2013 Conference Proceedings - University of Nevada, Las Vegas

Figure 1: Limit Computation TreeIllustrationsWe now demonstrate how problems identified previously in the paper can be resolved byusing the methods proposed in the last section. Regarding the “answers only” problem and theproposed solution for it, MML may set up a framework depicted in Figure 2(a) where studentstype the result of applying a certain limit property in the “Computation Steps” field and the nameof that property in the “Properties Used” field, and click the “Next Step” button to try to proceed.If the contents in both fields are correct, then clicking the “Next Step” button will generate a newrow with these two fields below the current row to allow students to continue the work;otherwise, this clicking action will generate an error message alerting what has gone wrong. Theincorrect computation and the correct computation discussed earlier in the second section shouldbe caught and approved by MML as shown in Figures 2(b) and 2(c), respectively.For the algebraic expression structure problem and the proposed solution for it (LimitComputation Tree), MML may devise a page similar to Figure 3(a) where the limit computationproblem can be entered. Figures 3(b) through 3(h) demonstrate the stages of the construction ofthe limit computation tree forwhen it is entered in Figure 3(a).Proceedings of the 40 th Annual Meeting of the Research Council on Mathematics Learning 2013 139