Transcript
What Can Stand in the Way of a Student’s Mathematical Development?
• 1. Incomplete Mastery of Number Facts• 2. Computational Weakness• 3. Difficulty Transferring Knowledge• 4. Making Connections• 5. Incomplete Understanding of the Language
of Math• 6. Difficulty Comprehending the Visual and
Spatial Aspects and Perceptual Difficulties3
Incomplete Mastery of Number Facts
Basic computations such as 9 + 3 = 12 or 4 x 6=24Recalling these facts quickly allows student
to approach more advanced mathematical thinking…if they cannot do quickly…they are bogged down by simple calculations
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Computational WeaknessStudent may have good understanding of
math concepts, but are inconsistent with computing
They make errors by misreading signs or symbols, or may not write numerals clearly enough or in the right column
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Difficulty Transferring KnowledgeInability to connect abstract or conceptual
concepts of math with reality.Understand what symbols represent in the
physical world and how easily a child will remember a concept.
This is where hands on activities can help!
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Making ConnectionsSome students have difficulty making
meaningful connections with mathematical experiences.
For example symbols in algebra and what they really mean?
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Incomplete Understanding of the Language of Math
These students may also have difficulty with reading, writing and speaking.
They may only hear math terminology in a math class with little application.
Understanding of verbal, and written word problems may be difficult for these students.
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Difficulty Comprehending Visual and Spatial Aspects/Perceptual
Difficulties
This student has the inability to visualize math concepts.
An example could be to determine what shape will result when a 3-D figure is rotated?
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What Can I Do?Identify and discuss the child’s strengths and
interests?Demystify math?Teach basic concepts using concrete objects
such as manipulatives?Provide special paper or materials such as
graph paper?Model each problem or procedure?
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General Ideas?• Use cooperative math problem solving
activities?• Provide time for checking work and correcting
work?• Connect mathematical concepts for familiar
situations such as measuring everyone’s hand… connect to real world that they can relate to?
• Help children apply math concepts, … for example to buy something they want that may be on sale?
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MemoryProvide a strategy to a child and observe to
see if working, may have to try several?Incorporate technology, such as spreadsheet
software?Practice/teach strategies to remember basic
math facts?Use a math notebook to write down rules or
math vocabulary?...Graphic Organizer
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MemoryHave students practice subskills and record
their progress?Teach math in many modes… Gardner’s
multiple intelligences?Use games to enhance working memory?Review patterns for complex visual designs?
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LanguageFocus on information provided in word
problemsChoose strategies that suit the child’s
learning styleEncourage children to verbalize the problem
in their own wordsTeach math vocabularyIdentify key terms for them, include new
vocabulary in their math notebook, have them highlight or underline key words
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LanguageProvide a model for a problem, work through
it, ask questions and verbalize your thinkingHave children identify topics that they are
interested inBuild a foundation for multi-step problems,
one step equations first before two step equations, etc.
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LanguageHave children isolate steps for multi-step
problemsComplete each step on paperReduce data on page to reduce being
overwhelmedHave children solve problems with pictures,
tables, anything that helps them understand the problem
Provide calculators, computers, templates, manipulatives, tools for geometric figures, etc.
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