Maths Teaching. Nets (3D Models) S Origami Page - How to divide paper into thirds, fifths etc. Effective Teachers of Numeracy in Primary Schools: Teachers' Beliefs, Practices and Pupils' Learning. Paper presented at the British Educational Research Association Annual Conference (September 11-14 1997: University of York) Abstract This paper reports on part of a study examining the links between teachers' practices, beliefs and knowledge and pupil learning outcomes in the development of numeracy with pupils aged five to eleven.

From a sample of 90 teachers and 2000 pupils, we developed detailed case studies of 18 teachers. As part of these case studies we explored the teachers' beliefs about what it means to be numerate, how pupils become numerate and the roles of the teachers. 1 Aims of the study The aims of the study Effective Teachers of Numeracy, funded by the UK's Teacher Training Agency (TTA) were to: identify what it is that teachers of five to eleven year olds know, understand and do which enables them to teach numeracy effectively; suggest how the factors identified can be more widely applied.

The working definition of numeracy used by the project was a broad one: Table 2. Centre for Innovation in Mathematics Teaching - Mathematics Enhancement Programme. Recreational Mathematics. Solid shapes and their nets. Paper Models of Polyhedra. The Fibonacci Numbers and Golden section in Nature - 1. This page has been split into TWO PARTS. This, the first, looks at the Fibonacci numbers and why they appear in various "family trees" and patterns of spirals of leaves and seeds.

The second page then examines why the golden section is used by nature in some detail, including animations of growing plants. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 ..More.. 1 Rabbits, Cows and Bees Family Trees Let's look first at the Rabbit Puzzle that Fibonacci wrote about and then at two adaptations of it to make it more realistic. 1.1 Fibonacci's Rabbits The original problem that Fibonacci investigated (in the year 1202) was about how fast rabbits could breed in ideal circumstances. Suppose a newly-born pair of rabbits, one male, one female, are put in a field. How many pairs will there be in one year? At the end of the first month, they mate, but there is still one only 1 pair. The number of pairs of rabbits in the field at the start of each month is 1, 1, 2, 3, 5, 8, 13, 21, 34, ... Archimedean solid. "Identical vertices" are usually taken to mean that for any two vertices, there must be an isometry of the entire solid that takes one vertex to the other.

Sometimes it is instead only required that the faces that meet at one vertex are related isometrically to the faces that meet at the other. This difference in definitions controls whether the elongated square gyrobicupola is considered an Archimedean solid or a Johnson solid: it is the unique convex polyhedron that has regular polygons meeting in the same way at each vertex, but that does not have a global symmetry taking every vertex to every other vertex.

Based on its existence, Branko Grünbaum (2009) has suggested a terminological distinction in which an Archimedean solid is defined as having the same vertex figure at each vertex (including the elongated square gyrobicupola) while a uniform polyhedron is defined as having each vertex symmetric to each other vertex (excluding the gyrobicupola). Origin of name[edit] Properties[edit] Free Printable Math Worksheets For Kids. Math-Aids.Com | Dynamically Created Math Worksheets. Mr A, Mr C and Mr D Present KS2 Songs. Welcome Teachers, Children and Parents! We've been seeing huge numbers of hits from teachers lately but also a growing number of children and parents logging onto our blog, leaving comments and sharing songs with their friends. Thank you, one and all.This week Mr A, who is becoming more obsessed with funky beats by the day, has a song about fractions to help you understand a complex issue in maths.

Wait! Hold on! What's this? I hear Mr A and Mr D have collaborated on a song together....Well keep tuned folks, it'll be out before Christmas. Download the lyrics Fractions Frrrrractions x2I can't do fractionsYes you can Over half the battle is believingFractions might look tough They might leave you seethingBut just get through these teething problemsAnd keep persistent and resist the thoughtThat fractions are toughBecause you know - you can do itChorus Understand my fractions I understand my fractions, yeah I understand my fractions I understand my fractionsBut what do fractions look like?

Multiplication - Times Tables. The 12 Times Table Print one and put it on your wall, or paste it in an exercise book. How to Learn Your life will be a lot easier when you can simply remember the multiplication tables. So ... train your memory! First, use the table above to start putting the answers into your memory. Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables. Use it a few times a day for about 5 minutes each, and you will learn your tables. Try it now, and then come back and read some more ... So, the two main ways for you to learn the multiplication table are: Reading over the table Exercising using the Math Trainer But here are some "tips" to help you even more: Tip 1: Order Does Not Matter Example: 3×5=15, and 5×3=15 Another Example: 2×9=18, and 9×2=18 In fact half of the table is a mirror image of the other!

So, don't memorize both "3×5" and "5×3", just memorize that "a 3 and a 5 make 15" when multiplied. This is very important! Some Patterns More Help. Division Facts with Remainders. Pop-up Math Division. Dice Roller. Virtual Dice. NRich. Teachers Primary Pupils Secondary Students Events and PD "It gave me some good ideas to use in the classroom and ... a link that I can get all of the activities from. " Book NRICH Bespoke PDBook Forthcoming EventsBook our Hands-on Roadshow Your Solutions. Welcome to Math Playground. ITP Numeracy Strategy. Fuel the Brain Interactives | View Number Line.

Mathematics & Numeracy, Investigations & Word Problems for ks1 & ks2. Line-Ups Instructions for Line-ups These are good fun and can be used at the start of a lesson as a recap or at the end of a lesson as a consolidation. They create a considerable amount of mathematical discussion amongst the children. Give a card to each student; the teacher decides whether the front of the classroom is the smallest number to the back being the largest number; the children have to line up from front of classroom to back in order of their answers. Line-Ups can be played as a two-team race, as long as teachers give out 2 sets of cards labelled A or B or coloured differently; or Line-Ups can be played against the clock - the class has to try to beat its time on the next occasion.

Differentiation can be easily achieved, as with all games: by giving certain cards to particular children (i.e. more difficult calculations, concepts or wording) by having team A using easier cards and team B some harder ones and then racing! Line up 1. Problem Solving Teaching Ideas. Understanding Word Problems - Use your comprehension time to discuss strategies for understanding word problems! Teaching Problems - Some advice and tips for teaching problem solving to children. Bingo Investigation - Maths investigation based around a short play (scripts and information is included).

Nim! An interactive version of the popular puzzle game. Magic Squares - Can you children complete these magic squares? <A HREF=" More Resources: Trial and Improvement Worksheet (updated)