PRAXIS II: Mathematics Content Knowledge (0061/5061) w/Online Practice Tests, 2nd Ed.

Overview


ARE YOU READY TO PASS THE PRAXIS II?
THEN USE THE MOST COMPREHENSIVE GUIDE ON THE MARKET TODAY.

PRAXIS II MATHEMATICS Content Knowledge (0061/5061)

THE MOST COMPLETE SUBJECT REVIEW
Everything you need to know for the PRAXIS II Mathematics Content Knowledge (0061/5061) exam, prepared by leading specialists ...

See more details below
Paperback (Second)
$23.78
BN.com price
(Save 27%)$32.95 List Price

Pick Up In Store

Reserve and pick up in 60 minutes at your local store

Other sellers (Paperback)
  • All (6) from $21.08   
  • New (3) from $21.08   
  • Used (3) from $23.77   
Sending request ...

Overview


ARE YOU READY TO PASS THE PRAXIS II?
THEN USE THE MOST COMPREHENSIVE GUIDE ON THE MARKET TODAY.

PRAXIS II MATHEMATICS Content Knowledge (0061/5061)

THE MOST COMPLETE SUBJECT REVIEW
Everything you need to know for the PRAXIS II Mathematics Content Knowledge (0061/5061) exam, prepared by leading specialists in math education. Comprehensive review chapters cover all subjects and skills tested on the exam.

THE BEST PRACTICE EXAMS AVAILABLE
At the online REA Study Center, we give you 3 full-length practice tests with powerful scoring analysis and diagnostic tools that will pinpoint your strengths and weaknesses to focus your study.

TOTAL EXPLANATIONS OF QUESTIONS & ANSWERS
Each PRAXIS II Mathematics Content Knowledge practice exam comes with detailed feedback on every question. We don’t just say which answers are right – but explain why the others are wrong, so you’ll be prepared on test day.

PROVEN TEST PREP METHODS
REA’s focused content and practical advice has helped millions succeed on their exams. With our step-by-step study plan, you can score high on the PRAXIS and get certified to teach!

FEDERAL GUIDELINES FOR NCLB COMPLIANCE
You can expect that candidates with NCLB-compliant credentials will enjoy preferential status in hiring. This means you need to pass the PRAXIS Assessments. Maximize your exam performance and master the PRAXIS Assessments with the unrivaled certification expertise that only REA can offer.

Read More Show Less

Product Details

  • ISBN-13: 9780738610528
  • Publisher: Research & Education Association
  • Publication date: 11/19/2012
  • Series: PRAXIS Teacher Certification Test Prep
  • Edition description: Second
  • Edition number: 2
  • Pages: 464
  • Sales rank: 175,648
  • Product dimensions: 8.40 (w) x 10.80 (h) x 1.20 (d)

Meet the Author

Mel H. Friedman, M.S., has a diversified background in mathematics and has developed test items for Educational Testing Service. His teaching experience is at both the high school and college levels.

Sandra Rush has a B.A. in mathematics from Temple University and an M.A. in ionospheric physics from UCLA. Her career has been focused on education, serving as a mathematics and physics instructor at the secondary school and college levels in Massachusetts and Colorado. Her interest in education has extended beyond the classroom to the publishing field, including writing and editing preparation manuals for standardized tests for all ages as well as one-on-one tutoring and coaching.

Read More Show Less

Read an Excerpt


Congratulations! By taking the PRAXIS II Mathematics Content Knowledge 0061/5061 test, you’re on your way to a rewarding career as a mathematics teacher. Our book and the online tools that come with it, give you everything you need to succeed on this important exam, bringing you one step closer to being certified to teach. Our PRAXIS test prep package includes:

• A complete overview of the PRAXIS II Mathematics Content Knowledge test

• A comprehensive review of every content category tested

• Three full-length practice tests with online diagnostic tools to help you personalize your prep

There are many different ways to prepare for the PRAXIS II Mathematics Content Knowledge 0061/5061 test. What’s best for you depends on how much time you have to study and how comfortable you are with the subject matter. To score your highest, you need a study system that can be customized to fit you: your schedule, your learning style, and your current level of knowledge.

Let our experts help put you on the path to success and get you ready for the PRAXIS exam.

How to Use This Book

About the Review
The review chapters in this book are designed to help you sharpen the basic skills you need to approach the PRAXIS II Mathematics Content Knowledge 0061/5061test. This book contains a thorough review of the material tested in each of the content categories as detailed in the Test at-a-Glance published by ETS.

Keep in mind that your schooling has taught you most of what you need to know to answer the questions on the test. The education classes you took should have provided you with the know-how to make important decisions about situations you will face as a teacher. Our review is designed to help you fit the information you have acquired into specific domain components. Studying your class notes and textbooks together with our review will give you an excellent foundation for passing the exam.

About the REA Study Center
The best way to personalize your study plan is to get feedback on what you know and what you don’t know. At the online REA Study Center, we give you three full-length practice tests with detailed score reports that pinpoint your strengths and weaknesses.

Before you review with the book, go to the REA Study Center and take Practice Test 1 as a diagnostic test. Armed with your score reports, you can personalize your study plan. Review the parts of the book where you’re weakest and focus your study on the areas where you need the most review.

After reviewing with the book, take Practice Tests 2 and 3 at the REA Study Center to ensure that you have mastered the material and are ready for test day.

If you are studying and don’t have Internet access, you can take the printed tests in the book. These are the same practice tests offered at the REA Study Center, but without the added benefits of timed testing conditions and diagnostic score reports.

An Overview of the Test

What’s on the Test?
The PRAXIS II Mathematics Content Knowledge exam is designed to assess the mathematical knowledge and competencies for a beginning secondary school teacher. The exam addresses five main content categories and five process categories.

The content categories were designed to measure the ability to integrate knowledge of mathematics and may involve more than one competency, as well as competencies from more than one content area.

In addition to content categories, the test contains process categories. Entry-level mathematics teachers must demonstrate that they have an understanding of the various ways in which math content knowledge is acquired and used. The process categories test and assess this ability, and one or more may be applied to any of the content topics in the test.

There are 50 multiple-choice questions on the PRAXIS Mathematics test, and each contains four response options, (A) through (D). You are given two hours to complete the test, so be aware of the amount of time you are spending on each question. Using the online practice tests will help you pace your time evenly, efficiently, and productively.

Format of the Test
The PRAXIS II Mathematics Content Knowledge 0061/5061 exam is offered in paper- and computer-based formats. The test is made up of multiple-choice questions which are designed to assess your knowledge of the domains and related skills mentioned previously and reviewed in this book. In general, the multiple-choice questions are intended to make you think logically. You are expected in most cases to demonstrate more than an ability to recall factual information; you may be asked to think critically about the information, analyze it, consider it carefully, compare it with knowledge you have, or make a judgment about it.

Answering the multiple-choice questions is straightforward. You must mark your choice on a separate answer sheet or, if you are taking the computer-based version of the test, directly below each test item. You should have plenty of time in which to complete the test, so speed is not important.

However, be aware of the amount of time you are spending on each question; maintaining a steady pace when answering the questions will ensure that you complete the whole test.

When Should the Test be Taken?
Traditionally, teacher preparation programs determine when their candidates take the various tests required for teacher certification. These programs will also clear you to take the examinations and make final recommendations for certification to the certifiying authority of your particular state. For those seeking certification right out of school, the test is generally taken just before graduation. If you are planning to become a teacher of secondary school mathematics you must take and pass this test.

The PRAXIS II Mathematics Content Knowledge 0061/5061 exam is administered six times a year at locations throughout the country. The usual testing day is Saturday, but the test may be taken on an alternate day if a conflict, such as a religious obligation, exists.

The PRAXIS Registration Bulletin offers detailed information about test dates and locations, as well as registration information and instructions on how to arrange testing accommodations for those with special needs. The registration bulletin is available at www.ets.org/praxis/.

Is There a Registration Fee?
Yes, you must pay a registration fee to take the PRAXIS Mathematics exam. If you are using the registration form, all fees must be paid in full by personal check, cashier’s check, or money order. All payments must be made in U.S. dollars. Cash will not be accepted. If you are registering via the Internet or phone during the emergency registration period, payment must be made by VISA or MasterCard.

A Note About Graphing Calculators
Graphing calculators are required for the PRAXIS Mathematics test, so one should be used during your practice tests in this book. On test day, bring your graphing calculator to the testing site as one will not be provided. ETS states that the calculator should be able to:

1. produce a graph of a function within an arbitrary viewing window.

2. find the zeros of a function.

3. compute the derivative of a function numerically.

4. compute definite integrals numerically.

Calculator memories need not be cleared. No calculators with typewriter-type QWERTY keyboards and electronic writing pads are allowed. Please see the ETS website for further details on the types of calculating devices that are prohibited.

Scoring the Exam
Keep in mind that examinees are not penalized for wrong answers. A question answered correctly is worth one raw point, and your total raw score is the number of questions answered correctly on the full test. Passing scores vary from state to state, and test-takers should check with their state board of education for their state’s requirements.

How many correctly answered questions equal a passing grade? According to ETS, there is no way to predict this. There are several editions of each test, and each edition contains different questions. The questions on one edition may be slightly more difficult (or easier) than those on another edition. To make all editions of a test comparable, the conversion tables adjust for difficulty among editions. There is no way to predict which edition of the test you will take.

When and Will I Receive My Score Report?
Test scores will be mailed approximately four weeks after test day to those who you designated to receive them. There is a fee for each additional score report requested.

Read More Show Less

Table of Contents


Chapter 1
Introduction
How to Use This Book
An Overview of the Test
Scoring the Exam
6-Week Study Plan
Test-Taking Tips
The Day of the Test

Chapter 2
Number Theory and Algebra
Number Theory
The Real Number System and Its Subsystems
Real Number Properties
Complex Numbers
Factors, Multiples, and Primes
Odd and Even Numbers
Ratio, Proportion, Variation, and Mean
Exponents
Radical Expressions
Mean, Median, and Mode
Algebra
Solving Linear Equations
Linear Inequalities with One Variable
Absolute Value
Linear Equations with Two Variables
Linear Inequalities with Two Variables
Systems of Linear Equations
Systems of Inequalities
Polynomials
Rational Expressions
Solving Quadratic Equations
Dimensions

Chapter 3
Measurement, Geometry, and Trigonometry
Measurement
Measurement Units
Conversion of Units
Unit Conversion
Accuracy and Percent of Error
Successive Approximation, Bounds, and Limits
Geometry
Properties of Sides and Angles of Triangles
Right Triangles
Theorems Concerning Congruent and Similar Triangles
Parallel Lines
Quadrilaterals
Polygons
Area of a Regular Polygon
Circles
Three-Dimensional Figures
Prism
Cylinder
Cone
Surface Area and Volume of Three-Dimensional Figures
Similarity for Three-Dimensional Figures
Transformations in the Coordinate Plane
Trigonometry
Right Triangle Trigonometry
Inverse Trigonometric Relations
Defining Trigonometric Functions
Graphing the Trigonometric Functions
Trigonometric Identities and Formulas
Rectangular and Polar Coordinates

Chapter 4
Functions and Calculus
Functions
Relations
Introduction to Functions
Domain and Range
Composition and Inverse
Quadratic Functions
Polynomial Functions
Asymptotes
Exponential Functions
Logarithmic Functions
Calculus
Limits of Functions
Rate of Change
Instantaneous Rate of Change
First Derivatives
Second Derivative
Applications of First and Second Derivatives to a Graph
Applications
Antiderivatives: Integrals
Fundamental Theorem of Calculus
Definite Integrals
Geometric Series

Chapter 5
Data Analysis, Statistics, and Probability
Data Analysis
Sampling and Experimentation
Overview of Methods of Data Collection
Planning and Conducting Surveys
Types of Sampling Methods
Displays to Represent Quantitative Data
Statistics
Qualitative Data Descriptors
Quantitative Data Descriptors
Normal Distributions
Using Samples to Estimate Populations
Confidence Intervals
Alpha Values
Statistical Significance
Correlation of Bivariate Data
Probability
Sample Spaces
Compound Events
Addition Rule of Probability
Expected Value
Empirical Probability

Chapter 6
Matrix Algebra and Discrete Mathematics
Matrix Algebra
Four Basic Number Properties
Vectors
Matrices
Transformations
Geometric Properties of Matrices and Vectors
Discrete Mathematics
Permutations and Combinations
Fundamental Counting Principle
Factorials
Arithmetic Sequences and Series
Geometric Sequences and Series
Binary Relations
Networks

PRACTICE TEST 1
Answer Key
Detailed Explanations of Answers

PRACTICE TEST 2
Answer Key
Detailed Explanations of Answers

PRACTICE TEST 3
Answer Key
Detailed Explanations of Answers

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)