Webinar 6: Numeracy
Welcome!
Make sure:
• you can hear us and
• we can hear you
 then Mute your microphone

While waiting to begin…
1. Test your system
Facilitators:
From LLNandVET meeting place:
• Ann Leske
• Chemène Sinson
From Vanguard Visions:
• Allison Miller
2. Introduce yourself
Type into chat box (bottom left corner of screen)
Tell us: who you are – where you work – what you do – contact info (optional) – other (?)
1
 Phone 02 8417 2487
 Enter Code 966 6792 #
Technical problems?
2
Using anymeeting
We’re recording!

Mute or unmute your mic
Mic etiquette
• Keep mic muted
• If you want to speak, type in chat box: “may I speak?” or equivalent
Type messages and questions here
Everyone sees all messages
Camera off, please
3
Allison Miller
Technology
Just so you know who we are…
Ann Leske
LLN
Chemène
Sinson
VET
4
 Consider and identify what is involved in the FS numeracy
 Explain why it’s necessary to ‘tune-in’ to the FS numeracy
 Identify at least one strategy you can feasibly use in your own
training to build and support numeracy skill development.
Webinar 6 objectives
5
Webinar 6 agenda
6
What
Why
How2:30 – 3:45pmAEDT
Topic 1: What is ‘numeracy’?
7
Activity
What comes to mind when you think about numeracy?
Topic 1: What is ‘numeracy’?
8
 Learners with negative experiences
 What are my limitations?
 Measurement
 Fractions and decimals
Activity
What comes to mind when you think about numeracy?
9
What does ‘numeracy’ involve?
ACSF Indicator .09
Identifying mathematical
information and meaning in
activities and texts
ACSF Indicator .10
Using and applying mathematical
knowledge and problem solving
processes
ACSF Indicator .11
Communicating and
representing concepts
Topic 2: Why ‘tune in’ to numeracy?
10
Activity
What numeracy challenges do your learners experience?
(First 1 – 2 thoughts)
Activity
What numeracy challenges do your learners experience?
Topic 2: Why ‘tune in’ to numeracy?
 Unpacking instructions or steps
 Working out what to do
 Communicating outcome effectively
11
Topic 2: Why ‘tune in’ to numeracy?
12
 …”that the results, no matter how you read them, demonstrate that a significant
number of Australians aged 15 years and upwards do not have access to
sufficient numeracy and mathematical skills to cope equitably with life in the
21st century.
 The capacity to make informed decisions – in the workplace or when out
shopping, following instructions about a medical or health matter, making
decisions about financial matters, or understanding the implications of, say,
gambling – all require good numeracy skills.
 The results of these surveys show that millions of Australians do not have such
foundational numeracy skills and are, potentially, disempowered”.
DaveTout LinkedIn TAE Newcomers 2/10/15, referring to Numeracy results PIAAC 2013
Activity
Complete this sentence:
If I’m teaching a new skill, or revising a skill, the first activity I
….
Topic 3: How can we build numeracy skills?
13
Get started building numeracy skills—a checklist
Prepare
 Be aware of the learners’ needs 
 Be aware of the task demand 
Check
 Ask learners what they know about the skill 
Deliver
 Outline the session structure 
 Expose how the foundation skill relates to the task 
 Name the key purpose or skill 
 Explain why the skill will be relevant 
 Explain what the skill links to 
 Use the ACSF/CSfW language. 
14
Covered in
multiple
webinars
Part 1 – teaching tips
 Common skills
 Specific workplace skills
Part 2 –
use technology to build numeracy skills
15
How can we build numeracy skills?
we’ll cover…
Challenges
 Words can be difficult to
 Words can be misinterpreted,
misunderstood, confusing
Solutions
 Teach the language of maths and
numeracy
 Encourage speaking and reading
about maths and numeracy
How can we build numeracy skills?
16
How can we improve our use of numeric language?
How can we build numeracy skills?
17
Khan Academy
To find the percentage of a number eg 25% of 36, multiply the
number (36) by 25, and then divide by 100
How could you improve these instructions?
Consider this…
Develop:
 Estimation skills
 ‘In the head’ techniques
What is a
reasonable
answer?
How can we build numeracy skills?
18
Check and develop knowledge and
understanding of mathematics
 Place value
 + - x ÷
 Algebra
 Working with 10s, 100s, 1000s
 Link between percentage
and fractions
 Ratios, statistics
 Metric system
 Geometry
How can we build numeracy skills?
19
 Read the question
 How confident are you that you can do this problem?
 Tell me what the question is asking you to do
 Tell me a method to use to find the answer
 Tell me how you worked out the answer
 Explain what you are doing as you do it
 Why did you do it that way?
 Does this approach make sense?
 Are there other ways to work this out?
 What did you discover when you tried?
 How confident do you feel about the answer?
How can we build numeracy skills?
20
 Excavate!
What’s going on?
 Build numeracy
communication
Ask questions
http://workbase.org.nz/media/15713/assistinglearnerssolvewrittennu
meracyproblems.pdf accessed 5/10/15
https://teal.ed.gov/sites/default/files/Teal_Math_Works_Guide_508.
pdf accessed 5/10/15
Questions and instructions to build numeracy communication
How can we build numeracy skills?
21
Specific skills for specific contexts
Workplace focused Numeracy resources
 Numeracy in Focus
 Numeracy in Practice
Example: Calculating quantities
 Numeracy by Measure
 Numeracy: A Professional Development Resource forWELL Practitioners
Many specific workplace context measurement resources
How can we build numeracy skills?
22
How can we use technology?
23
Use technology to build numeracy skills
Numbers (14.01)Toolbox and Learning Objects (FlexibleToolboxes) 24
Use technology to build numeracy skills
 KhanAcademy
 Google:
– Online calendar
– Google spreadsheet
– Google maps
 Mind mapping
– Bubbl.us
25
 Online calculators and
converters
– ATO tax tables
– Time converter
– Currency converter
– Insurance quoting
 Wearable technologies
(Fit bit)
Webinar 6 agenda
26
What
Why
How2:30 – 3:45pm AEDT
 Consider and identify what is involved in the FS numeracy
 Explain why it’s necessary to ‘tune-in’ to the FS numeracy
 Identify at least one strategy you can feasibly use in your own
training to build and support numeracy skill development.
Webinar 6 objectives
27
Did you meet your personal target?
Reflection
28
What will you take from here?
More info
 Contact us
29
vanguardvisions.com.au
llnandvetmeetingplace.wordpress.com
Chemène Ann
Allison
30
References and resources
Some interesting sites
 Roy Morgan research
 Worldometer statistics about the world we live in – watch the numbers
change
 Scale of the universe explore the size of macro and licro ‘things’ in our
world/universe
 Online room sketcher
 Speed time and distance calculator
 ASIC Money Smart
 Woolworths
 CIA World Fact Book
Resources
31
 VALBEC Strength with numbers
 DavidTout book: Having Fun with Maths
 BBC Skillswise
 Precision Consultancy – examples of Numeracy texts and Numeracy
activities across ACSF levels
 QCALTutorTips – mixed FS targeted strategies
 (NZ) National Centre of Literacy and Numeracy for Adults Teaching
Adults to Make sense of numbers to solve problems
 Teaching Adults to reason statistically
 Khan Academy
 What works for LLN videos
 LLN andVET Meeting Place
 MSA FloorTechniques
32
Resources
Resources
 If you aren’t sure what foundations skills underpin the workplace
training your learners are preparing for…
Check out Foundation skills within workplace roles
N.B. The NZ Workbase descriptions of each foundation skill are very detailed
 If you are looking for foundation skills delivery practice examples
(Australian context)…
Check out Why/how to integrate foundation skills into VET
e.g. the four NFSS delivery practice examples - delivery model videos
33
Webinar series:TeachingTips to build your learners’ foundation
skills by LLN andVET Meeting Place andVanguardVisions is licensed
under a Creative Commons Attribution 4.0 International License.
Based on a work at https://llnandvetmeetingplace.wordpress.com.
34
 All images used in this presentation were created by us or accessed via Creative Commons license
 All photos were accessed from http://www.freeimages.com/

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6 numeracy v2

  • 1. Webinar 6: Numeracy Welcome! Make sure: • you can hear us and • we can hear you  then Mute your microphone  While waiting to begin… 1. Test your system Facilitators: From LLNandVET meeting place: • Ann Leske • Chemène Sinson From Vanguard Visions: • Allison Miller 2. Introduce yourself Type into chat box (bottom left corner of screen) Tell us: who you are – where you work – what you do – contact info (optional) – other (?) 1
  • 2.  Phone 02 8417 2487  Enter Code 966 6792 # Technical problems? 2
  • 3. Using anymeeting We’re recording!  Mute or unmute your mic Mic etiquette • Keep mic muted • If you want to speak, type in chat box: “may I speak?” or equivalent Type messages and questions here Everyone sees all messages Camera off, please 3
  • 4. Allison Miller Technology Just so you know who we are… Ann Leske LLN Chemène Sinson VET 4
  • 5.  Consider and identify what is involved in the FS numeracy  Explain why it’s necessary to ‘tune-in’ to the FS numeracy  Identify at least one strategy you can feasibly use in your own training to build and support numeracy skill development. Webinar 6 objectives 5
  • 7. Topic 1: What is ‘numeracy’? 7 Activity What comes to mind when you think about numeracy?
  • 8. Topic 1: What is ‘numeracy’? 8  Learners with negative experiences  What are my limitations?  Measurement  Fractions and decimals Activity What comes to mind when you think about numeracy?
  • 9. 9 What does ‘numeracy’ involve? ACSF Indicator .09 Identifying mathematical information and meaning in activities and texts ACSF Indicator .10 Using and applying mathematical knowledge and problem solving processes ACSF Indicator .11 Communicating and representing concepts
  • 10. Topic 2: Why ‘tune in’ to numeracy? 10 Activity What numeracy challenges do your learners experience? (First 1 – 2 thoughts)
  • 11. Activity What numeracy challenges do your learners experience? Topic 2: Why ‘tune in’ to numeracy?  Unpacking instructions or steps  Working out what to do  Communicating outcome effectively 11
  • 12. Topic 2: Why ‘tune in’ to numeracy? 12  …”that the results, no matter how you read them, demonstrate that a significant number of Australians aged 15 years and upwards do not have access to sufficient numeracy and mathematical skills to cope equitably with life in the 21st century.  The capacity to make informed decisions – in the workplace or when out shopping, following instructions about a medical or health matter, making decisions about financial matters, or understanding the implications of, say, gambling – all require good numeracy skills.  The results of these surveys show that millions of Australians do not have such foundational numeracy skills and are, potentially, disempowered”. DaveTout LinkedIn TAE Newcomers 2/10/15, referring to Numeracy results PIAAC 2013
  • 13. Activity Complete this sentence: If I’m teaching a new skill, or revising a skill, the first activity I …. Topic 3: How can we build numeracy skills? 13
  • 14. Get started building numeracy skills—a checklist Prepare  Be aware of the learners’ needs   Be aware of the task demand  Check  Ask learners what they know about the skill  Deliver  Outline the session structure   Expose how the foundation skill relates to the task   Name the key purpose or skill   Explain why the skill will be relevant   Explain what the skill links to   Use the ACSF/CSfW language.  14 Covered in multiple webinars
  • 15. Part 1 – teaching tips  Common skills  Specific workplace skills Part 2 – use technology to build numeracy skills 15 How can we build numeracy skills? we’ll cover…
  • 16. Challenges  Words can be difficult to  Words can be misinterpreted, misunderstood, confusing Solutions  Teach the language of maths and numeracy  Encourage speaking and reading about maths and numeracy How can we build numeracy skills? 16
  • 17. How can we improve our use of numeric language? How can we build numeracy skills? 17 Khan Academy To find the percentage of a number eg 25% of 36, multiply the number (36) by 25, and then divide by 100 How could you improve these instructions? Consider this…
  • 18. Develop:  Estimation skills  ‘In the head’ techniques What is a reasonable answer? How can we build numeracy skills? 18
  • 19. Check and develop knowledge and understanding of mathematics  Place value  + - x ÷  Algebra  Working with 10s, 100s, 1000s  Link between percentage and fractions  Ratios, statistics  Metric system  Geometry How can we build numeracy skills? 19
  • 20.  Read the question  How confident are you that you can do this problem?  Tell me what the question is asking you to do  Tell me a method to use to find the answer  Tell me how you worked out the answer  Explain what you are doing as you do it  Why did you do it that way?  Does this approach make sense?  Are there other ways to work this out?  What did you discover when you tried?  How confident do you feel about the answer? How can we build numeracy skills? 20  Excavate! What’s going on?  Build numeracy communication Ask questions http://workbase.org.nz/media/15713/assistinglearnerssolvewrittennu meracyproblems.pdf accessed 5/10/15 https://teal.ed.gov/sites/default/files/Teal_Math_Works_Guide_508. pdf accessed 5/10/15 Questions and instructions to build numeracy communication
  • 21. How can we build numeracy skills? 21 Specific skills for specific contexts
  • 22. Workplace focused Numeracy resources  Numeracy in Focus  Numeracy in Practice Example: Calculating quantities  Numeracy by Measure  Numeracy: A Professional Development Resource forWELL Practitioners Many specific workplace context measurement resources How can we build numeracy skills? 22
  • 23. How can we use technology? 23
  • 24. Use technology to build numeracy skills Numbers (14.01)Toolbox and Learning Objects (FlexibleToolboxes) 24
  • 25. Use technology to build numeracy skills  KhanAcademy  Google: – Online calendar – Google spreadsheet – Google maps  Mind mapping – Bubbl.us 25  Online calculators and converters – ATO tax tables – Time converter – Currency converter – Insurance quoting  Wearable technologies (Fit bit)
  • 27.  Consider and identify what is involved in the FS numeracy  Explain why it’s necessary to ‘tune-in’ to the FS numeracy  Identify at least one strategy you can feasibly use in your own training to build and support numeracy skill development. Webinar 6 objectives 27
  • 28. Did you meet your personal target? Reflection 28 What will you take from here?
  • 29. More info  Contact us 29 vanguardvisions.com.au llnandvetmeetingplace.wordpress.com Chemène Ann Allison
  • 31. Some interesting sites  Roy Morgan research  Worldometer statistics about the world we live in – watch the numbers change  Scale of the universe explore the size of macro and licro ‘things’ in our world/universe  Online room sketcher  Speed time and distance calculator  ASIC Money Smart  Woolworths  CIA World Fact Book Resources 31
  • 32.  VALBEC Strength with numbers  DavidTout book: Having Fun with Maths  BBC Skillswise  Precision Consultancy – examples of Numeracy texts and Numeracy activities across ACSF levels  QCALTutorTips – mixed FS targeted strategies  (NZ) National Centre of Literacy and Numeracy for Adults Teaching Adults to Make sense of numbers to solve problems  Teaching Adults to reason statistically  Khan Academy  What works for LLN videos  LLN andVET Meeting Place  MSA FloorTechniques 32 Resources
  • 33. Resources  If you aren’t sure what foundations skills underpin the workplace training your learners are preparing for… Check out Foundation skills within workplace roles N.B. The NZ Workbase descriptions of each foundation skill are very detailed  If you are looking for foundation skills delivery practice examples (Australian context)… Check out Why/how to integrate foundation skills into VET e.g. the four NFSS delivery practice examples - delivery model videos 33
  • 34. Webinar series:TeachingTips to build your learners’ foundation skills by LLN andVET Meeting Place andVanguardVisions is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://llnandvetmeetingplace.wordpress.com. 34  All images used in this presentation were created by us or accessed via Creative Commons license  All photos were accessed from http://www.freeimages.com/

Editor's Notes

  • #4: Go through items on slide. Mention: for most of webinar intent is to remain muted. If we invite speaking, etiquette: Keep it short and concise Speak only if contribution or query is beneficial to all. If you have a query relevant to your own situation, please type in chat box.
  • #8: From my experience, when I’m finding out more about a new learner, and I mention numeracy – some people groan or say immediately – ‘I’m no good at that’ Ask question. Invite people to type into chat box. Respond then show next slide with our thoughts.
  • #9:  Show this slide after getting ideas from participants. Broad concepts of numeracy
  • #10: ACSF advises Numeracy is about using mathematics to make sense of the world and applying mathematics in a context for a social purpose.   PIAAC states Numeracy is the ability to access use interpret and communicate mathematical information and ideas, in order to engage in and manage the mathematical demands of a range of situations on adult life   Generally it involves 3 steps Reading/Listening/Watching - Interpreting Excavating the maths from the real world - often this is a literacy related act (could involve reading/writing/speaking)   Calculating – working something out   Putting the solution/findings back into the real world, communicating Recording or expressing the outcome – another Literacy act (could involve reading/writing/speaking)
  • #11: Pose question (show on slide). Give time for participants to type responses in chat box Move to next slide (with our thoughts) when ready
  • #12:  Show this slide after getting ideas from participants.
  • #13: Chemene Dave Tout—check who knows who he is. If needed, introduce Dave as: Works for ACER Numeracy guru. Ann has pulled together statements from Dave’s presentations: Point 1: Too many of us don’t have the numeracy skills we need   Point 2: Ability to make informed decisions requires good numeracy skills (we often think of reading, but not of numeracy)   Point 3: We are potential disempowered by lack of foundational numeracy skills.   Hand over to Ann…
  • #14: Pose question (show on slide). Give time for participants to type responses in chat box, then stay with this slide and discuss: If you have time and the delivery possibility – games are worthwhile Dave Tout Maths is Fun (Book) and VALBEC (Beth Marr\) Strength in Numbers (On-line resource) – have many activities to engage.
  • #15: Expose and be explicit about the foundation skill under the microscope – be explicit
  • #17: The language and discourse of mathematics are crucial to the understanding and learning of mathematics and numeracy   Context has associated language   Be aware of the reading/ language involved   Numeracy is not separated from reading – or writing Dealing with Reading and Numeracy skills and strategies at the same time is not uncommon – particularly in the ‘unpacking stage’ – what is this about? What am I being asked to do? What are the steps involved?
  • #18: Ensure instructions are clear Training manuals can be very dense and confusing Step by step
  • #19: Estimation is an important skill, often overlooked as a first step.   Some roles are in the front line with customers who ask for and expect rough quotes, cost estimates, or explanation for what’s needed – how much carpet?, how many plants can I buy for $$$.   Even if a calculator I handy – it’s important to recognise if an answer is off track.   There can be more than one way to work something out
  • #20: Build confidence to manipulate numbers in problem solving tasks   The ACSF provides clear stepping stones for what to expect or teach at different levels.   Many of these listed are common skills and knowledge in many VET contexts   Demonstrate the how to do it steps clearly – talking through the steps out loud exposing what you are thinking at this point…. I carry this one to this column because Promote use of estimation Promote use of in the head techniques (eg manipulating zeros, movement of decimal point to find 10%) Hands on equipment to manipulate (MAB blocks for Base 10 – our decimal and metric system, tape measures, scales…. Games/Activities to promote discussion, exchanging ideas and strategies (VALBEC Strength in Numbers are very adaptable) Visual resources (eg Khan Academy) - colour chalk/explanation, quizzes with answers available. You Tube Take a step back and explore the algebra from the learner’s perspective – where are the potential problems or confusion points?- which subtraction strategy is used – the borrow and pay back or the exchange on the top row – what’s involved? Use online/self correcting activities where possible eg the MSA Flooring Technology Making Measurement works has two sections – calculating and measuring. The calculating section covers many of the skills listed here. Link on resources page Make it interesting –bring something new and unexpected have a look at the list of interesting sites on the Resources page –– scale of the universe is fascinating develop a methodology for answering questions through asking: What am I being asked? What data do I have? How would I do this calculation? What data do I need? How do I interpret my answer?
  • #21: Develop effective questioning Be ready to listen and watch – how did you work that out? Unpack and repack strategies
  • #22: Specific skills for specific contexts Many jobs require workers to work with measurements. Measure underpins the success and welfare of a modern workpjacea nd touches almost every part of working life. The develop and sell products and services, manage quality ad safety, and to enhance productivity , workplaces need to measure process products and performance (Numeracy by Measure) Measurement skills demands differ from job to job, workplace to workplace, industry to industry. Some measurement skills are familiar and common across all jobs. For example, starting work on time requires time measurement and estimation skills. Other measurement skills are specialised. For example, healthcare workers use a blood pressure monitor (also known as a sphygmomanometer) to measure blood pressure. (Numeracy by Measure Guide p 18) Complex Evolving/emerging measurement areas – sustainability and robotics
  • #24: Allison to add notes
  • #25: Allison Numbers (14.01) TOOLBOX(Modified on Tue 25 Aug 2015 19:28:43) This Toolbox is a ‘what I need, when I need it’ design delivering underpinning skills and knowledge to learners, particularly those wanting to enter the building, construction and carpentry trades but requiring additional learning and support with numeracy. The multimedia activities and video will allow for experiential learning with feedback and reward to ensure the interest of students who are often opposed to text-based learning. It is designed to also ... Competency: CPCCCM1005A Carry out measurements & calculations, CPCCCM2001A Read and interpret plans and specifications, CPCCCA3002A Carry out setting out, CPCCCA3006A Erect roof trusses, CPCCCA3004A Construct wall framing, CPCCCA3008A Construct eaves, VBQU152 Investigate and interpret measurements and related formulae for everyday purposes Training Package: Construction, Plumbing and Services Measurement(Modified on Tue 30 Sep 2014 11:12:19) This learning object covers units of measure and the use of rulers and tape measures in the building trade. Competency: CPCCCM1005A Carry out measurements and calculations Educational Level: Certificate III Training Package: Construction, Plumbing and Services Toolbox: 14.01 - Numbers Area(Modified on Tue 30 Sep 2014 11:12:21) This learning object covers calculating area for two dimensional shapes in the building trade. Competency: CPCCCM1005A Carry out measurements and calculations Educational Level: Certificate III Training Package: Construction, Plumbing and Services Toolbox: 14.01 - Numbers Ratio(Modified on Tue 30 Sep 2014 11:12:22) This learning object covers the use of ratio and scale in the building industry. Competency: VBQU152 Investigate and interpret measurements and related formulae for everyday purposes. Educational Level: Certificate III Training Package: Construction, Plumbing and Services Toolbox: 14.01 - Numbers Angles(Modified on Tue 30 Sep 2014 11:12:22) This learning object covers recognition and use of angles to mark out buildings and materials. Competency: CPCCCA3002A Carry out setting out Educational Level: Certificate III Training Package: Construction, Plumbing and Services Toolbox: 14.01 - Numbers Calculations(Modified on Tue 30 Sep 2014 11:12:25) This learning object covers types of calculations used in the building trade. This includes calculating quantities, sizes and costs. Competency: CPCCCM1005A Carry out measurements and calculations Educational Level: Certificate III Training Package: Construction, Plumbing and Services Toolbox: 14.01 - Numbers Volume(Modified on Tue 30 Sep 2014 11:12:27) This learning object covers calculating volume for three dimensional shapes in the building trade. Competency: CPCCCM1005A Carry out measurements and calculations Educational Level: Certificate III Training Package: Construction, Plumbing and Services Toolbox: 14.01 - Numbers
  • #29: Participants identify: Most useful info or ideas gained Questions they still have. If few participants: invite participants to speak and share key learning (or type into chat box).
  • #30: Thank everyone for participating Remind them what they can expect to receive soon: For each webinar enrolled in: PowerPoints Recording of session For each webinar attended: SOA Feedback survey—emphasise would appreciate this