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Conceptual understanding is the background of why certain theories in math work.
Procedural Fluency is the procedure you take to understand and solve a certain problem.

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Conceptual understanding is understanding the math in theory, procedural fluency is understanding the math inpractice

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Conceptual understanding is having proficient knowledge about mathematical ideas.
Procedural fluency is the procedure you take in order to understand mathematical problems and concepts.

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Conceptual understanding is understanding the components or the information behind an problem. (Not hands on)

Procedural understanding is hands on practice of a problem.

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Conceptual understanding is building knowledge based on prior experience and knowledge of the context of problems. Procedural fluency is using is recognizing the strategy needed for a problem and and successfully applying it.

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Conceptual Understanding is an actual grasp of math ideas.
Procedural Fluency is the ability to apply math ideas to problems.

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Conceptual understanding is deep understanding of mathematical practices and their applications that goes beyond facts.
Procedural fluency is the ability to delineate between methods of problem solving and use the best one to arrive at a conclusion.

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Conceptual understanding is having the knowledge of a mathematical topic and why it is important.
Procedural fluency is knowing how to do a problem step by step, but will not understand why.

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conceptual understanding is the base for procedural fluency
Procedural fluency develops after the conceptual understanding

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Conceptual understanding is the way in which a student understands the math. This is then reinforced through practice, lessons, etc which is called procedural fluency

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Conceptual Understanding is the foundation/understanding of the concept we are learning.
Procedural Fluency is understanding a problem and using what we know to solve it.

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Conceptual understanding is the understanding of why a mathematical idea is important and the kinds of contexts in which is it useful.

Procedural fluency is the ability to apply procedures accurately, efficiently, and flexibly. Students are able to build upon previous knowledge of procedures and recognize when to apply different strategies.

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Conceptual understanding is ones comprehension of the material. The abilty to use the concept in it's prescribed environment.

Procedural fluency is ones abilty to use their understanding of many concepts to construct a method by which they can generate answers in new environments.

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Conceptual understanding is when students grasp the reasoning of why a formula or method will work, rather than just the fact that it will work.
Procedural fluency is the ability to apply the procedures correctly and when they recognize why one method could work better than another for a specific problem. This comes after conceptual understanding.

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Conceptual understanding is the understanding of the concept instead of just solving the problem. "the why"

Procedural Fluency is knowing the process and choosing the most efficient way to solve the problem.

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Conceptual understanding is a strong base knowledge of the content and its function. Procedural fluency is one step beyond conceptual understanding, when students can make complete sense of procedures and formulas used to problem solve, and what these procedures really do.

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Conceptual understanding helps one to understand the reasoning behind the procedure and therefore should precede before the procedural fluency. For example, when teaching students about the volume of a cylinder, students can be shown a concrete example of a coin or any circular object stacked on top of each other. Seeing this, they would come to a conclusion that volume is the area of the circular object times the height (the third dimension that is added by stacking the coins), since cylinder can be thought of many circles stacked on top of each other. By doing so, they develop the concept behind the formula which makes the math more meaningful to students.
Conceptual understanding is the ability to comprehend the "why" behind the process, whereas procedural fluency just
allows one to follow the steps to reach an answer.

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Conceptual Understanding is when a student is able to explain how a procedure they have learned works.

Procedural fluency is a students ability to work out a problem with precision even if they don't understand why it works.

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Procedural fluency is the process that allows someone to accomplish a goal. Specifically in mathematics, it applies to the idea that a student is able to go through a series of steps to complete whatever task they are doing.

Conceptual understanding is knowing why certain measures are being taken to complete the task at hand. Mathematically speaking, it would be a student understanding what method they are using to solve a particular problem.

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Conceptual Understanding is the foundation of fundamentals in a theme upon which we interpret a context.
Procedural Understanding is the foundation upon which we utilize patterns to manipulate within a context.

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Conceptual understanding is the foundational background needed to do math
Procedural Fluency is developed after conceptual understanding is formed

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Conceptual understanding is the way students are able to comprehend the math.

Procedural fluency is the ability of the student to work out the problems.

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Conceptual understanding is when students know more than just facts and knowledge. They understand the mathematical idea. They know the reasoning of why a formula or method works to get the answer.
Procedural fluency is being able to apply the procedures accurately and efficiently. They will also realize when one method is more appropriate than another.

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Shayanne

Conceptual fluency is understanding the concept behind the mathematics at hand.

Procedural fluency is the ability to manipulate the math from which the concept belongs.