From the archives…

Looking at blog statistics, I see regular searches for the still really useful Tarsia software, which I first wrote about back in 2010; there are many resources available, Craig Barton has a section of his website devoted to Tarsia – note all the ideas here for using Tarsia in the classroom and TES Resources host an extensive collection of Tarsia Puzzles.

Remember you have a choice of resources you can produce from a table, illustrated here is an extract from a Domino activity on logs.


Another post popular this week is on GeoBoard activities, the post includes various online GeoBoards and some great c; classroom activities.

Trangles on a 3x3 piboard
National Strategies – Exemplification Examples: Geometry and Measures
Mathisfun – Area of Polygon by Drawing

Summer Maths 2023 updated…

I have recently updated the Summer Maths 2023 post to include the following ideas and resources:

From ATM, see the Summer Solvers series, For Twitter users these are tagged #summersolvers. Each day in August, at 10 am, ATM are posting a problem from their archives for a range of age groups, we have problems to work on for KS2 to KS5 (UK ages 6 – 18).

For August 4th we have Number Spirals, from 30 Years On, a collection of classic mathematical ideas and activities. Note that you can look inside the book and the pdf includes 2 problems, Fractional Triangle and Number Spirals.

ATM – 30 years on
Dietmar Küchemann – Geometric Sparks, created on Autograph web

August 4th: from Geometric Jolts see this post, Geometric Sparks also Dietmar Kücheman’s blog.

August 3rd Fault Lines from Points of Departure – I recall using Points of Departure when GCSE coursework first appeared!

    …and on the subject of GCSE coursework, there are some classics in this old Edexcel document. Who remembers T-Totals and Opposite Corners?!


    For many investigations, see this series of pages. Anyone for Diffy?


    Spot the Mistake

    I read with interest, this post from The Learning Scientists, “Learning Math from Errors” on a paper by Deanne Adams and colleagues that demonstrates learning from errors.

    What I think is neat about this paper is the researchers gave students erroneous math examples (specifically, decimals, which can be hard for middle schoolers) rather than waiting for them to make the errors themselves. The researchers also required the students to identify explanations for the errors (like elaboration through self-explanation) and correct the errors themselves.  They compared this learning condition to what appears to be the standard in math: solving practice problems.

    Megan Sumeracki – The Learning Scientists

    The results whilst showing no differences between the two groups on the immediate post-test did show a better performance by the students in the erroneous examples condition than the students in the problem-solving condition on the one-week delayed post-test.

    I have always found it valuable to use resources where students identify and discuss errors, and have checked and updated this collection of resources – Spot the Mistake.

    sim eq
    Andy Lutwyche


    Reading

    The reading series of pages is devoted to various reading materials – most of which are free!

    I have added a new page to easily access the recent Ofsted publication, Coordinating mathematical success: the mathematics subject report, a new subject report into maths teaching has been published by Ofsted, See NCETM’s news item including a one-minute video summarising the main findings.

    Mark Hayes

    Mark Hayes has produced a very clear written and visual summary.

    Charlotte Hawthorne has very helpfully produced the Ofsted report as a Word document and also a pdf.


    Looking at the Books (free) page, note GMAT Foundations of Math – 900+ Practice problems (see also GMAT Math Practice).

    Recently added to the page, published in 2023, Mathematics Curriculum Reforms Around the World, the 24th ICMI study is an Open Access publication which can be downloaded for free.

    For puzzle fans perhaps try Henry Ernest Dudeney’s puzzle collection.

    Mind Hurdles

    Looking at the free Kindle offerings, these include Mind Hurdles: Mystery Number – a set of ‘number mysteries’, one or more of which would make a good lesson starter and Henry Ernest Dudeney’s – Amusements in Mathematics a puzzle collection (with solutions). The first set of puzzles will offer a trip down memory lane for those who remember money – pre-decimal! There are several categories of puzzles available.

    And do make sure you have Colin Foster’s KS3 books in your collection.

    Colin Foster - Instant Maths Ideas
    Colin Foster – Instant Maths Ideas

    Remember that Colin Foster’s KS3 Instant Maths Ideas (3 books) are freely available online; these contain a wealth of ideas to try in the classroom. Colin Foster is a Reader in  Mathematics Education at the Mathematics Education Centre at Loughborough University. Read Colin’s blog here.


    The research pages include many useful summaries.

    For example, George Stone’s (@DrStoneMaths) one slide summaries of interesting educational research papers.

    On the subject of Interleaving, remember the Practice Guides by Cognitive Scientists available from the Retrieval Practice Library.

    Retrieval Practice Library – retrievalpractice.org

    Mathematical Miscellany #86

    A mathematics resources compilation:

    Webmaths – Year 12 “3 a day”

    On Webmaths, new for A Level Maths, “3 a day” for Year 12 Maths; these resources look excellent; solutions will follow. You can also find Year 13 3 a day.


    Rob Southern – Year 12 revision sheets

    Staying with excellent resources for Year 12, Rob Southern has revision sheets for Year 12.


    Still with A Level, remember that AMSP’s Mathematics Topic Plans cover the whole of the AS/A level Mathematics specifications. These comprehensive documents include links to easy-to-use resources, including technology-based teaching files and student tasks, suggested questions and prompts to promote mathematical thinking and reasoning. and identification of common student errors

    There are many excellent resources chosen in these topic plans, for example, we have Ab-surd! from Underground Mathematics.


    Pearson’s short ‘how-to’ 28 Key Topics videos for GCSE are designed to support post 16 students preparing for November exams. We can countdown to the November exams on Mathsbot!


    From the Calculator Guide, another very helpful video for the new Casio fx-991CW Classwiz Calculator on Calculating & Solving Functions. See Casio ClassWiz 2023 for further information on the new Casio calculators.


    Coordinating mathematical success: the mathematics subject report,, a new subject report into maths teaching has been published by Ofsted, See NCETM’s news item including a one minute video summarising the main findings.