Lecture with Power (point)

1. Lecture with Power(point) Teaching Mathin the 21st Century Dr. Steve ArmstrongLeTourneau UniversityLongview, TX www.letu.edu/people/stevearmstrong SteveArmstrong@letu.edu

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

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

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

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

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

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

8. NaysayersEdward 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?

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

10. ResponseDoug 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?

11. 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"

12. I bet I could use my notebook of lectures Creating a Lesson • Make the textbookwriters earn theirkeep • What do theyneed to see andhear? • Story board your lesson

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

14. Creating a Lesson • Let's practice

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

16. This is Really Mean

17. Creating a Lesson • Gone are the days of hand written formulas • This one looksisosceles also

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

19. Creating a Lesson • A great host of information on the web • Google it!

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

21. Slopes and Equations of Lines Lesson 1.1 Sample Lesson

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

23. x-intercept 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 y-intercept

24. 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)

25. Equations of a Line • Slope-Intercept Form • Point-Slope Form

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

27. 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 thelist

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

29. Parallel and Perpendicular Lines • Parallel lines have the same slope • Perpendicular lines haveslopes that are negativereciprocals • Graph these to verify, use Zoom-Square

30. 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 2nd year, $63,000 in 5th year. Let y be the sales for the xth 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

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

32. Tips • Use it as a tool to make math compelling. • Keep it simple • Transitions • Object appearances • Minimize details in slides. • Don't parrot PowerPoint. • 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.

33. Tips • Give it a rest.

36. Tips • Give it a rest. • Use vibrant colors. • Import other images and graphics. • Distribute handouts • Edit ruthlessly febore presenting

37. Lecture with Power(point) Teaching Mathin the 21st Century Dr. Steve ArmstrongLeTourneau UniversityLongview, TX www.letu.edu/people/stevearmstrong SteveArmstrong@letu.edu

38. Lecture with Power(point) Teaching Mathin the 21st Century Dr. Steve ArmstrongLeTourneau UniversityLongview, TX www.letu.edu/people/stevearmstrong SteveArmstrong@letu.edu