MTE 494 10 14 09 Homework Assignment Due on 10 19 10 21 1 Following your experience with GSP in the lab sessions and on your own 1 recreate the A Frame Barn GSP sketch with all the features shown in the picture below Your GSP document should contain at least 2 pages with each of a and b appearing on separate pages Use the usual file naming convention and email your file to me by 10 21 a Construct your diagram of the barn so that the figure itself does not move around freely and only point A can be dragged along the line segment representing the left hand part of the barn s roof b Use GSP s graphing utility to create a graph showing the functional relationship between the barn s volume and its width Your graph must include the following features a point on the graph that can be dragged freely along the curve the rectangular coordinates of this point displayed as line segments along the coordinate axes action buttons that hide and show these line segments one at a time and simultaneously dynamic axis labels that show the value of the length of these segments changing as the free point is dragged along the curve a table of values of the point s rectangular coordinates an appropriate title describing what the graph depicts 1 See this site for GSP user resources http www dynamicgeometry com 1 MTE 494 10 14 09 2 Read Chapter 3 of Chazan s book Beyond Formulas in Mathematics Teaching and come prepared to discuss it in class on 10 19 In addition answer the following questions a Chazan describes a Relationship Between Quantities Approach to the subject of school algebra Describe what Chazan means by such an approach by citing and characterizing some of its core features and foci in terms of what he envisions having students understand How does this approach contrast with a traditional one b In the second paragraph on page 77 Chazan says my main interest here is in the relationship between teachers understanding of school subject matter the teaching they do and their preparation to tackle questions of students motivation In pages 78 84 Chazan develops an analysis of a typical time distance rate problem often seen in a school algebra course i e the submarine problem How are these two related That is what does Chazan s statement on p 77 have to do with what he outlines on pp 78 84 Note answering b insightfully will likely entail careful reflection on the nature and substance of Chazan s analysis Submit your written reponses to these questions by 10 am on 10 19 Try to be concise and to the point but not at the expense of substance As a rough guideline aim for about 3 pages 12 point font and 1 5 line spacing 2
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