Alternative Algorithms For Adding And Subtracting Unlike Mixed Numbers

Any way you slice it, fractions are foundational Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Also included are tools for analyzing student work and providing timely, specific, and meaningful interventions within an RTI framework. The targeted interventions for each error pattern promote teaching for conceptual understanding and are supported by documented academic research. Practical materials include: Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Pages for practicing alternative algorithms and estimation Teacher resources for hands-on activities, game sheets and pieces, and more Worksheets, answer keys, and online resources Each main unit, along with the sections on academic research and "Big Ideas," concludes with a set of teacher reflection questions for use in a professional development setting. Get ready, get set, and help your students tackle fractions with confidence!

A new book that focuses on "interactive teaching", a new, more effective technique for helping elementary-school children learn mathematics. KEY TOPICS: It has an interactive teaching approach, with its focus on reasoning, problem-solving, and communicating, has been proven effective with children at all levels of mathematics competence. Coverage examines the use of models and children's intuitive understanding to help young learners develop mathematics concepts and learn problem- solving procedures. Includes a chapter devoted to using interactive teaching with children with special needs. For educators in the field of mathematics.

"Analyzing student work for error patterns (such as on a diagnostic test) and then providing timely, specific, and meaningful intervention will decrease the probability that the errors will be repeated in the future. Taking into account academic research on how students learn, Spangler provides a practical intervention model and specific hands-on materials for teachers to use when working with the many students who struggle with fractions. The step-by-step intervention strategies illustrated in this book will result in improved student performance and improved student dispositions towards mathematics. It will contain the following elements: reproducibles for fully functional diagnostic tests practice pages for exercises keyed to the diagnostic tests and error patterns, and pages to practice alternative algorithms and estimation teacher resources for hands-on activities, game sheets and pieces, and more"--Provided by publisher.

This grade level specific handbook provides classroom-tested techniques and ideas to make assessment and instruction more manageable, productive, and exciting, as well as offering a more complete picture of each student's progress and instructional needs through techniques and tools from the four assessment areas: ongoing, product, periodic and outside tests. The Assessment Handbook includes suggestions for observing students, keeping anecdotal records, following student progress, and encouraging students to reflect on and communicate both what they have learned and how they feel about mathematics.

Fourth grades need real world experience in mathematical skills to find success with the Common Core math standards. Because factions are a standard at this level, parents can help make connections through food preparation; recipe preparation involves fractions, and the stacking of measuring cups show the relationship in size. In addition, geometrical shapes and angles become tangible with visual connections. Creating yard shapes with yarn and walking the distance, establishes an image of the geometric shape in the young mind. Practical use for the skills in everyday activities gives the core relevance; thus, making the learning experience successful and enjoyable.