2. Lecture with Power (point) Teaching Math in the 21 st Century Dr. Steve Armstrong LeTourneau University Longview, TX www.letu.edu/people/stevearmstrong SteveArmstrong@letu.edu

3. Lesson Plans and Lectures Written on a scrap of paper Ink on your hands Chalk on your hands

4. Problems "By definition this is an isosceles triangle." "Then a miracle occurs" "Let's all write this down"

5. Advantages of Presentation Software It looks like an isosceles triangle No more, "What is the second line?" A B C a b c

6. Advantages of Presentation Software Animation Consider the position of an object as a function of time The x coordinate is a function of time x = f(t) The y coordinate is a function of time y = g(t) time 0

7. Advantages of Presentation Software Animation Why is the area of the yellow rectangle at the end = a b

8. Advantages of Presentation Software Have slides, will lecture "I'm ready for you to teach me what I missed when I was absent yesterday"

9. Naysayers Edward Tufte, in Wired Article 11/9/2003 PowerPoint is evil and corrupts communication Students who use PowerPoint would do better to learn to write sentences and paragraphs Multiple slides stack information in time – results in loss of meaning, perceived relationships Agree or disagree?

10. Nay Sayers According to Tufte this is a "good" slide. "Bad" slides. Agree or disagree?

11. Response Doug Johnson, 11/1/2005 Column from Education World PowerPoint doesn't bore people: people bore people. Choosing the wrong tool for the job is not the tool's fault. The same hammer can both break windows and build cathedrals. Good visuals can be exceptionally powerful – many of us are visual learners Agree or disagree?

12. Response Our purposes are … Communicate concepts Attract students' attention, interest Use text, formulas, graphics, tables Our purposes do not include... "Memorize these slides by Tuesday" "Follow along in your book" "Read together with me" Length on land Length underwaterCost on land Cost underwaterTotal Cost 02353.72$0.00$35,305.81 502304.89$500.00$34,573.29$35,073.29 1002256.10$1,000.00$33,841.54$34,841.54 1502207.37$1,500.00$33,110.61$34,610.61 2002158.70$2,000.00$32,380.55$34,380.55

13. Creating a Lesson Make the textbook writers earn their keep What do they need to see and hear? Story board your lesson I bet I could use my notebook of lectures

14. Creating a Lesson Use a "hook" I think I see the "rule."

15. Creating a Lesson Let's practice

16. The Mean Value Theorem Lesson 4.2 I wonder how mean this theorem really is? Math can be a laughing matter!

17. This is Really Mean

18. Creating a Lesson Gone are the days of hand written formulas This one looks isosceles also

19. Creating a Lesson Where to lay cable for minimum cost A famous min-max problem in calculus Link to Excel spreadsheets for illustrationsLink to Excel

20. Creating a Lesson A great host of information on the webon the web Google it!

21. Accompanying Handout Student participation Not too little Not too much Like Goldilocks, just right

22. Slopes and Equations of Lines Lesson 1.1

23. The Plot Thickens We plot ordered pairs (x-coord, y-coord) Where would we plot (4, -2)? (2, 1) (-1, -3) (-5, 1)

24. Line 'em Up A line is a collection of points When the x-coordinate is zero it intercepts the y-axis When the y-coordinate is zero, it intercepts the x-axis x-intercept y-intercept

25. Slope of a Line Represents the "steepness" of a line Measured by the change in the y-value divided by the change in the x-value (-3, 2) (3, 0)

26. Equations of a Line Slope-Intercept Form Point-Slope Form

27. Horizontal, Vertical Lines Horizontal lines y = 12 Note: slope is 0 Vertical lines x = 7 Note: slope is infinite, or "no slope"

28. Graphing Lines on the TI Calculator We wish to graph the equation Go to the Y= screen – use ♦W or ♦F1 Enter the function on the entry line It appears in the list

29. Graphing Lines on the TI Calculator Now specify the standard zoom F2 and 6 Function will graph on axes

30. Parallel and Perpendicular Lines Parallel lines have the same slope Perpendicular lines have slopes that are negative reciprocals Graph these to verify, use Zoom-Square

31. Try It Out Find the equation of a line through (2, -5) and parallel to y = 2x + 4 Find the equation of a line with x-intercept of -2/3 and perpendicular to 2x – 3y = 5 A business has sales of $27,000 in its 2 nd year, $63,000 in 5 th year. Let y be the sales for the x th year. Assume the data can be approximated by a st. line. Determine an equation for the sales Use your answer to find out how many hears until sales surpass $100,000

32. Assignment Lesson 1.1 Page 15 Exercises 1 – 59 EOO, 61, 71, 75

33. Tips 1.Use it as a tool to make math compelling. 2.Keep it simple Transitions Object appearances 3.Minimize details in slides. 4.Don't parrot PowerPoint. 5.Don't talk on top of your slides. Don't parrot PowerPoint PowerPoint's lure is the capacity to convey ideas and support a speaker's remarks in a concise manner. That's hard to do through a haze of numbers and statistics. For the most part, most effective PowerPoint displays don't overwhelm viewers with too many figures and numbers. Instead, leave those for a later, more thorough digestion in handouts distributed at presentation's end. If you want to emphasize a statistic in PowerPoint, consider using a graphic or image to convey the point. "For instance, when I once was talking about the prevalence of Alzheimer's patients, I used a photograph of an old woman rather than just throwing up a number on the screen," Kerr says.

34. Tips 6.Give it a rest.

37. Tips 6.Give it a rest. 7.Use vibrant colors. 8.Import other images and graphics. 9.Distribute handouts 10. Edit ruthlessly febore presenting

38. Lecture with Power (point) Teaching Math in the 21 st Century Dr. Steve Armstrong LeTourneau University Longview, TX www.letu.edu/people/stevearmstrong SteveArmstrong@letu.edu

39. Lecture with Power (point) Teaching Math in the 21 st Century Dr. Steve Armstrong LeTourneau University Longview, TX www.letu.edu/people/stevearmstrong SteveArmstrong@letu.edu