Bespoke is the national newsletter from the central Maths Hub team.
Bespoke is the national newsletter from the central Maths Hub team.
This website has 3 different puzzle styles on it- each is broken down into Explorer, Puzzler and Master.
The Mobiles puzzles focus on algebraic thinking and reasoning within a visually attractive and engaging format. The problems do get quite complex, but students can illustrate their thinking on screen by drawing and making notes with the pen function.
The Who Am I puzzles focus on properties of number, ranging from odd and even numbers through to harder divisibility laws, squares and cubes. These puzzles are currently under construction.
The Mystery Grid starts off basically as a Sudoku puzzle, although their complexity increases, with the introduction of inequalities, larger grids and in the Master Section, complex grids involving all 4 operatons. It is a real challenge for students with limited reasoning skills, but it is also very engaging- a Year 7 bottom set student went home and played on it for two hours after we did it in lesson!
This can be used by teachers and students to generate questions on a variety of topics, split into Bronze, Silver and Gold difficulty. It is particularly useful for those students who like to do lots of independent practice and learning at home to follow up what they have done in lessons.
This very useful website has fully interactive algebra tiles, bar modelling, Cuisenaire Rods and Dienes blocks, which are great for whole class discussions or independent computer work. Colours, lengths and number of ‘parts’ can all be edited. The website also has differentiated questions and AFL check-up for use in the classroom.
YouTube- Essence of Calculus Playlist (search on Youtube ‘Essence of Calculus Playlist’)
This playlist has videos that cover everything from the paradox of the derivative through to higher order derivatives and Taylor Series. Students could watch it before a lesson on a certain topic, as they explain topics in a thought-provoking way. As differentiation from first principles begins to appear on the new A-Level, this level of understanding and thought process has never been more important. Most videos are 15-20 minutes long
Videos in order:
1. The Essence of Calculus
2. The paradox of the derivative
3. Derivative formulae through geometry
4. Visualising the chain rule and the product rule
5. Derivatives of exponentials
6. Implicit differentiation- what’s going on here
8. Integration and the Fundamental Theorem of Calculus
9. What does area have to do with slope?
10. Higher order derivatives
11. Taylor Series
Operational Research (O.R.) is the science of better decision making.
O.R. enables individuals and organisations to clarify problems, define courses of action, improve operations and make informed decisions through analytics.
and so much more ..
Ideas that focus on using technology to support looking at different mathematical structures, to support or reveal a deeper understanding..
10 Bar random sums <10 illustrated on a bar model (any part of the number sentence can be hidden)
NB comparative bars & subtraction are also available on the same file
Fraction as a number a mixture of random and self-input fractions showing equivalence in different denominations and mixed number & vulgar fractions
NB- Values of parts or ratios can be selected to be shown or not
10 Bar interactive model of x+y=10 as a bar and as a line graph
x-squared interactive model of y=x2 shown as bars and as a point on graph
Circle thoerems: a series of simple geogebra files to allow interactive investigation of theorems
Representing the structure behind mathematics can help develop an understanding of arithmetic and/or algebra. This can also be linked with multiple representations of a concept as each of the illustrations below can be shown in alternative ways including number lines, sets & arrays of counters amongst others.
These are intended to provoke discussion amongst colleagues rather than to be used without thought or reflection with learners but SYMH would be happy to hear of colleagues' thoughts on these and if they have used any or similar models with learners to good effect.
You can also find here a series of resources that can be used with colleagues to discuss conceptual development and structures underlying some of the common techniques taught in number and algebra.
Click on each below link to download PDF
The UKMT Individual Maths Challenges are lively, intriguing multiple choice question papers, which are designed to stimulate interest in maths in large numbers of pupils. The three levels cover the secondary school range 11-18 and together they attract over 600,000 entries from over 4,000 schools and colleges. Link to official website
The Junior and Intermediate Challenges are aimed at pupils in the relevant year groups. The Junior challenge is for pupils at year 8 (England) or below and the intermediate challenge is for year 11 and below. The Senior Challenge is aimed at pupils aged 16-19 studying maths and not yet at University.
The Maths Challenge question papers are taken in school on the date shown above and returned to the UKMT for marking. The Senior Challenge takes 90 minutes and the Intermediate and Junior Challenges are an hour long.
The papers contain 25 multiple choice questions. Of these, the first 15 are more accessible whilst the final 10 will provide more food for thought. Gold, silver and bronze certificates are awarded to 40% of participants nationally in the Junior and Intermediate Challenges, and 60% of participants nationally in the Senior Challenge. The most successful participants at each level are invited to enter follow-on rounds; Kangaroos (multiple choice questions) or Olympiads requiring full written answers.
Locally some school integrate past questions into their lessons or homework to challenge pupils and prepare them for the style of questions. Below are links to PPTs containing some Junior level questions from previous years. They have been organise loosely into topic areas but often UKMT questions challenge pupils to consider maths in a non-standard way.
Just a few images that some may find helpful when describing calculations with negatives
Multiplying involves the concept of an "enlargement" operation.
Then the distinction between the multiplying effect of 1 (stays the same) and -1 (flips it over)
Which also works on negatives
...and so we can multiply by any sized positive or negative number.
Now I know I haven't included "taking away" negatives but my explanation takes more than one image to explain - but consider 5 - (-2). Since we know that 5 = 7-2, then 5 - (-2) can be written as (7-2) - (-2). Using this argument alongside appropriate diagrams with learners has proven to be succesful.
NCETM PD Lead Development and Accreditation Programmes (Early Years, Primary, Secondary, Advanced Level, and Core Maths)
This project is aimed at our Local Leaders in Maths Education. These are the local leaders who have signed up to develop further in there role. Please see our LLME page to show you how to sign up.
This is a programme of 3 face to face days over the course of 2019/20 together with institution-based work and individual study undertaken in between these days.
Participants will undertake to plan, run and evaluate a professional development programme for a group of teachers / practitioners* during the course of the 3-day programme and to record their planning, evaluation and reflection in an Accreditation Evidence Document (which includes a Programme Planning and Evaluation Template (PET), a Session PET and a Reflection and Learning Journal)
Successful completion of the programme and satisfactory completion of all tasks and related paperwork will result in the participant being accredited as a NCETM Accredited PD Lead.
An essential aim of the Maths Hubs Network’s is to promote high quality, collaborative professional development for all teachers of mathematics.
To achieve this aim it is important to ensure that there are enough people with the skills and capacity to lead, facilitate and support the professional development of others both within and across schools.This programme is part of a strategy to support the development of PD Leads across the network.
Download the application form on the attatchements section to apply now!