for the learning of mathematics   vol. 32 num. 1 (2012) an international journal of mathematics education

Boris Koichu   Enhancing an intellectual need for defining and proving: a case of impossible objects ABSTRACT 2 Dor Abrahamson   Discovery reconceived: product before process ABSTRACT 8 Tim Rowland   Contrasting knowledge for elementary and secondary mathematics teaching ABSTRACT 16 Rina Zazkis and Ami Mamolo   Continuing conversations towards the horizon 22 Mercedes García and Victoria Sánchez   Thinking about a mathematics for mathematics teachers 23 Ilana Seidel Horn   Teacher discourse and the construction of school mathematics 25 Alexandre Pais, Elsa Fernandes, João Filipe Matos and Ana Sofia Alves   Recovering the meaning of "critique" in critical mathematics education ABSTRACT 28 Mary Beisiegel and Elaine Simmt   Formation of mathematics graduate students' mathematician-as-teacher identity ABSTRACT 34

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