Learning Center Basics
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What are the three components of the Mathnasium Method?
- 10 Rules of Engagement
- Curriculum Icons
- Mathnasium Vocabulary
What are the 10 Mathnasium Rules of Engagement?
1) Use the Mathnasium Teaching Constructs. Use the Teaching Icons as guides
2) Do not repeat inefficient explanations
3) Reteach concepts if a student is struggling. Extend knowledge back to the point at which they were
4) Praise, encourage, and criticize
5) Use Socratic Questioning when it's appropriate. Use Direct Teaching when it's appropriate
6) Use Mathnasium vocabulary because it makes sense. Avoid confusing nomenclature
7) Use manipulatives and Desk Tools when appropriate to clarify and reinforce concepts visually.
8) Enable students to achieve metacognition, an awareness of one's own thinking process.
9) Require students to use mental math to enhance numerical fluency and limit reliance on pencil and paper
10) Master Team Teaching.
List and quickly summarize all key icons:
Quantity, Denomination, and the Law of SAMEness: Tells instructor to teach what is in the name
Manipulatives: Instructor should use manipulatives to help student
Bypass Page:
Proof Bypass Page:
Thinking in 10s: Instructor should use thinking in 10s strategy
Draw a picture
Wholes and Parts: When ascepts of wholes and parts need to be emphasized
Complements: Whole minus part should be used to solve the problem
Proportional thinking: This should be used while doing the work
Direct Teaching
Point out a Pattern: Student/Instructor should point out what being repeated in a set of problems
Extending Knowledge: Instructor has opportunity to extend knowledge
Place Value: Instructor should think of place value when teaching student
Doubling: Should be used to solve the problem
Mental Math
Desk tools
Counting
Grouping: Grouping strategy can be used for work
Use a calculator
Socratic Questioning
What does team teaching consist of?
1) Engage students at strategic moments
2) Interact based on student's needs
3) Disengages, leaving student with appropriate task
4) Walks around observing when not instructing
Name and describe the steps of team teaching
1) Rotate and read the floor:
- Watch for student indicators: Asking for help, staring off into space, distracted, talkative, not working, working on a page for a long time
- Instruct multiple students, reactive and proactive engagements, 6 interactions per student, 3:1-4:1 ratio
Team communication
- When student doesn't get explanation, partially or completely corrected work, sensitive needs, when unattended students need help
- Center Director should be told about behavioral problems, performance in school, need extra practice
2) Initial Engagement:
- Record information for workout plan
Ongoing Engagement
- Update workout plan: Instructor's initial, homework spot check, tally of pages completed,
Responsive engagement (see card below)
Proactive engagement (see card below)
3) Interact with students Effectively
Any engagement should be within the 10 rules of Engagement
Guidelines for Instruction delivery
- Sit across from student
- Use a nice voice
- Concise explanations (short, simple)
Types of student interactions (see card below)
4) Disengage and Communicate
- Before leaving student, leave them with a task (5 - 10 problems)
- For students who don't want to continue work w/o instructor, tell them you'll be near to help if they need it, compliment their efforts thus far, offer extra punches, offer to play a game afterwards
Document session progress on workout plan
Communicate and Re-enter Rotation
- Immediate concerns should be told to center director immediately
Notes to Center Director
- Summarize student progress
- Actions needed for a student's learning plan
Final Engagement
- Have at leas a page w/ Mastery check
- Write down any concepts or misconceptions for review in the future ("Things to work on next session" section)
What is the difference between proactive and responsive engagement?
Responsive engagement: Response to students in time, be genuine in helping the student
Proactive engagement:
- Seek opportunities
- Monitor students
- Follow-up on previously assigned tasks
- Correct errors before they become habits
- Intervene to correct behavior
What are the types of student interactions?
Normal instruction
- Responsive or proactive
- Determine teaching methods (socratic, direct, or both) use icons for visual cues as to how to teach
- General approach to instruction
1) Show the student how to do it on one problem
2) Watch the student work on another exercise, correcting, commenting, or asking them questions when necessary
3) Disengage and give them some problems to work on
Correcting student work
- Pages should be corrected as soon as possible
- Ask students to explain answers, even if it's correct
- Spot-check written work while rotating around the floor; intervene if you see an error being made
Mastery Checks
Transitioning between activities
Re-engaging a student
What does the Number Sense Triangle consist of? Summarize each part.
- Counting
- Wholes and parts: whole = part + part...; part = whole - part + part...
- Proportional thinking
- Quantity and Denomination: How much of what (denomination = name)
- The Law of SAMEness (can only combine things with the same denomination
How can you help students achieve metacognition?
How do you teach the Mathnasium way?
- Help student at the right time
- Assist/Teach student based on what they need
- Leave student with a goal/task
- Read the room; look to see if any students need help
What are the five modes used to deliver the Mathnasium program?
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
Awareness, competency, mastery
How is Socratic Questioning different from Direct Teaching?
Asks questions to guide student v
concepts of ideas to students
What is "scaffolding"
Progressively moving student away from being dependent on a teacher
Name the three types of students. How would you encourage them to continue working?
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?
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?
- Whole = sum of parts
- Part = whole minus so
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Learning Center Basics - answer ...
What are the three components of the Mathnasium
Method? - answer - 10 Rules of Engagement
- Curriculum Icons
- Mathnasium Vocabulary
What are the 10 Mathnasium Rules of
Engagement? - answer 1) Use the Mathnasium
Teaching Constructs. Use the Teaching Icons as
guides
2) Do not repeat inefficient explanations
,3) Reteach concepts if a student is struggling.
Extend knowledge back to the point at which they
were
4) Praise, encourage, and criticize
5) Use Socratic Questioning when it's appropriate.
Use Direct Teaching when it's appropriate
6) Use Mathnasium vocabulary because it makes
sense. Avoid confusing nomenclature
7) Use manipulatives and Desk Tools when
appropriate to clarify and reinforce concepts
visually.
8) Enable students to achieve metacognition, an
awareness of one's own thinking process.
9) Require students to use mental math to enhance
numerical fluency and limit reliance on pencil and
paper
10) Master Team Teaching.
List and quickly summarize all key icons: - answer
Quantity, Denomination, and the Law of SAMEness:
Tells instructor to teach what is in the name
Manipulatives: Instructor should use manipulatives
to help student
, Bypass Page:
Proof Bypass Page:
Thinking in 10s: Instructor should use thinking in
10s strategy
Draw a picture
Wholes and Parts: When ascepts of wholes and
parts need to be emphasized
Complements: Whole minus part should be used to
solve the problem
Proportional thinking: This should be used while
doing the work
Direct Teaching