Proportional Reasoning
Author | : Sheldon Erickson |
Publisher | : Aims Educational Foundation |
Total Pages | : 212 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9781881431787 |
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Author | : Sheldon Erickson |
Publisher | : Aims Educational Foundation |
Total Pages | : 212 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9781881431787 |
Author | : Joanne Elizabeth Lobato |
Publisher | : National Council of Teachers of English |
Total Pages | : 0 |
Release | : 2010 |
Genre | : Curriculum planning |
ISBN | : 9780873536226 |
"A series for teaching mathematics."--P. [1] of cover.
Author | : Marian Small |
Publisher | : Teachers College Press |
Total Pages | : 129 |
Release | : 2015-04-10 |
Genre | : Education |
ISBN | : 0807756601 |
Although proportional reasoning is not formally introduced as a topic in the Common Core and other mathematics curricula until 6th grade, introducing its fundamental ideas in the early grades helps students develop essential skills in ratios, percentages, and other proportional representations when they reach the upper grades. The author takes this complex subject and crafts examples and questions that help teachers see the larger purpose in teaching concepts, such as unitizing, and how that understanding is essential for more complex ideas, such as ratios. Teachers and vertical teams can see how the concepts can build year after year. This new resource by well-known professional developer Marian Small suggests questions that are both interesting for students and useful for providing diagnostic information to teachers. Chapters are organized by grade level (K-8) around the Common Core State Standards for Mathematics to help teachers use the resource more easily.
Author | : Carmen Whitman |
Publisher | : Math Solutions |
Total Pages | : 271 |
Release | : 2010-09-01 |
Genre | : Education |
ISBN | : 9781935099246 |
"Presents 18 proportional reasoning lessons for middle-school students; each lesson contains standards correlations, vocabulary, teacher notes, student connections, and reproducible pages, with the goal of seeing inclusive proportionality as the big idea that helps educators to make a unifying connection across all mathematics strands"--Provided by publisher.
Author | : Marian Small |
Publisher | : Teachers College Press |
Total Pages | : 128 |
Release | : 2014-04-15 |
Genre | : Education |
ISBN | : 0807773824 |
Although proportional reasoning is not formally introduced as a topic in the Common Core and other mathematics curricula until 6th grade, introducing its fundamental ideas in the early grades helps students develop essential skills in ratios, percentages, and other proportional representations when they reach the upper grades. The author takes this complex subject and crafts examples and questions that help teachers see the larger purpose in teaching concepts, such as unitizing, and how that understanding is essential for more complex ideas, such as ratios. Teachers and vertical teams can see how the concepts can build year after year. This new resource by well-known professional developer Marian Small suggests questions that are both interesting for students and useful for providing diagnostic information to teachers. Chapters are organized by grade level (K–8) around the Common Core State Standards for Mathematics to help teachers use the resource more easily. Math teachers can use this resource to help students develop a solid foundation for more proficient and more confident work with multiplicative thinking and proportionality. It will also help math coaches as they assist teachers in their transition to teaching mathematics within the more demanding framework of the CCSS. This book will also help preservice teachers and their instructors as they prepare themselves and their students to understand and teach math with a deep level of understanding. “Once again, Marian Small has created an outstanding resource for anyone working with elementary or middle grades mathematics students. With her trademark ‘good questions to ask,’ clear explanations of underlying ideas, and rich activities, Dr. Small gets at the heart of ways to correct often misunderstood and poorly taught concepts of proportional reasoning, starting with the rarely mentioned primary level.” —Linda Sheffield, Regents Professor Emerita, Northern Kentucky University
Author | : Andrew Ravenscroft |
Publisher | : Springer |
Total Pages | : 553 |
Release | : 2012-08-14 |
Genre | : Computers |
ISBN | : 9783642332623 |
This book constitutes the refereed proceedings of the 7th European Conference on Technology Enhanced Learning, EC-TEL 2012, held in Saarbrücken, Germany, in September 2012. The 26 revised full papers presented were carefully reviewed and selected from 130 submissions. The book also includes 12 short papers, 16 demonstration papers, 11 poster papers, and 1 invited paper. Specifically, the programme and organizing structure was formed through the themes: mobile learning and context; serious and educational games; collaborative learning; organisational and workplace learning; learning analytics and retrieval; personalised and adaptive learning; learning environments; academic learning and context; and, learning facilitation by semantic means.
Author | : Contemporary |
Publisher | : McGraw-Hill Education |
Total Pages | : 152 |
Release | : 2011-06-06 |
Genre | : Mathematics |
ISBN | : 9780076620937 |
Students use various tools—objects, diagrams, tables, graphs, and equations—to understand proportional and non-proportional relationships.
Author | : Susan J. Lamon |
Publisher | : Routledge |
Total Pages | : 254 |
Release | : 2006-08-15 |
Genre | : Education |
ISBN | : 1135606781 |
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.
Author | : Marcy H. Towns |
Publisher | : American Chemical Society |
Total Pages | : 288 |
Release | : 2020-06 |
Genre | : Chemistry |
ISBN | : 9780841234352 |
At the interface between chemistry and mathematics, this book brings together research on the use mathematics in the context of undergraduate chemistry courses. These university-level studies also support national efforts expressed in the Next Generation Science Standards regarding the importance of skills, such as quantitative reasoning and interpreting data. Curated by award-winning leaders in the field, this book is useful for instructors in chemistry, mathematics, and physics at the secondary and university levels.
Author | : Judith Flowers |
Publisher | : |
Total Pages | : 338 |
Release | : 1998 |
Genre | : |
ISBN | : |