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Teaching Math Before Technology Presented by: Niobrara High School Math Teacher -- Robert S. Rail
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THE AGENDA 1. Tools vs Crutches 2. 3 Rules of Math 3. When a Tool Becomes a Crutch 4. Tools for Math Students 5. Where From Here?
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Tools Versus Crutches
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Technology: A Tool or a Crutch? Tools – –Make A Task Easier –Increase Productivity –Add Efficiency to a Task Crutches – –Compensate for an Impairment –Awkward to Use, Even with Practice –Decrease Productivity and Efficiency
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When We Hand a Student a Calculator Before He / She Knows How to Calculate, Did We Give Them a Tool or a Crutch?????
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FIRST 3 RULES OF MATHEMATICS 1. Simplify … …the Problem 2. Simplify … …the Process 3. Simplify … …the Answer
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Simplify the Problem Determine Which Answer Is Wanted Determine Which Information is Relevant Discard the Rest Kansas City, MO is 187 miles south of Omaha, NE. If I leave at 10:00 AM and travel 60 MPH, will I be in time to see a 3:00 PM show at the Crown Center?
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Simplify the Process 1. Grouping Symbols 2. Exponents and radicals 3. Multiplication 4. Division 5. Addition 6. Subtraction As it occurs from left to right
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Simplify the Process Great Explanations Make Doing Algebra Simple 60 * [15:00 (3:00 PM) – 10:00 ] > 187 (Y or N)
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Simplify the Answer Combine Like Terms Reduce Fractions Put Radicals in the Numerator Convert: –Negative Exponents in Numerator to Positive Exponents in the Denominator –Negative Exponents in Denominator to Positive Exponents in the Numerator And the Answer is:
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Simplify the Answer Barring a Traffic Jam YES!
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When A Tool Becomes A Crutch Mental Math Versus the Calculator Why Do We Defend Students Who: –Can’t / Won’t Do Basic Table Math? –Insist on a Tool When Their Brain is Better? Why Are There Pictures on Cash Registers? (Okay, Not a Math Teaching Issue, but I Still Wonder)
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Tools for Math Students Brain Fingers & Toes Arithmetic Tables Pencil, Paper, Compass, Protractor Books (Reading is a BIG Plus in Math) Practice Slide Rule Calculators, Cell Phones, iPads, PCs
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Where from Here? Teach and Apply the Basics Assess Them to Until They Drop No Calculators Before Irrational Numbers
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I Cannot Say in my Heart That Technology Does Not Belong in any Classroom; I Can Safely Ascertain That Students Who Can’t (or Won’t) do Simple Math Without a Computational Device Are Hurting Their Chances to Competently Apply the Math in the World Around Them. Pick Any Discipline – Math is Required Even When Technology is Not.
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Questions? Queries? Posers?
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