• #Z's Think-Writing File

  • #Things to Think through via Writing
    #↓

  • #→
    @RSM, @research action
    #- Idea: Use Toulmin's (sp?) claim-reason-evidence-warrant structure to guide my reasoning about and explanation of my rough, initial, hypothesized program theory as well as my final, revised, evidence-informed program theory

  • @writing, @revising
    #My Proposal Tables, Images, and Appendices

  • #Booth (2008), p. 109
    Claim-reason-evidence-warrant:
    “. . . every argument, research or not, is built out of answers to five questions . . . questions that you must ask yourself on your reader’s behalf:

    • What is my claim?
    • What reasons support my claim?
    • What evidence supports my reasons?
    • What principle makes my reasons relevant to my claim? (We call this principle a warrant.)”
      #↓
  • . . . THEREFORE, regarding my claim as to my hypothesized, rough, initial program theory

    • I claim that ONE mechanism underlying bar diagramming is that it affords subjects the OPPORTUNITY to “add leaves to their realization trees” by engaging in MR (multimodal representation)
    • REASONS: distributed cognition; theory of binumeracy; appropriation of sign; UMR SOLO cycle; diagram-gesture-agency theory; embodied cognition in mathematics
    • PRINCIPLES: the complementarity of the two functions of sign; math as a SFMD; defining one’s mathematical understanding of a signifier as one’s realization tree for a mathematical signifier; MRC (multimodal representational competency)
  • Writing about My Proposal Tables

  • Old Draft

  • New Draft

  • #My Proposal Figures

  • Writing about My Proposal Figures

  • #My Proposal Appendices

  • Writing about My Proposal Appendices

  • #`What type of academic writer are you?`
    #↓

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(We call this principle a warrant.)\"\n#↓"},{"_id":"3bb3f71e2552d4e79d000012","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1,"parentId":"3bb3f3532552d4e79d000011","content":"##. . . `THEREFORE`, regarding my claim as to my `hypothesized, rough, initial program theory`\n\n* I claim that ONE mechanism underlying bar diagramming is that it affords subjects the OPPORTUNITY to \"add leaves to their realization trees\" by engaging in MR (multimodal representation)\n* REASONS: distributed cognition; theory of binumeracy; appropriation of sign; UMR SOLO cycle; diagram-gesture-agency theory; embodied cognition in mathematics\n* PRINCIPLES: the complementarity of the two functions of sign; math as a SFMD; defining one's mathematical understanding of a signifier as one's realization tree for a mathematical signifier; MRC (multimodal representational competency)"},{"_id":"3bb914672552d4e79d00001b","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":4,"parentId":null,"content":"@writing, @revising\n#My Proposal Tables, Images, and Appendices\n"},{"_id":"3bb916192552d4e79d00001c","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1,"parentId":"3bb914672552d4e79d00001b","content":"##My Proposal Tables\n"},{"_id":"3bb9176b2552d4e79d00001d","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1,"parentId":"3bb916192552d4e79d00001c","content":"Writing about My Proposal Tables"},{"_id":"3bb918da2552d4e79d00001e","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1,"parentId":"3bb9176b2552d4e79d00001d","content":"#My Proposal Figures\n"},{"_id":"3bb919302552d4e79d00001f","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1,"parentId":"3bb918da2552d4e79d00001e","content":"Writing about My Proposal 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it!"},{"_id":"3bb96d7d2552d4e79d000034","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1.5,"parentId":"3bb919302552d4e79d00001f","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-09.png)"},{"_id":"3bb971522552d4e79d000038","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1.5078125,"parentId":"3bb919302552d4e79d00001f","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-05.png)"},{"_id":"3bb971e02552d4e79d000039","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1.515625,"parentId":"3bb919302552d4e79d00001f","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-04.png)"},{"_id":"3bb972452552d4e79d00003a","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1.53125,"parentId":"3bb919302552d4e79d00001f","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-03.png)"},{"_id":"3bb972832552d4e79d00003b","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1.5625,"parentId":"3bb919302552d4e79d00001f","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-02.png)"},{"_id":"3bb973032552d4e79d00003c","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1.625,"parentId":"3bb919302552d4e79d00001f","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-01.png)"},{"_id":"3bb9708f2552d4e79d000036","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":1.75,"parentId":"3bb919302552d4e79d00001f","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-07.png)"},{"_id":"3bb975282552d4e79d00003d","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":2,"parentId":"3bb919302552d4e79d00001f","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-00.png)"},{"_id":"3bb968e62552d4e79d00002b","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":11,"parentId":"3bb9176b2552d4e79d00001d","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-19.png)"},{"_id":"3bb969562552d4e79d00002c","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":12,"parentId":"3bb9176b2552d4e79d00001d","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-18.png)"},{"_id":"3bb969cb2552d4e79d00002d","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":13,"parentId":"3bb9176b2552d4e79d00001d","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-17.png)"},{"_id":"3bb96ada2552d4e79d00002e","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":14,"parentId":"3bb9176b2552d4e79d00001d","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-16.png)"},{"_id":"3bb96bdc2552d4e79d00002f","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":15,"parentId":"3bb9176b2552d4e79d00001d","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-15.png)"},{"_id":"3bb96c152552d4e79d000030","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":16,"parentId":"3bb9176b2552d4e79d00001d","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-14.png)"},{"_id":"3bb96c572552d4e79d000031","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":17,"parentId":"3bb9176b2552d4e79d00001d","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-13.png)"},{"_id":"3bb96ca62552d4e79d000032","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":18,"parentId":"3bb9176b2552d4e79d00001d","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-12.png)"},{"_id":"3bb96d282552d4e79d000033","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":19,"parentId":"3bb9176b2552d4e79d00001d","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-11.png)"},{"_id":"3bdae25caa168fd4ce000043","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":2,"parentId":"3bb916192552d4e79d00001c","content":"Old Draft\n"},{"_id":"3bdae35caa168fd4ce000044","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":3,"parentId":"3bb916192552d4e79d00001c","content":"New Draft"},{"_id":"3bb9683f2552d4e79d000029","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":2,"parentId":"3bb914672552d4e79d00001b","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-21.png)"},{"_id":"3bb95b672552d4e79d000022","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":2.5,"parentId":"3bb914672552d4e79d00001b","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-28.png)"},{"_id":"3bb966382552d4e79d000024","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":3,"parentId":"3bb914672552d4e79d00001b","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-26.png)\n[Table 3]( http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-26.png)"},{"_id":"3bb9689a2552d4e79d00002a","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":3.75,"parentId":"3bb914672552d4e79d00001b","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-20.png)"},{"_id":"3bb966c12552d4e79d000026","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":3.875,"parentId":"3bb914672552d4e79d00001b","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-24.png)"},{"_id":"3bb967302552d4e79d000027","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":3.90625,"parentId":"3bb914672552d4e79d00001b","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-23.png)"},{"_id":"3bb967fa2552d4e79d000028","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":3.921875,"parentId":"3bb914672552d4e79d00001b","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-22.png)"},{"_id":"3bb966802552d4e79d000025","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":3.9375,"parentId":"3bb914672552d4e79d00001b","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-25.png)"},{"_id":"3bb9655f2552d4e79d000023","treeId":"3bb3f218bee9cb60090000f8","seq":1,"position":4,"parentId":"3bb914672552d4e79d00001b","content":"![](http://theblossomingfledglingresearcher.files.wordpress.com/2014/01/proposal-tables-figures-appendices-2014jan02-no-27.png)"}],"tree":{"_id":"3bb3f218bee9cb60090000f8","name":"Z's 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