Klein E.J. Neurocognitive foundations of mental arithmetic - bridging the gap between cognitive functions, neural correlates and anatomical connections (Tubingen, 2012). - ОГЛАВЛЕНИЕ / CONTENTS

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ОбложкаKlein E.J. Neurocognitive foundations of mental arithmetic - bridging the gap between cognitive functions, neural correlates and anatomical connections: Diss. … Dr. rer. nat. - Tubingen: Eberhard-Karls Universitat, 2012. - 245 p.: ill. - Res. also Germ. - Bibliogr.: p.213-217.
 

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Оглавление / Contents
 
GENERAL INTRODUCTION ........................................... 11
   The Triple Code Model of numerical cognition ................ 12
   Research questions driving the studies enclosed ............. 13
      Section 1: Basic number processing ....................... 13
      Section 2: Complex number processing on the example of
                 mental addition ............................... 14
      Section 3: Number processing on the example of 
                 multiplication ................................ 18
      Section 4: Connections of number magnitude processing
                 and fact retrieval ............................ 19
SECTION 1: BASIC NUMBER PROCESSING ............................. 20
   Study 1: On the neuro-cognitive foundations of basic 
      auditory number processing ............................... 21
      BACKGROUND ............................................... 22
      METHODS .................................................. 27
      DISCUSSION ............................................... 36
      REFERENCES ............................................... 42
SECTION 2: COMPLEX NUMBER PROCESSING FOR MENTAL ADDITION ....... 46
   Study 2: To carry or not to carry - is this the question?
      Disentangling the carry effect in multi-digit addition ... 47
      INTRODUCTION ............................................. 48
      METHODS .................................................. 55
      RESULTS .................................................. 57
      DISCUSSION ............................................... 60
      References ............................................... 67
      Appendix A ............................................... 70
      Appendix В ............................................... 72
      Appendix C ............................................... 73
   Study 3: Three processes underlying the carry effect in
      addition - Evidence from eye-tracking .................... 75
      INTRODUCTION ............................................. 76
      METHOD ................................................... 81
      RESULTS .................................................. 83
      DISCUSSION ............................................... 95
      REFERENCES .............................................. 101
   Study 4: (No) small adults - Children's processing of 
      carry addition problems ................................. 105
      INTRODUCTION ............................................ 106
      METHODS ................................................. 110
      RESULTS ................................................. 114
      DISCUSSION .............................................. 118
      REFERENCES .............................................. 125
   Study 5: Categorical and continuous - disentangling the
      neural correlates of the carry effect in multi-digit 
      addition ................................................ 129
      INTRODUCTION ............................................ 130
      METHODS ................................................. 132
      RESULTS ................................................. 136
      DISCUSSION .............................................. 147
      REFERENCES .............................................. 154
      Appendix A .............................................. 159
SECTION 3: NUMBER PROCESSING FOR MULTIPLICATION ............... 160
   Study 6: Rehabilitation of arithmetic fact retrieval via 
      extensive practice: A combined fMRI and behavioural
      case-study .............................................. 161
      INTRODUCTION ............................................ 162
      CASE DESCRIPTION ........................................ 166
      EXPERIMENTAL INVESTIGATION .............................. 170
      RESULTS ................................................. 171
      DISCUSSION .............................................. 176
      REFERENCES .............................................. 181
SECTION 4: CONNECTIONS OF NUMBER MAGNITUDE PROCESSING AND 
   FACT RETRIEVAL ............................................. 185
   Study 7: Dorsal and ventral processing in mental 
      arithmetic .............................................. 186
      INTRODUCTION ............................................ 187
      MATERIALS AND METHODS ................................... 193
      DISCUSSION .............................................. 205
      REFERENCES .............................................. 213
GENERAL DISCUSSION ............................................ 218
   Integration of the individual studies in terms of the 
   Triple Code model (TCM) .................................... 218
      Section 1: Basic number processing ...................... 218
      Section 2: Complex number processing on the example of 
                 mental addition .............................. 219
      Section 3: Number processing on the example of 
                 multiplication ............................... 221
   A recommended update for the Triple-Code model (TCM) ....... 222
      Magnitude related processing ............................ 224
      Verbally mediated fact retrieval processes .............. 227
      Interplay between both networks ......................... 229
   Future directions .......................................... 233
REFERENCES .................................................... 238
DANKSAGUNG .................................................... 244
ERKLÄRUNG ..................................................... 246


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