MAKING LINKS BETWEEN ARITHMETIC AND ALGEBRAIC THINKING

References

• Ainley , J. and Pratt , D. 2002 , 'Purpose and utility in pedagogic task design' , in A. D. Cockburn and E. Nardi Proceedings of the 26th Annual Conference of the International Group for the Psychology of Mathematics Education , University of East Anglia , Norwich , vol. 2 , 17 - 24 .
   Google Scholar
• Blanton , M. and Kaput J. 2002 , 'Design principles for tasks that support algebraic thinking in elementary schools' , in A. D. Cockburn and E. Nardi Proceedings of the 26th Annual Conference of the International Group for the Psychology of Mathematics Education , University of East Anglia , Norwich , vol. 2 , 105 - 112 .
   Google Scholar
• Carraher , D. , Schliemann , A. and Brinzuela , B. 2001 , 'Can young students operate on unknowns?' in M. van den Heuvel-Panhuizen Proceedings of the 25th Annual Conference of the International Group for the Psychology of Mathematics Education , University of Utrecht , Utrecht , vol. 1 , 130 - 140 .
   Google Scholar
• Filloy , E. and Rojano , T. 1989 . 'Solving equations: the transition from arithmetic to algebra' . For the Learning of Mathematics , 9 ( 2 ) : 19 – 25 .
   Google Scholar
• Herscovics , N. and Linchevski , L. 1994 . 'A cognitive gap between arithmetic and algebra' . Educational Studies in Mathematics , 27 : 59 – 78 .
   Google Scholar
• Kieran , C. 1996 , 'The changing face of school algebra', in C . Alsina , J. M. Alvares , B. Hodgson , C. Laborde Prez A. ICME 8: Selected Lectures S. A. E. M. 'Thales' , Seville , 271 - 290 .
   Google Scholar
• Slavitt , D. 1999 . 'The role of operation sense in transitions from arithmetic to algebraic thought' . Educational Studies in Mathematics , 37 : 251 – 274 .
   Google Scholar
• Sutherland , R. 1991 . 'Some unanswered research questions on the teaching and learning of algebra' . For the Learning of Mathematics , 11 ( 3 ) : 40 – 46 .
   Google Scholar
• Sutherland , R. 1993 , 'Project AnA - the gap between arithmetic and algebra', Final report to ESRC (R000232132) , Institute of Education, University of London .
   Google Scholar
• Ursini , S. and Trigueros , M. 2001 , 'A model for the uses of variable in elementary algebra' , in M. van den Heuvel-Panhuizen Proceedings of the 25th Annual Conference of the International Group for the Psychology of Mathematics Education , University of Utrecht , Utrecht , vol. 4 , 335 - 342 .
   Google Scholar