Download presentation
Presentation is loading. Please wait.
1
Integrating the Computer and the Calculator in the Statistics Classroom
International Conference on Technology in Collegiate Mathematics Friday, November 5, 1999 Session: S Location: Boardroom IV 8:00 -8:45 AM San Francisco
2
11/1/99
3
Roseanne Hofmann Montgomery County Community College rhofman@mc3.edu
Integrating the Computer and the Calculator in the Statistics Classroom Roseanne Hofmann Montgomery County Community College
4
Students who used the materials
Special Thanks to: MCCC Foundation Dean Brad Gottfried Shayne Clark Wallis Students who used the materials 11/1/99
5
Teaching Talking isn’t 11/1/99
6
Listening isn’t Learning
11/1/99
7
Research encourages teachers to
Use a Constructivist Approach in Teaching. Give up the role of “sage on the stage” to become “guide on the side.” 11/1/99
8
Changes in Teaching Focus
Student Centered Teacher Centered 11/1/99
9
Give a fish and they eat for a day;
teach them to fish and they eat for a lifetime. 11/1/99
10
“Lure” students into Mathematics by getting them to “play” with interesting application problems.
11/1/99
11
Visualization in the broadest sense has always been important in mathematics. Teaching based on visualization requires us to relearn many of our pedagogical skills. 11/1/99
12
Borrowing a term from the business world that uses portable computers
Dock and Teach Borrowing a term from the business world that uses portable computers
13
Purpose of Internal Grant
Use of Notebook Computer in Classroom, Office, and Home Writing of Multimedia modules for Elementary Algebra 11/1/99
14
Use computer for Statistics CD authored by Velleman
Bonus Use computer for PowerPoint presentations supplied by Statistics textbook Use computer for Statistics CD authored by Velleman 11/1/99
15
Hardware - Obvious Projector Portable Computer Connection to Network
TI-83 Plus Calculator 11/1/99
16
Triola PowerPoint Slides
Software Velleman CD disk Triola PowerPoint Slides 11/1/99
17
Cost Concerns Software Textbook Calculator 11/1/99
18
Balance of PowerPoint and Velleman CD Graphics Calculator
Teaching Balance of PowerPoint and Velleman CD Graphics Calculator Group Learning Simulations in Class 11/1/99
19
11/1/99
20
11/1/99
21
11/1/99
22
11/1/99
23
First Day Data Sheet 11/1/99
24
11/1/99
25
11/1/99
26
Grouping Tool 11/1/99
27
Grouping Tool 11/1/99
28
11/1/99
29
11/1/99
30
11/1/99
31
11/1/99
32
11/1/99
33
11/1/99
34
11/1/99
35
11/1/99
36
11/1/99
37
Important Distributions
Normal Skewed Left Uniform Skewed Right 11/1/99
38
Notation µ is pronounced ‘mu’ and denotes the mean of all values
S denotes the summation of a set of values x is the variable usually used to represent the individual data values n represents the number of data values in a sample N represents the number of data values in a population x is pronounced ‘x-bar’ and denotes the mean of a set of sample values µ is pronounced ‘mu’ and denotes the mean of all values in a population 11/1/99
39
Definitions Mean S x x = n S x µ = N
the value obtained by adding the scores and dividing the total by the number of scores S x Sample x = n S x µ = Population N 11/1/99
40
Definition Standard Normal Distribution
a normal probability distribution that has a mean of 0 and a standard deviation of 1 Area found in Table A-2 Area = 1 2 3 -1 -2 -3 0.4429 z = 1.58 Score (z ) 11/1/99 Figure 5-5 Figure 5-6
41
Figure 5-10 Interpreting Area Correctly
x "greater than " "at least "more than x" "not less than . 5 Add to Subtract from "less than x " "at most "no more than "not greater than Subtract from . 5 Add to "between x 1 and 2 " Add Use A = C – B A B C 11/1/99
42
Definition Hypothesis Method of Reasoning 7-1 Overview
in statistics, is a claim or statement about a property of a population Method of Reasoning Analyze a sample in an attempt to distinguish between results that can easily occur and results that are highly unlikely. 11/1/99
43
11/1/99
44
11/1/99
45
11/1/99
46
11/1/99
47
11/1/99
48
11/1/99
49
Assessment 11/1/99
50
11/1/99
51
11/1/99
52
11/1/99
53
Velleman CD 11/1/99
54
Would I do it again? Yes, for the students.
Computer animations surpass chalk and talk Sound helped ESL students CD allows students to review Access for students who missed class 11/1/99
55
Flexibility on two levels Computer Animations Visualization
Would I do it again? Yes, for the teacher. Would I recommend that you try it? Yes! Immediacy Flexibility on two levels Computer Animations Visualization Record of material presented Computer is another teaching tool 11/1/99
56
? Q uestions 11/1/99
Similar presentations
