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Head First Algebra de Tracey Pilone

Head First Algebra

Autor Tracey Pilone, Dan Pilone
en Limba Engleză Paperback – 3 feb 2009

Structura volumului Head First Algebra este fundamentată pe o metodologie ce prioritizează neuroștiința cognitivă în detrimentul memorării mecanice. Remarcăm o organizare a materialului care ghidează cititorul prin concepte fundamentale — de la numere naturale și exponenți, până la complexitatea sistemelor de ecuații și a graficelor polinomiale — folosind un format vizual dens și scenarii narative. Abordarea autorilor Tracey Pilone și Dan Pilone elimină repetitivitatea aridă a sutelor de probleme standard, înlocuind-o cu exerciții de logică aplicată în situații de viață, cum ar fi calcularea deprecierii valorii unui automobil sau prioritizarea cheltuielilor personale. Subliniem eficiența acestui manual în contextul curriculumului școlar, deoarece transformă abstracțiile algebrice în instrumente de luare a deciziilor. Cititorii familiarizați cu Algebra in Words de Gregory P Bullock vor aprecia modul în care acest volum de la O'Reilly merge dincolo de simpla traducere a ecuațiilor în cuvinte, oferind o experiență multi-senzorială care implică activ procesele de învățare ale creierului. În timp ce alte resurse se concentrează pe explicații textuale, Head First Algebra utilizează metafore vizuale și dialoguri pentru a fixa conceptele. Considerăm că această lucrare reprezintă o alternativă viabilă la metodele tradiționale de predare, fiind axată pe înțelegerea intuitivă a logicii matematice și pe pregătirea concretă pentru examene prin aplicabilitate imediată.

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Specificații

ISBN-13: 9780596514860
ISBN-10: 0596514867
Pagini: 559
Dimensiuni: 205 x 233 x 38 mm
Greutate: 1.02 kg
Ediția:1
Editura: O'Reilly

De ce să citești această carte

Această carte se adresează celor care găsesc algebra intimidantă sau plictisitoare. Prin aplicarea principiilor de psihologie cognitivă, Head First Algebra transformă ecuațiile în soluții pentru probleme reale. Cititorul câștigă nu doar abilitatea de a rezolva polinoame pentru examene, ci și o metodă de gândire logică utilă în gestionarea finanțelor și a deciziilor cotidiene, totul într-un format grafic captivant.

Descriere

Having trouble understanding algebra? Do algebraic concepts, equations, and logic just make your head spin? We have great news: Head First Algebra is designed for you. Full of engaging stories and practical, real-world explanations, this book will help you learn everything from natural numbers and exponents to solving systems of equations and graphing polynomials.Along the way, you'll go beyond solving hundreds of repetitive problems, and actually use what you learn to make real-life decisions. Does it make sense to buy two years of insurance on a car that depreciates as soon as you drive it off the lot? Can you really afford an XBox 360 and a new iPhone? Learn how to put algebra to work for you, and nail your class exams along the way.Your time is way too valuable to waste struggling with new concepts. Using the latest research in cognitive science and learning theory to craft a multi-sensory learning experience, Head First Algebra uses a visually rich format specifically designed to take advantage of the way your brain really works.

Cuprins

; Advance Praise for Head First Algebra; Authors of Algebra; How to use this Book: Intro; Who is this book for?; We know what you're thinking; We know what your brain is thinking; Metacognition: thinking about thinking; Here's what WE did; Read Me; The technical review team; Acknowledgments; Safari® Books Online; Chapter 1: What is Algebra?: Solving for unknowns...; 1.1 It all started with a big gaming sale; 1.2 What does a system really cost?; 1.3 Algebra is about solving for unknowns; 1.4 Jo's got more unknowns; 1.5 X marks the spot unknown; 1.6 Equations are math sentences; 1.7 Now SOLVE for the unknown; 1.8 So which operation do you use when?; 1.9 Jo is ready to accessorize!; 1.10 Equation training; 1.11 Jo has an awesome setup!; 1.12 Math Toolbox; Chapter 2: (More) Complicated Equations: Taking Algebra on the road; 2.1 Paul loves "Pajama Death"; 2.2 Always start with what you know; 2.3 There's a COST for each guy; 2.4 Replace your words with numbers; 2.5 Now solve for g... one step at a time; 2.6 ... but you have to keep the equation equal!; 2.7 If you follow the rules, you'll ALWAYS get the right answer; 2.8 Whole numbers are usually easier to work with; 2.9 A variable can appear in an equation MORE THAN ONE TIME; 2.10 Checking your work proves your answer; 2.11 What's a road trip without some girls?; 2.12 We need another variable; 2.13 A term is a chunk of an algebraic equation; 2.14 Tools for your Algebra Toolbox; Chapter 3: Rules for Numeric Operations: Follow the rules; 3.1 Math or No Math; 3.2 There's an order for working expressions; 3.3 You can re-group your equations; 3.4 It's an important round...; 3.5 Distributing a value over a grouping doesn't change a problem's value; 3.6 A constant stands in for a number; 3.7 Roll the credits...; 3.8 Tools for your Algebra Toolbox; Chapter 4: Exponent Operations: Podcasts that spread like the plague (that's a good thing...); 4.1 Addie's got a podcast; 4.2 Let's mobilize Addie's listeners; 4.3 Can Addie and Alex get enough hits?; 4.4 Alex is flaking out on his sister; 4.5 There's always a villain...; 4.6 The order of operations says exponents FIRST; 4.7 A root is the INVERSE of an exponent; 4.8 Tools for your Algebra Toolbox; Chapter 5: Graphing: A picture's worth 1,000 words; 5.1 Edward's Lawn Mowing needs help...; 5.2 Why don't you just SHOW me the money?; 5.3 Now we can LOOK at Ed's cash pattern; 5.4 Graphs show an ENTIRE relationship; 5.5 Let's graph Ed's equation on the Cartesian Plane; 5.6 Ed's figuring out the SLOPE of lawns; 5.7 Linear equations in point-slope form; 5.8 How does a point and a slope get you a line?; 5.9 Let's use the point-slope form; 5.10 Equations also have a standard form; 5.11 The slope-intercept form is EASY to graph; 5.12 Tools for your Algebra Toolbox; Chapter 6: Inequalities: Can't quite get enough?; 6.1 Kathleen really loves football; 6.2 The cost of all players can't be more than $1,000,000; 6.3 Inequalities are COMPARISONS; 6.4 Inequalities involving some negative number operations need special treatment; 6.5 Negative inequalities work BACKWARD; 6.6 FLIP the inequality sign with negative multiplication and division; 6.7 When you're working with an inequality and negative multiplication or division...; 6.8 You can visualize a solution set on a number line; 6.9 Inequalities can have TWO variables; 6.10 Use a graph to visualize the solutions to an inequality; 6.11 Answers made in the shade; 6.12 Are you ready for some football?; 6.13 Tools for your Algebra Toolbox; Chapter 7: Systems of Equations: Know what you don't know; 7.1 A line means infinite solutions; 7.2 You can't have -1 gallons of liquid!; 7.3 How does the sparkling equation work?; 7.4 The INTERSECTION of the lines solves BOTH linear equations; 7.5 Solve multiple unknowns with a SYSTEM of EQUATIONS; 7.6 Two kinds of glasses... that's TWO unknowns; 7.7 Let's solve the glasses problem; 7.8 You can substitute substitution for graphing; 7.9 f is gone with almost no work; 7.10 Manipulate your equations for elimination; 7.11 Zach's party rocks!; 7.12 Sometimes two equations aren't two lines; 7.13 Tools for your Algebra Toolbox; Chapter 8: Expanding Binomials & Factoring: Breaking up is hard to do; 8.1 Math or No Math semi-regional masters final; 8.2 Who's right?; 8.3 Binomials are groups of two algebraic terms; 8.4 The distributive property, revisited; 8.5 Simplify binomials with the distributive property; 8.6 What about when the signs are the SAME?; 8.7 Sometimes there's just not a pattern...; 8.8 FOIL ALWAYS works; 8.9 Un-distribution is called FACTORING; 8.10 Factoring is un-mulitplying; 8.11 Factor by looking for common terms; 8.12 Zero times anything is 0; 8.13 Tools for your Algebra Toolbox; Chapter 9: Quadratic Equations: Getting out of line; 9.1 Head First U is at war!; 9.2 Jon's upgrading his technology; 9.3 Where does Jon put the catapult?; 9.4 You should always factor with a PLAN; 9.5 Pi Gamma Delta built a wall!; 9.6 9 feet is not a problem; 9.7 The quadratic formula; 9.8 Frat Wars, part deux; 9.9 How can you graph x2?; 9.10 A parabola is the shape of a quadratic equation; 9.11 Graphing a parabola depends upon the vertex; 9.12 Work with the parabola, the SMART way; 9.13 The discriminant can help with our graph, too; 9.14 Tools for your Algebra Toolbox; Chapter 10: Functions: Everyone has limits; 10.1 Pajama Death TV; 10.2 Equations have limits (most of the time); 10.3 The input limits are the domain of the function; 10.4 Functions have minimum and maximum outputs; 10.5 Algebra is really about relations; 10.6 Relations, equations, and functions all go TOGETHER; 10.7 Function graphs have LIMITS; 10.8 Just before the second episode of Pajama Death TV...; 10.9 Graphing reveals the nature of a relation; 10.10 Functions pass the vertical line test; 10.11 But... what about the REST of the tickets?; 10.12 Use the function piece you NEED; 10.13 The numbers are in... and?; 10.14 Pajama Death's show was a hit!; 10.15 Tools for your Algebra Toolbox; Chapter 11: Real-World Algebra: Solve the world's problems; 11.1 Calculate interest from your interest rate and the principle amount you're borrowing; 11.2 Max doesn't own that car just yet...; 11.3 You don't need to GUESS with Algebra; 11.4 Max plans to pay you to be his financial planner; Leftovers: The Top Five Things (we didn't cover); #1 Negative Exponents; Working with negative exponents; #2 Table of values for graphing; #3 Absolute value equations; #4 Calculators; #5 More practice, especially for factoring; Pre-Algebra Review: Build on a solid foundation; Algebra starts with numbers; How do you work with negative numbers?; Addition and subtraction of integers; Multiplication and division of integers; Absolute Value; What absolute value means; Number sets - all together; The number sets; Three ways to split things up; Decimal's Anatomy; Addition and subtraction with decimals; Decimal multiplication; Decimal division; Decimal division training; Special decimals; You're 100% right!; Working with percents; Fractions; Fraction multiplication; Improper fractions; More about improper fractions; Invert a fraction to get its reciprocal; Adding and subtracting fractions; Equivalent fractions get you matching denominators; Use the lowest common denominator for addition; Fraction addition and subtraction training; Dividing by one doesn't change the value; Reduce fractions by dividing by 1; Factor trees can eliminate lots of little steps; Reduce fractions with the factor tree; Putting it all together - fractions; Converting decimals to fractions; Division by Zero doesn't work; Sometimes multiplication takes forever!; How quickly things spread...; Why does all this matter?;