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The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
Instead of showing the math behind the answer, the student took "showing your thinking" very literally and drew his sad face on a stickman who raises a hand to its forehead and pops out a ...
Investigations was developed between 1990 and 1998. It was just one of a number of reform mathematics curricula initially funded by a National Science Foundation grant. The goals of the project raised opposition to the curriculum from critics (both parents and mathematics teachers) who objected to the emphasis on conceptual learning instead of instruction in more recognized specific methods ...
It is critical that students learn math concepts using a variety of tools. For example, as students learn to make patterns, they should be able to create patterns using all three of these tools. Seeing the same concept represented in multiple ways as well as using a variety of concrete models will expand students’ understandings.
A graphic organizer, also known as a knowledge map, concept map, story map, cognitive organizer, advance organizer, or concept diagram, is a pedagogical tool that uses visual symbols to express knowledge and concepts through relationships between them. [1]
A map : is called an open map or a strongly open map if it satisfies any of the following equivalent conditions: Definition: f : X → Y {\displaystyle f:X\to Y} maps open subsets of its domain to open subsets of its codomain; that is, for any open subset U {\displaystyle U} of X {\displaystyle X} , f ( U ) {\displaystyle f(U)} is an open ...
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