| Mathematical problem posing as a link between algorithmic thinking and conceptual knowledge |
| Sergei Abramovich |
Abstract The paper proposes an idea of using problem posing as a link between conceptual and procedural mathematical knowledge. Two levels of conceptual understanding---basic and advanced---have been considered. Examples of the interplay between the two types of knowledge are presented. The paper is informed by the author's work with teacher candidates in different technology-enhanced mathematics education courses.
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Keywords: problem solving; problem posing; technology; conceptual understanding; algorithmic thinking; reflective inquiry. |
Pages: 45$-$60 |
Volume XVIII , Issue 2 , 2015 |
