This math lesson uses the Cognitive Process of Instruction to teach how to read and write a whole number using a place value chart. It teaches how to represent a number using tiles. It teaches how to write a number in expanded form, compare whole numbers, round whole numbers using the same place value chart. The visual frameworks are designed by the author who has studied cognitive science for over 35 years. These math lessons develop math skills through the use of the construction of the visual frameworks and skill task strategies. The conceptual knowledge is built as the students construct the visual framework for the concept/sub-concept and the procedural knowledge is built as they construct the skill task strategy.
Math skills are performed as strategies with two thinking processes: analysis and syntheses. Analysis is the process of identifying the parts and their relationships. Synthesis is the process of combining information on the parts.