Child Development and Pedagogy · Pedagogy

A teacher poses the following algebra problem to her class: "Does the graph x = y2 ever intersect the graph of x = y2 + 2? What are the different ways you would use to test your conjecture? Would your conjecture hold true for other equations of the form x = y2 + b?" Which of the statement/statements is/are correct in this context? (a) One of the learning outcomes of posing this question is comparison and analysis of quadratic equations. (b) Teacher should focus only on getting the final solution that the two graphs will not intersect. (c) The teacher can effectively assess the reasoning skills of students. (d) Such open-ended questions confuse students and should be discouraged. Choose the correct option: