MATHNASIUM OF TUCKER QUESTIONS
ANSWERS WITH SOLUTIONS 2024
Mental, Visual, Verbal, Tactile, Written - ANSWER The mathnasium method is delivered in 5 ways
Quantity - ANSWER Refers to how many. The amount of something or the number of things.
Denomination - ANSWER The name-amount.
Number Sense - ANSWER The result of a process of encounters and interactions with a specific set of
concepts and skills presented in a way that makes sense to the learner.
Rule of Engagement #1 - ANSWER Use the Mathnasium teaching constructs. Use the Teaching Icons as
guides.
Rule of Engagement #2 - ANSWER Don't repeat an explanation if it isn't working. Try another approach.
Don't force students to keep working on material they have already mastered.
Rule of Engagement #3 - ANSWER Fall back on prerequisite knowledge when a student is having trouble.
Extend knowledge when a student is having trouble. Extend knowledge when a student understands the
concept.
Rule of Engagement #4 - ANSWER Praise, encourage, and constructively criticize when appropriate.
Rule of Engagement #5 - ANSWER Use Socratic Questioning when it's appropriate. Use Direct Teaching
when it's appropriate.
Rule of Engagement #6 - ANSWER Use Mathnasium vocabulary and avoid confusing nomenclature.
Law of SAMEness - ANSWER It is only possible to add and subtract things of the same kind, things with
the same name.
, Whole - ANSWER Undivided. The one composed of many. That which can be broken down into parts.
Parts - ANSWER A complement of the whole.
Halves - ANSWER Two parts the same.
Subtraction - ANSWER How far apart two numbers are.
Division - ANSWER How many of these are there inside of that.
Multiplication - ANSWER Counting equal groups.
Addition - ANSWER Counting how much altogether.
Rule of Engagement #7 - ANSWER Use drawings, diagrams, manipulatives, and DeskTools when
appropriate to clarify and reinforce concepts visually.
Rule of Engagement #8 - ANSWER Enable students to achieve metacognition, an awareness of one's own
thinking process.
Rule of Engagement #9 - ANSWER Require students to use mental math to enhance Numerical Fluency
and limit reliance on pencil and paper.
Rule of Engagement #10 - ANSWER Master Team Teaching.
Mathnasium Teaching Constructs - ANSWER Counting, Doubling, Grouping, Place Value, Proportional
Thinking, Wholes and Parts
Subtraction Methods - ANSWER How far apart and How much is left.
ANSWERS WITH SOLUTIONS 2024
Mental, Visual, Verbal, Tactile, Written - ANSWER The mathnasium method is delivered in 5 ways
Quantity - ANSWER Refers to how many. The amount of something or the number of things.
Denomination - ANSWER The name-amount.
Number Sense - ANSWER The result of a process of encounters and interactions with a specific set of
concepts and skills presented in a way that makes sense to the learner.
Rule of Engagement #1 - ANSWER Use the Mathnasium teaching constructs. Use the Teaching Icons as
guides.
Rule of Engagement #2 - ANSWER Don't repeat an explanation if it isn't working. Try another approach.
Don't force students to keep working on material they have already mastered.
Rule of Engagement #3 - ANSWER Fall back on prerequisite knowledge when a student is having trouble.
Extend knowledge when a student is having trouble. Extend knowledge when a student understands the
concept.
Rule of Engagement #4 - ANSWER Praise, encourage, and constructively criticize when appropriate.
Rule of Engagement #5 - ANSWER Use Socratic Questioning when it's appropriate. Use Direct Teaching
when it's appropriate.
Rule of Engagement #6 - ANSWER Use Mathnasium vocabulary and avoid confusing nomenclature.
Law of SAMEness - ANSWER It is only possible to add and subtract things of the same kind, things with
the same name.
, Whole - ANSWER Undivided. The one composed of many. That which can be broken down into parts.
Parts - ANSWER A complement of the whole.
Halves - ANSWER Two parts the same.
Subtraction - ANSWER How far apart two numbers are.
Division - ANSWER How many of these are there inside of that.
Multiplication - ANSWER Counting equal groups.
Addition - ANSWER Counting how much altogether.
Rule of Engagement #7 - ANSWER Use drawings, diagrams, manipulatives, and DeskTools when
appropriate to clarify and reinforce concepts visually.
Rule of Engagement #8 - ANSWER Enable students to achieve metacognition, an awareness of one's own
thinking process.
Rule of Engagement #9 - ANSWER Require students to use mental math to enhance Numerical Fluency
and limit reliance on pencil and paper.
Rule of Engagement #10 - ANSWER Master Team Teaching.
Mathnasium Teaching Constructs - ANSWER Counting, Doubling, Grouping, Place Value, Proportional
Thinking, Wholes and Parts
Subtraction Methods - ANSWER How far apart and How much is left.
