math - rainbow resource
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MATH
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Learning Tools for Homes & Schools
Math Approaches:Math Approaches:
Math History: New Math Progressive Open Education
Instruction Types: Conceptual Procedural
Concept Presentation: Spiral • Definition • Advantages • Disadvantages Sequential • Definition • Advantages • Disadvantages
Typical Math Path*: Early Years • Understanding and performing operations. • Foundations: +, -, x, ÷, basic geometry, number relations, word problems. Middle Years • Understanding relationships of numbers, quantities and shapes in world context. • Move from literal to symbolic. • Solidify understanding of operations. • Negative numbers, percentages, decimals, probability. • More emphasis on logic and the abstract. High School • Higher-order thinking. • Application of previous skills, analyzing problems, working with unknowns. • Most students, 3 years of Math: typically Algebra I, Algebra II and Geometry.
Sometimes math application course such as Consumer Math or Business Math. • STEM students typically follow this progression: Pre-Algebra, Algebra I, Geometry,
Algebra II, Pre-Calculus, Calculus, Statistics & Probability.
* Susan Wise Bauer, The Well-Trained Mind: A Guide to Classical Education at Home, 4th ed.
MATH
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• Learn through listening.
• Like to read aloud and often like to talk to themselves or create musical jingles to help them learn new materials.
• Like to talk through a problem.
• Remember by talking out loud and they like to have things explained orally rather than through written instructions.
AUDITORY LEARNERS...
• Learn through seeing.
• Like written instructions and prefer to take detailed notes as they listen to lectures.
• Learn best with visual materials such as pictures, charts, videos, illustrated textbooks, and handouts.
• Like to have a quiet place to study and use colorful highlighters to mark notes and texts.
VISUAL LEARNERS...
• Learn through moving, doing, and touching.
• Need to take frequent study breaks and like to chew gum or to snack while they study.
• Like to stand, rather than sit, when learning something new.
• Explorers at heart and like to learn through active participation in what they are learning.
KINESTHETIC LEARNERS...
Move around when talking or listening.
Like to have music on while they study.
Remember visual details with ease.
Learning Styles
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Triage:Triage:
Symptoms/Struggles:Presenting Underlying
Single Symptom Multi Symptoms
Other Considerations:
Writing amount appropriate?Speed?Learning Styles?Correct Level?• Placement Test: https://www.rainbowresource.com/hSearch.jhtm?keyword=math+placement+tests
Current Program:Advantages Disadvantages
Spiral vs. Sequential Conceptual vs. Procedural
Do Your Research:
Publisher site, Sample PDFs, Video Resources and Information
Reasons for Choosing:
Why?
MATH
MAT
H
Dr. Cal-Q-Late
vs.
Amputate
Splint
Cast
Treatment
Recommendation:
Dr. Cal Q. Late
e.g. Bored e.g. Too easy, poor reader, ...
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Notes:
Amputate... Is it time to cut off and start anew?Amputate... Is it time to cut off and start anew?
Evaluate your current program:
Amount of Teacher/Student Interaction
Conceptual vs. Procedural
Spiral vs. Sequential
Components
• Required?
• Supplements available?
Hands on Manipulatives.... Does your child need hands-on teaching?
Strengths
Shortcomings
Amount of Work
• What are your Math goals?
• Is the current level math text the right level?
• Is the amount of writing manageable?
• Is your child “bored”? What are the causes?
• Is your child painfully working through the lessons? Struggling to grasp concepts?
MATH
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Splints:Splints:
Kumon Math (1-6)
Investigating Algebra (6-AD)
Math Mosiacs (series) (1-AD)
Audio Math CDs
Math Games
Math Dice
Math War games
Dry Erase Board/Markers
Math Manipulatives
Math Gear (series): Fast Facts (PK-4)
Right-Brain Math (2-7)
Drill Tools
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Cast:
Key To (math worktexts) (5-12)
A+ Adaptive Placement Test with Lesson Plans (K-9)
Life of Fred (1-AD)
Mastering Essential Math (series)
Mastering Algebra DVDs by Art Reed
Humongous Books of Math Problems (series)
Barron’s E-Z Math (series) (8-12)
Learn Math Fast
Ultimate Math Survival Guide (4-8)
Saxon Teacher CDs
DIVE CDs
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MATH
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