Active Learning of Permutation and Combination

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Transcript 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 8 June 2009 Slide 1

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 - 1 st 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

-

V

ideo

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

Group A & B Data Analysis using mean, median & mode Lecturer As Facilitator Active & Experiential Learning Group C & D Construct Stem-and leaf 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

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Extra slides after this point.

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Back-to-Back Stem-and-leaf diagram

are organized into are used to calculate Data Compare 2 data sets 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

3

Jane

2 5 3 4 5 5 5 7

Key: Tom - 2 | 1 rep 12 marks Jane - 2 | 5 rep 25 marks

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I understand and am able to ....

(i) interpret and analyse stem-and-leaf diagram (ii) (iii) (iv) (v) 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 Comments (if any) Yes No Not sure 18

Comment on the profile of each company

Salary Range Number of Employees < $20 000

Company A

0

Company B

1

Company C

16 $20 000 - $30 000 $30 000 - $40 000 $40 000 - $50 000 $50 000 - $60 000 $60 000 - $70 000 >= $70 000 2 93 5 0 0 0 46 31 18 2 2 0 21 22 15 8 5 12

Mean $35 000 $35 000 $45 000 Median $35 000 $33 700 $37 400 Mode $35 000 $31 100 $25 900

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