Abramovich - SergeiAbramovich SUNYPotsdam Abstract .

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Discovering New Knowledge  in the Context of Education:  Examples from Mathematics.  Sergei Abramovich SUNY Potsdam
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Abstract This presentation will reflect on a number of mathematics education courses taught by  the author to prospective K-12 teachers. It will highlight the potential of technology- enhanced educational contexts in discovering new mathematical knowledge by  revisiting familiar concepts and models within the framework of “hidden mathematics  curriculum.” Situated addition, unit fractions, and Fibonacci numbers will motivate the  presentation leading to a mathematical frontier.  
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Conference Board of the Mathematical Sciences. 2001. The Mathematical Education of Teachers Washington, D. C.: MAA. Mathematics Curriculum and Instruction for Prospective  Teachers. Recommendation 1. Prospective teachers  need mathematics courses that develop  deep understanding of mathematics  they will teach (p.7).               
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Hidden mathematics  curriculum A didactic space for the learning of  mathematics where seemingly  unrelated concepts emerge to become  intrinsically connected by a common  thread. Technological tools allow for the  development of entries into this space  for prospective teachers of mathematics
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Example 1. Find ways to add consecutive numbers in order to reach sums between 1 and 15. Van de Walle, J. A. 2001. Elementary and Middle School Mathematics (4 th edition) , p. 66.
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