The 7 Mathematical Processes

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Sample Mind Map

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PME 801 Concept Map

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Reasoning & Reflecting

Assessing how you arrived at an answer and evaluating alternative methods or potential mistakes.

Being able to demonstrate and explain why solutions are correct.

Reflecting & Connecting

Recognizing similarities between current problems and previous ones - allowing for deeper understanding.

Reflecting on the process of working through mathematical concepts before / during / after an activity and making connections to prior knowledge.

Selecting Tools & Problem Solving

Determining the best approach to obtain accurate answers that best suits the needs of the problem.

Selecting appropriate assistive technologies or methods to solve the specific problem at hand.

Representing & Communicating

Using findings to draw conclusions and communicate those conclusions clearly.

Creating charts / graphs / tables to represent data or other information.

Communicating & Connecting

Connecting solutions to real-world examples and demonstrating how the math can be used in those situations

Arguing / supporting / being able to share solutions effectively by being clear and relating ideas verbally.

Connecting & Representing

Using different representations (i.e. tables / graphs / equations) to convey the same math relationships between numbers or information.

Using graphs / charts / pictures / diagrams / tables to connect how data is graphed or represented to specific math concepts.

Problem Solving & Reasoning

Justifying a chosen approach and explaining its validity.

Applying problem-solving skills to explain how an answer was determined through highlighting key information and determining appropriate steps.

The 7 Mathematical Processes

Problem Solving

The ability to find solutions to math challenges through trial and error of a variety of strategies and approaches.

Reflecting

Having the awareness to think about and consider the processes used, the strategies employed, and the solutions that were found.

Reasoning & Proving

The ability to make logical connections and provide evidence to support math statements or conclusions.

Communicating

Expressing math thinking and solutions clearly; both verbally and in writing.

Selecting Tools & Strategies

Having the ability to choose appropriate math tools and methods to solve problems efficiently.

Representing

The ability to express math ideas in a variety of ways, such as: numbers, symbols, diagrams, and models.

Connecting

Being able to recognize and make connections between different math concepts, representations, and problem-solving strategies.