Mathnasium Training
Mental - answer Used to perform long addition, percentages, and fractions. These help
maximize efficiency and boost self-confidence.
Visual - answerUsage of images to help students focus on specific key ideas of a
concept
Verbal - answerUsing Direct teaching and Socratic Questioning. Also asking students to
explain how they reached an answer!
Tactile - answerUse of manipulatives (dice, number line, etc.) to help reinforce and
guide thinking
Written - answerTeaching of standard algorithms etc. Only when preferable however.
Awareness - answerUnderstands some of the concept but unsure of application
Competency - answerAble to carry out basic calculations and applications of idea (1/2
of 6)Cou
Mastery - answerHigher level application of concept (1/2 of 49 and 3/4)
Counting - answerCounting necessary for addition and subtraction - student should be
able to start from any number (forward or back) - Mastery begins with 1s and then
moves from there
Counting by big #s - answerBreak into smaller parts (12s = 10s then 2s)
Combining Easy #s in Long Addition - answerTrying to make sums ending in 0s and 5s
- Think of numbers in pairs
Law of Whole - answerWhole = sum of its parts (W= P1 +P2...)
- # of coins
Law of Parts - answerEach part equals Whole minus the sum of all other parts (P = W-
P2 +P3...)
- # of quarters
Proportional Thinking - answer"reasoning in groups" - analysis of ratios between
physical objects and quantities. Aid learning with visuals. Avoid algorithms
Mental - answer Used to perform long addition, percentages, and fractions. These help
maximize efficiency and boost self-confidence.
Visual - answerUsage of images to help students focus on specific key ideas of a
concept
Verbal - answerUsing Direct teaching and Socratic Questioning. Also asking students to
explain how they reached an answer!
Tactile - answerUse of manipulatives (dice, number line, etc.) to help reinforce and
guide thinking
Written - answerTeaching of standard algorithms etc. Only when preferable however.
Awareness - answerUnderstands some of the concept but unsure of application
Competency - answerAble to carry out basic calculations and applications of idea (1/2
of 6)Cou
Mastery - answerHigher level application of concept (1/2 of 49 and 3/4)
Counting - answerCounting necessary for addition and subtraction - student should be
able to start from any number (forward or back) - Mastery begins with 1s and then
moves from there
Counting by big #s - answerBreak into smaller parts (12s = 10s then 2s)
Combining Easy #s in Long Addition - answerTrying to make sums ending in 0s and 5s
- Think of numbers in pairs
Law of Whole - answerWhole = sum of its parts (W= P1 +P2...)
- # of coins
Law of Parts - answerEach part equals Whole minus the sum of all other parts (P = W-
P2 +P3...)
- # of quarters
Proportional Thinking - answer"reasoning in groups" - analysis of ratios between
physical objects and quantities. Aid learning with visuals. Avoid algorithms
