2013 Conference Proceedings - University of Nevada, Las Vegas

Specifically, clicking the “Click to See the Computation Tree Step by Step” button in Figure3(a) leads to Figure 3(b); clicking the node containingin Figure 3(b) leads toFigure 3(c) which denotes that the Product Property has been applied toand(a) MML Setting for LimitComputation(c) Correct Computation Confirmed.(b) Wrong Computation Caught.Figure 2: “111” Limit Computation on MML.the result is ; clicking the node containing in Figure 3(c)leads to Figure 3(d) which shows that has been resolved to 0. Once all sub-limitcomputations are resolved (to numbers), a button showing “Click to See Final Answer” willappear on the page (see Figure 3(g)) and clicking this button will produce the final answer (seeFigure 3(h)). As we can see in Figure 3(e), the lower is not connected to the upperand cannot operate with the upper , thus preventing the student error shown inthe previous section from occurring here.Related Literature, Theoretic Framework, and DiscussionAs we have seen, MML’s “answers only” situation needs to be changed. This is also evidentfrom the research in mathematics education and pedagogy. For example, Idris (2009, p.36)stated that “learning currently no longer emphasizes correctness of the final answer but hasshifted to emphasizing process, context, and understanding.” Besides the algebraic workembedded in these limit computations, the notion and notation of limit itself may also contributeto the students’ mistakes as limit is a typically formidable task for students to grasp (Davis andProceedings of the 40 th Annual Meeting of the Research Council on Mathematics Learning 2013 140