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Digital Tools for Mathematics
Daniel
Groenewald
#cewapl
https://goo.gl/LJtDre
Learning
intention
To provide you with a balance of
Digital Tools to enhance teaching
and learning in Mathematics
Digital processes to enhance
teaching and learning
Padlethttps://padlet.com/daniel_groenewa/technology
How do you use
technologies in your
classroom to enhance
mathematics?
Today’s
Meet
https://todaysmeet.com/Practice1
What questions do you
have?
QR codeshttp://www.qr-code-generator.com/
Can you make your
resources easily
accessible?
KahootKahoot
Is revision in your
curriculum gamified?
SocrativeSocrative Student
Do digital tools cut down
your workload?
EdpuzzleEd Puzzle
How can you leverage off
the content of others for the
good of students?
https://goo.gl/nhMTmi
Make
something
for class
Time to have a go!
Where to from here?
• We have the technology
• We have the curriculum mandate
• We have some exemplary practices
• What do we most need to do now?
Digital Pedagogies
https://goo.gl/LTWns5
https://www.youtube.com/watch?v=c3YdaWiQuZY
How do you use
technology in your
classroom?
Sleek, integrated and well designed?
Image: https://en.wikipedia.org/wiki/File:Rocket-bike.jpg
Or added on?
Traditional Approaches to Ed-Tech pedagogy
– Primary
TECHNOLOGY
CONTENT
KNOWLEDGE
PEDAGOGY
Traditional Approaches to Ed-Tech pedagogy
– Secondary
TECHNOLOGYCONTENT
KNOWLEDGE
PEDAGOGY
How do we know if we
are using technology
well?
Can we match Technologies to Effect Sizes?
Technique Effective
size
Tech choices SAMR scale Teaching and
learning phase
Formative
evaluation with
analytics
.90 Socrative quiz
Film learning
Showbie
Zaption
Augmentation Building
knowledge
Classroom
discussion
.82 Online Forum
YouTube video comments
Twitter
Instagram
Augmentation Building
knowledge
Teacher and
Lesson clarity
.75 Published lesson plans on the LMS
Flipped learning with learning
analytics
Augmentation Prior to
engagement
Student feedback .75 Ongoing live OneNote
Live google docs
Showbie
Modification Building
knowledge and
reflection
Adapted from Hattie visible learning
Leveraging human learning preferences:
The Ed-Tech Quintet
Mode Traditional realisation Associated Practice Digital Realisation
Social Listening, talking,
storytelling
Communication, collaboration,
Sharing
Commenting, dialoguing
through social media
Mobility On the savannah, in-situ
workshop
Anytime, Anyplace Learning and
Creation
At home, on the bus,
whatevs
Visualisation Painting Making abstract concepts
tangible
Infographics, websites,
Storytelling Within family setting, around
the campfire
Knowledge integration and
transmission
iMovie, YouTube,
BookCreator,
Gaming Chasing, running, catching,
outwitting
Feedback loops and formative
assessment
Khan Academy, Udemy,
Socrative, Maths Space
Puentedura: http://hippasus.com/rrpweblog/
REDEFINTION E
MODIFICATIONE
AUGMENTATION
SUBSTITUTION E
TRANSFORMATION
ENHANCEMENT
The SAMR
Model
Ruben R. Puentedura,
Transformation, Technology, and
Education. (2006) Online at:
http://hippasus.com/resources/tte/
PDF with
hyperlinks
Imovie
PDF
Weebly
Tech acts as a tool substitute with no
functional change to task
Tech acts as a tool substitute with
functional change to task
Tech enables improvement in task design
Tech enables significant improvement to
task in a way that was inconceivable in the
paper based world
Group 1 https://goo.gl/YFc1sk
Group 2 https://goo.gl/lZ5nQo
Group 3 https://goo.gl/7Skvz0
Group 4 https://goo.gl/EF75va
Group 5 https://goo.gl/7JLN1H
Group 6 https://goo.gl/RertvU
GroupLinks
Lesson evaluations using
SAMR
Get into groups of four, access the resource on the
next slide and complete the activities.
TPACK+CAPb
TECHNOLOGY PEDAGOGY
CONTENT
KNOWLEDGE
TPACK with adaptions: Mishra and Koehler (2006)
21ST C General
CAPABILITIES
Investigating
Communicating
Creating
Applying social &
ethical protocols
Managing and
operating ICT
ICT
Critical &
Creative
Thinking
Personal
& social
capabilityIntercultural
understanding
Maximising student choice over
what they learn and how they
learn supercharges motivation
and sustains positive learning
behaviors
Project-problem
based
Content
Knowledge Pedagogy
Autonomy
Technology
ENGAGEMENT
Making teaching and
learning choices that
connect with the elements
of DDLD is critical to
effective instruction
Strong learning area
specific expertise that is
curricula compliant
advantageously fast tracks
scaffolding and targets key
skills and knowledge more
effectively
Effective deep learning cuts
across learning areas through
project based learning tasks
that investigate real and
relevant questions and assess
learners on authentic outputs
Learning contexts that engage,
excite, enthuse, personalise
and challenge are the
foundation of effective
sustained learning
Groenewald 2016
The Elements of
Deep Digital Learning Design
Capabilities
Engagement
Wellbeing
Effective planning with/for
technology capabilities increases
engagement, collaboration and
access to skills and knowledge
Effective planning with/for
technology capabilities
increases engagement,
collaboration and access to
skills and knowledge
25
The pedagogy of cave exploration
Using Deep Learning Assessment Matrices
Rule 1. Complete all the shaded activities.
Rule 2. Complete another three activities. They must not
be in the same column or row.
Rule 3. Choose a partner and complete another
Activity.
Word Logic & Maths Space & Vision Body Music People Self
Remembering
List ten key ideas
associated with
images that were
important to the
Ancient Greeks.
Create an accurate
itinerary of the daily
life of a Spartan
solider and share with
peers to get feedback
Chart or simulate
the journey of
Alexandra the Great
graphically.
In a group, act out a
battle between
competing Ancient
Greek City-states.
Find an appropriate song
or piece of music to
accompany a series of
images that recounts an
important event in
Ancient Greece
With a partner,
prepare a short
talk about a
famous Ancient
Greek
In your journal,
explain what you
found most
interesting about
Ancient Greece.
Understanding
Describe a famous
battle
in Ancient Greece
and its outcome
Create a timeline of
significant events in
Ancient Greece
Tell the story of a
key event in Ancient
Greece in cartoon
form
Build an A4 size model
of an important Ancient
Greek building or
monument. Explain its
construction and
importance.
Write and perform and
song that celebrates or
laments an episode in
Ancient Greek
mythology.
Describe the
behaviours you
would expect to
see from a typical
boy and a typical
girl in Ancient
Greek society
Describe how you
prepare to be a
Spartan Soldier.
Applying
Create a test about
Ancient Greece in the
style of Who Wants to
be A Millionaire
Calculate the
provisions required to
feed and shelter a
battalion of soldiers in
the Trojan War
Create a poster to
promote the values
of an Ancient-Greek
City state
Teach a gymnastic or
athletic skill performed
by Ancient Greeks to
your friends
Record an audio retelling
of a famous story from
Ancient Greece using
sound effects
Participate in a
debate about the
different attitudes
to the education
of boys and girls
in Sparta
Explain your personal
beliefs about the
value of war for
solving conflict in
Ancient Greece
Analysing
Explain why Ancient
Greek City-States
struggled to defend
themselves from
outside forces.
Explain and chart
alternative routes and
methods of travel
from Sparta to Athens
Use a Venn diagram
to compare Ancient
Greece with Ancient
Egypt.
Perform a role play of a
famous Ancient Greek
scientist or philosopher
relating news of a
discovery
Which event from
Ancient Greek history
would be best
accompanied by
dramatic music and
why?
Instruct a class on
the skills required
to be successful
Greek Soldier
Compare and
contrast the
experiences of
teenage boys and
girls in Ancient
Greece
Evaluating
List 5 assets that
were essential to
maintaining harmony
between Greek City-
States
Chart similarities and
differences between
Ancient Greece and
modern Australia
using a graphic
organiser
Use a series of
Photos or
Photostory to
explain the rise and
fall of Ancient
Greece
Evaluate the benefits of
the Olympic Games to
Ancient Greece
Explain how effective a
Greek amphitheatre was
in carrying sound to the
audience
As a group,
determine the
legacy of Ancient
Greece
Explain how you
would feel if you were
part of a defeated
Army in Ancient
Greece
Creating
Compose a poem,
story, newspaper
article, vlog, podcast,
describing an uplifting
or tragic moment in
Ancient Greece
Create an infographic
poster explaining the
mathematical theories
of an Ancient Greek
Mathematician
considering their
relevance to modern
life
Accurately
draw/model and
label the parts of a
Greek Ship, such as
a Trireme,
explaining the
purpose of the
boat’s design and its
success in battle.
Dress up/ as an Ancient
Greek and take your
class on a virtual tour of
your City-State or
lecture your class in the
style of an Ancient
Greek Philosopher
Write a song celebrating
the achievement of a
specific City State
Facilitate a class
debate on an
important issue in
Ancient Greece
such as slavery.
Which type of
Ancient Greek citizen
do you most
resemble (e.g..
soldier, scientist,
philosopher) and
why?
DIAGNOSIS
ENGAGEMENT
BUILDING
KNOWLEDGE
TRANSFORMATION
PRESENTATION
REFLECTION
THE DIGITAL
LEARNING AND
TEACHING
CYCLE
Socrative
TedTalks
Zaption
Explain
Everything
Powtoons
Blog
D Groenewald (2016): Adapted from K. Love et al, BUILT: 2003
Pedagogical flow
Apps at
pedagogically
appropriate
stage of learning
Instructional
work flow
Activity General Capability ICT Capability
Element
ICT
tool
SAMR
level
Learning Aras
intention/focus
By the end of this lesson, students will be able to identify
Diagnosis
Engagement
Building
Knowledge
Transformation
Presentation
Reflection
Creating and evaluating a lesson/unit with ICT
DGroenewald:AdaptedfromK.Loveetal,BUILT:2003
How can tech
be leveraged?
What do
Students
need
to know
What do they
need to to
investigate
Driving
Question or
challenge
Students to
chose
How
to present
Present
learning
publicly
Get feedback
to improve
The elements
of Project
Based
Learning
Instructional
work flow
Activity General
Capability
ICT Capability ICT
tool
SAMR
level
Learning Aras
intention/focus
By the end of this lesson, students will be able to
Big Idea
Essential
question
The Challenge
Guiding
Questions/Acti
vities
Solution
Publish/Reflect
Problem Based Learning (PBL)
http://images.apple.com/education/docs/CBL_Classroom_Guide_Jan_2011.pdf
Daniel Groenewald
Digital Learning Coordinator, CEWA
Groenewald.daniel@cathednet.wa.edu.au
@d_groenewald

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Digital Tools For Mathematics

  • 1. Digital Tools for Mathematics Daniel Groenewald #cewapl https://goo.gl/LJtDre
  • 2. Learning intention To provide you with a balance of Digital Tools to enhance teaching and learning in Mathematics Digital processes to enhance teaching and learning
  • 3. Padlethttps://padlet.com/daniel_groenewa/technology How do you use technologies in your classroom to enhance mathematics?
  • 5. QR codeshttp://www.qr-code-generator.com/ Can you make your resources easily accessible?
  • 6. KahootKahoot Is revision in your curriculum gamified?
  • 7. SocrativeSocrative Student Do digital tools cut down your workload?
  • 8. EdpuzzleEd Puzzle How can you leverage off the content of others for the good of students? https://goo.gl/nhMTmi
  • 10. Where to from here? • We have the technology • We have the curriculum mandate • We have some exemplary practices • What do we most need to do now?
  • 12. How do you use technology in your classroom?
  • 13. Sleek, integrated and well designed?
  • 15. Traditional Approaches to Ed-Tech pedagogy – Primary TECHNOLOGY CONTENT KNOWLEDGE PEDAGOGY
  • 16. Traditional Approaches to Ed-Tech pedagogy – Secondary TECHNOLOGYCONTENT KNOWLEDGE PEDAGOGY
  • 17. How do we know if we are using technology well?
  • 18. Can we match Technologies to Effect Sizes? Technique Effective size Tech choices SAMR scale Teaching and learning phase Formative evaluation with analytics .90 Socrative quiz Film learning Showbie Zaption Augmentation Building knowledge Classroom discussion .82 Online Forum YouTube video comments Twitter Instagram Augmentation Building knowledge Teacher and Lesson clarity .75 Published lesson plans on the LMS Flipped learning with learning analytics Augmentation Prior to engagement Student feedback .75 Ongoing live OneNote Live google docs Showbie Modification Building knowledge and reflection Adapted from Hattie visible learning
  • 19. Leveraging human learning preferences: The Ed-Tech Quintet Mode Traditional realisation Associated Practice Digital Realisation Social Listening, talking, storytelling Communication, collaboration, Sharing Commenting, dialoguing through social media Mobility On the savannah, in-situ workshop Anytime, Anyplace Learning and Creation At home, on the bus, whatevs Visualisation Painting Making abstract concepts tangible Infographics, websites, Storytelling Within family setting, around the campfire Knowledge integration and transmission iMovie, YouTube, BookCreator, Gaming Chasing, running, catching, outwitting Feedback loops and formative assessment Khan Academy, Udemy, Socrative, Maths Space Puentedura: http://hippasus.com/rrpweblog/
  • 20. REDEFINTION E MODIFICATIONE AUGMENTATION SUBSTITUTION E TRANSFORMATION ENHANCEMENT The SAMR Model Ruben R. Puentedura, Transformation, Technology, and Education. (2006) Online at: http://hippasus.com/resources/tte/ PDF with hyperlinks Imovie PDF Weebly Tech acts as a tool substitute with no functional change to task Tech acts as a tool substitute with functional change to task Tech enables improvement in task design Tech enables significant improvement to task in a way that was inconceivable in the paper based world
  • 21. Group 1 https://goo.gl/YFc1sk Group 2 https://goo.gl/lZ5nQo Group 3 https://goo.gl/7Skvz0 Group 4 https://goo.gl/EF75va Group 5 https://goo.gl/7JLN1H Group 6 https://goo.gl/RertvU GroupLinks
  • 22. Lesson evaluations using SAMR Get into groups of four, access the resource on the next slide and complete the activities.
  • 23. TPACK+CAPb TECHNOLOGY PEDAGOGY CONTENT KNOWLEDGE TPACK with adaptions: Mishra and Koehler (2006) 21ST C General CAPABILITIES Investigating Communicating Creating Applying social & ethical protocols Managing and operating ICT ICT Critical & Creative Thinking Personal & social capabilityIntercultural understanding
  • 24. Maximising student choice over what they learn and how they learn supercharges motivation and sustains positive learning behaviors Project-problem based Content Knowledge Pedagogy Autonomy Technology ENGAGEMENT Making teaching and learning choices that connect with the elements of DDLD is critical to effective instruction Strong learning area specific expertise that is curricula compliant advantageously fast tracks scaffolding and targets key skills and knowledge more effectively Effective deep learning cuts across learning areas through project based learning tasks that investigate real and relevant questions and assess learners on authentic outputs Learning contexts that engage, excite, enthuse, personalise and challenge are the foundation of effective sustained learning Groenewald 2016 The Elements of Deep Digital Learning Design Capabilities Engagement Wellbeing Effective planning with/for technology capabilities increases engagement, collaboration and access to skills and knowledge Effective planning with/for technology capabilities increases engagement, collaboration and access to skills and knowledge
  • 25. 25 The pedagogy of cave exploration
  • 26. Using Deep Learning Assessment Matrices Rule 1. Complete all the shaded activities. Rule 2. Complete another three activities. They must not be in the same column or row. Rule 3. Choose a partner and complete another Activity.
  • 27. Word Logic & Maths Space & Vision Body Music People Self Remembering List ten key ideas associated with images that were important to the Ancient Greeks. Create an accurate itinerary of the daily life of a Spartan solider and share with peers to get feedback Chart or simulate the journey of Alexandra the Great graphically. In a group, act out a battle between competing Ancient Greek City-states. Find an appropriate song or piece of music to accompany a series of images that recounts an important event in Ancient Greece With a partner, prepare a short talk about a famous Ancient Greek In your journal, explain what you found most interesting about Ancient Greece. Understanding Describe a famous battle in Ancient Greece and its outcome Create a timeline of significant events in Ancient Greece Tell the story of a key event in Ancient Greece in cartoon form Build an A4 size model of an important Ancient Greek building or monument. Explain its construction and importance. Write and perform and song that celebrates or laments an episode in Ancient Greek mythology. Describe the behaviours you would expect to see from a typical boy and a typical girl in Ancient Greek society Describe how you prepare to be a Spartan Soldier. Applying Create a test about Ancient Greece in the style of Who Wants to be A Millionaire Calculate the provisions required to feed and shelter a battalion of soldiers in the Trojan War Create a poster to promote the values of an Ancient-Greek City state Teach a gymnastic or athletic skill performed by Ancient Greeks to your friends Record an audio retelling of a famous story from Ancient Greece using sound effects Participate in a debate about the different attitudes to the education of boys and girls in Sparta Explain your personal beliefs about the value of war for solving conflict in Ancient Greece Analysing Explain why Ancient Greek City-States struggled to defend themselves from outside forces. Explain and chart alternative routes and methods of travel from Sparta to Athens Use a Venn diagram to compare Ancient Greece with Ancient Egypt. Perform a role play of a famous Ancient Greek scientist or philosopher relating news of a discovery Which event from Ancient Greek history would be best accompanied by dramatic music and why? Instruct a class on the skills required to be successful Greek Soldier Compare and contrast the experiences of teenage boys and girls in Ancient Greece Evaluating List 5 assets that were essential to maintaining harmony between Greek City- States Chart similarities and differences between Ancient Greece and modern Australia using a graphic organiser Use a series of Photos or Photostory to explain the rise and fall of Ancient Greece Evaluate the benefits of the Olympic Games to Ancient Greece Explain how effective a Greek amphitheatre was in carrying sound to the audience As a group, determine the legacy of Ancient Greece Explain how you would feel if you were part of a defeated Army in Ancient Greece Creating Compose a poem, story, newspaper article, vlog, podcast, describing an uplifting or tragic moment in Ancient Greece Create an infographic poster explaining the mathematical theories of an Ancient Greek Mathematician considering their relevance to modern life Accurately draw/model and label the parts of a Greek Ship, such as a Trireme, explaining the purpose of the boat’s design and its success in battle. Dress up/ as an Ancient Greek and take your class on a virtual tour of your City-State or lecture your class in the style of an Ancient Greek Philosopher Write a song celebrating the achievement of a specific City State Facilitate a class debate on an important issue in Ancient Greece such as slavery. Which type of Ancient Greek citizen do you most resemble (e.g.. soldier, scientist, philosopher) and why?
  • 28. DIAGNOSIS ENGAGEMENT BUILDING KNOWLEDGE TRANSFORMATION PRESENTATION REFLECTION THE DIGITAL LEARNING AND TEACHING CYCLE Socrative TedTalks Zaption Explain Everything Powtoons Blog D Groenewald (2016): Adapted from K. Love et al, BUILT: 2003 Pedagogical flow Apps at pedagogically appropriate stage of learning
  • 29. Instructional work flow Activity General Capability ICT Capability Element ICT tool SAMR level Learning Aras intention/focus By the end of this lesson, students will be able to identify Diagnosis Engagement Building Knowledge Transformation Presentation Reflection Creating and evaluating a lesson/unit with ICT DGroenewald:AdaptedfromK.Loveetal,BUILT:2003
  • 30. How can tech be leveraged? What do Students need to know What do they need to to investigate Driving Question or challenge Students to chose How to present Present learning publicly Get feedback to improve The elements of Project Based Learning
  • 31. Instructional work flow Activity General Capability ICT Capability ICT tool SAMR level Learning Aras intention/focus By the end of this lesson, students will be able to Big Idea Essential question The Challenge Guiding Questions/Acti vities Solution Publish/Reflect Problem Based Learning (PBL) http://images.apple.com/education/docs/CBL_Classroom_Guide_Jan_2011.pdf
  • 32. Daniel Groenewald Digital Learning Coordinator, CEWA Groenewald.daniel@cathednet.wa.edu.au @d_groenewald

Editor's Notes

  1. This is an image about the jarring of technologies. A rocket on a bicycle. They seems unsuited. It’s a bit like just adding an ipad App to a paper based unit. It doesn’t work. Begin again.
  2. The Technologies curriculum may confuse some teachers but what is actually different about it?
  3. The Technologies curriculum may confuse some teachers but what is actually different about it?
  4. “Expert teachers now are those who can bring together knowledge of subject matter, what is good for learning, and technology (ICT). The combination is described as Technological Pedagogical Content Knowledge (TPACK). It is more than simply adding ICT to traditional approaches. It depends upon deep knowledge of how ICT can be used to access and process subject matter (TCK) and understanding how ICT can support and enhance learning (TPK) in combination with PCK” Accessed: 15/3/2016 http://www.ttf.edu.au/what-is-tpack/what-is-tpack.html. Dr Matthew J. Koehler, Associate Professor of Educational Psychology and Educational Technology at the College of Education, Michigan State University. ee S. Shulman (born September 28, 1938) is an educational psychologist who has made notable contributions to the study of teaching, assessment of teaching, and the fields of medicine, science and mathematics. He is a professor emeritus at Stanford Graduate School of Education, past president of the Carnegie Foundation for the Advancement of Teaching, past president of the American Educational Research Association, and the recipient of several awards recognizing his educational research. From 1963 to 1982, Shulman was a faculty member at Michigan State University, where he founded and co-directed the Institute for Research on Teaching (IRT). Among his many achievements, Shulman is credited with popularizing the phrase "pedagogical content knowledge" (PCK).
  5. The Technologies curriculum may confuse some teachers but what is actually different about it?