A Focus on Ratios and Proportions

A Focus on Ratios and Proportions PDF Author: Marjorie M. Petit
Publisher: Routledge
ISBN: 100007045X
Category : Education
Languages : en
Pages : 226

Book Description
This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding. A focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

Focus on Speed, Proportion & Ratio

Focus on Speed, Proportion & Ratio PDF Author: Kumon
Publisher: Kumon Pub North America Limited
ISBN: 9784774300245
Category : Juvenile Nonfiction
Languages : en
Pages : 64

Book Description
Kumon's research has discovered that children learn more easily when they tackle one skill at a time. That's why Kumon Focus on Workbooks shine a spotlight on one challenging maths topic per book and help children improve these essential skills and gain confidence in their abilities. Each workbook utilises the Kumon Method - a step-by-step, incremental approach that helps children learn at their own pace and without anxiety. By rigorously practising each skill, the child will be proficient in the mathematics that is crucial for future learning.

Ratio and Proportion

Ratio and Proportion PDF Author: David Ben-Chaim
Publisher: Springer Science & Business Media
ISBN: 9460917844
Category : Education
Languages : en
Pages : 264

Book Description
Ratio and Proportion—Research and Teaching in Mathematics Teachers’ Education offers its readers an intellectual adventure where they can acquire invaluable tools to turn teaching ratio and proportion to professionals and school children into an enjoyable experience. Based on in-depth research, it presents a deep, comprehensive view of the topic, focusing on both the mathematical and psychological-didactical aspects of teaching it. The unique teaching model incorporates both theoretical and practical knowledge, allowing instructors to custom-design teacher courses according to their speci?c needs. The book reports on hands-on experience in the college classes plus teachers’ experience in the actual classroom setting. An important feature is the extensive variety of interesting, meaningful authentic activities. While these activities are on a level that will engage pre- and in-service mathematics teachers in training, most can also be utilized in upper elementary and middle school classes. Accompanying the majority of these activities are detailed remarks, explanations, and solutions, along with creative ideas on how to conduct and expand the learning adventure. While primarily written for educators of mathematics teachers, this book can be an invaluable source of information for mathematics teachers of elementary and middle school classes, pre-service teachers, and mathematics education researchers.

Focus on Reducing and Calculating Fractions

Focus on Reducing and Calculating Fractions PDF Author: Kumon
Publisher: Kumon Pub North America Limited
ISBN: 9784774300221
Category : Juvenile Nonfiction
Languages : en
Pages : 64

Book Description
Kumon's research has discovered that children learn more easily when they tackle one skill at a time. That's why Kumon Focus on Workbooks shine a spotlight on one challenging maths topic per book and help children improve these essential skills and gain confidence in their abilities. Each workbook utilises the Kumon Method - a step-by-step, incremental approach that helps children learn at their own pace and without anxiety. By rigorously practising each skill, the child will be proficient in the mathematics that is crucial for future learning.

Rev Up Robotics

Rev Up Robotics PDF Author: Jorge Valenzuela
Publisher: International Society for Technology in Education
ISBN: 1564848159
Category : Education
Languages : en
Pages : 185

Book Description
Author Jorge Valenzuela lays out the foundational skills of computational thinking required for programming with robotics. Unlike other robotics books and curriculum, Rev Up Robotics takes a cross-curricular approach, showing educators how to begin incorporating robotics into their content area lessons and in conjunction with other subjects. You’ll get an overview of standards-based skills that can be covered in English language arts, math, science, social studies and robotics electives. Teachers also get tips for selecting the robot that works for them and for students, and details on the functions of gears, motors and sensors. Also included is a deep dive into more advanced topics like the intersections of computer science, mechanical engineering and electrical engineering with robotics. Finally, you’ll find advice for getting students involved with competitive robotics, and case studies that offer empirical evidence for using robotics successfully in instruction. The book: • Shows how to help students recognize and apply the four elements of computational thinking to familiar situations. • Provides a pathway from working with visual blocks to programming in C++. • Discusses building and programming robots, with tips for adding your own code and troubleshooting. • Demonstrates how to manipulate basic movement to better understand the functions of gears, motors and sensors. With activities and examples for grade levels K-8, teachers come away with easy-to-implement cross-curricular ideas to engage students in computer science and engineering activities.

Ratios and Proportions Workbook

Ratios and Proportions Workbook PDF Author: Maria Miller
Publisher:
ISBN: 9781533160799
Category :
Languages : en
Pages : 90

Book Description
Ratios and Proportions Workbook covers the concept of the ratio of two quantities. From this concept, we develop the related concepts of a rate (so much of one thing per so much of another thing) and a proportion (an equation of ratios). We also study how tables of equivalent ratios can help to solve problems with rates, and how cross-multiplying can help to solve problems with proportions. The lesson Unit Rates defines the concept of the unit rate, shows how to calculate one, and gives practice at doing so, including practice with complex fractions. We also consider rates as two quantities that vary, graph the corresponding equation in the coordinate grid, and tie in the concept of unit rate with the concept of slope. The concept of direct variation is introduced in the lesson Proportional Relationships. Writing and graphing equations gives a visual understanding of proportionality. In two following lessons on proportions, students also practice solving rate problems in different ways, using the various methods they have learned throughout the workbook. The lessons Scaling Figures, Floor Plans, and Maps give useful applications and more practice to master the concepts of proportions. Before the Review there is also an optional lesson, Significant Digits, that deals with the concept of the accuracy of a measurement and how it limits the accuracy of the solution. It is optional because significant digits is not a standard topic for seventh grade, yet the concept in it is quite important, especially in science.
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