A question is open when it is framed in such a way that a variety of responses or approaches are possible. You can often transform a traditional closed question into an open question by giving the answer and asking students to supply examples that satisfy the answer.
Consider the following questions:
- Find the mean of 5, 11, 7 and 1.
- I have four numbers with an average of 6. What might the numbers be?
- What kinds of responses might each of the questions yield?
- What might the students learn from answering each question?
- What might the teacher learn from how the students answer each question?
Is there a way hover over the above questions to show answers?
Fix the functions table below
Here are some more examples:
|What is the slope of y = 2x + 4?||A linear function has a slope of 2, |
what might its equation be?
|Is this a graph of an increasing or decreasing function?||Draw several examples of increasing and |
How can you tell which is which?
|Find and label the x and y intercepts on the graph.||A function has an x intercept of 2, what might the equation be? Show the graph for some of your examples?|