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| | front cover
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Brent Davis , 
Florence Glanfield , 
Jennifer S. Thom , 
Jo Towers |
| | Inventising the Pirie-Kieren Theory
| 2 |
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Susan Pirie , 
Thomas Kieren |
| | A recursive theory of mathematical understanding [1]
| 6 |
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Lyndon C. Martin , 
Jo Towers |
| | How does theory grow?
| 11 |
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Robyn Ruttenberg-Rozen , 
Juuso Henrik Nieminen |
| | A story about mathematics difficulty, tools, and making growth visible
| 16 |
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Tina Rapke , 
Marc Husband , 
Cristina de Simone |
| | Utilizing moving mental imagery for the growth of mathematical understanding in arithmetic
| 22 |
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Marc Husband |
| | Using the Pirie-Kieren Theory to design mathematics learning experiences for prospective elementary teachers
| 24 |
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Jesús Gallardo Romero , 
VerĂ³nica A. Quintanilla |
| | On interpretation of understanding in mathematics: beyond fragility
| 27 |
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Lois George , 
Chronoula Voutsina |
| | Elaborating the "Don't need boundaries" element of the Pirie-Kieren Theory
| 35 |
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Susan Staats |
| | Poetics, autopoiesis, and the speaking body
| 42 |
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Xiangquan Yao |
| | Extending the Pirie-Kieren Theory in dynamic geometry environments
| 48 |
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Jennifer S. Thom , 
Florence Glanfield |
| | Small story, big changes
| 54 |
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| | Contributors
| 61 |