Vol. 40 Num. 1 (2020) - front cover0 Elena Polotskaia Regards croisés sur l’apprentissage des mathématiques : TSD et TID RÉSUMÉ 2 Elena Polotskaia Intersecting views on learning mathematics: TDS and TDI (online only)8 Ana Carolina Faustino ,  Ole Skovsmose Dialogic and non-dialogic acts in learning mathematics RÉSUMÉ 9 Andrea Maffia ,  Cristina Sabena On the mathematics teacher’s use of gesture as pivot signs in semiotic chains RÉSUMÉ 15 Alon Pinto ,  Ronnie Karsenty Norms of proof in different pedagogical contexts RÉSUMÉ 22 Megan Staples ,  Kristin Lesseig Advancing a teacher-centered perspective on support-for-claims terminology RÉSUMÉ 28 Sfiso Cebolenkosi Mahlaba Communication: Do not fall into the same trap I nearly did: experiences of a mathematics education PhD student researching the triangle proportionality theorem36 Veselin Jungic ,  Xiaoheng Yan Communication: Cardinals vs. ordinals: which come first?38 From the archives Communication: From the archives41 Aditya P. Adiredja ,  Nicole Louie Untangling the web of deficit discourses in mathematics education RÉSUMÉ 42 Ole Skovsmose Three narratives about mathematics education RÉSUMÉ 47 - Contributors52