ENGLISH

Nix the Tricks: A guide to avoiding shortcuts that cut out math concept development

By Tina Cardone

Book information

Publisher
CreateSpace Independent Publishing Platform
Year
2015
ISBN
1507504373, 978-1507504376
Language
english
Format
PDF
Filesize
3 MB (3453914 bytes)
Edition
2.1
Pages
0\82
Time added
2018-07-08 08:18:19

Description

Do you cringe when a student declares "cross multiply!" as soon as they see a problem involving fractions? It doesn't matter whether you teach elementary or high school, whether you're a parent or a tutor, having a student yell out a trick without stopping to think is painful. This book is filled with alternatives to the shortcuts so prevalent in mathematics education and explains exactly why the tricks are so bad for understanding math. Preface 1 Introduction 2 Operations 2.1 Nix: Total Means Add 2.2 Nix: Bigger Bottom, Better Borrow 2.3 Nix: Add a Zero (Multiplying by 10) 2.4 Nix: Five or More Go up a Floor, aka 0-4 Hit the Floor, 5-9 Make the Climb 2.5 Nix: Turtle Multiplication 2.6 Nix: Does McDonald's Sell Cheeseburgers, aka Dad, Mom, Sister, Brother 2.7 Nix: Ball to the Wall 2.8 Nix: PEMDAS, BIDMAS 3 Proportional Reasoning 3.1 Nix: Butterfly Method, Jesus Fish 3.2 Nix: The Man on the Horse 3.3 Nix: Make Mixed Numbers MAD 3.4 Nix: Backflip and Cartwheel 3.5 Nix: Cross Multiply (Fraction Division) 3.6 Nix: Flip and Multiply, Same-Change-Flip 3.7 Nix: Cross Multiply (Solving Proportions) 3.8 Nix: Dr. Pepper 3.9 Nix: New Formulas for Each Conversion 3.10 Nix: Formula Triangle 3.11 Nix: Outers over Inners 4 Geometry and Measurement 4.1 Nix: Perimeter is the Outside 4.2 Nix: Rectangles Have Two Long Sides and Two Short Sides 4.3 Nix: Squares Have Four Equal Sides 4.4 Nix: Obtuse Angles are Big 4.5 Nix: a2 + b2= c2 4.6 Nix: The Angle of Inclination Is the Same as the Angle of Depression 4.7 Formula: Areas of Quadrilaterals, Triangles 4.8 Formula: Surface Area 4.9 Formula: Volume 4.10 Formula: Distance Formula 5 Number Systems 5.1 Nix: Absolute Value Makes a Number Positive 5.2 Nix: Same-Change-Change, Keep-Change-Change (Integer Addition) 5.3 Nix: Two Negatives Make a Positive (Integer Subtraction) 5.4 Nix: Two Negatives Make a Positive (Integer Multiplication) 5.5 Nix: Move the Decimal (Scientific Notation) 5.6 Nix: Jailbreak Radicals, aka You Need a Partner to Go to the Party 5.7 Nix: Exponent Over Radical 6 Equations and Inequalities 6.1 Nix: 'Hungry' Inequality Symbols 6.2 Nix: Take or Move to the Other Side 6.3 Nix: Switch the Side and Switch the Sign 6.4 Nix: Cancel 6.5 Nix: Follow the Arrow (Graphing Inequalities) 6.6 Nix: The Square Root and the Square Cancel 6.7 Nix: Land of Gor 6.8 Nix: Log Circle 6.9 Nix: The Log and the Exponent Cancel 7 Functions 7.1 Nix: Rise over Run as the Definition of Slope 7.2 Nix: OK vs. NO Slope 7.3 Nix: What is b? 7.4 Nix: The Inside Does the Opposite 7.5 Nix: All Students Take Calculus a.k.a. CAST 7.6 Nix: FOIL 7.7 Nix: Slide and Divide, a.k.a. Throw the Football 7.8 Nix: Synthetic Division 8 Conclusion A Index of Tricks by Standards B Types of Tricks B.1 Imprecise Language B.2 Methods Eliminating Options B.3 Tricks Students Misinterpret B.4 Math as Magic, Not Logic

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