Mathematical Miscellany #41

Angles
Following on form my post on Don Steward last week, it is wonderful to learn from SHaW Maths Hub that Don made arrangements for his blog to remain freely available. So his outstanding resources remain for Mathematics teachers and students.



Whiteboard.fi
For a free online whiteboard tool for teachers and classrooms try Whiteboard.fi. You can read about the features here and follow News and Updates. There are now Basic and Premium plans but the free plan does allow a temporary whiteboard (2 hours) with a link provided so students can join; it is also possible to insert an image as shown below. See Pricing.

Whiteboard fi Diagnostic Questions - White Rose AlgebraThe ability to insert an image is excellent, given that each student can only see their own board and the teacher’s it strikes me that Diagnostic Questions could be so useful here. Display the question, have students put their answers on their boards and the teacher will be able to see the responses of all the students. The image featured above is from the White Rose Maths Collection which features quizzes for each topic unit for their Years 1 to 8 maths mastery schemes of work. Remember there are numerous collections including GCSE questions from the examination boards and a collection of problems adapted from the UKMT Mathematical Challenges.


Maths At Home
Alison Clarke-Wilson shared this blog on Research-based Effective Online Teaching Strategies

Algebra KO extract Nicola Whiston

With revision and review of the year’s work a feature of this summer term, perhaps a good time to remind readers of of some Knowledge Organisers for Mathematics and their use.  This post includes Nicola Whiston’s collection of Knowledge Organisers which follow the White Rose Schemes of Learning, she is sharing the collection here, via Dropbox. These are really attractive and I think will appeal to students.

See also posts tagged Maths At Home.


The 100+ Best Website on the Internet – MakeUseOf
From MakeUseOf, a comprehensive list of The 100+ Best Websites on the Internet in helpful categories. I am pleased to see WolframAlpha in there and noted a query type I had not seen before – simple word problems. See more examples of Word Problems.
(and All Examples by Topic).
Word Problem


Information is BeautifulA reminder of the very beautiful data visualization site, Information is Beautiful; learn via some amazing infographics. Their main coronavirus graphics are interactive and generate themselves from the latest data.


More Maths at Home – AMSP

The AMSP (Advanced Mathematics Support Programme) has developed resources to assist teachers and students during school and college closures. The resources focus on target groups of students to support their progression from Year 10 to Year 13 (ages 14-18) and beyond.

AMSP

Note the menus for Students and Teachers at the top of the page which help you find appropriate resources. Choose the Student menu, then the appropriate option for the level of study.

amsp year 10For Year 10 enrichment activities are available. The student files are a series of slides which a teacher could present online or students could use independently. Teacher notes are available for each activity. The Collatz Conjecture slowed the writing of this post! A great activity, I like the Numberphile video from Alex Bellos which provides a wonderful introduction to the activity.

Whilst preparing our Year 10 students for further study looking at interesting mathematics like this, particularly in the current situation, will add variety to their work at home.

amsp year 11For Year 11 GCSE to AS and A level Mathematics transition resources will be so valuable. These resources on essential skills are really well structured, with a skills check, practise exercises with solutions, and a chance to explore some enrichment ideas. These materials should really help students prepare for A Level Mathematics.

See also MEI’s Support Resources page and schools can register with AMSP here.

Mathematical Miscellany #40

Jonny Griffiths Further RISPS

Jonny Griffiths investigative activities for the pure A Level Mathematics classroom are well known (details are included in the A Level resources pages, see RISPS.  He has now published Further Risps, forty rich tasks for the pure Further Mathematics classroom. In these unusual times Jonny has generously made the pdf version available free from www.further-risps.co.uk.

Two editions are available – a hard copy or pdf versionThe pdf not only provides the forty problems but also full teachers notes for each. The notes for each task begin with the topic or topics covered, identify the type of task, for example, introductory and state any preliminary knowledge required. This is a valuable resource for teaching Further Mathematics.

Investigating the first Risp on Matrices at the session this certainly would help students with fluency in finding the determinant of a matrix. Rich tasks like this can provide students with a greater understanding than just a traditional exercise and will hopefully stick for longer!

This has been added to the Teaching Resources section, part of the Further Maths series of pages.

Perhaps a good time to remind readers of all the Risp activities available.

RISPS
From Jonny Griffiths try RISPS (Rich Starting Points), Open-ended investigative activities for the A Level Pure Mathematics classroom. On the home page  note the helpful index by topic, choose a personal favourite of mine, Risp 21 Advanced Arithmagons for example and you will see not only the task but also teachers notes.

Also from Jonny Griffiths his companion sites on Statistics and Carom-Maths -activities to bridge the gap between A Level and University. Have a look at Carom-Maths -activities for any of your students going on to study Mathematics at University this year.

You can find a resource collection  from Jonny Griffiths on TES Resources.

Making Statistics Vital has some tasks which could be excellent for the current A Level specification, look at the this task on World Wide Statistics for example which includes the task with answers and a spreadsheet with data for 191 countries.

Making Statistics Vital



On the subject of Transition, this time from GCSE to A Level, Colin Hegarty is releasing free lessons recorded on YouTube (and live daily) to help students prepare for A Level, Mathematics.

The announcement here was made on 22nd April, the live lesson was broadcast at 2pm that same day.
Hegarty A Level


ALutwyche InequalitiesRegular readers will know that one of my favourite TES resource authors is Andy Lutwyche, Andy has added more resources recently, have a look at his latest, always high quality resources. So many good resources – I’ll definitely be using these!


Same or Different?
Robert Kaplinsky shared ‘Same or Different’ from Brian Bushart.

What is the same what is different

Brian Bushart has created the site Same or Different which is for supporting mathematical argument in the elementary grades. Have a look, at the About page for further information on the Same or Different? routine


Set GameOne of the comments to the above tweet on Same or Different referred to the Set Game, I had the same thought when seeing images such as the triangles on the left above. The Set Game is a daily puzzle from The New York TimesHow many sets can you find? Click ‘How to play’ for the rules.

Perhaps a good exercise for all our students at home.


CPDI have mentioned CPD in posts recently, Hannah (@missradders)  has helpfully shared her latest padlet which has many resources for free CPD for teachers.


Back to school at home…

Some UK schools returned to work last week, for others it will be tomorrow, so perhaps a good time to remind readers of what is on offer to support home learning.
(See also Mathematical Miscellany #39, Maths At Home – Nrich, A Level Mathematics, have you seen…?, Bring on the Maths).

White Rose

White Rose Home Learning

Maths Genie
Maths Genie QuizA favourite site with many students is Maths Genie, launched on Tuesday 14th April, Maths Genie is providing Home School Support for students covering a range of abilities in three streams from Key Stage 3 (and high ability Key Stage 2) to high ability Key Stage 4. The resources are available now, see the Maths Genie Home Learning – You Tube Channel. Videos are available on YouTube and at the end of each week a recap lesson, and a mini online assessment are available from Maths Genie’s Maths Grader. (@mathsgrader on Twitter)


transum-venn-paint

Venn Paint – Transum Mathematics

transum-3-sets

I have often mentioned Transum for its high quality, attractive resources. Given that there are an extensive number of self-marking exercises available, this can be a great source of activities for students to work on at home.

Have a look at these factor tree puzzles and note the tabs with the different exercises available.

index-teachers

Transum – Topic Index

The Transum site is easy to navigate, there is a clear Topic Index for Teachers also, for students a Maths Map with numerous activities to support their learning.
Transum Maths Map


Chalkdust Magazine

A good time to read a magazine perhaps, Chalkdust Issue 11 has just been released. You could find out how to cheat at cards with Kevin Houston, take a look at space-filling curves, find out about Weirdonacci numbers, or win goodies with the Prize crossnumber and much more. An entertaining read for curious mathematicians.  Chalkdust has readers of all ages and mathematical backgrounds, in their description for writers they suggest that articles should not be too difficult for an enthusiastic first year undergraduate to understand (but the starting level can be much lower than this).


…and two reminders for this coming week

From 20th April, ResearchEdhome promises us some wonderful cpd, beginning with Daniel Willingham.


For any of your students studying Physics, Warwick University are launching their Physics A-level Journal Club.

Mathematical Miscellany #39

I have often mentioned STEM Learning resources, we have their excellent selections for A Level such as the marking activities such as the one illustrated here many of which I have used successfully in class. This is one of Susan Wall’s resources; her excellent resources can be found in this Active A Level Mathematics collection on STEM Learning. ‘Marking’ is one of the many hand-picked resources by topic for Advanced Level. To quote STEM Learning “Each resource has been hand-picked to cover key subject content in Pure, Mechanics and Statistics, as well as meet the overarching themes of mathematical argument, language, proof, problem-solving and modelling.”

We also have resource collections for younger students, KS3 and 4.

STEM Learning - Home LearningSTEM Learning now have Home learning activities for families with resources to support primary students and for Secondary students, Maths, Science, Computing, DT and Post 16 resources are available.

STEM Learning - Maths Calendar

STEM Learning – Maths Calendar

Looking at Secondary Maths, we see a collection of games, activities and puzzles that can be used to support children’s mathematical education from home. This attractive calendar links to resources for each day of the term; follow the guide, or choose appropriate activities. No account is required for the home learning resources linked to on the Maths Calendar.

For teachers, below the calendar you will see resources including a section on STEM resources and NRICH activities where STEM Learning and NRICH have teamed up to link favourite activities from the NRICH website with resources on the STEM Learning website.


ComanwebGraham Colman is publishing 4 questions a day, with answers provided in his Easter 2020 collection. As you can see he has provided an easier GCSE question, a harder GCSE question, “something interesting” and one A level question.


And watch this space, for we have coming soon …

A favourite site with many students is Maths Genie. Launching after Easter, from Tuesday 14th April, Maths Genie will be providing Home School Support for students covering a range of abilities in three streams from Key Stage 3 (and high ability Key Stage 2) to high ability Key Stage 4. A provisional timetable is available now and you can see from the description on Maths Genie, the careful structure which will be provided:  

It is important that students continue to learn when the schools are closed. In order to support home learning, after Easter (April 14) Maths Genie Home School will be launching. This will be a structured set of lessons to revise learning from school as well as introducing some new content. Each school day at 10.30 am a video will be launched to explain a maths topic and provide practice questions. Videos will premiere on YouTube and will be available on this website immediately after. At the end of each week there will be a recap lesson, and a mini online assessment from Maths Grader.


From 20th April, BBC Bitesize will be supporting students learning at home. Regular daily lessons in English and Maths, as well as other core subjects will be provided in an expanded version of the BBC Bitesize website and also on special programmes broadcast on BBC iPlayer and BBC Red Button.


From 20th April, ResearchEdhome promises us some wonderful cpd, beginning with Daniel Willingham.


For any of your students studying Physics, Warwick University are launching their Physics A-level Journal Club.