Learning and achieving together... ...in the Newark, Bingham and Southwell areas
Learning and achieving together......in the Newark, Bingham and Southwell areas

Learning mathematics: a concrete experience building conceptual knowledge

Learning mathematical principles and applying them in a context presents learners some real challenges. The curriculum for mathematics for learners is broad in range, and deep in it's use; what does that mean for you and your child?


At it's simplest, we learn about mathematical ideas through 'real' experiences that can be shown, handled and used in practical life. From this 'concrete' foundation, we use procedures to create an order and process to use those ideas; the walls and rooms of our knowledge. Finally, and most difficultly, we create a 'roof' of conception that holds our knowledge and understanding together.


For many children, if any 'bricks' of understanding are missing or unstable, difficult concepts can be a problem to understand and critically apply. Our teaching is focused on building those foundations and using the bricks of understanding to provide our children with a solid home of mathematical understanding.  To help you understand our techniques so that you can support your child, these are our core areas of learning:

Our maths teaching encourages...

numbers and counting


Understanding how numbers are made, what value they have, and how numbers link to each other.


Understanding and using numbers when they are very small or very large.


Recognising the value and size of numbers, when the numbers are shown in different ways.


Recognising numbers when shown in more complex ways (for instance fractions, decimals and percentages).

calculating and relating


Understanding how calculations work, from concrete, through procedural to conceptual understanding.


Understanding the links between adding, taking away, multiplying and dividing.


How to understand calculations, from seeing and handling them, to organising them, and finally calculating them using 'traditional' methods.

shapes and measures


Measuring things in different ways, including time, weight, size and capacity.


Using the right way of describing the measures that are made.


Changing the recording of measures correctly when needed.


Recognising and describing shapes that are both two and three dimensional,


How to use mathematical skills to measure them in a problem.

Using and Applying Mathematics


Apply maths skills to word problems.


Think in more than one way to find a maths solution.


Uses several areas of maths at the same time to solve a problem.


Uses notes as a reminder to solve a problem.


Organises work sensibly and neatly.


Has a range of mental maths skills supporting activities.


Is confident with using times tables mentally.






11 plus Guide

In order to reach us

Integral Tutoring

West View, Town End Lane, Flintham

NG23 5LT

You can call us by

01636 526042  /  07539 724563