for the learning of mathematics

an international journal of mathematics education

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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