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Use the applet to explore the area of a parallelogram and how it relates to vectors.

Learn how to make a simple table using Excel.

Investigate polygons with all the vertices on the lattice points of a grid. For each polygon, work out the area A, the number B of points on the boundary and the number of points (I) inside. . . .

Learn how to use Excel to create triangular arrays.

Account of an investigation which starts from the area of an annulus and leads to the formula for the difference of two squares.

If you take two integers and look at the difference between the square of each value, there is a nice relationship between the original numbers and that difference. Can you find the pattern using. . . .

Learn how to use advanced pasting techniques to create interactive spreadsheets.

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Use Excel to find sets of three numbers so that the sum of the squares of the first two is equal to the square of the third.

Learn how to use logic tests to create interactive resources using Excel.

What would you do if your teacher asked you add all the numbers from 1 to 100? Find out how Carl Gauss responded when he was asked to do just that.

Draw a pentagon with all the diagonals. This is called a pentagram. How many diagonals are there? How many diagonals are there in a hexagram, heptagram, ... Does any pattern occur when looking at. . . .

One of the articles supporting STEM teaching in the classroom.

This article explains how credit card numbers are defined and the check digit serves to verify their accuracy.

Class 2YP from Madras College was inspired by the problem in NRICH to work out in how many ways the number 1999 could be expressed as the sum of 3 odd numbers, and this is their solution.

Some of our experiences of discovering and using triangle numbers in a range of contexts.

In this article, Alan Parr shares his experiences of the motivating effect sport can have on the learning of mathematics.

Infinity is not a number, and trying to treat it as one tends to be a pretty bad idea. At best you're likely to come away with a headache, at worse the firm belief that 1 = 0. This article discusses. . . .

Use an interactive Excel spreadsheet to explore number in this exciting game!

Take any whole number between 1 and 999, add the squares of the digits to get a new number. Use a spreadsheet to investigate this sequence.

Choose four numbers and make two fractions. Use an Excel spreadsheet to investigate their properties. Can you generalise?

Learn how to use conditional formatting to create attractive interactive spreadsheets in Excel.

This selection of problems is designed to help you teach Surface Area and Volume.

Need some help getting started with solving and thinking about rich tasks? Read on for some friendly advice.

6: Introducing and developing STEM in the classroom.

Use an Excel spreadsheet to investigate differences between four numbers. Which set of start numbers give the longest run before becoming 0 0 0 0?

This article stems from research on the teaching of proof and offers guidance on how to move learners from focussing on experimental arguments to mathematical arguments and deductive reasoning.

Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.

Sanjay Joshi, age 17, The Perse Boys School, Cambridge followed up the Madrass College class 2YP article with more thoughts on the problem of the number of ways of expressing an integer as the sum. . . .

Read all about the number pi and the mathematicians who have tried to find out its value as accurately as possible.

In this article, Rachel Melrose describes what happens when she mixed mathematics with art.

Ranging from kindergarten mathematics to the fringe of research this informal article paints the big picture of number in a non technical way suitable for primary teachers and older students.

Spotting patterns can be an important first step - explaining why it is appropriate to generalise is the next step, and often the most interesting and important.

In this article for teachers, Bernard uses some problems to suggest that once a numerical pattern has been spotted from a practical starting point, going back to the practical can help explain. . . .

The Four Colour Conjecture was first stated just over 150 years ago, and finally proved conclusively in 1976. It is an outstanding example of how old ideas can be combined with new discoveries. prove. . . .

A collection of short problems on patterns and sequences.

Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry

7: Introducing and developing STEM in the classroom.

Understanding statistics about testing for cancer or the chance that two babies in a family could die of SIDS is a crucial skill for ALL students.

Here is a list of all the secondary problems connected with Factors and Multiples

Moving from the particular to the general, then revisiting the particular in that light, and so generalising further.

This article discusses the findings of the 1995 TIMMS study how to use this information to close the performance gap that exists between nations.

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.

This article gives a brief history of the development of Geometry.

Jennifer Piggott and Steve Hewson write about an area of teaching and learning mathematics that has been engaging their interest recently. As they explain, the word ‘trick’ can be applied to. . . .

The third of three articles on the History of Trigonometry.