Download Active Learning of Permutation and Combination

Active and Experiential
Learning of Statistics @ Library
Presented by
Theo Bee Leng, Dept of Mathematics & Science
Cher Sen Keuk, Singapore Polytechnic Library
Pablo Tan, Educational Development Unit
Slide 1
8 June 2009
Content of Delivery
1.Objectives & CDIO Compliance
2.Learning Theory & Implementation
3.Students’ Findings
4.Creation of Workspace
5.Video
2
Objectives
-Active engagement to reflect on subject content
-1st hand experience in data collection
-Sharpen research skills
-Develop confidence for classroom sharing
3
Participants
51 first year students from
-
Diploma in Computer Engineering
- Diploma in Information
Communication Technology
4
CDIO Standard 6 & 8
- Structure learning space into class time periods
-
Lessons in the Media Viewing Room
-
Students embark on experiential learning
- Video for group reflection & peer review
5
Learning Theory
Theory of action/reflection learning
(Dilworth,1998)
L =P+Q+R
L : Learn by doing
P : Programmed Knowledge
Q: Questioning
R: Reflection
6
Implementation
(A) Most preferred library materials
e.g. Periodicals/DVDs and music CDs
(B) Most preferred library facilities
e.g. PC facilities/study facilities /loan facilities
(C) No. of hours male users spent weekly in library
(D) No. of hours female users spent weekly in
library
7
Lecturer As Facilitator
Group A & B
Data Analysis
using mean,
median & mode
Active &
Experiential
Learning
Group C & D
Construct
Stem-andleaf Diagrams
Interview library
Users, Group Viewing
& Reflection
8
Findings by Group A & B
Most Preferred Library Materials - DVD
(entertaining)
- Followed by Music CDs & Periodicals
Most Preferred - Study facilities
(conducive for learning)
- Followed by PC & Loan Facilities
9
Findings by Group C & D
Male & Female Users share same usage pattern
- Spent average of 3 hours per week in the library
- Females go there to study
- Males go there during break times
- Findings similar to Group B
(study facilities as most preferred choice)
10
Creating Workspace for Learning
(Freeman, 2005) The library functioned as
an extension of the classroom for students
-engage in collaborative learning
- refine their critical thinking
11
Library was chosen:
• Provide workspace for experiential
learning & group sharing
• Ready stream of library users to
conduct face-to-face interviews
• Rich resources facilitate teaching &
learning
12
Conclusion
- innovative way of learning outside classroom
- experiential learning reinforce
understanding
- heighten interest in learning statistics
- enhance confidence in social interaction
13
Video on “Active &
Experiential Learning of
Statistics @ Library
14
Extra slides after this point.
15
Back-to-Back Stem-and-leaf diagram
are organized into
Compare 2 data sets
Data
are used to calculate
Frequency Table
Measures of Central Tendency
Grouped Frequency Table
are used to calculate
Mean
Sensitive
to
Change in
Frequency
Median
Mode
NOT
sensitive to
Sensitive
to
Extreme Values
or Outliers
16
Which is the best representative of the data set: 1, 1, 2, 3, 3, 10 and 1?
(a) mean
(b) median
(c) mode
(d) all of them
(a) How many tests did they each participate in?
(b) If Tom’s highest score was 3 less than Jane’s highest score, find
the value of x.
(c) Which score occurred most often?
Tom
2 1
2 5 6
1 1 1
x
Stem
1
2
3
4
Jane
3
2 5
3 4 5
5 5 7
Key:
Tom - 2 | 1 rep 12 marks
Jane - 2 | 5 rep 25 marks
17
I understand and am able to ....
(i)
interpret and analyse stem-and-leaf diagram
(ii)
find the mean, median and mode from a set of
values
find the mean, median and mode from a
frequency table
calculate the mean and standard deviation for
group data
distinguish the purpose and use of mean,
median and mode
(iii)
(iv)
(v)
Yes No Not
sure
Comments (if any)
18
Comment on the profile of each company
Salary Range
Number of Employees
Company A
Company B
Company C
0
1
16
2
46
21
93
31
22
5
18
15
0
2
8
0
2
5
0
0
12
Mean
$35 000
$35 000
$45 000
Median
$35 000
$33 700
$37 400
Mode
$35 000
$31 100
$25 900
< $20 000
$20 000 - $30
000
$30 000 - $40
000
$40 000 - $50
000
$50 000 - $60
000
$60 000 - $70
000
>= $70 000
19