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"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"--
A Focus on Fractions is a groundbreaking effort to make the mathematics education research on how students develop their understanding of fraction concepts readily accessible and understandable to pre- and in-service K– 8 mathematics educators. Using extensive annotated samples of student work, as well as vignettes characteristic of classroom teachers’ experiences, this book equips educators with the knowledge and tools to reveal students’ thinking so that they can modify their teaching and improve student learning of fraction concepts. A Focus on Fractions 2nd edition includes sections on the Common Core State Standards for Mathematics and the Ongoing Assessment Project (OGAP) Fraction Framework integrated into each chapter as well as a new chapter on the OGAP Fraction Progression and how it can be used for formative assessment purposes. This updated edition assists teachers in translating research findings into their classroom practice by conveying detailed information about how students develop fraction understandings. Additional images and examples serve to flesh out and supplement the newly-introduced concepts in this updated and expanded edition. Special Features: Looking Back Questions at the end of each chapter provide teachers the opportunity to analyze student thinking and consider instructional strategies for their own students. Instructional Links help teachers relate concepts from the chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of fractions. Answer Key posted online offers extensive explanations of in-chapter questions. New sections devoted to the CCSSM and OGAP Fraction Progression are woven throughout the book as well as a new stand alone chapter on the OGAP Fraction Progression. The OGAP Fraction Framework is an all-new eResource, now available as a free download from the book’s website: www.routledge.com/9781138816442.
This math workbook from the Dr. Pi Squared Math Workbooks series aims to teach what a fraction is and help kids visualize fractions. It is designed for kids who are just learning about fractions. The problems consist of colorful pictures from which kids are to determine fractions. The book begins with circles cut into pie slices, from halves to twelfths. The students need to determine what fraction of each pie is blue, yellow, and red. For example, if a pie is divided into fourths, two of which are blue, one yellow, and the other red, the student would answer one-half, one-fourth, and one-fourth. After ample practice with pie slices, the workbook moves onto triangles, squares, and hexagons. A couple of pages include groups of circles where kids need to determine fractions greater than one - for example, two and a half circles might be colored green. Other visual fraction problems include rectangles, smiley faces, arrows, letters, and numbers. Toward the end of the workbook, some questions ask about more than just colors - like what fraction of the arrows point up, or what fraction of the letters are vowels. 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. The problems appear in a large font size, since students usually write larger than standard textbook fonts. High-quality, durable, bright paper is used (instead of standard workbook paper, which often tears easily and appears dull in color).
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.
For use in schools and libraries only. Describes a variety of apples and uses them to introduce fractions.
Miss Prime and her animal students explore fractions by finding many examples in the world around them.
Focus on the essentials with Multiplying and Dividing Fractions! Aligned to Common Core State Standards, this systematic workbook focuses specifically on one skill at a time, gradually building towards math mastery. It includes student practice pages; teacher pages with standards, vocabulary, examples, and enrichment activities; learning stations; a glossary; and more! 64 pages
"First published by Franklin Watts 2016."
Focus on the essentials with Adding and Subtracting Fractions! Aligned to Common Core State Standards, this systematic workbook focuses specifically on one skill at a time, gradually building towards math mastery. It includes student practice pages; teacher pages with standards, vocabulary, examples, and enrichment activities; learning stations; a glossary; and more! 64 pages
A collection of children's books on the subject of numbers and counting.