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The influence of the place-value structure of the Arabic number ...

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APPENDIX A<br />

Stimulus properties <strong>of</strong> <strong>the</strong> used item set<br />

Small problem size<br />

Large problem size<br />

Non-carry Carry Non-carry Carry<br />

Summand 1 9.92 10.38 41.29 38.46<br />

Summand 2 10.42 10.29 41.58 43.21<br />

Problem size categorical 1 1 2 2<br />

Carry yes/no 0 1 0 1<br />

Correct sum (= problem size) 20.33 20.67 82.88 81.67<br />

log correct sum 1.28 1.29 1.92 1.91<br />

Decade sum 1.25 0.75 7.58 6.83<br />

Unit sum 7.83 13.17 7.04 13.33<br />

Smaller summand left 0.50 0.50 0.50 0.50<br />

Parity summand 1 1.67 1.29 1.46 1.46<br />

Parity summand 2 1.33 1.46 1.42 1.46<br />

Parity correct sum 1.25 1.33 1.38 1.33<br />

5 in unit position <strong>of</strong> summand 1 0.17 0.17 0.17 0.17<br />

5 in unit position <strong>of</strong> summand 2 0.17 0.17 0.17 0.17<br />

5 in unit position <strong>of</strong> correct sum 0.08 0.08 0.08 0.08<br />

5 in decade position <strong>of</strong> summand 1 0.00 0.00 0.04 0.04<br />

5 in decade position <strong>of</strong> summand 2 0.00 0.00 0.04 0.04<br />

5 in decade position <strong>of</strong> correct sum 0.00 0.00 0.00 0.00<br />

Decade <strong>of</strong> summand 1 0.58 0.38 3.75 3.21<br />

Decade <strong>of</strong> summand 2 0.67 0.38 3.83 3.63<br />

Unit <strong>of</strong> summand 1 4.08 6.63 3.79 6.38<br />

Unit <strong>of</strong> summand 2 3.75 6.54 3.25 6.96<br />

Decade <strong>of</strong> correct sum 1.25 1.75 7.58 7.83<br />

Unit <strong>of</strong> correct sum 7.83 3.17 7.04 3.33<br />

Incorrect solution probe (distractor) 22.00 22.33 84.54 83.33<br />

log distractor 1.31 1.33 1.92 1.92<br />

Distance between sum/distractor -1.67 -1.67 -1.67 -1.67<br />

Absolute <strong>value</strong> distance<br />

sum/distractor<br />

6.00 6.00 6.00 6.00<br />

Decade crossing sum/distractor 0.50 0.50 0.50 0.50<br />

83

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