Math Education Needs a Makeover
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Transcript of Math Education Needs a Makeover
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
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Dan Meyer: Math Class Needs a Makeover
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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
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Learning resources are available in abundance…!
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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
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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
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§ 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.
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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 by Yoel 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)
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New Framework, New Paradigm
> Re-examining the structure of the curriculum,
> Explore innovative delivery methods
Abd Karim Alias_2013
Re-examine Curriculum !
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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
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Conventional Approach!
Problem Problem
Problem
Connection to real world
Math Computation Problem
Problem
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New Framework !
Number Theory Probability
Algebra
Connection to other subjects
Real World Statistics
Calculus
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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
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Cooperative learning
Any educator should master three types of knowledge: !
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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
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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 Teaching Vanderbilt University on Flickr
The best way to learn is to teach!
Peer teaching
Peer-assisted learning
Peer instruction
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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…
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When we use technology it must be in a way that enhances what
we are doing…
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Image source: http://bit.ly/PK39OX
Reinforce foundation
Remedial
Procedural
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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…?
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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
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– Watch, Practice
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Abd Karim Alias_2013
What is Classroom?
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What is Classroom?
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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
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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
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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
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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
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to Create Screencast
• Computer (desktop, laptop, tablet) • External mic (for high quality audio) • Webcam (optional) • Internet access • Software/App
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to Create Screencast
Free web-based tools
Free/low cost app for Tablet
Commercial software
JING
SCREENFLOW
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MATH EDUCATION@USM!
Photo by Meg Lauber on Flickr.
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Let’s have a larger sense of purpose…not simply…teaching!
Further Readings!