This resource from Susan Wall contains a number of open–ended questions which explore understanding and allow a variety of approaches.

Each question is easily accessible but can be extended to make a more complex problem. Students are required to justify their answer and, where possible, generalise their...

In this section you can see learners engaged in activities that promote mathematical discussion and explore your role in managing discussion with your own learners.

Introduction
Discussion is an excellent way for learners to rehearse their understanding and to learn from each other. Teachers often say...

Thinking about learning focusses on five aspects of effective practice that teachers and trainers have found to be particularly important in promoting successful learning: questioning, discussion, using misconceptions, assessment and meeting the needs of all learners. Selecting each of these aspects will allow you...

In this section you can see teachers and trainers using a range of questioning techniques.

Introduction
Teachers and trainers ask questions for a variety of purposes. Questions can be used to keep learners engaged during an explanation, to assess their understanding, to deepen their thinking or focus...

This video explores how technology has always been expected to replace teachers.  It concludes that a teacher’s purpose is not to transmit information, but to guide the social process of learning. To challenge, inspire and excite their students to want to learn.

In this Core Maths task students explore the question ‘On average, how many throws does it take to throw a six?’ Through this activity students can gain an understanding of ‘expectation’ as well as learning how to calculate summary statistics when the data is given in a frequency table.

Throwing a...

Tin cans come in a variety of shapes and sizes. In this activity students consider the net of a tin can, the formula for the total surface area and the formula for the volume of the can. The first problem requires students to express the total surface area as a function of r by eliminating h. The second problem...

This study, from the Nuffield Foundation, is a follow-up to the report 'Is the UK an outlier?', which examined mathematics education provision in 24 different countries and revealed that England, Wales and Northern Ireland have the lowest levels of participation in upper secondary mathematics. They were the only...

This interactive excel program allows students to explore the relationship between the transformation of functions and the associated graphs. Functions explored are straight lines, quadratic and cubic functions as well as sine and cosine curves. Each type of function...

This interactive excel program allows students to explore the relationship between the transformation of functions and the associated graphs. Functions explored are straight lines, quadratic and cubic functions as well as sine and cosine curves. Each type of function...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of functions including translations, stretches, reflection in the axes and rotations.

The first activity uses function notation to explore translations parallel to the x axis and...