Visual Mathematics

Multiplication is approached from 8 different perspectives and representations, and both the translations and the transformations from and to other representations creates the opportunity for students to develop conceptual understanding. In this first section, you will see how students might approach multiplying a one digit number by one, two or more digit numbers using both a grouping strategy and the idea of decomposing numbers. Let me clarify. In multiplication such as 4 x 26, the first nu

Engage your students every day in representing the numbers 1 to 20 in a variety of representations. Both the color and black and white versions are included in the download. They are intended as templates for the board, or as a template students would slip into their see-through learning sleeves or a sturdy sheet protector. I will email you the word file if you are going to actually make changes under the condition you share with me the new template. Hope you enjoy using it. Ask about our on

This collection of 10 pictorial mathematics templates will help you engage students in visual representations of concepts such as: * Place Value * Decimals * Percents * Fractions * Graphing * Adding * Subtracting * 3-D drawing of geometric figures * Ratios and Proportions They are intended to be used with the Pictorial Math See-through Sleeve, but you can use any thick sheet protector instead. Using it with the Pictorial Math sleeve will allow you to re-use the same templates over and over wi

Two key challenges teachers facing teachers in the era of common core is to focus their teaching on conceptual development, and the other is to do though engaging active strategies. The use of multiple representations provides teachers with a path to meet both challenges. This PointPoint presentation was given at CMC, California's largest math conference. It make a compelling case for why teachers should make the use of multiple representations the main driver in their efforts to meet the commo