age, we tend to take part in fewer creative endeavors To many, math is cut and dried. Allowing students to tap into their imaginations can give the mathematics new life Once dormant mathematics can evolve in this new light Creativity is innate As we age, we tend to take part in fewer creative endeavors To many, math is cut and dried. Allowing students to tap into their imaginations can give the mathematics new life Once dormant mathematics can evolve in this new light 10

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Writing Ensures Comprehension Coherent writing in mathematics implies that sufficient knowledge has been attained Writing compels one to reach a sound understanding of said concept This level of proficiency is required for teaching Coherent writing in mathematics implies that sufficient knowledge has been attained Writing compels one to reach a sound understanding of said concept This level of proficiency is required for teaching 11

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Teaching via Written Word Writing in this context is similar to verbal teaching Words need to be chosen with great care Sense of permanence Understanding the rationale behind an idea Move from asking how to asking why True understanding/critical thinking are natural byproducts Teacher perspective Better understanding of how students see math Allows for instructional adjustments Writing in this context is similar to verbal teaching Words need to be chosen with great care Sense of permanence Understanding the rationale behind an idea Move from asking how to asking why True understanding/critical thinking are natural byproducts Teacher perspective Better understanding of how students see math Allows for instructional adjustments 12

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SURPRISES (TEACHER) 13

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Interdisciplinary work Is this a math project or a writing project? Student questions Do I need an attention grabber to start my chapter? How should I organize my chapter? Should I include examples? What exactly do you want from me? Student outcomes I didnt have to study the disc method at all after this! I really feel like Im contributing to a great product. Writing has always been difficult for me but I like math. I think I like writing too after this project. Teacher outcomes I saw a completely different profile of my students Novel assessment Is this a math project or a writing project? Student questions Do I need an attention grabber to start my chapter? How should I organize my chapter? Should I include examples? What exactly do you want from me? Student outcomes I didnt have to study the disc method at all after this! I really feel like Im contributing to a great product. Writing has always been difficult for me but I like math. I think I like writing too after this project. Teacher outcomes I saw a completely different profile of my students Novel assessment 14

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Team-oriented attitude Cooperation Unsolicited help from student to student Peer coaching Students were authors/coauthors of a chapter One student was the artist Realization that any one chapter represents a cross section of Cocktail Party Competition Amicable rivalry A great balance The expectations of the project allowed this to happen! Cooperation Unsolicited help from student to student Peer coaching Students were authors/coauthors of a chapter One student was the artist Realization that any one chapter represents a cross section of Cocktail Party Competition Amicable rivalry A great balance The expectations of the project allowed this to happen! 15

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A different relationship Teacher as editor Check grammar, relevance, mathematical accuracy Assembling all chapters Requesting author bios Final formatting and printing Student as contributor Brainstorming for ideas Drafting/revising a chapter Collaborating with coauthors Achieving the right balance of mathematics, exposition, and keeping the reader engaged Teacher as editor Check grammar, relevance, mathematical accuracy Assembling all chapters Requesting author bios Final formatting and printing Student as contributor Brainstorming for ideas Drafting/revising a chapter Collaborating with coauthors Achieving the right balance of mathematics, exposition, and keeping the reader engaged 16

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Having fun Author biography Intended transfer institution, major of study, two hobbies Author biography Intended transfer institution, major of study, two hobbies 17

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Section Titles Hors doeuvres/Savory Snacks What is a Limit?; Continuity in a Nutshell; The Intermediate Value Theorem Fine Conversation/Signature Cocktails The Derivative; Differentiation Rules; Implicit Differentiation; Optimization; Concavity, White Castle, and the Affective Domain; Newtons Method Cigars Interpretations of the Definite Integral; The Fundamental Theorem of Calculus; u-substitution: Its all about u; On the Relationship between Integration and Differentiation The Next Morning Area between Curves; Mathematical Calories: Volumes by Discs; Center-oids: Mapping out the X; Ultra Violet Voodoo: Integration by Parts; An Integral Perspective; Nothing Improper; Geometric Series; Basic Theorems of Infinite Series; When in Doubt, Try this Route: The Ratio Test; The Cycloid Section Titles Hors doeuvres/Savory Snacks What is a Limit?; Continuity in a Nutshell; The Intermediate Value Theorem Fine Conversation/Signature Cocktails The Derivative; Differentiation Rules; Implicit Differentiation; Optimization; Concavity, White Castle, and the Affective Domain; Newtons Method Cigars Interpretations of the Definite Integral; The Fundamental Theorem of Calculus; u-substitution: Its all about u; On the Relationship between Integration and Differentiation The Next Morning Area between Curves; Mathematical Calories: Volumes by Discs; Center-oids: Mapping out the X; Ultra Violet Voodoo: Integration by Parts; An Integral Perspective; Nothing Improper; Geometric Series; Basic Theorems of Infinite Series; When in Doubt, Try this Route: The Ratio Test; The Cycloid 18 Having fun

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Comic Strips 19

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Having fun Comic Strips 20

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Having fun 21

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Students tell all Ali Kathy Bill Marco Ali Kathy Bill Marco 25

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IMPLICATIONS/EXTENSIONS You could do this in any math class Deepens their understanding, enhances their writing/organizational skills Lends them the freedom to create something that is uniquely theirs Encourages communication and team-building An idea: Co-enrollment in math/writing courses Assignments straddle both subjects Mutually beneficial to each area Students may see the value in interdisciplinary learning You could do this in any math class Deepens their understanding, enhances their writing/organizational skills Lends them the freedom to create something that is uniquely theirs Encourages communication and team-building An idea: Co-enrollment in math/writing courses Assignments straddle both subjects Mutually beneficial to each area Students may see the value in interdisciplinary learning 26

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Keith Nabb nabb@morainevalley.edu www.morainevalley.edu/math (look in the *News* box) Keith Nabb nabb@morainevalley.edu www.morainevalley.edu/math (look in the *News* box) 27