better learning through voting: using classroom response systems to improve student engagement and...
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Better learning through voting
Using classroom response systems to improve student engagement and
understanding
Ferris State University21 August 2013
Robert Talbert, PhDDepartment of Mathematics
Grand Valley State University
Monday, August 19, 13
Robert Talbert, PhD. Associate Professor, Mathematics Department, Grand Valley State University, Allendale, MIDad, nerd, runner, learner
talbertr@gvsu.edu | http://proftalbert.comTwitter: @RobertTalbert
Google+: http://gplus.to/rtalbertCasting Out Nines blog: http://chronicle.com/
blognetwork/castingoutnines
Monday, August 19, 13
Plan for the workshop
Monday, August 19, 13
Plan for the workshop
Part 1: What is a classroom response system and how can it be used in class?
10:00--10:30
Monday, August 19, 13
Plan for the workshop
Part 1: What is a classroom response system and how can it be used in class?
10:00--10:30
Part 2: Designing your own CRS questions10:30--11:00
Monday, August 19, 13
Plan for the workshop
Part 1: What is a classroom response system and how can it be used in class?
10:00--10:30
Part 2: Designing your own CRS questions10:30--11:00
Part 3: Show and tell11:00--11:30
Monday, August 19, 13
Plan for the workshop
Part 1: What is a classroom response system and how can it be used in class?
10:00--10:30
Part 2: Designing your own CRS questions10:30--11:00
Part 3: Show and tell11:00--11:30
Part 4: Q&A and next steps11:30--12:00
Monday, August 19, 13
Monday, August 19, 13
Effective teaching involves
Monday, August 19, 13
Effective teaching involves analyzing student knowledge
Monday, August 19, 13
Effective teaching involves analyzing student knowledge
in real time
Monday, August 19, 13
http://www.flickr.com/photos/barbourians/
Monday, August 19, 13
I’m talkative
http://www.flickr.com/photos/barbourians/
Monday, August 19, 13
I’m talkative
I’m shy/scared
http://www.flickr.com/photos/barbourians/
Monday, August 19, 13
I’m talkative
I’m shy/scaredI have contributions to make and things I
need to learn
http://www.flickr.com/photos/barbourians/
Monday, August 19, 13
Monday, August 19, 13
Wanted:
Monday, August 19, 13
Wanted: Simple method
Monday, August 19, 13
Wanted: Simple method
for collecting information about student knowledge
Monday, August 19, 13
Wanted: Simple method
for collecting information about student knowledgeand catching + repairing misconceptions
Monday, August 19, 13
Wanted: Simple method
for collecting information about student knowledgeand catching + repairing misconceptions
from all students
Monday, August 19, 13
Wanted: Simple method
for collecting information about student knowledgeand catching + repairing misconceptions
from all studentswithout freaking them out
Monday, August 19, 13
Wanted: Simple method
for collecting information about student knowledgeand catching + repairing misconceptions
from all studentswithout freaking them out
in as close to real time as possible
Monday, August 19, 13
Wanted: Simple method
for collecting information about student knowledgeand catching + repairing misconceptions
from all studentswithout freaking them out
in as close to real time as possiblethat provides actionable data for teaching and learning
Monday, August 19, 13
Classroom response systems (CRS, “clickers”)
Monday, August 19, 13
120 1 2 3 4 5 6 7 8 9 10 11
1000
0
100
200
300
400
500
600
700
800
900
Time (t) [months]
Sale
s
At what time were this company’s
sales increasing at the fastest rate?
(a) t = 0(b) t = 3(c) t = 4(d) t = 6(e) t = 8(f) None of the above
Monday, August 19, 13
Types of CRS questions
See also Derek Bruff, Teaching with Classroom Response Systems
Monday, August 19, 13
Information gathering
Approximately how much of the reading for today’s class did you do?
(a) 0%(b) 1-25%(c) 26-50%(d) 51-75%(e) 75-99%(f) 100%
Monday, August 19, 13
Information recall
An infinite series in which any two consecutive terms have a common ratio is called (a) Convergent(b) Divergent(c) Geometric(d) Harmonic(e) Tectonic
Monday, August 19, 13
Information recall
An infinite series in which any two consecutive terms have a common ratio is called (a) Convergent(b) Divergent(c) Geometric(d) Harmonic(e) Tectonic
Monday, August 19, 13
Concept checking
The sequence
2, 2.1, 2.11, 2.111, 2.1111, . . .
(a) Converges, and I am sure
(b) Converges, but I am not sure
(c) Diverges, but I am not sure
(d) Diverges, and I am sure
Monday, August 19, 13
Concept checking
The sequence
2, 2.1, 2.11, 2.111, 2.1111, . . .
(a) Converges, and I am sure
(b) Converges, but I am not sure
(c) Diverges, but I am not sure
(d) Diverges, and I am sure
Monday, August 19, 13
Misconception catching
Suppose we are given the infinite series
a0 + a1 + a2 + a3 + a4 + · · ·
and we know that the terms ai are all positive and approach 0 as i ! 1. Then
(a) The series converges
(b) The series diverges
(c) No conclusion can be drawn about convergence/divergence of the series
based on this information alone
Monday, August 19, 13
Misconception catching
Suppose we are given the infinite series
a0 + a1 + a2 + a3 + a4 + · · ·
and we know that the terms ai are all positive and approach 0 as i ! 1. Then
(a) The series converges
(b) The series diverges
(c) No conclusion can be drawn about convergence/divergence of the series
based on this information alone
Monday, August 19, 13
Discussion starting
(b) Diverges
7. The series
1X
n=1
✓1
2
n+
1
n
◆
(a) Converges
(b) Diverges
8. The series
1X
n=1
1
n(1 + lnn)
(a) Converges
(b) Diverges
9. The series
1X
n=1
✓1
2
n+
1
n
◆
(a) Converges
(b) Diverges
Section 9.4
1. If an > bn for all n and
Pbn converges, then
(a)
Pan converges
(b)
Pan diverges
(c) Not enough information to determine convergence or divergence of
Pan
2. The best way to test the series
1X
n=1
lnn
nfor convergence or divergence is
(a) Looking at the sequence of partial sums
(b) Using rules for geometric series
(c) The Integral Test
(d) Using rules for p-series
(e) The Comparison Test
(f) The Limit Comparison Test
3. The series
1X
n=1
cos
2 n
n2+ 1
(a) Converges
(b) Diverges
4. The series
1X
n=1
(n�1.4+ 3n�1.2
)
(a) Converges
(b) Diverges
3
Monday, August 19, 13
Discussion starting
(b) Diverges
7. The series
1X
n=1
✓1
2
n+
1
n
◆
(a) Converges
(b) Diverges
8. The series
1X
n=1
1
n(1 + lnn)
(a) Converges
(b) Diverges
9. The series
1X
n=1
✓1
2
n+
1
n
◆
(a) Converges
(b) Diverges
Section 9.4
1. If an > bn for all n and
Pbn converges, then
(a)
Pan converges
(b)
Pan diverges
(c) Not enough information to determine convergence or divergence of
Pan
2. The best way to test the series
1X
n=1
lnn
nfor convergence or divergence is
(a) Looking at the sequence of partial sums
(b) Using rules for geometric series
(c) The Integral Test
(d) Using rules for p-series
(e) The Comparison Test
(f) The Limit Comparison Test
3. The series
1X
n=1
cos
2 n
n2+ 1
(a) Converges
(b) Diverges
4. The series
1X
n=1
(n�1.4+ 3n�1.2
)
(a) Converges
(b) Diverges
3
Monday, August 19, 13
Peer instruction
Brief presentation of concept
Conceptual question
Students vote using classroom response system
Debrief, address any remaining
misconceptions
Next topic
Peer discussion -- students argue for right answer + against wrong answers
Revisit concept
< 30% correct
30-75% correct
> 75% correct
Monday, August 19, 13
Data from MTH 227-01 and -02, 2013-02-25Matrix Operations and Matrix Inverses
Monday, August 19, 13
Data from MTH 227-01 and -02, 2013-02-25Matrix Operations and Matrix Inverses
Monday, August 19, 13
Data from MTH 227-01 and -02, 2013-02-25Matrix Operations and Matrix Inverses
Monday, August 19, 13
Data from MTH 227-01 and -02, 2013-02-25Matrix Operations and Matrix Inverses
Normalized gain = 1
Monday, August 19, 13
Data from MTH 227-01 and -02, 2013-02-25Matrix Operations and Matrix Inverses
Normalized gain = 1
Normalized gain = 0.42...?
Monday, August 19, 13
Monday, August 19, 13
I can make my voice heard, gauge my knowledge, and engage with the material
Monday, August 19, 13
I can make my voice heard, gauge my knowledge, and engage with the material
Me too
Monday, August 19, 13
I can make my voice heard, gauge my knowledge, and engage with the material
Me tooMe too
Monday, August 19, 13
I can make my voice heard, gauge my knowledge, and engage with the material
Me tooMe tooMe too
Monday, August 19, 13
I can make my voice heard, gauge my knowledge, and engage with the material
Me tooMe tooMe too
Me too
Monday, August 19, 13
End of Part 1
Next up: Designing your own clicker questions
Monday, August 19, 13
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