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| front cover
| 0 |
Brent Davis , 
Florence Glanfield , 
Jennifer S. Thom , 
Jo Towers |
| Inventising the Pirie-Kieren Theory
| 2 |
Susan Pirie , 
Thomas Kieren |
| A recursive theory of mathematical understanding [1]
| 6 |
Lyndon C. Martin , 
Jo Towers |
| How does theory grow?
| 11 |
Robyn Ruttenberg-Rozen , 
Juuso Henrik Nieminen |
| A story about mathematics difficulty, tools, and making growth visible
| 16 |
Tina Rapke , 
Marc Husband , 
Cristina de Simone |
| Utilizing moving mental imagery for the growth of mathematical understanding in arithmetic
| 22 |
Marc Husband |
| Using the Pirie-Kieren Theory to design mathematics learning experiences for prospective elementary teachers
| 24 |
Jesús Gallardo Romero , 
VerĂ³nica A. Quintanilla |
| On interpretation of understanding in mathematics: beyond fragility
| 27 |
Lois George , 
Chronoula Voutsina |
| Elaborating the "Don't need boundaries" element of the Pirie-Kieren Theory
| 35 |
Susan Staats |
| Poetics, autopoiesis, and the speaking body
| 42 |
Xiangquan Yao |
| Extending the Pirie-Kieren Theory in dynamic geometry environments
| 48 |
Jennifer S. Thom , 
Florence Glanfield |
| Small story, big changes
| 54 |
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| Contributors
| 61 |