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This volume presents students with problems and exercises designed to illuminate the properties of functions and graphs. The 1st part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The 2nd half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions. 1969 edition.
A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
Help your students tackle the basics of math when you use the ideas and activities in the Building Math Basics books from The Mailbox. You'll find a wide array of tips and skill builders that will help you build a solid foundation in your students as they learn basic math skills. Each book contains fun, engaging tools with step-by-step examples to teach and reinforce math concepts and tools that can help students realize success by helping them gain understanding.
Activities and research-based strategies that build math skills, concepts, and vocabulary into classroom routines, learning centers, and more.
Ace Your Competitive Exams • Uncover the “secrets” of basic math • Learn to translate words into math • Solve math problems by thinking conceptually • Understand the meaning behind basic graphs Improve Your Math Skills and Achieve Greater Academic and Professional Success Power Math is an invaluable guide for the person who wants to fine-tune his or her numerical mindset and see math in a new way. • Contains 120 all-star problems and 30 recurring math principles to help readers uncover the secrets of basic math. • Develop a feel for how numbers behave and what makes math problems tick. • Watch for pitfalls when working with percentage increase and decrease. • Use simple math to solve “business” scenarios involving price, cost, volume, profit, and break-even, and to calculate mark-up versus margin and efficiency. • Be able to glance at graphs and grasp their underlying meaning. • Understand correlation: weak or strong, positive or negative, linear or nonlinear. BRANDON ROYAL (CPA, MBA) is an award-winning author, who through his work as a teacher and educational consultant, has developed a set of key learning principles that help define the basics of reasoning, math, writing, and grammar.
Join Lucy, Benjamin, and Bear on their next math adventure. Hooray! It's Bear's birthday. But Lucy's cake falls flat and the party will be a flop unless they can bake a just-right cake in this book about everyday math and perseverance.The Little Elephants' Big Adventures series teaches early childhood math with fun adventures filled with mathematical words. This book uses the concepts of same, similar, different, and enough. Parents can expand the learning with questions to spark conversation. The books are a collaboration of the Purdue Early Achievement Research Labs.
Educators of young children who don’t yet know the work of Marian Small are in for a gift—a treasure trove to enhance their teaching and thinking about math. This book focuses on the most important concepts and skills needed to provide early learners (preK–2) with a strong foundation in mathematics, in ways that are fun for both children and educators! For each mathematical concept, professional developer Marian Small provides sample activities and lessons, as well as guidance for using children’s books, games, manipulatives, and electronic devices. This resource also demonstrates how to differentiate instruction using tasks and questions designed to include all students. Like other Marian Small bestsellers, the text features her special brand of lucid explanation of difficult concepts, fresh and engaging teaching examples, troubleshooting tips, and formative assessments. Fun and Fundamental Math for Young Children is separated into special grade level sections for pre-K, kindergarten, first grade, and second grade. It can be used with any early childhood curriculum or as a stand-alone program in preschools. Marian Small is available for in-person and online professional development. “Within the first few pages it quickly became apparent that, whether you are a new or veteran teacher, your knowledge and appreciation of and for primary mathematics will grow page by page.” —From the Foreword by Graham Fletcher, math specialist, Atlanta, Georgia “Marian Small describes the development of major aspects of children’s mathematical thinking and connects them to many interesting and useful classroom activities.” —Herbert Ginsburg, professor emeritus, Teachers College, Columbia University “I love this book! The ideas are invaluable and the attention to detail is amazing.” —Nicki Newton, math consultant