1. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Vectors and Transformations Corinne Manogue Tevian Dray http://physics.oregonstate.edu/portfolioswiki

2. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA

3. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Representations Write down on your whiteboard a representation of a vector.

4. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA What Are Vectors? Mathematics: Triples of numbers Physics: Arrows in space

5. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Dot Product Write down on you whiteboard something that you know about the dot product.

6. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Group Activity Emphasizes that vectors are arrows Combines geometry and algebra Uses multiple representations geometry: algebra: memory:

7. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Sample Group Activity Find the angle between a diagonal of a cube and an edge

8. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Sample Group Activity

9. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Grid On your whiteboard, make a grid like this. We will draw a vector on your grid.....

10. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA For each of the points on your grid: Draw the position vector Calculate Connect the points for which is a constant.

11. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Describe

12. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Describe

13. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Describe

14. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA The Future Instructor:…How do you imagine your future careers to be? S2:Kind of like this class, I think, is what I imagine my future career to be if it’s research or something Because you’re not given a set homework or list of things to do And honestly this class probably prepares me a lot more for my job than a rote memory, like a strictly lecture type of class because my life is not going to be a lecture and my like work I take home with me is not going to be homework In strictly the sense that you pull it out of a book to get the answer (?) Let’s turn to page 675, here the answer really is It’s like you’re exploring things And you’re trying to find the answer using whatever method you have And if that method is like “oh I’ll use angle (?) to find like whatever the graph is supposed to be like” and “Oh we have to take it out to the 100th term to see like “Oh it really does (?) this graph” and that’s just the way it’s going to be.

15. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Flux Maple Worksheet Initially, define the location of the point charge to be at the origin of a rectangular coordinate system: > Point:=[0,0,0]; > a:=Point[1];b:=Point[2];c:=Point[3]; Find the electric field of the point charge: > r:=sqrt((x-a)^2+(y-b)^2+(z-c)^2); > Efield:=(q/(4*Pi*epsilon))*grad(-1/r,[x,y,z]);

16. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Flux Maple Worksheet

17. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Plane Wave Activity Students connect points with equal value of What is

18. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Plane Wave Representations

19. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Multiple Representations Write on your small white board something about dot products.

20. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Small White Board Questions Allow the instructor to see if everyone is on the same page. “Quiet” members of the class are encouraged to participate. Students vie to have their answers chosen. Keep everyone engaged and awake

21. 5 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Large Whiteboards Provide the opportunity: –to compare and contrast answers, –for mini-presentations, –to discuss problem-solving strategies, synthesis, evaluation, decision-making, etc.