That is, the goal of reflections is to improve the quality of teaching “by reconstructing on a higher level what existed on a lower level the higher level is always a wider, more all-embracing field, so that when one reflects onto a higher level, it is incumbent upon one to enrich it with new elements” (p. Both physical and digital tools are essential components of students’ mathematics learning experience, assist them in mathematising and enhance didactising by the instructor. Nowadays, mathematical constructs that affect one’s mathematical thinking are provided by the various tools of technology. 65) and emphasize the “pivotal role of reflections in mathematising and didactising” (p. 2), attest that schoolteachers’ experience of learning mathematics “becomes grist for reflection” (p. Mathematics education researchers investigate mathematical thinking “through reflection on the status of mathematical constructs” (p. However, in the context of this paper, presumed subjectivity of the reflections by the author is balanced by referring to students’ reflective thinking which, due to its diversity, is less subjective and, most importantly, “impels to inquiry” (p. In that sense, reflections on action rooted in personal teaching experience as mentioned by Artigue in (p. From the position of educational psychology, writing a reflective paper represents an attempt to move “from action to the representation of the action-that is, from just being able to do something to thinking about the doing of that thing” (p. The importance of reflection was emphasized by John Dewey who, as a philosopher of education, saw in this type of thinking “not simply a sequence of ideas, but a con-sequence-a consecutive ordering in such a way that each determines the next as its proper outcome, while each outcome in turn leans back on, or refers to, its predecessor” (p. The goal of this paper is to reflect on the use of Wolfram Alpha-a computational knowledge engine developed by Wolfram Research-with teacher candidates enrolled in elementary mathematics education courses taught by the author.

Wolfram alpha discrete math