Real Times Tables work by being the *only* product on the market that teaches times tables using spatial recognition, combines patterns *between* the times tables, and builds the bridge between concrete, pictorial and abstract in the Singapore Math approach.

#### Using both numerical and spatial methods

Recent research in neuroscience has shown children will have a greater understanding of mathematics concepts when using *both* numerical and spatial/visual processes to learn. As parents we have little control over how children will learn in the classroom, but we can safely assume there will be a combination of rote and strategic (chanting times tables and working on problem solving) learning. This product is designed to:

a) fill the gap where **visual** and **spatial** reasoning of times tables was not being introduced in the classroom; and

b) be aesthetically beautiful so they can be displayed in visually dominant areas of the household (or classroom).

#### Why traditional charts don’t work

Multiplication posters typically come in two forms, neither of which build a greater understanding in the student of the relationship between the tables:

1) A matrix of two axes of one to twelve where the points are the product of the axes. There is no visual display of the pattern of each table unless you are particularly interested in the squares.

2) A list of the discrete times tables, running from one to twelve.

Neither poster above uses **hooks** to attach the products to the students’ long term memory. There is no concrete connection to the real, physical world. Our **Real Times Tables – Make It Stick!** use clear overlays to demonstrate visually the relationship *between* the times tables and the patterns inherent in each one. When the clear overlay is placed on top of the number grid, it is obvious how the times table forms – pictorially.

#### Singapore Math

Furthermore,Â **Real Times Tables – Make It Stick!** embody the core concepts of Singapore Math to get the student up and running with their multiplication problem solving. Since implementing their Singapore Math program from years 1-6, Singapore has consistently topped the Trends in International Mathematics and Science Study (TIMSS) survey (Australia ranks 25th, the UK 27th and the US 35th).Â They use the concrete-pictorial-abstract approach, which was initiated after an intense study of successful overseas education systems following their own independence.

TheÂ **Real Times Tables – Make It Stick!** posters fill in the pictorial element (based on the concrete, or real-world knowledge) which emulates the physical world. This is why the numbers start at the bottom and work their way up to the top. As the students increase the count and ‘pile’ the numbers on, the grid acts like it would under gravity. The blocks on the grid could literally be translated into the real world.