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MATH EDUCATION NEEDS
A MAKEOVER!
ABD KARIM ALIAS
Centre for Development of Academic Excellence (CDAE)
Universiti Sains Malaysia
Photo by Federica Olivieri on Flickr.	

 Abd	
  Karim	
  Alias_2013	
  
Abd	
  Karim	
  Alias_2013	
  
Dan Meyer: Math Class Needs a Makeover
Abd	
  Karim	
  Alias_2013	
  
Dan Meyer on Real-World Math	

 Conrad Wolfram - Making Maths Beautiful	

How To Make Math Meaningful	

 Math Classes in the Future
Image source: http://bit.ly/STQZBB	

Internet is constantly challenging us to
RETHINK LEARNING & EDUCATION
Abd	
  Karim	
  Alias_2013	
  
Abd Karim Alias@2011	

The world as a 
Abd	
  Karim	
  Alias_2013	
  
Abd Karim Alias@2011	

A Global Classroom
Abd	
  Karim	
  Alias_2013	
  
Learning resources are
available in abundance…!
8	

iTunes U
New Framework,
New Paradigm
> Re-examining the structure
of the curriculum,
> Explore innovative delivery
methods
Abd	
  Karim	
  Alias_2013	
  
New Framework,
New Paradigm
> Re-examining the structure
of the curriculum,
> Explore innovative delivery
methods
Abd	
  Karim	
  Alias_2013	
  
11	

MOOC
The changing scenario of
education…!
Education today…in the globalized
& connected world…
…is about adapting to changing world.
How and what we teach has to
change as well.
Challenges ahead…!
Photo by Eugene Zemlyanskiy on Flickr
Abd Karim Alias_2013	

Photo by Quinn Dombrowski on Flickr	

Many students disengage
from learning mathematics…
WHY?
Image source: http://science.howstuffworks.com/thinking-cap.htm/	

“There is no such thing as an
unmotivated student. There
are, however, students in
unmotivated states”.
- Eric Jensen
Abd Karim Alias_2013
§  Types of E-Learning Technology
§  What is rapid E-Learning?
§  Rapid E-Learning Processes
§  Rapid E-Learning Tools
How do I make
Math more
exciting…?
interesting
engaging
fun
Yet
effective
Image source: http://office.microsoft.com/en-us/clipart/	

 Abd	
  Karim	
  Alias_2013	
  
What’s the problem with the traditional
way of teaching mathematics?
…the way math is traditionally
taught reinforces the idea that it's an
innate talent
Photo by Meg Lauber on Flickr.	

Abd	
  Karim	
  Alias_2013	
  
The Four Pillars Upon Which the Failure
of Math Education Rests*
(and what to do about them)	

*Matthew A. Brenner,The Four Pillars Upon Which the Failure of Math Education Rests	

 Abd	
  Karim	
  Alias_2013	
  
The Four Pillars Upon Which the Failure
of Math Education Rests*
(and what to do about them)	

The approach (not content) of math education
is too abstract and decontextualized	

Math education conveys rituals and procedures
but not understanding	

Metacognitive activity is absent in math
education	

Sociolinguistic obstacles to success in
mathematics	

Pillar 1
Pillar 2
Pillar 3
Pillar 4
*Matthew A. Brenner,The Four Pillars Upon Which the Failure of Math Education Rests	

 Abd	
  Karim	
  Alias_2013	
  
Math demands creativity, collaboration and
discussion more than memorization, drills
and just hurrying to get the right answers
Photo byYoel Ben-Avraham on Flickr.	

 Abd	
  Karim	
  Alias_2013	
  
What Skills are Useful
in Innovation-Driven Societies?
•  Mathematical problem solving
•  Mathematical reasoning
•  Mathematical creativity and critical
thinking
•  Mathematical communications
Lower level
thinking
Higher level
thinking
Generating new ideas,
being innovative,
viewing things in
different ways
Bloom Taxonomy (revised)
Abd	
  Karim	
  Alias_2013	
  
New Framework,
New Paradigm
> Re-examining the structure
of the curriculum,
> Explore innovative delivery
methods
Abd	
  Karim	
  Alias_2013	
  
Re-examine Curriculum!
Abd	
  Karim	
  Alias_2013	
  
We need to redesign our Math courses to clearly
build on complimentary skills and emphasize the
inter-relatedness of Algebra, Statistics, Chemistry,
Physics, Geometry, Engineering, Economics, and
even Calculus (and even Music, Poetry, History,Art,
Architecture, and Philosophy).	

Mathematics curricula should be
redesigned to highlight and have
students experience the very real
everyday applications
Explore new innovative delivery methods
Conventional Approach!
Problem	

 Problem	

Problem	

Connection to
real world	

Math
Computation Problem	

Problem	

Abd	
  Karim	
  Alias_2013	
  
New Framework!
Number
Theory	

 Probability	

Algebra	

Connection to
other subjects	

Real World
Statistics	

Calculus	

Abd	
  Karim	
  Alias_2013	
  
Challenges ahead…!
Photo by Eugene Zemlyanskiy on Flickr	

Changing the paradigm…
A teacher can only guide & facilitate;
learning & exploring is done entirely by the student
Lecture is not about giving content! …
Image source: http:// sciencebhakta.wordpress.com	

3 years at USM	

Lifelong learning
Memorable & meaningful learning
experiences
Image source: http://office.microsoft.com/en-us/clipart/	

Experiential learning
Collaborative learning
Immersive learning
Problem-based
learning
Blended learning
Enquiry-based
learning
Abd	
  Karim	
  Alias_2013	
  
Cooperative learning
Any educator should master three types
of knowledge:!
Abd	
  Karim	
  Alias_2013	
  
1.  content knowledge—knowledge of the facts,
principles and methods in the discipline that is
being taught, 	

2.  pedagogical knowledge—understanding of the
learning process and the conditions that
facilitate and hinder it, independent of the
discipline in which the learning takes place, and 	

3.  pedagogical content knowledge—to denote
knowledge and understanding of the learning
process in the context of a particular
discipline.
Challenges ahead…!
Photo by Eugene Zemlyanskiy on Flickr
35	

Image source: http://office.microsoft.com/en-us/clipart/	

•  Class periods are too short
•  Not enough time for
questioning & reflecting
•  Not enough time for
interaction & discussion
•  Less opportunity for active
learning
Shortcomings of traditional classroom
Abd Karim Alias_2013
Empower your students!
Photo by Hamad Al_Mohanna on Flickr
Eric Mazur says learning
interests him far more than
teaching, and he encourages a
shift from "teaching" to "helping
students learn."
Photo by Center for TeachingVanderbilt University on Flickr	

The best way to learn is to teach!
Peer teaching
Peer-assisted learning
Peer instruction
Abd	
  Karim	
  Alias_2013	
  
Examples of classroom activity
•  Group discussion
•  Idea exploration
•  Interactive questioning
•  Quiz/Poll
•  Problem solving
•  Presentation/Role play
•  Demonstration
•  Case study/scenario
•  Story telling
•  Gaming
40	

Image source: http://bit.ly/SZvteB	

Role of
Technology
Image source: http://bit.ly/PK39OX	

Internet is constantly challenging us to
RETHINK LEARNING & EDUCATION.
Abd	
  Karim	
  Alias_2013	
  
Technology is NOT a SILVER
BULLET…
Abd	
  Karim	
  Alias_2013	
  
When we use technology it must
be in a way that enhances what
we are doing…
Abd	
  Karim	
  Alias_2013	
  
Image source: http://bit.ly/PK39OX	

Reinforce foundation
Remedial
Procedural
Abd	
  Karim	
  Alias_2013	
  
Use technology to:
> Conceptual,
> Contextual
Optimize classroom time for…
Abd	
  Karim	
  Alias_2013	
  
New Framework,
New Paradigm
> Re-examining the structure
of the curriculum,
> Explore innovative delivery
methods
Abd	
  Karim	
  Alias_2013	
  
New Framework,
New Paradigm
> Re-examining the structure
of the curriculum,
> Explore innovative delivery
methods
Abd	
  Karim	
  Alias_2013	
  
48	

Abd Karim Alias@2011	

Use technology to produce digital
learning resources
Optimizing
On average the
concentration span of
an adult is < 20 min
Did you know…?
Abd	
  Karim	
  Alias_2013	
  
Deliver the essence of the lecture in < 20 min
Condense 50 min face-to-face
lecture to…
10 to 15 min video…
Does it make sense?
Optimizing
Abd	
  Karim	
  Alias_2013	
  
– Watch, Practice
Abd	
  Karim	
  Alias_2013	
  
Abd	
  Karim	
  Alias_2013	
  
What is Classroom?
Abd	
  Karim	
  Alias_2013	
  
What is Classroom?
Abd	
  Karim	
  Alias_2013	
  
What is Classroom?
•  Reverse instruction
•  Pre-recorded lecture (10 to
15 min) made available online
•  Lecture delivered on demand
•  Class time is reserved for
elaboration, discussion,
reflection, activities
Abd	
  Karim	
  Alias_2013	
  
What is Classroom?
•  Flipped classroom is NOT
about video or technology
•  It is about effective use of
classroom time
•  It allows teacher to engage
students in more
collaboration and discussion
•  Construct learning together
Abd	
  Karim	
  Alias_2013	
  
Making Classroom Effective
•  Recorded lecture < 20 min
•  Available on demand
•  Viewed prior to f2f lecture
•  Well structured programme
•  Integrate with learning
activities in social media (e.g.,
Edmodo)
•  Integrate with learning
activities in classroom
Abd	
  Karim	
  Alias_2013	
  
Advantages of Classroom
•  More effective active learning
•  The teacher role is strengthen
•  Time is used more efficiently
•  More face-to-face time (interactivity)
•  Peer learning is enhanced
•  Differentiated instruction
•  Greater control of content delivery
•  Assimilation of knowledge can be
observed
•  Learn on demand
Abd	
  Karim	
  Alias_2013	
  
to Create Screencast
•  Computer (desktop, laptop, tablet)
•  External mic (for high quality audio)
•  Webcam (optional)
•  Internet access
•  Software/App
Abd	
  Karim	
  Alias_2013	
  
to Create Screencast
Free web-based
tools
Free/low cost app
for Tablet
Commercial
software
JING
SCREENFLOW
Abd	
  Karim	
  Alias_2013	
  
MATH EDUCATION@USM!
Photo by Meg Lauber on Flickr.	

Abd	
  Karim	
  Alias_2013	
  
Let’s have a larger sense of
purpose…not simply…teaching!
Further Readings!

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Math Education Needs a Makeover

  • 1. MATH EDUCATION NEEDS A MAKEOVER! ABD KARIM ALIAS Centre for Development of Academic Excellence (CDAE) Universiti Sains Malaysia Photo by Federica Olivieri on Flickr. Abd  Karim  Alias_2013  
  • 2. Abd  Karim  Alias_2013   Dan Meyer: Math Class Needs a Makeover
  • 3. Abd  Karim  Alias_2013   Dan Meyer on Real-World Math Conrad Wolfram - Making Maths Beautiful How To Make Math Meaningful Math Classes in the Future
  • 4. Image source: http://bit.ly/STQZBB Internet is constantly challenging us to RETHINK LEARNING & EDUCATION Abd  Karim  Alias_2013  
  • 5. Abd Karim Alias@2011 The world as a Abd  Karim  Alias_2013  
  • 6. Abd Karim Alias@2011 A Global Classroom Abd  Karim  Alias_2013  
  • 9. New Framework, New Paradigm > Re-examining the structure of the curriculum, > Explore innovative delivery methods Abd  Karim  Alias_2013  
  • 10. New Framework, New Paradigm > Re-examining the structure of the curriculum, > Explore innovative delivery methods Abd  Karim  Alias_2013  
  • 12. The changing scenario of education…!
  • 13. Education today…in the globalized & connected world… …is about adapting to changing world. How and what we teach has to change as well.
  • 14. Challenges ahead…! Photo by Eugene Zemlyanskiy on Flickr
  • 15. Abd Karim Alias_2013 Photo by Quinn Dombrowski on Flickr Many students disengage from learning mathematics… WHY?
  • 16. Image source: http://science.howstuffworks.com/thinking-cap.htm/ “There is no such thing as an unmotivated student. There are, however, students in unmotivated states”. - Eric Jensen Abd Karim Alias_2013
  • 17. §  Types of E-Learning Technology §  What is rapid E-Learning? §  Rapid E-Learning Processes §  Rapid E-Learning Tools How do I make Math more exciting…? interesting engaging fun Yet effective Image source: http://office.microsoft.com/en-us/clipart/ Abd  Karim  Alias_2013  
  • 18. What’s the problem with the traditional way of teaching mathematics? …the way math is traditionally taught reinforces the idea that it's an innate talent Photo by Meg Lauber on Flickr. Abd  Karim  Alias_2013  
  • 19. The Four Pillars Upon Which the Failure of Math Education Rests* (and what to do about them) *Matthew A. Brenner,The Four Pillars Upon Which the Failure of Math Education Rests Abd  Karim  Alias_2013  
  • 20. The Four Pillars Upon Which the Failure of Math Education Rests* (and what to do about them) The approach (not content) of math education is too abstract and decontextualized Math education conveys rituals and procedures but not understanding Metacognitive activity is absent in math education Sociolinguistic obstacles to success in mathematics Pillar 1 Pillar 2 Pillar 3 Pillar 4 *Matthew A. Brenner,The Four Pillars Upon Which the Failure of Math Education Rests Abd  Karim  Alias_2013  
  • 21. Math demands creativity, collaboration and discussion more than memorization, drills and just hurrying to get the right answers Photo byYoel Ben-Avraham on Flickr. Abd  Karim  Alias_2013  
  • 22. What Skills are Useful in Innovation-Driven Societies? •  Mathematical problem solving •  Mathematical reasoning •  Mathematical creativity and critical thinking •  Mathematical communications
  • 23. Lower level thinking Higher level thinking Generating new ideas, being innovative, viewing things in different ways Bloom Taxonomy (revised) Abd  Karim  Alias_2013  
  • 24. New Framework, New Paradigm > Re-examining the structure of the curriculum, > Explore innovative delivery methods Abd  Karim  Alias_2013  
  • 25. Re-examine Curriculum! Abd  Karim  Alias_2013   We need to redesign our Math courses to clearly build on complimentary skills and emphasize the inter-relatedness of Algebra, Statistics, Chemistry, Physics, Geometry, Engineering, Economics, and even Calculus (and even Music, Poetry, History,Art, Architecture, and Philosophy). Mathematics curricula should be redesigned to highlight and have students experience the very real everyday applications
  • 26. Explore new innovative delivery methods
  • 27. Conventional Approach! Problem Problem Problem Connection to real world Math Computation Problem Problem Abd  Karim  Alias_2013  
  • 28. New Framework! Number Theory Probability Algebra Connection to other subjects Real World Statistics Calculus Abd  Karim  Alias_2013  
  • 29. Challenges ahead…! Photo by Eugene Zemlyanskiy on Flickr Changing the paradigm…
  • 30. A teacher can only guide & facilitate; learning & exploring is done entirely by the student Lecture is not about giving content! … Image source: http:// sciencebhakta.wordpress.com 3 years at USM Lifelong learning
  • 31. Memorable & meaningful learning experiences Image source: http://office.microsoft.com/en-us/clipart/ Experiential learning Collaborative learning Immersive learning Problem-based learning Blended learning Enquiry-based learning Abd  Karim  Alias_2013   Cooperative learning
  • 32.
  • 33. Any educator should master three types of knowledge:! Abd  Karim  Alias_2013   1.  content knowledge—knowledge of the facts, principles and methods in the discipline that is being taught, 2.  pedagogical knowledge—understanding of the learning process and the conditions that facilitate and hinder it, independent of the discipline in which the learning takes place, and 3.  pedagogical content knowledge—to denote knowledge and understanding of the learning process in the context of a particular discipline.
  • 34. Challenges ahead…! Photo by Eugene Zemlyanskiy on Flickr
  • 35. 35 Image source: http://office.microsoft.com/en-us/clipart/ •  Class periods are too short •  Not enough time for questioning & reflecting •  Not enough time for interaction & discussion •  Less opportunity for active learning Shortcomings of traditional classroom Abd Karim Alias_2013
  • 36. Empower your students! Photo by Hamad Al_Mohanna on Flickr
  • 37. Eric Mazur says learning interests him far more than teaching, and he encourages a shift from "teaching" to "helping students learn."
  • 38. Photo by Center for TeachingVanderbilt University on Flickr The best way to learn is to teach! Peer teaching Peer-assisted learning Peer instruction Abd  Karim  Alias_2013  
  • 39. Examples of classroom activity •  Group discussion •  Idea exploration •  Interactive questioning •  Quiz/Poll •  Problem solving •  Presentation/Role play •  Demonstration •  Case study/scenario •  Story telling •  Gaming
  • 41. Image source: http://bit.ly/PK39OX Internet is constantly challenging us to RETHINK LEARNING & EDUCATION. Abd  Karim  Alias_2013  
  • 42. Technology is NOT a SILVER BULLET… Abd  Karim  Alias_2013  
  • 43. When we use technology it must be in a way that enhances what we are doing… Abd  Karim  Alias_2013  
  • 44. Image source: http://bit.ly/PK39OX Reinforce foundation Remedial Procedural Abd  Karim  Alias_2013   Use technology to:
  • 45. > Conceptual, > Contextual Optimize classroom time for… Abd  Karim  Alias_2013  
  • 46. New Framework, New Paradigm > Re-examining the structure of the curriculum, > Explore innovative delivery methods Abd  Karim  Alias_2013  
  • 47. New Framework, New Paradigm > Re-examining the structure of the curriculum, > Explore innovative delivery methods Abd  Karim  Alias_2013  
  • 48. 48 Abd Karim Alias@2011 Use technology to produce digital learning resources
  • 49. Optimizing On average the concentration span of an adult is < 20 min Did you know…? Abd  Karim  Alias_2013  
  • 50. Deliver the essence of the lecture in < 20 min Condense 50 min face-to-face lecture to… 10 to 15 min video… Does it make sense? Optimizing Abd  Karim  Alias_2013  
  • 51. – Watch, Practice Abd  Karim  Alias_2013  
  • 53. What is Classroom? Abd  Karim  Alias_2013  
  • 54. What is Classroom? Abd  Karim  Alias_2013  
  • 55. What is Classroom? •  Reverse instruction •  Pre-recorded lecture (10 to 15 min) made available online •  Lecture delivered on demand •  Class time is reserved for elaboration, discussion, reflection, activities Abd  Karim  Alias_2013  
  • 56. What is Classroom? •  Flipped classroom is NOT about video or technology •  It is about effective use of classroom time •  It allows teacher to engage students in more collaboration and discussion •  Construct learning together Abd  Karim  Alias_2013  
  • 57. Making Classroom Effective •  Recorded lecture < 20 min •  Available on demand •  Viewed prior to f2f lecture •  Well structured programme •  Integrate with learning activities in social media (e.g., Edmodo) •  Integrate with learning activities in classroom Abd  Karim  Alias_2013  
  • 58. Advantages of Classroom •  More effective active learning •  The teacher role is strengthen •  Time is used more efficiently •  More face-to-face time (interactivity) •  Peer learning is enhanced •  Differentiated instruction •  Greater control of content delivery •  Assimilation of knowledge can be observed •  Learn on demand Abd  Karim  Alias_2013  
  • 59. to Create Screencast •  Computer (desktop, laptop, tablet) •  External mic (for high quality audio) •  Webcam (optional) •  Internet access •  Software/App Abd  Karim  Alias_2013  
  • 60. to Create Screencast Free web-based tools Free/low cost app for Tablet Commercial software JING SCREENFLOW Abd  Karim  Alias_2013  
  • 61. MATH EDUCATION@USM! Photo by Meg Lauber on Flickr. Abd  Karim  Alias_2013   Let’s have a larger sense of purpose…not simply…teaching!