Mathematics · Mathematics 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 following statements is/are correct in the given context? (a) One of the learning outcomes of posing this question is comparison and analysis of quadratic relations. (b) The teacher should focus only on getting the solution that the two graphs will not intersect. (c) The teacher can assess the reasoning skills of students. (d) Such questions confuse the students and hence should be discouraged in a mathematics classroom. Choose the correct option: