1. MATH LEARNING MATERIALS
COMBINING PRINT MATERIALS
AND WEB BASED TRAINING
Akira Nakamura
Kanazawa Institute of Technology
Nonoichi Ishikawa, Japan
n.akira@neptune.kanazawa-it.ac.jp
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2. Overview
1. Concept of the developed Math
learning materials
2. Concrete explanation of the
developed materials
3. Technical point
4. Samples of Utilizations
5. Summary
2

3. Concept of the developed
Math learning materials
3

4. Background
Smartphones and tablet PCs become widely used
Internet Access PDF Display
Anywhere and Anytime e-Learning
Issue of the learning Math by e-Learning
Solving a problem in handwriting is critical in order to
developing logical thinking. But it is difficult to input the
mathematical expression in an e-learning system
Print Based Training is efficient way to
learn Math
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5. Key Concept of the Developed
Math Learning Material
Easy to Use and More Effective
Advantage of Advantage of
Print Material combination Web Based
Print Based
Training Training
PDF file
QR code
a kind of two-
dimensional
bar code
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6. sample of QR cord
Domestic Airplane Ticket International Airplane
in Japan Ticket
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7. sample of QR cord
An excerpt form
http://mobile.yahoo.co.jp/se
rvice/know.html#weather
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8. Advantage of Print Based Training
(Print Material)
1. Common practice tool in class
2. Suitability for writing mathematics expressions
3. Assessment of the process for solving problems
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9. Advantage of Web Based Training
1. Links are highly instrumental
Link Back Learning
2. Keyword search
3. No limitation on the number of webpages
4. Easy to modify
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10. Web Based Training
for Math Learning
KIT Mathematics Navigation
(Online Reference Book)
Reference Part Exercise Part
Topic1 Questions Answer(1)
Topic2 Answer(2)
(1)
Topic3 (2) Answer(3)
(3)
One page has One answer page is
only one topic. only for one question.
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11. The Concept of Link Back Learning
Keyword or phrase
Advanced
Level
unknown Learning Link
webpage Target
Link
Step Back
By Learning
Step
Learning
well-known
Basic Level 11

12. Concrete explanation of
the developed materials
12

13. How to Use This Learning Materials
Demonstration Video
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14. Developed Math Learning
Material
Take a picture of QR code Click & Jump to
& Jump to PDF file web site
Answer(1)
Question(1) Question(1) Reference(1)
Answer space Link to answer
Reference(2)
QR
code
Question(2) Question(2) Link Back
Link to answer
Answer space Learning
Print Material PDF file
printed form PDF file uploaded on the server Feedback
Print Based (or attached to the email) Web Based
Training Training 14

15. How to Check the Answer
question
answer
hint Link to
Reference page
Detailed
answer
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16. The Way of Link Back Learning
Student can learn
Clik on the link
more basic
knowledge easily by
clicking.
Click on the link
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17. Technical point
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18. Mathematical Expression on
the Webpage
Mathematical expressions are written in MathML
MathML Expression of y f x
<m:math xmlns=http://www.w3.org/1998/Math/MathML>
<m:mrow><m:mi>y</m:mi><m:mo>=</m:mo><m:mi>f</m:mi><m:mrow><m:mo>
(</m:mo><m:mi>x</m:mi><m:mo>)</m:mo></m:mrow></m:mrow></m:math>
Convert
URL encoded Mimetex Expression
<img hspace="5" src="http://w3e.kanazawa-it.ac.jp/math/cgi-bin/mimetex/
mimetex.cgi?3$%20y=f%20%5c(x%5c)%20%20%20%20"%20border=0%20
align=middle%20/>
Mathematics Expressions are displayed as GIF images
on a mobile phone browser 18

19. How to Analyze a Learning Path
Webpages are generated by CGI
Sample of embedded a link address
http://w3e.kanazawa-it.ac.jp/math/q-and-
a/sekibun/henkan-tex.cgi?target=/math/q-and-
a/sekibun/question1-5.html&kit=a1
a mark to extract
our students’ data
We can analyze the learning paths without logging in
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20. Samples of Utilizations
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21. Sample of Learning Path(1)
Access time Access page.
august 6 10:40:19 Answer Page of Question 1.(1)
august 6 10:41:13 Answer Page of Question 1.(2)
august 6 10:41:28 Answer Page of Question 1.(3)
august 6 10:41:54 Answer Page of Question 1.(4)
august 6 10:43:21 Answer Page of Question 1.(5)
august 6 10:43:49 Answer Page of Question 1.(6)
august 6 10:45:03 Answer Page of Question 2.(1)
august 6 10:45:30 Answer Page of Question 2.(2)
august 6 10:46:06 Answer Page of Question 2.(3)
he visited
only answer webpages.
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22. Sample of Learning Path(2)
Access time Access page.
august 3 23:37:07 Answer Page of Question1.(1)
august 3 23:40:03 Answer Page of Question 1.(2)
august 3 23:44:44 Answer Page of Question 1.(3)
august 3 23:49:32 Answer Page of Question 1.(4)
august 3 23:51:44 Answer Page of Question 1.(5)
august 3 23:53:44 Answer Page of Question 1.(6)
august 3 23:58:34 Answer Page of Question 1.(6)
august 3 23:59:17 Answer Page of Question 2.(1)
august 3 00:01:09 Differentiation of a^x (linked page)
august 3 00:01:16 Basic Differentiation Formulas (linked page)
august 3 00:01:24 Basic Differentiation Formulas (linked page)
august 3 00:01:34 Basic Integration Formulas (linked page)
august 3 00:01:55 Answer Page of Question 2.(2)
august 3 00:03:49 Answer Page of Question 2.(3)
august 3 00:05:09 Basic Integration Formulas (linked page)
august 3 00:10:12 Answer Page of Question 2.(3)
august 3 00:17:34 Arcsine (linked page)
august 3 00:17:42 Answer Page of Question 2.(3)
august 3 00:17:48 Arcsine (linked page)
He visited not only answer
pages, but also the linked pages.
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23. Summary
1. A new type of math materials is
developed.
2. QR code and PDF file play a crucial
role to combine handout and web
3. “Link Back Learning” is a point in
WBT.
4. Learning path analysis produce good
information
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24. Thank you
for your attention.
24

25. Learning by Using the
Developed Learning Materials
Output of Knowledge Input of Knowledge
Print Based Training Web Based Training
You check your answers
You solve the questions and
in handwriting learn referred pages
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