for the learning of
mathematics
  vol. 41 num. 3 (2021)
an international journal of mathematics education
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 front cover
                         

0
Lisa Lunney Borden ,  Evan Throop-Robinson ,  Ellen Carter ,  Suzanna Prosper
 Sets of, rows of, jumps of: verbing multiplication
ABSTRACT                

2
Paola Ramírez
 Observing how a student becomes coherently aware in mathematics
ABSTRACT                

9
Daniel Edelen ,  Ashley Schmidt ,  Richard Cox ,  Sarah B. Bush
 A closer examination into elementary students’ mathematics discourse: the role of language games
                         

14
Elena Polotskaia ,  Annie Savard ,  Catherine Nadon
 La résolution de problèmes mathématiques et l’art de la représentation
                         

16
Elena Polotskaia ,  Annie Savard ,  Catherine Nadon
 Mathematical problem solving and the art of representation (online only)
                         

19
Omid Khatin-Zadeh ,  Babak Yazdani-Fazlabadi ,  Zahra Eskandari
 The grounding of mathematical concepts through fictive motion, gesture and the motor system
                         

19
Alison Mirin ,  Fabio Augusto Milner ,  Nicholas Wasserman ,  Keith Weber
 On two definitions of ‘function’
                         

22
Tim Rowland
 Mathematics teaching—joy in times of trouble?
ABSTRACT                

25
Roza Leikin ,  Regina Ovodenko
 Stepped tasks for complex problem solving: top-down-structured mathematical activity
ABSTRACT                

30
John Paul Cook ,  Paul Christian Dawkins ,  Zackery Reed
 Explicating interpretations of equivalence in measurement contexts
ABSTRACT                

36
Gila Hanna ,  Xiaoheng Yan
 Opening a discussion on teaching proof with automated theorem provers
ABSTRACT                

42
Paul Ernest
 A dialogue on the deep ethics of mathematics
ABSTRACT                

47
Luis Felipe Prieto-Martínez
 Unsolved problems in plane geometry
ABSTRACT                

53
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 Index to Volume 41
                         

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 Contributors
                         

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