216b3f2804b29193f290af551330d094 mathematics_a2022v10n21p4010.pdf 44f49a97a7c76baa483979534039f6d4b6960e9e mathematics_a2022v10n21p4010.pdf 5a5e6921f22c0e7fae2c9a7026a6e8959d2113ea28560b3bef1a38dff711638a mathematics_a2022v10n21p4010.pdf Title: Mathematical Connections and the Mathematics Teacher’s Specialised Knowledge Subject: This study seeks to explore the relationship between recent findings on mathematical connections and the Mathematics Teacher’s Specialised knowledge model. From a qualitative approach, we seek to explore the specialised knowledge mobilised during the establishment of mathematical connections in different contexts. The study takes into consideration the results from previous studies that were conducted with both prospective and in service teachers. The results suggest the need to include the notion of complexity in the mathematical connections defined by the Mathematics Teacher’s Specialised knowledge model. Similarly, they suggest that it is possible to find some ambiguities in the use of the model, so it would be enriching to consider the current classification of mathematical connections in order to improve the model as an analytical tool. Finally, the results suggest the need to include mathematical connections as part of the pedagogical content knowledge domain, since the knowledge of this domain could be mobilised during the establishment of mathematical connections. Keywords: mathematics teacher’s specialised knowledge; mathematical connections; complexity of mathematical connections Author: Genaro De Gamboa, Sofía Caviedes and Edelmira Badillo Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Fri Oct 28 16:18:20 2022 CEST ModDate: Fri Oct 28 16:24:45 2022 CEST Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 24 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 4913972 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- PZNHNW+URWPalladioL-Bold Type 1 Custom yes yes no 10 0 WCIUOL+URWPalladioL-Roma Type 1 Custom yes yes no 15 0 NNKRBV+URWPalladioL-Ital Type 1 Custom yes yes no 19 0 CMFVHJ+VnURWPalladioL Type 1 Custom yes yes no 23 0 WLENKM+VnURWPalladioL-Bold Type 1 Custom yes yes no 28 0 DVTHKG+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 46 0 CBKJMO+CMSY10 Type 1 Builtin yes yes no 75 0 GIGFZE+CMR10 Type 1 Builtin yes yes no 79 0 XBSWVT+CambriaMath CID TrueType Identity-H yes yes yes 88 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 96 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 100 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 104 0 PPRVNJ+CambriaMath TrueType WinAnsi yes yes yes 108 0 RLYTRW+CMMI10 Type 1 Builtin yes yes no 117 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 131 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 135 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 139 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 148 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 152 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 156 0 XBSWVT+CambriaMath CID TrueType Identity-H yes yes yes 167 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 175 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 179 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 183 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 195 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 199 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 203 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 221 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 225 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 229 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 235 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 239 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 243 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 253 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 257 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 261 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 272 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 276 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 280 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 290 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 294 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 298 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 304 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 308 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 312 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 323 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 327 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 331 0 XBSWVT+CambriaMath CID TrueType Identity-H yes yes yes 344 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 352 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 356 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 360 0 PPRVNJ+CambriaMath TrueType WinAnsi yes yes yes 364 0 XBSWVT+CambriaMath CID TrueType Identity-H yes yes yes 372 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 380 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 384 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 388 0 PPRVNJ+CambriaMath TrueType WinAnsi yes yes yes 392 0 YXJCJR+PalatinoLinotype-Roman CID TrueType Identity-H yes yes yes 401 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 409 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 413 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 417 0 XBSWVT+CambriaMath CID TrueType Identity-H yes yes yes 423 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 431 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 435 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 439 0 PPRVNJ+CambriaMath TrueType WinAnsi yes yes yes 443 0 XBSWVT+CambriaMath CID TrueType Identity-H yes yes yes 452 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 460 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 464 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 468 0 PPRVNJ+CambriaMath TrueType WinAnsi yes yes yes 472 0 YXJCJR+PalatinoLinotype-Roman CID TrueType Identity-H yes yes yes 478 0 HVSEFZ+PalatinoLinotype-Italic TrueType WinAnsi yes yes yes 486 0 QYKGBH+PalatinoLinotype-Bold TrueType WinAnsi yes yes yes 490 0 WUFQHV+PalatinoLinotype-Roman TrueType WinAnsi yes yes yes 494 0 OTDGPS+VnURWPalladioL-Italic Type 1 Custom yes yes no 511 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2022-11-26 02:35:46 CET RepresentationInformation: mathematics_a2022v10n21p4010.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2022-11-25 15:07:10 CET Size: 4913972 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 706 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4923ab24 Children: Item: Title: The Mathematics Teacher’s Specialised Knowledge Model MTSK Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@44c8afef Item: Title: Recent Results in the Characterisation of Mathematical Connections Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b69c6ba Item: Title: Methods Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@46daef40 Item: Title: Results Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634 Children: Item: Title: Global Results of the First and Second Study Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Item: Title: Mathematical Knowledge Mobilised by PSTs and Teachers Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Item: Title: Discussion Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Item: Title: Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5ed828d Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@50d0686 Info: Title: Mathematical Connections and the Mathematics Teacher’s Specialised Knowledge Author: Genaro De Gamboa, Sofía Caviedes and Edelmira Badillo Subject: This study seeks to explore the relationship between recent findings on mathematical connections and the Mathematics Teacher’s Specialised knowledge model. From a qualitative approach, we seek to explore the specialised knowledge mobilised during the establishment of mathematical connections in different contexts. The study takes into consideration the results from previous studies that were conducted with both prospective and in service teachers. The results suggest the need to include the notion of complexity in the mathematical connections defined by the Mathematics Teacher’s Specialised knowledge model. Similarly, they suggest that it is possible to find some ambiguities in the use of the model, so it would be enriching to consider the current classification of mathematical connections in order to improve the model as an analytical tool. Finally, the results suggest the need to include mathematical connections as part of the pedagogical content knowledge domain, since the knowledge of this domain could be mobilised during the establishment of mathematical connections. Keywords: mathematics teacher’s specialised knowledge; mathematical connections; complexity of mathematical connections Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Fri Oct 28 16:18:20 CEST 2022 ModDate: Fri Oct 28 16:24:45 CEST 2022 ID: 0xcec22b67d0414e8c4346bd496f6622db, 0xcec22b67d0414e8c4346bd496f6622db Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: NNKRBV+URWPalladioL-Ital FontSubset: true FirstChar: 39 LastChar: 241 FontDescriptor: FontName: NNKRBV+URWPalladioL-Ital Flags: Symbolic FontBBox: -170, -305, 1010, 941 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: RLYTRW+CMMI10 FontSubset: true FirstChar: 60 LastChar: 60 FontDescriptor: FontName: RLYTRW+CMMI10 Flags: Symbolic FontBBox: -32, -250, 1048, 750 FontFile: true Font: BaseFont: CMFVHJ+VnURWPalladioL FontSubset: true FirstChar: 129 LastChar: 226 FontDescriptor: FontName: CMFVHJ+VnURWPalladioL Flags: Symbolic FontBBox: -166, -283, 1021, 943 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: PZNHNW+URWPalladioL-Bold FontSubset: true FirstChar: 3 LastChar: 121 FontDescriptor: FontName: PZNHNW+URWPalladioL-Bold Flags: Symbolic FontBBox: -152, -301, 1000, 935 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: CBKJMO+CMSY10 FontSubset: true FirstChar: 0 LastChar: 33 FontDescriptor: FontName: CBKJMO+CMSY10 Flags: Symbolic FontBBox: -29, -960, 1116, 775 FontFile: true Font: BaseFont: WLENKM+VnURWPalladioL-Bold FontSubset: true FirstChar: 189 LastChar: 189 FontDescriptor: FontName: WLENKM+VnURWPalladioL-Bold Flags: Symbolic FontBBox: -152, -301, 1000, 935 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: WCIUOL+URWPalladioL-Roma FontSubset: true FirstChar: 2 LastChar: 241 FontDescriptor: FontName: WCIUOL+URWPalladioL-Roma Flags: Symbolic FontBBox: -166, -283, 1021, 943 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: GIGFZE+CMR10 FontSubset: true FirstChar: 40 LastChar: 61 FontDescriptor: FontName: GIGFZE+CMR10 Flags: Symbolic FontBBox: -40, -250, 1009, 750 FontFile: true Font: BaseFont: OTDGPS+VnURWPalladioL-Italic FontSubset: true FirstChar: 161 LastChar: 226 FontDescriptor: FontName: OTDGPS+VnURWPalladioL-Italic Flags: Symbolic FontBBox: -170, -305, 1010, 941 FontFile: true EncodingDictionary: Differences: true Pages: Page: Sequence: 1 Annotations: Annotation: Subtype: Link Rect: 120, 335, 152, 344 Annotation: Subtype: Link Rect: 34, 323, 133, 332 Annotation: Subtype: Link Rect: 34, 164, 96, 186 Annotation: Subtype: Link Rect: 126, 90, 154, 99 Annotation: Subtype: Link Rect: 34, 78, 147, 87 Annotation: Subtype: Link Rect: 34, 756, 173, 792 Annotation: Subtype: Link Rect: 515, 756, 560, 792 Annotation: Subtype: Link Rect: 132, 661, 143, 674 Annotation: Subtype: Link Rect: 216, 661, 227, 674 Annotation: Subtype: Link Rect: 327, 661, 338, 674 Annotation: Subtype: Link Rect: 445, 300, 452, 309 ActionDest: 508 Annotation: Subtype: Link Rect: 522, 300, 529, 309 ActionDest: 508 Annotation: Subtype: Link Rect: 191, 288, 198, 297 ActionDest: 508 Annotation: Subtype: Link Rect: 192, 275, 199, 284 ActionDest: 508 Annotation: Subtype: Link Rect: 249, 225, 256, 234 ActionDest: 508 Annotation: Subtype: Link Rect: 232, 175, 239, 184 ActionDest: 508 Annotation: Subtype: Link Rect: 493, 99, 500, 108 ActionDest: 508 Annotation: Subtype: Link Rect: 192, 87, 199, 96 ActionDest: 508 Annotation: Subtype: Link Rect: 289, 87, 296, 96 ActionDest: 508 Annotation: Subtype: Link Rect: 334, 87, 341, 96 ActionDest: 508 Annotation: Subtype: Link Rect: 390, 87, 397, 96 ActionDest: 508 Annotation: Subtype: Link Rect: 448, 87, 455, 96 ActionDest: 508 Annotation: Subtype: Link Rect: 543, 87, 555, 96 ActionDest: 508 Annotation: Subtype: Link Rect: 321, 74, 333, 83 ActionDest: 508 Annotation: Subtype: Link Rect: 333, 74, 345, 83 ActionDest: 508 Annotation: Subtype: Link Rect: 130, 17, 273, 28 Annotation: Subtype: Link Rect: 391, 17, 560, 28 Annotation: Subtype: Link Rect: 34, 396, 87, 415 Page: Sequence: 2 Annotations: Annotation: Subtype: Link Rect: 441, 723, 448, 732 ActionDest: 508 Annotation: Subtype: Link Rect: 352, 685, 359, 694 ActionDest: 508 Annotation: Subtype: Link Rect: 443, 685, 450, 694 ActionDest: 508 Annotation: Subtype: Link Rect: 524, 685, 536, 694 ActionDest: 508 Annotation: Subtype: Link Rect: 416, 497, 428, 506 ActionDest: 508 Annotation: Subtype: Link Rect: 419, 434, 431, 443 ActionDest: 508 Annotation: Subtype: Link Rect: 432, 434, 443, 443 ActionDest: 508 Annotation: Subtype: Link Rect: 407, 333, 419, 342 ActionDest: 508 Annotation: Subtype: Link Rect: 307, 308, 314, 317 ActionDest: 508 Annotation: Subtype: Link Rect: 280, 271, 287, 280 ActionDest: 508 Annotation: Subtype: Link Rect: 355, 271, 367, 280 ActionDest: 508 Annotation: Subtype: Link Rect: 193, 195, 200, 204 ActionDest: 508 Annotation: Subtype: Link Rect: 231, 120, 238, 129 ActionDest: 508 Annotation: Subtype: Link Rect: 275, 95, 287, 104 ActionDest: 508 Page: Sequence: 3 Annotations: Annotation: Subtype: Link Rect: 406, 710, 418, 719 ActionDest: 508 Annotation: Subtype: Link Rect: 246, 673, 258, 682 ActionDest: 508 Annotation: Subtype: Link Rect: 309, 635, 316, 644 ActionDest: 508 Annotation: Subtype: Link Rect: 469, 635, 481, 644 ActionDest: 508 Annotation: Subtype: Link Rect: 422, 572, 434, 581 ActionDest: 508 Annotation: Subtype: Link Rect: 404, 547, 416, 556 ActionDest: 508 Annotation: Subtype: Link Rect: 304, 484, 316, 493 ActionDest: 508 Annotation: Subtype: Link Rect: 526, 447, 533, 456 ActionDest: 508 Annotation: Subtype: Link Rect: 390, 321, 397, 330 ActionDest: 508 Annotation: Subtype: Link Rect: 399, 82, 405, 91 ActionDest: 508 Annotation: Subtype: Link Rect: 443, 82, 450, 91 ActionDest: 508 Annotation: Subtype: Link Rect: 497, 82, 504, 91 ActionDest: 508 Annotation: Subtype: Link Rect: 197, 70, 209, 79 ActionDest: 508 Annotation: Subtype: Link Rect: 251, 70, 263, 79 ActionDest: 508 Annotation: Subtype: Link Rect: 396, 70, 408, 79 ActionDest: 508 Annotation: Subtype: Link Rect: 523, 70, 535, 79 ActionDest: 508 Page: Sequence: 4 Annotations: Annotation: Subtype: Link Rect: 366, 647, 378, 657 ActionDest: 508 Annotation: Subtype: Link Rect: 307, 547, 319, 556 ActionDest: 508 Annotation: Subtype: Link Rect: 333, 422, 345, 431 ActionDest: 508 Annotation: Subtype: Link Rect: 398, 394, 404, 406 ActionDest: 71 Annotation: Subtype: Link Rect: 543, 92, 555, 101 ActionDest: 508 Annotation: Subtype: Link Rect: 215, 80, 222, 89 ActionDest: 508 Annotation: Subtype: Link Rect: 380, 79, 392, 89 ActionDest: 508 Page: Sequence: 5 Annotations: Annotation: Subtype: Link Rect: 363, 698, 370, 707 ActionDest: 508 Annotation: Subtype: Link Rect: 259, 685, 271, 694 ActionDest: 508 Annotation: Subtype: Link Rect: 171, 597, 183, 606 ActionDest: 508 Annotation: Subtype: Link Rect: 440, 521, 452, 530 ActionDest: 508 Annotation: Subtype: Link Rect: 306, 458, 318, 467 ActionDest: 508 Annotation: Subtype: Link Rect: 318, 458, 330, 467 ActionDest: 508 Annotation: Subtype: Link Rect: 543, 408, 555, 417 ActionDest: 508 Annotation: Subtype: Link Rect: 215, 395, 222, 404 ActionDest: 508 Annotation: Subtype: Link Rect: 231, 338, 238, 347 ActionDest: 508 Annotation: Subtype: Link Rect: 356, 275, 362, 284 ActionDest: 508 Annotation: Subtype: Link Rect: 503, 250, 510, 259 ActionDest: 508 Annotation: Subtype: Link Rect: 461, 212, 468, 221 ActionDest: 508 Annotation: Subtype: Link Rect: 254, 200, 266, 209 ActionDest: 508 Annotation: Subtype: Link Rect: 546, 162, 553, 171 ActionDest: 508 Annotation: Subtype: Link Rect: 199, 124, 211, 133 ActionDest: 508 Annotation: Subtype: Link Rect: 230, 62, 237, 71 ActionDest: 508 Annotation: Subtype: Link Rect: 416, 61, 428, 71 ActionDest: 508 Page: Sequence: 6 Annotations: Annotation: Subtype: Link Rect: 354, 723, 361, 732 ActionDest: 508 Annotation: Subtype: Link Rect: 274, 622, 286, 631 ActionDest: 515 Annotation: Subtype: Link Rect: 335, 622, 347, 631 ActionDest: 515 Annotation: Subtype: Link Rect: 420, 597, 432, 606 ActionDest: 515 Annotation: Subtype: Link Rect: 332, 559, 344, 568 ActionDest: 515 Annotation: Subtype: Link Rect: 285, 534, 297, 543 ActionDest: 508 Annotation: Subtype: Link Rect: 296, 509, 303, 518 ActionDest: 508 Annotation: Subtype: Link Rect: 385, 509, 392, 518 ActionDest: 508 Annotation: Subtype: Link Rect: 273, 168, 280, 180 ActionDest: 124 Annotation: Subtype: Link Rect: 378, 155, 385, 167 ActionDest: 124 Annotation: Subtype: Link Rect: 191, 145, 203, 154 ActionDest: 515 Page: Sequence: 7 Annotations: Annotation: Subtype: Link Rect: 371, 537, 378, 549 ActionDest: 124 Page: Sequence: 8 Annotations: Annotation: Subtype: Link Rect: 518, 720, 525, 732 ActionDest: 161 Annotation: Subtype: Link Rect: 367, 278, 379, 287 ActionDest: 515 Annotation: Subtype: Link Rect: 447, 279, 459, 287 ActionDest: 515 Annotation: Subtype: Link Rect: 468, 175, 475, 187 ActionDest: 188 Annotation: Subtype: Link Rect: 212, 138, 226, 150 ActionDest: 68 Page: Sequence: 9 Annotations: Annotation: Subtype: Link Rect: 401, 222, 408, 234 ActionDest: 209 Page: Sequence: 10 Annotations: Annotation: Subtype: Link Rect: 415, 450, 422, 462 ActionDest: 209 Annotation: Subtype: Link Rect: 357, 399, 364, 411 ActionDest: 209 Annotation: Subtype: Link Rect: 256, 59, 270, 69 ActionDest: 65 Page: Sequence: 11 Annotations: Annotation: Subtype: Link Rect: 214, 734, 221, 745 ActionDest: 212 Annotation: Subtype: Link Rect: 520, 595, 527, 607 ActionDest: 188 Annotation: Subtype: Link Rect: 296, 582, 303, 594 ActionDest: 212 Annotation: Subtype: Link Rect: 319, 532, 326, 544 ActionDest: 216 Page: Sequence: 12 Annotations: Annotation: Subtype: Link Rect: 217, 490, 224, 502 ActionDest: 216 Annotation: Subtype: Link Rect: 551, 490, 557, 502 ActionDest: 212 Page: Sequence: 13 Annotations: Annotation: Subtype: Link Rect: 353, 708, 360, 720 ActionDest: 212 Annotation: Subtype: Link Rect: 550, 683, 557, 695 ActionDest: 247 Annotation: Subtype: Link Rect: 327, 174, 333, 186 ActionDest: 266 Page: Sequence: 14 Annotations: Annotation: Subtype: Link Rect: 316, 560, 323, 572 ActionDest: 266 Annotation: Subtype: Link Rect: 478, 362, 485, 374 ActionDest: 266 Page: Sequence: 15 Annotations: Annotation: Subtype: Link Rect: 198, 557, 210, 569 ActionDest: 285 Annotation: Subtype: Link Rect: 414, 544, 426, 556 ActionDest: 285 Page: Sequence: 16 Annotations: Annotation: Subtype: Link Rect: 545, 484, 552, 493 ActionDest: 508 Annotation: Subtype: Link Rect: 295, 447, 307, 455 ActionDest: 508 Annotation: Subtype: Link Rect: 408, 431, 420, 443 ActionDest: 316 Annotation: Subtype: Link Rect: 196, 321, 202, 330 ActionDest: 508 Page: Sequence: 17 Annotations: Annotation: Subtype: Link Rect: 199, 720, 211, 732 ActionDest: 337 Annotation: Subtype: Link Rect: 493, 419, 505, 431 ActionDest: 337 Annotation: Subtype: Link Rect: 278, 321, 285, 330 ActionDest: 508 Annotation: Subtype: Link Rect: 527, 121, 539, 133 ActionDest: 396 Page: Sequence: 18 Annotations: Annotation: Subtype: Link Rect: 405, 555, 412, 564 ActionDest: 508 Annotation: Subtype: Link Rect: 531, 502, 543, 515 ActionDest: 396 Annotation: Subtype: Link Rect: 479, 57, 491, 69 ActionDest: 447 Page: Sequence: 19 Annotations: Annotation: Subtype: Link Rect: 363, 463, 375, 475 ActionDest: 447 Page: Sequence: 20 Annotations: Annotation: Subtype: Link Rect: 458, 384, 470, 393 ActionDest: 508 Annotation: Subtype: Link Rect: 196, 334, 202, 343 ActionDest: 508 Annotation: Subtype: Link Rect: 437, 284, 444, 293 ActionDest: 508 Annotation: Subtype: Link Rect: 542, 108, 554, 117 ActionDest: 508 Page: Sequence: 21 Annotations: Annotation: Subtype: Link Rect: 402, 698, 409, 707 ActionDest: 508 Annotation: Subtype: Link Rect: 329, 496, 336, 505 ActionDest: 508 Annotation: Subtype: Link Rect: 485, 483, 492, 492 ActionDest: 508 Annotation: Subtype: Link Rect: 548, 383, 555, 392 ActionDest: 508 Annotation: Subtype: Link Rect: 275, 370, 287, 379 ActionDest: 508 Annotation: Subtype: Link Rect: 417, 370, 429, 379 ActionDest: 508 Annotation: Subtype: Link Rect: 543, 370, 555, 379 ActionDest: 508 Annotation: Subtype: Link Rect: 323, 358, 335, 367 ActionDest: 508 Annotation: Subtype: Link Rect: 360, 295, 367, 304 ActionDest: 508 Annotation: Subtype: Link Rect: 442, 295, 454, 304 ActionDest: 508 Annotation: Subtype: Link Rect: 540, 295, 552, 304 ActionDest: 508 Annotation: Subtype: Link Rect: 316, 207, 323, 216 ActionDest: 508 Annotation: Subtype: Link Rect: 388, 106, 400, 115 ActionDest: 515 Annotation: Subtype: Link Rect: 400, 106, 412, 115 ActionDest: 515 Page: Sequence: 22 Annotations: Annotation: Subtype: Link Rect: 191, 685, 198, 694 ActionDest: 508 Annotation: Subtype: Link Rect: 258, 535, 265, 544 ActionDest: 508 Annotation: Subtype: Link Rect: 266, 535, 278, 544 ActionDest: 515 Annotation: Subtype: Link Rect: 334, 472, 346, 481 ActionDest: 515 Page: Sequence: 23 Annotations: Annotation: Subtype: Link Rect: 59, 708, 96, 718 Annotation: Subtype: Link Rect: 95, 673, 133, 684 Annotation: Subtype: Link Rect: 281, 523, 318, 534 Annotation: Subtype: Link Rect: 59, 501, 96, 511 Annotation: Subtype: Link Rect: 140, 466, 177, 476 Annotation: Subtype: Link Rect: 252, 443, 289, 453 Annotation: Subtype: Link Rect: 309, 420, 346, 430 Annotation: Subtype: Link Rect: 205, 396, 242, 407 Annotation: Subtype: Link Rect: 447, 385, 485, 396 Annotation: Subtype: Link Rect: 478, 373, 515, 384 Annotation: Subtype: Link Rect: 443, 350, 480, 361 Annotation: Subtype: Link Rect: 86, 248, 124, 258 Annotation: Subtype: Link Rect: 59, 225, 96, 235 Annotation: Subtype: Link Rect: 484, 155, 521, 166 Annotation: Subtype: Link Rect: 447, 132, 484, 143 Annotation: Subtype: Link Rect: 365, 109, 403, 120 Annotation: Subtype: Link Rect: 237, 63, 274, 74 Page: Sequence: 24 Annotations: Annotation: Subtype: Link Rect: 198, 699, 236, 710 Annotation: Subtype: Link Rect: 281, 664, 318, 675 Annotation: Subtype: Link Rect: 86, 642, 124, 652 Annotation: Subtype: Link Rect: 130, 642, 166, 652 Annotation: Subtype: Link Rect: 341, 618, 379, 629 Annotation: Subtype: Link Rect: 180, 596, 217, 606 Checksum: 544fd282 Type: CRC32 Checksum: 216b3f2804b29193f290af551330d094 Type: MD5 Checksum: 44f49a97a7c76baa483979534039f6d4b6960e9e Type: SHA-1