Top Tools for Learning 2016

The Top Tools for Learning 2016, inlcuding top tools for Education. This is what the educators think. Students what do you think? What are your favourite tools for learning?

Mathematics, Learning and Technology

Jane Hart is the Founder of the Centre for Learning & Performance Technologies and 2016 marks the 10th year of her annual Top 100 Tools for Learning list. Jane has put together all the presentation slidesets as well as an alphabetical list of ALL the tools which have appeared on any of the lists.

The 2016 slideset is shown here.

Note from Jane’s overview she has done a finer analysis for 2016 including the Top 100 Tools For Education (for use in primary and secondary (K12) schools, colleges, universities and adult education.)

Back in April, I wroye about my own choices for 2016 and I am always interested to see where my own choices are in Jane’s list.

CY 2016 votes Education Personal Learning & Productivity Place in Top 200 2016  Place in Top 100 Tools for Education 2016
Evernote x x  17  27
WordPress x x  9

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Mathematical Advent Calendars

Students try an alternative to chocolate – mathematical Advent calendars up to Advanced Level, and note the Primary calendars from Nrich if you have little siblings!

Mathematics, Learning and Technology

It’s that time of year again…!

Nrich Advent Calendars Nrich Advent Calendars

December means Advent Calendars and Nrich have published two Advent Calendars, one for Primary and one for Secondary each containing twenty-four problem-solving activities, one for each day in the run-up to Christmas. The primary Calendar tasks focus on encouraging mathematical habits of mind and the Secondary tasks have been chosen to encourage mathematical creativity.

You can in fact find a whole collection of advent calendars on Nrich and clearly the year doesn’t matter! Note the different themes available – a Sudoku for each day perhaps? Or a tangram? Maybe you want to play a game? 

Advent calendar Alex Pett Advent Calendar by Alex Pett

Alex Pett created his advent calendar complete with history and problems for each day. Alex has provided a pdf version or use as aGoogle document. For an Activeinspire resource this version also has sound.

revision-calendarAlternatively how about this

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GCSE Revision Resources

For some excellent GCSE (UK age 15-16) revision resources explore this collection. Thank you so much to the teachers who create these resources and make them freely available.

gcse-question-example

Jonathan Hall has a bank of GCSE questions. on his site; note that you can show solutions for these questions. Also on this site – you can create a practice paper with your chosen topics and the number of questions you want. If you would like a random collection you could also try his Revision Grid.

mathsbot-revision-grid

Mathsbot Revision Grid – Jonathan Hall


9-1-revision-book

From Steve Blades, have a look at his very helpful 9-1 GCSE Help Book. Note that you can download the book (52 pages) free.

For more resources see Steve Blades’ site www.m4ths.com;on the GCSE page Steve has a section (near the end of the page) of eBooks, and one of those is on GCSE Higher wordy questions. See also Steve’s Think like a problem solver and mathematician book.
m4ths


mr-carter-mathsMr Carter Maths – for lots of practice questions. Select Differentiated Topics to see the selection available. If you want to practise this new topic – Iteration; this is the direct link.iteration-mr-carter-maths


flashcardsOn Tanner Maths you will find Flashcards for the new specification – choose A4 or A5.


Many of these resources are also very useful. Check with your teacher the detailed content for your specification.


Underground Mathematics

exponentials
For many challenging questions to really get you thinking, try the brilliant Underground Mathematics site. You can follow them on Facebook or Twitter too.

underground-mathematics

thinkig-about-algebraYou can search by Station, suppose you want to practise your Algebra – try the Thinking About Algebra Station for example where you will find everything from Equation Sudoku to some challenging Surd manipulations.
nested-surds

On the subject of surds – try Scary Sum!
scary-sum

If you create a (free) account you can save and categorise your favourite resources.

There are many Underground Mathematics Resource Types. Try the Review Questions for example, which in the words of the Underground Maths Team:

These are questions designed to test students’ understanding of one or more topics and to exercise their problem-solving skills. In many cases they can also be used as a classroom resource to help teach concepts and methods. They are mostly drawn from past examination questions and have been chosen as ones that are interesting in nature and require non-routine thinking. The hints and solutions are designed to explain the reasoning and highlight connections as well as giving the answer. In many cases, alternative methods or solutions are presented.

review-question-types

Note the various question types available; these include very challenging questions for students age 16+.

oxford-mat-example

Select image for question & solution


The Oxford MAT collection includes an extensive selection of Multiple Choice Questions.

O/AO-level questions are included. These questions provide excellent challenge for sudents aspiring to the top grades for examinations taken at age 15-16 and beyond..

Can we fully factorise x4+4y4?
Starts with a Show that….
We could get very sophisticated and look at those quadratic factors too; useful for those studying the Level 2 Further Mathematics Qualification.

Can we simplify these algebraic fractions?
Review algebraic fractions

Can we simplify these simultaneous equations of degree 1 and 2?
Solve simultaneous equations. We will need to factorise a quadratic in this problem with a coefficient which is not 1 for the square term. My students and I are fans of the Box Method where a factorisation cannot easily be done by inspection.

 

Calculators & Tools

casio-modelsNote the updated Calculators and Tools series of pages including a page for Calculator Manuals.

All pages:

have been checked amd updated.

A new page on Collections has been added which will be updated …

The ultimate Calculator has to be WolframAlpha which as you can see has a page of its own with several slideshows to help you learn how to use it.

For drawing and exploring graphs, use the outstanding Desmos Graphing Calculator.

Mathematics – Transition Time

With the new academic year approaching are you about to start advanced level studies? Or perhaps you are heading off to university?

This post, Transition Time has been updated with new resources and has many useful questions and activities to help you prepare for your next stage of study.

Note in particular the addition of Underground Mathematics and Jonny Griffiths’ Carom Maths.
underground-mathematicsCarom Maths

Mathematics in the Movies

Mathematics, Learning and Technology

FB_IMG_1469860050102 Photograph by David Young

At the wonderful National Cinema Museum, Turin – holiday time this week!

Thinking about Maths in the movies led me to this great collection of movie clips featuring Mathematics from Harvard University.

We must of course include Abbot & Costello showing that 7×13=28!

Mathbits.com includes a section on using movie clips in the mathematics classroom. The site suggests several possible movie clips to use and has accompanying worksheets. The Abbott & Costello clip mentioned above is included, the MathsBits worksheet is here.

Donald in MathMagic LandI loved Donald in Mathmagic Land as a child.

For a series of excellent articles see Plus Magazine’s Mathematics in Films.

For a very comprehensive database of mathematics mentioned anywhere is a movie try MMDB – The Mathematical Movie Database from Burkard Polster and Marty Ross.

From Numberphile, Math and Movies (Animation at Pixar) we learn how 3D aminated characters…

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A perfect day…

28th June is a Perfect Day to enjoy some Mathematics!

perfect numberPerfect because 28 and 6 are both perfect numbers. You can easily check for properties of any number with Tanya Khovanova’s Number Gossip where we learn that 28 does not only have the rare property of being perfect, it is also composite, even, happy, odious, practical, triangular and Ulam! You can browse all the properties here.

28 is also happy! Happy Numbers – a favourite investigation, Dr Who knows about happy primes!

It’s also National Tau Day! Pi is wrong…..
This video provides a short version of the Tau Manifesto (14 minutes)

Spreading the Desmos Love!

Spread the Love

Have a look at this Desmos page (or select the image).

Before you take a peek in the Love folder, can you identify the functions used  for the various letters?

Love folder

Love imageThis came about because of a Twitter conversation. @WillWhittow, Admissions Tutor & Senior Lecturer at Loughborough University shared this image.  I replied that we should do some dancing too!

Desmos Dancing

 

 

Dancing Desmos 2

 

 

 

 

And Desmos thanked us both for spreading the love!

Spread the Love 2

 

 

 

 

 

For more on Desmos – see this series of pages.

MadAsMaths

A great source of questions and full solutions for the Pure Maths content of A Level exams.

Mathematics, Learning and Technology

MadAsMaths MadAsMaths

One of my students told me recently about MadAsMaths by Dr Trifon Madas. She likes the Practice Papers, particularly the way the papers are rated according to their difficulty, see C1 for example. All papers come with full solutions.

MadAsMaths question & solution MadAsMaths question & solution

Not only do all the questions come with full solutions but most have very clear mark schemes too.

MadAsMaths mark scheme example MadAsMaths mark scheme example

MenuThe papers cover the Pure Mathematics content of the UK A Level course. Note the Special Papers designed for extremely able students; ideal for students capable of the top grades. This is a really valuable collection of questions.

There are further questions and solutions available in the large collection of booklets, originally samples they are free to use. These are pdf files, if you zoom you will see a clear solution as illustrated in the image here. Some of these booklets are aimed…

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