Happy Numbers and more…

Happy Numbers ResourcesContinuing my theme from last week I have added a new page to the Investigations series – one of my all time favourites – Happy Numbers.

I have also added further resources to the Investigations – Links and Resources page. From the National STEM Centre which is an incredible source of resources for STEM subjects we have

Investigations L Mottershead - National STEM CentreLorraine Mottershead’s book: Investigations a complete book by including solutions to the puzzles and investigations.

STEM Centre Investigations Kirby & PatillaAlso on the NMoational STEM Centre from David Kirby and Peter Patilla we have Maths Investigations – Pupils’ Workshop together with a comprehensive teachers’ guide.

Investigations and more …

Some updates this week and tidying up the pages.

Under Resources I have added a new series of pages – Investigations. This came about because I have been looking at a favourite investigation on Palindromes  this week with Year 7 (UK age 11-12) who were thoroughly enjoying themselves and determined to find any two digit palindrome requiring rather more steps with the reverse and add process than most two digit palindromes. I have favourite investigations I use each year, so time to document those, an ongoing project, I will add to the series in the coming weeks.

The UK Maths Challenges have been included on the Problems & Activities page for some time, but note the recent addition of Extended solutions for each of the challenges. (Thank you to my wonderful colleague Anja who pointed this out to me a couple of days ago).

jmcFrom UKMT, the UK Maths Challenges we have a wonderful library of problems; note the these past papers where you will find questions and full solutions. Check also the Individual Challenges pages where you will find details of the challenge and see sample materials. Check the Junior Challenge for example. Note the addition for 2015 of extended solutions. As well as a full solution which does not use the multiple choice answers further ideas are given for investigation.

UKMT Extended Solutions

Under Problems & Activities we also have Here’s the Diagram …. the idea here is that you show students a diagram and work out what the question might be. It can also work well to show students an algebraic expression for example and ask them what the question might be which I have added to that post. This forces them to use correct vocabulary – expand, factorise and so on as I am convinced there is a whole class of words which students simply translate as ‘do something with this’!
(See Exam Terminology included in this Reference post for students.)

What's the question?

What’s the question?

My Year 7 students has a test recently; in one student’s review she wrote that she got something right in her test because she had got it wrong in a mini-test.I remain convinced that this is a very valuable activity. Details on mini tests can be found in the Revision Activities series of pages; I have also added this information to Mathematics Starters for completeness.

Updating pages I find myself pondering the distinction between Rich Tasks / Rich Questions / Problems …; it seems that the definitions are blurred and there is a great deal of overlap and I have in fact mentioned some resources on more than one page.

I have been giving Problem Solving a great deal of thought recently – more on that in the coming weeks … and I am very much looking forward to seeing those coming to Jo Morgan’s Christmaths 2015

Mathematics Resources – New GCSE

Details of GCSE new content are on this page and a summary of the resources only can be found here. Both are part of the series on UK Assessment.

I have been looking further at some of the resources from the examination boards. In this post we will look at some of OCR’s Teaching and Learning Resources.

OCR Teaching Materials

OCR GCSE Teaching Resources

OCR GCSE 9-1 Check in tests

OCR GCSE 9-1 Check in tests

From OCR, it strikes me that the Check in tests will be very useful in KS3, consider the language of functionsfor example, the first questions could be used with students as young as Year 7. Full details of the Check in tests can be found in the Teachers’ Guide. Each test is of a similar format in that Questions 1-5 cover procedural calculations (AO1), questions 6-8 require the ability to reason and communicate mathematically (AO2) and questions 9-10 relate to problem solving tasks (AO3). There is also an extension task. Very usefully (thank you OCR) the Check in tests are also available in Word Format.

OCR PowerPoint - HCF & LCMStaying with OCR, note the Delivery Guides which include useful links to resources and a series of PowerPoints including questions with answers (always so useful for busy teachers!).

I used the questions from this presentation with Year 7 (age 11-12) when we were studying highest common factors and lowest common multiples.


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OCR Guide - Problem Solving

OCR Guide – Problem Solving

OCR’s Skill Guides include this OCR Problem Solving Guide , an excellent discussion on problem solving strategies, including examples and answers.

Contents

OCR Twitter

#OCRMathsPuzzle

You can follow OCR Maths on Twitter and note the hashtag #OCRMathsPuzzle for some good problems!

Colleen Young x 2 = #hcsmca: Maths and Health

By @ColleenYoung and @colleen_young

(@colleenyoung’s post: Colleen Young x2 = #hcsmca: Maths and health)

Also published on HealthWorks Collective

colleen-uk

@ColleenYoung

@ColleenYoung: On Twitter a mere underscore differentiates our identities. Add an underscore to my Twitter handle @ColleenYoung and you will meet @colleen_young  an Online Community Strategist; Engagement Specialist; Speaker; Founder ; Board Advisor ; Director of Community , Stanford . Two such similar Twitter handles means I sometimes get some rather interesting tweets about health care which I enjoy reading; I also reroute the misdirected tweets to the other Colleen!

Being pulled into Colleen’s world of health, community and #hcsmca got me thinking about how our worlds intersect and we thought we really ought to join forces!

There’s more reason to unite Mathematics and health than to separate them. As Dean Schlicter wrote “Go down deep enough into anything and you will find Mathematics. ” Let it be so for Mathematics and health. A quick search discovers a set of 5 lessons using biomedical science to study math and extend the maths curriculum at the secondary level (ages 11-16). The lessons “show how maths underpins cutting edge biomedical research. They also introduce students to important ethical issues.” (1)
 ….
Since connecting with Colleen (of #hcsmca-fame) I have been keen to find further resources linking Maths and Health related subjects; many of the students at my school go on to study Medicine in Further Education. You will find some excellent resources at the end of this post.
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@colleenyoung

@colleenyoung

@colleen_young: Understanding numeracy is integral to improving health literacy. As Russell Rothman et al. explain in their Perspective: The Role of Numeracy in Health Care, many people with adequate reading ability have poor numeracy skills.

Many health-related tasks, such as reading food labels, refilling prescriptions, measuring medications, interpreting blood sugars or other clinical data, and understanding health risks, rely on numeracy.These tasks often require patients to deduce which mathematical skills to use and then to use these in multi-step fashion. Patients who had difficulty learning math skills during their primary education may now be too intimidated or simply unable to call upon these skills. For patients with chronic illness that rely on self-management to safely and efficaciously self-administer treatments this is particularly relevant and may place patients who lack adequate numeracy skills at increased risk for poor health outcomes. Numeracy may be a unique explanatory factor for adverse outcomes beyond the explanations provided by overall literacy.” [2]

Since October is health literacy month and by extension health numeracy, we decided to increase the Colleen factor to the power of 2 on #hcsmca this week. Join us on October 21 at 1pm ET and 6pm BT for a discussion on health, numeracy and maths.

Twitter chatColleen Young x2

  • T1: What numeracy skills are increasingly being required of patients and family caregivers?  
  • T2a: What actions/projects/solutions have you seen in health and education to improve the public’s health numeracy level? Examples
    T2b: Can social media help improve health numeracy? How? 
  • T3: Who on Twitter has brought you into their world and led to thinking about your area of interest differently? How?

References

[1] Motivate, Millennium Mathematics Project, Cambridge University http://motivate.maths.org/content/MathsHealth/

[2] Rothman R, Montori V, Cherrington A, and Pignone M. Perspective: The Role of Numeracy in Health Care. Journal of Health Commun. 2008 Sep; 13(6): 583–595.


Resources & Reading

Motivate - Maths & Our Health, supported by The Wellcome Trust

Motivate – Maths & Our Health, supported by The Wellcome Trust

From Motivate – Maths and our Health, five resource packs based on topical issues in biomedical science which support and extend the maths curriculum at secondary level (11-16 year-olds).

Note the link from Motivate to Plus Magazine’s Do you know what’s good for you? which is a series of articles, podcasts and interviews aimed at older students, teachers and general readers for a project funded by the Wellcome Trust exploring the role of mathematics and statistics in the biomedical sciences.


Nrich - Vaccination Game

Nrich – Vaccination Game

From Nrich we have STEMNrich where you will find a variety of resources, you could investigate epidemics for example or study the Influenza Virus and how it spreads. There are more resources on Disease Dynamics here, looking at substitution into formulae with Year 7 (UK age 11-12) vaccination gameI used the formula given in the Vaccination Game resource, it worked really well to be able to talk to them about the real use of a formula.


Skills for Health Resources

Skills for Health Resources includes some questions testing basic numeracy which would be suitable for younger students. (Look under Using the tools).

From Hull University for nursing students – Maths for Healthcare Professionals

Cardiff University – Maths Support Service – Maths for Health Sciences

Maths in Health Sciences – recommended resources from The University of Brighton


Further Reading


5 a day…and finally – I cannot resist mentioning here the very aptly named 5-a-day from Mr Corbett which I have telling my students for some time now is very good for their Maths health!

These resources do include basic numeracy questions as well as more advanced Mathematics questions.

Mathematics Conversations

There are many useful conversations on Mathematics on Twitter. Now just in case you hate Twitter or have no interest in it – you can still follow useful conversations and follow links to resources without even signing up to Twitter. I find Twitter a little like a lucky dip – usually in just a few minutes I find useful resources or the latest educational news.

For Mathematics teachers I would recommend the following:

Q3 Resources#slowmathchat  where different questions are posed for discussion; you can read more about the origin of #slowmathchat and how it works on Michael Fenton’s Reason and Wonder. A complete archive of all the questions and answers is available too.

#mathsTLP for lesson planning, a Sunday night chat but you can of course view at any time and many teachers share useful resources / ideas that work in the classroom.

Select image for resource on TES

Select image for resource on TES

Each weekly chat is very clearly archived on Ed Southall’s Solve My Maths.
Talking of Solve My Maths, I do love Ed’s Mr Men!

Mr Men Ed Southall

Mr Men – Ed Southall

All the links above to Twitter list the tweets in time order (Live); note that you can choose Top or Live;

Top & Live

Further useful Twitter people and hashtags to follow:

Craig Barton TESMaths

Diagnostic Questions

#mathschat for UK education and #mathchat for US education

#MTBoS for converstaions from the Math Twitter blogosphere

#maths and #math for general UK & US tweets on Mathematics

@Desmos for the latest on the fabulous graphing calculator

@Wolfram_Alpha and @WolframFunFacts
WolframFunFacts

MathsCareers

MAA – Mathematical Association of America 

Association of Teachers of Mathematics

If you are interested in learning more about Twitter see the very clear Twitter Lingo guide from Mashable and Russell Stannard’s training videos. And for a nice simple explanation try ‘Mom This is How Twitter Works’.

This page has been reproduced and added to the Reading series of pages, further updates will be published there.