2024 Exam Questions with 100%
Correct Answers
What are the five modes used to deliver the Mathnasium program? - Answer- Mental:
Doing math in your head
Visual: Pictures
Verbal: Direct teaching + Socratic questioning + asking students how they got their
answer
Tactile: Desk tools and manipulatives
Written: Solving problem on paper
What are the Three Stages of Learning - Answer- Awareness, competency, mastery
How is Socratic Questioning different from Direct Teaching? - Answer- Asks questions
to guide student v
concepts of ideas to students
What is "scaffolding" - Answer- Progressively moving student away from being
dependent on a teacher
Name the three types of students. How would you encourage them to continue
working? - Answer- Unruly, distracted, unwilling: Talk to the student and ask them to go
back to their work. Make sure they begin their work. If they are interacting with other
students, move them
Overloaded, fatigued: Take a break and play a game, or go do a topic that's more visual
or interactive
Quiet, shy: Check on them often, as they are usually too scared to ask for help
What is smart counting? - Answer- If given a row of numbers to add, see if you can
combine some of them to make multiples of tens
What are the Laws of Wholes and Parts? - Answer- - Whole = sum of parts
- Part = whole minus so
Tips on Teaching Number Facts - Answer- Addition: Break down a number to two
smaller numbers (AMOUNT SHOULD ALWAYS BE LESS THAN 10)
, - Counting by ones: "What number is [quantity] bigger/smaller than [quantity]?
- Numbers that add up to number make what?
Combinations of 10:
- What number and how much more would make 10?
- 10 and how much more would make [sum]
- Tell students that teen numbers can be broken down into 10 and a digit
Doubles:
- How much is quantity + same quantity? (all the way up to 12+12)
When does a student have Numerical Fluency? - Answer- When they can effortlessly
recall basic operation problems
What are the fact fluency problems of concern? What do you while they complete them?
- Answer- - Addition facts with sums over 10
- Subtraction facts with minuends over 10
Ask them: "Are you sure?" Or if they're right "How did you get that?"
Addition and Subtraction fact techniques are...? What prerequisite knowledge is
needed? - Answer- Up to and Over 10: 8+5 -> 8+2+3
-Know what can create 10 (complements of 10)
-How to break apart and put numbers back
- Find 10 + single digit number
Doubles +/- one (7+7 = 14, therefore, 7+8=15)
- Students need to know doubles facts (1+1, 12+12, etc.)
How far apart? - Up to and Over 10 (17-9 -> to get to 9 to 10 is one jump, the rest is 7,
1+7=8)
- Sums under 10
- Complements of 10
- 10 + single-digit number
DeskTools and Manipulatives - Answer- note:
- pt. 1 + 1/2 of pt. 2 -> example teaching of drawings
- rest of pt. 2 + pt. 3 example teachings of manipulatives
What rule do you carry out when you use desk tools? - Answer- 7th rule of engagement
What are desk tools? When do you use them? - Answer- - Desk tools are lamented
pictures, not literal desk tools
-
Are manipulatives like desk tools? - Answer- These are physical objects