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The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this comprehensive workbook to share his strategies for mastering fractions. With 20 chapters and 250 pages, this workbook covers a variety of essential fractions skills, including:* fractions, decimals, and percentages* how to find a common denominator* repeating decimals* adding, subtracting, multiplying, and dividing fractions* converting between mixed numbers and improper fractions* solving problems with ratios or proportions* word problems* long division with remainders* reducing fractions* finding reciprocals* what a fraction means visually.This workbook includes a pretest and a posttest to help assess student learning. Comparing pretest and posttest scores helps to measure how much students have learned by using this workbook. Teachers, parents, and even students may find this helpful.
"This resource combines current research and practical strategies to support teachers in understanding and addressing the most common misconceptions that students have about fractions and presents opportunities to help students investigate, discuss, revise, expand, and refine their understanding of fractions. Includes reproducibles, bibliography, and index"--
Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking? This book focuses on the specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.
This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.
For 20 years, School Zone I Know It! books have set the standard for home learning materials. Each book is developed by professional educators to complement the curriculum at each grade. Each I Know It! book has clear instructions and fun-to-do exercises.
This math workbook from the Dr. Pi Squared Math Workbooks focuses on basic fraction skills. The first two chapters introduce the concept of representing a fraction with pie slices. The remaining ten chapters offer practice converting between mixed numbers and improper fractions, reducing fractions and mixed numbers, finding the lowest common denominator, comparing fractions and mixed numbers, finding reciprocals of fractions and mixed numbers, and adding, subtracting, multiplying, and dividing fractions and mixed numbers. Each section begins with a description of how to perform the mathematical procedure, including fully-solved examples to illustrate the technique and to serve as a useful guide. Answers are nicely organized by page number in the back of the book to allow students, parents, or teachers to quickly check the answers. There is ample workspace for students to write large answers and still fit their solutions comfortably into the space provided. High-quality, durable, bright paper is used (instead of standard workbook paper, which often tears easily and appears dull in color). CONTENTS: (1) Determining Fractions Visually, (2) Representing Fractions Visually (students color the pie slices), (3) Converting Mixed Numbers into Improper Fractions, (4) Converting Improper Fractions into Mixed Numbers, (5) Reducing Fractions and Mixed Numbers, (6) Finding Lowest Common Denominators, (7) Comparing Fractions (includes fractions vs. fractions, integers vs. fractions, and mixed numbers vs. fractions), (8) Adding Fractions (includes fractions plus fractions, fractions plus integers, and mixed numbers plus mixed numbers), (9) Subtracting Fractions (includes fractions minus fractions, subtracting fractions with integers, and mixed number minus mixed numbers), (10) Multiplying Fractions (includes fractions times fractions, fractions times integers, and mixed numbers times mixed numbers), (11) Reciprocating Fractions, Integers, and Mixed Numbers, (12) Dividing Fractions, Answers (includes fractions divided by fractions, dividing fractions with integers, and mixed numbers divided by mixed numbers).
Fractions are fun, fractions are easy; and this workbook is our proof to that! Like other math concepts, fractions need to be mastered in order to excel in them. Unlike science, fraction facts are always the same. Therefore, frequent practice is all it takes to make fractions an integral part of your child's educational journey through math. Let this workbook help your child with that!
At fifth grade, math is becoming quite a challenge. It's almost normal to see students giving up on fractions so encouragement is a must. The nice thing about keeping this workbook is that it complement school lessons. It allows a child to learn on his/her own; thereby effectively eliminating pressure to pass or fail. After all, math is all about mastery through repetition. Secure a copy now!
Sometimes, all a child needs is complementary education. This means learning even outside the classroom using resources that encourage education of the same level as the academe. For example, this workbook on fractions is designed to make the topic easier to understand. It has been made to allow a child to study even though he/she is just at home. Expect better grades in fractions. Grab a copy now!