Tough Topics In Fractions

Rescue your child from math phobia — by playing games! You’ll love these math games because they give your child a sturdy foundation for understanding multiplication and fractions. Help your child master the times tables and build mental math skills. Play with advanced concepts such as division, fractions, decimals, and multi-step calculations. Multiplication & Fractions features 25 kid-tested games, offering a variety of challenges for upper-elementary and middle school students. Chapters include: • Mathematical Models: Learn to picture multiplication and fractions in a way that supports your child’s comprehension. • Conquer the Times Tables: Enjoy practicing the math facts until correct answers become automatic. • Mixed Operations: Give mental muscles a workout with games that require number skills and logical thinking. • Fractions and Decimals: Master equivalent fractions, work with decimal place value, and multiply fractions and decimal numbers. Math games prevent math anxiety. Games pump up your child’s mental muscle, reduce the fear of failure, and generate a positive attitude toward mathematics. Parents can use these games to enjoy quality time with your children. Classroom teachers like them as warm-ups and learning center activities or for a relaxing review day at the end of a term. If you are a tutor or homeschooler, make games a regular feature in your lesson plans to build your students’ math skills. So what are you waiting for? Clear off a table, grab a deck of cards, and let's play some math!

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 years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it's imperative for us to take a closer look at how we teach fractions: Fractions play a key role in students' feelings about mathematics. Fractions are fundamental to school math and daily life. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of "algebra for all" will not be possible until "fractions for all" is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

This is the new Fractions 2nd Edition, a completely edited version including a handy glossary and resource center. FRACTIONS is the most difficult math topic for many students. This book makes it possible to master ALL fraction operations the fun and easy way! Many students were never taught fractions in a manner that is easy to understand. This book will have you loving to work with fractions. Perfect for students who have struggled in the past and have found math to be hard. Lessons are presented in language that everyone can understand. Each lesson flows smoothly and logically to the next. Lessons are short, concise, and to the point. Lots of examples with step-by-step solutions. Valuable Helpful Hints are included in each lesson. Review is built into each lesson. Students will retain what they have learned. Each lesson includes Problem Solving. This will ensure that students can apply their math knowledge to real-life situations. Includes free access to video tutorials. Just go to www.mathessentials.net and click on the Videos button. Includes a solutions section for all problems.

This book is a teacher development tool presenting information to help facilitate discussions of the cases found in a companion book. The introduction discusses the values of case-based instruction, organizing a case discussion group, introducing participants to case discussions, preparing for a case discussion, discussing a case, anticipating and addressing pitfalls, and closing and assessing the discussion. Following the introduction is the main section of the book, which contains facilitator information, including questions and issues, for each of the cases contained in the case book. Appendices include a Case Discussion Process Assessment survey, and methods of obtaining facilitator feedback. Contains 40 references. (MKR)