Starting with the mathematics Primary

1. Starting with the mathematics Primary

2. What digital technology or software might you use? • Whiteboards - (SMART and Promethean) • Spreadsheets • Calculators • Visualisers • Dataloggers • Flip cameras • Interactive teaching programs

3. Sometimes, always, never true? A trapezium cannot have a right angle Triangles can have two obtuse angles A quadrilateral can have a reflex angle A Rhombus is a regular shape Triangles tessellate Quadrilaterals tessellate A triangle can only have one right angle at the most A pentagon has fewer right angles than a rectangle

4. Multiplication challenges • 23 x 64 gives the same answer as 46 x32 (everything written in reverse order). Can you find other pairs of two digit numbers with different digits that work like this? • 13 x 13 = 169 and 31 x 31 = 961 (use split screen to model). Can you find other two digit numbers less than 20 which give answers in reverse order when they are reversed and multiplied by themselves?

5. Clock face investigations • Draw a clock face with the numbers 1 – 12 on their usual positions • Can you draw a line so that the numbers on one side of it add up to the same as the numbers on the other side? • Can you draw a line so that the numbers on one side of it add up to twice the numbers on the other side? • Can you divide a clock face into three parts so that the hour numbers in each part add up to the same? • Can you draw a line so that the numbers of one side of it add up to five times the numbers on the other side?

6. Making predictions Choose 3 single digit numbers Arrange them in this number sentence to make as many different multiplications as possible ☐☐ x ☐ = Predict which multiplication will give the highest answer. Could you predict correctly with any 3 digits? What if… You use 4 digits in this multiplication ☐☐☐ x ☐ = or this ☐☐ x ☐☐ = Or 5 digits?? Any number of digits?

7. The yogurt challenge • You need eight yogurts for the family lunch. There are four flavours and you need at least one of each of the flavours. • How many possible variations of yogurt selection are there? What does each selection cost? • Vanilla delight 29p • Chocolate chunkie 35p • Strawberry heaven 39p • Toffee turmoil 34p

8. A scoring challenge • In a computer game you score 7 points for every phial of potion and 11 points for every jewel you collect. There is no limit to the number of jewels and phials of potion you can collect. What scores less than or equal to 100 can you NOT make?

9. Key questions… How does the technology support the development of specific mathematical ideas?... + and - How does the technology support the process of doing mathematics? ... + and – Who should decide what technology should be used? What decisions will need to be made?

10. What is the role of the ICT in developing the learning? • Learning from feedback • make conjectures, test out and modify ideas • Observing patterns and seeing connections • generate many examples quickly patterns, generalisations • linking tables of numbers and graphs; change one thing & see effect on another connections • Developing visual imagery • manipulate diagrams dynamically; develop mental imagery • Exploring data • manipulate data; support interpretaion and analysis • ‘Teaching’ the computer • design a set of instructions to achieve a result; explicit thinking • Primary mathematics with ICT: a pupil’s entitlement to ICT in Primary mathematics