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another word for subtract in math: The Mathematics of Love Hannah Fry, 2015-02-03 In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to divorce, sex to marriage—behind the rituals of love. The roller coaster of romance is hard to quantify; defining how lovers might feel from a set of simple equations is impossible. But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In The Mathematics of Love, Dr. Hannah Fry takes the reader on a fascinating journey through the patterns that define our love lives, applying mathematical formulas to the most common yet complex questions pertaining to love: What’s the chance of finding love? What’s the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves—with great insight, wit, and fun—that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, mysteries of love. |
another word for subtract in math: Bob Miller's Math for the TABE Level A Bob Miller, 2013-01-01 REA & Bob Miller Get You Ready to Tackle TABE Level A Math! Bob Miller has taught math to thousands of students at all educational levels for 30 years. His proven teaching methods can help students and adult learners tackle the math portion of the TABE and boost their scores. Bob Miller’s Math for the TABE Level A shows students how they should prepare for the math component of the TABE Level A. Unlike some dull test preps that merely present the material, Bob teaches and explains math concepts and ideas. His no-nonsense, easy-to-grasp style, and decades of experience as a math teacher help students really understand math. Each chapter is filled with examples and exercises plus explanations of solutions to illustrate the math concepts and reinforce skills. The easy-to-follow, student-friendly review covers all topics tested on the TABE Level A math portion: number operations, integers, decimals and fractions, word problems, geometry, and averages. The book also includes four practice tests that mirror the actual exam. REA offers the only independent test preparation for the TABE. Packed with examples, practice tests, and test-taking tips that boost confidence on exam day, this book is a must for anyone preparing for the TABE. What is the TABE? The Test for Adult Basic Education (TABE) is a diagnostic test used to determine a person’s skill levels and aptitudes in reading, English, and math. The TABE is administered across the country and is a good prep for anyone taking the GED. TABE Level A is the highest level available (the equivalent of grades 8-12), and the most popular exam in the TABE battery. |
another word for subtract in math: Bob Miller's Math for the ACT Bob Miller, 2012-08-15 Maximize Your Math Score on the ACT with Bob Miller! REA’s newest ACT test prep helps high school students master math and get into the college of their dreams! Bob Miller has taught math to thousands of students at all educational levels for 30 years. His proven teaching methods will help you master the math portion of the ACT and boost your score! Written in a lively and unique format that students embrace, Bob Miller’s Math for the ACT prepares ACT test-takers with everything they need to know to solve the math problems that typify the math portion of the ACT. Unlike some dull test preps that merely present the material, Bob actually teaches and explains math concepts and ideas. His no-nonsense, no-stress style and decades of experience as a math teacher help students boost their ACT math score. In this new test prep, Bob breaks down math and puts it back together in an easy-to-follow, step-by-step format. Each chapter is devoted to a specific topic and is packed with examples and exercises that reinforce math skills. Some of the topics covered include: - Exponents - Square Roots - Algebraic Manipulations - Equations and Inequalities - Geometry and more! Packed with Bob Miller’s engaging examples, ACT practice questions, plus test-taking tips and advice, this book is a must for any student preparing for the ACT! Remember, if you’re taking the ACT and need help with math, Bob Miller’s got your number! |
another word for subtract in math: Fundamentals of Mathematics Denny Burzynski, Wade Ellis, 2008 Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject. |
another word for subtract in math: Let's Play Math Denise Gaskins, 2012-09-04 |
another word for subtract in math: Prealgebra 2e Lynn Marecek, Maryanne Anthony-Smith, Andrea Honeycutt Mathis, 2020-03-11 The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi. |
another word for subtract in math: COMPASS Exam - Bob Miller's Math Prep Bob Miller, 2013-04-10 If You’re Taking the COMPASS Exam and Need Help with Math, Bob Miller has Your Solution!Bob Miller’s Math Review for the COMPASS ExamBob Miller has taught math to thousands of students at all educational levels for 30 years. His proven teaching methods help college-bound students succeed on the math portion of the COMPASS exam. Written in a lively and unique format, Bob Miller’s Math Review for the COMPASS Exam contains everything COMPASS test-takers need to know. Focused, easy-to-follow review chapters cover all the pre-algebra, algebra, geometry, and trigonometry skills tested on the exam. Drills and examples build skills and explain key concepts. The book includes two practice tests based on actual COMPASS test questions. Detailed explanations of answers help you identify your strengths and weaknesses while reinforcing your knowledge. Bob also gives you study tips, strategies, and confidence-boosting advice for test day, so you’ll be ready to tackle the COMPASS.Bob Miller’s Math Review for the COMPASS is just part of the equation! REA has also developed an all-new test prep for the verbal portion of the exam, Doug French’s Verbal Review for the COMPASS Exam. What is the COMPASS? The COMPASS is a computer-adaptive college placement exam used by high schools, technical schools, community colleges, and four-year colleges across the country. It evaluates the math, English language, and writing skill levels of incoming students. A high score on the COMPASS helps students advance to higher-level college classes. |
another word for subtract in math: Second Grade Math With Confidence Instructor Guide (Math with Confidence) Kate Snow, 2022-06-28 A scripted, open-and-go program that will have you teaching math confidently--even if you’ve never taught math before. From popular math educator Kate Snow, this easy-to-use program will give parents the tools they need to teach Math with Confidence—even if they’ve never taught math before. Short, engaging, and hands-on lessons will help children develop a strong understanding of Second Grade math, step by step. reading, writing, and comparing numbers to 1000 adding and subtracting 2- and 3-digit numbers solving addition and subtraction word problems telling time, counting money, and measuring length reading graphs, identifying 2-D and 3-D shapes, and understanding simple fractions Children will develop both strong number sense and a positive attitude toward math with fun activities like Pretend Restaurant, Measurement Tag, and Fraction Bump. All you’ll need are this Instructor Guide, the Student Workbook, and simple household items (like play money, base-ten blocks, a clock, and a ruler) to make math come alive for children. Short, hands-on, and developmentally-appropriate lessons Games and pretend activities make math fun Easy to use, with clear directions and explanatory notes Delightful (and optional) weekly enrichment lessons, with picture book recommendations and real-life math extension activities Memory work and daily review to ensure children retain what they’ve learned and master essential skills |
another word for subtract in math: Math for the ACT 2nd Ed., Bob Miller's Bob Miller, 2017-07-18 Maximize Your Math Score on the ACT with Bob Miller! Bob Miller's Math for the ACT* helps high school students master math and get into the college of their dreams! Bob Miller has taught math to thousands of students at all educational levels for 30 years. His proven teaching methods will help you master the math portion of the ACT and boost your score! Written in a lively and unique format that students embrace, Bob Miller’s Math for the ACT prepares ACT test-takers with everything they need to know to solve the math problems that typify the math portion of the ACT. Unlike some dull test preps that merely present the material, Bob actually teaches and explains math concepts and ideas. His no-nonsense, no-stress style and decades of experience as a math teacher help students boost their ACT math score. Bob breaks down math and puts it back together in an easy-to-follow, step-by-step format. Each chapter is devoted to a specific topic and is packed with examples and exercises that reinforce math skills. Some of the topics covered include: - Exponents - Square Roots - Algebraic Manipulations - Equations and Inequalities - Geometry Packed with Bob Miller’s engaging examples, practice questions, plus test-taking tips and advice, this book is a must for any student preparing for the ACT! Remember, if you’re taking the ACT and need help with math, Bob Miller’s got your number! |
another word for subtract in math: New GRE, Miller's Math Bob Miller, 2013-01-01 If you’re worried about your math score on the new GRE, get the guide that teaches you everything you need to know! Bob Miller’s Math for the New GRE Gets You into Grad School! Bob Miller has taught math to thousands of students at all educational levels for 30 years. His proven teaching methods help grad-school-bound students succeed on the math portion of the new GRE General Test. Written in a lively and unique format, Bob Miller’s Math for the New GRE is fully aligned with the new GRE General Test that launched in August 2011. This book is the perfect study companion for anyone taking the new GRE General. Bob Miller addresses the changes to the content and format of the exam while teaching math in an easy-to-understand style. Unlike some dull test preps that merely present the material, Bob actually teaches and explains math concepts and ideas. His no-nonsense, no-stress teaching methods and decades of experience as a math teacher help you master the material and get an excellent score. The book contains everything GRE test-takers need to know to solve the math problems that typify the Quantitative section of the exam. Each chapter is devoted to a specific topic and is packed with examples and exercises that reinforce the required math skills. Bob Miller’s Math for the New GRE is a must-have for anyone who needs to boost their math skills before taking the new GRE! |
another word for subtract in math: ACCUPLACER®: Bob Miller's Math Prep Bob Miller, 2012-06-11 Get a Higher Math Score on the Accuplacer with REA’s NEW Bob Miller Test Prep! If you’re one of the millions of students attending community college this year, REA has the perfect Accuplacer test prep for you - Bob Miller’s Math for the Accuplacer. Written in a lively and unique format, Bob Miller’s Math for the Accuplacer is an excellent tool for students who have been recently admitted to college and who want to improve their math skills before taking the Accuplacer exam. The book explains math concepts in a lively, easy-to-grasp style. Each chapter includes numerous step-by-step examples and exercises. Detailed explanations of solutions help students understand and retain the material. Bob’s targeted review section covers all the math topics tested on the Accuplacer, including arithmetic (17 questions on the test), elementary algebra (12 questions on the test), and college-level math (20 questions on the test). To help you get the most out of your Accuplacer preparation, Bob has included four practice tests for each section – for a total of 12 exams. Our test-taking advice, study tips, and exam strategies will prepare you for exam day, ease your anxiety, and help you boost your score. Packed with Bob Miller’s engaging examples and practical advice, this book is a must for any student preparing for the Accuplacer! What is the Accuplacer? The Accuplacer exam is used to determine which math courses are appropriate for newly enrolled college students. It is popular in community colleges and both two- and four-year schools. |
another word for subtract in math: Common Mistakes in Teaching Elementary Math—And How to Avoid Them Fuchang Liu, 2017-03-27 Learn the most effective ways to teach elementary math, no matter how much experience you have with the subject. In this book, Fuchang Liu takes you through many common mistakes in math instruction and explains the misunderstandings behind them. He points out practices that should be avoided, helping you to adjust your lessons so that all students can achieve success. You’ll discover how to... - Increase your confidence with core math principles and reasoning - Set your students on the path toward eventually developing more complex math skills - Improve student achievement by approaching problems in logical yet creative ways - Overcome common challenges faced by students and teachers - Teach problem solving for different learning styles Every chapter reconsiders well-established ways of teaching all areas of elementary math, from addition and subtraction to statistics and graphs. Helpful examples and tips are scattered throughout the book, offering revisions to the way these topics are often presented in the classroom. Also included are group study ideas for principals and instructional coaches so your school or district can work on the book together. With this practical guide, you’ll be ready to help students truly develop their math understanding. |
another word for subtract in math: Landmarks in Literacy Frank Smith, 2014-10-10 Frank Smith is internationally acclaimed as an essential contributor to research on the nature of reading and as an originator of the modern psycholinguistic approach to reading instruction. In his publications his aim has always been to support teachers, to encourage them to make teaching decisions based on knowledge and understanding, to analyze what their students are trying to do and why what the students are doing doesn’t always correspond with what they are expected to do. Now the major topics addressed in his work are available in one volume, Landmarks in Literacy, a thoughtfully crafted selection of 16 of his key writings. In the World Library of Educationalists, international scholars themselves compile career-long collections of what they judge to be their finest works so the world can read them in a single manageable volume. Readers thus are able to follow the themes and strands of their work and see their contribution to the development of a field, as well as the development of the field itself. |
another word for subtract in math: Zell's Popular Encyclopedia Leo de Colange, 1873 |
another word for subtract in math: Language Building Blocks Anita Pandey, 2015-04-26 Language Building Blocks is an accessible resource that familiarizes early childhood professionals with linguistics, the scientific study of language. Knowledge of linguistics will enable early childhood educators to successfully teach young children core competencies, ranging from phonemic awareness, reading and math, to health literacy and intercultural awareness. The text includes numerous real-life examples for diverse age groups and learning styles. The online Resource Guide provides hands-on activities and contributions by top scholars in the field. This resource shows teachers how to systematically empower and include all children. This teacher-friendly book: Provides an enhanced understanding of language and language acquisition, minimizing misdiagnoses of special needs.Makes language come alive for children and educators preparing for the Praxis Test.Demonstrates that children develop key skills when they can (dis)assemble language.Highlights approaches Dr. Seuss used to make reading fun for young readers.Offers innovative language and literacy observation and enhancement strategies, including multilingual math and literacy, language exploration, and play.Illustrates the value of observation, collaboration, and inquiry in early learning. “The great value of this resource is that it offers numerous 'bridging' reflections, strategies, and specific instructional interventions. It is a must for any educator that must understand the significant link between language and achievement in schooling contexts.” —From the Foreword by Eugene García “An extraordinarily informative, useful, and highly accessible tool for educators of young children of all language backgrounds. An excellent resource for teacher preparation and professional development.” —Dorothy S. Strickland, Samuel DeWitt Proctor Professor of Education, Emerita, Distinguished Research Fellow, National Institute for Early Education Research (NIEER), Rutgers, The State University of New Jersey “Informativo! Educators must know how to break down language, how discourse mirrors culture, and how Spanish and other languages promote success in core content areas.” —Rossana Ramirez Boyd, President, National Association for Bilingual Education “A truly necessary guide to understanding language for early childhood teachers in today’s multicultural and multilingual world. Pandey clearly explains the fullness and potential of linguistic knowledge in teaching, honoring the role of the reflective teacher, and celebrating the uniqueness of young children and their languages worldwide.” —Debora B. Wisneski, University of Nebraska at Omaha, President, Association for Childhood Education International (ACEI) Anita Pandey is professor of linguistics and coordinator of Professional Communication in the Department of English and Language Arts at Morgan State University, Baltimore, Maryland. |
another word for subtract in math: The Math Pact, Elementary Karen S. Karp, Barbara J. Dougherty, Sarah B. Bush, 2020-09-19 A school-wide solution for students’ mathematics success! Do you sometimes start to teach a mathematics concept and feel like you’re staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When rules seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular Rules that Expire series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, you’ll learn to avoid rules that expire—tricks that may seem to help students in one grade but hurt in the long run. Features of this book include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · Practical templates and checklists · PLC prompts and discussion points When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics! |
another word for subtract in math: Revealing Arithmetic Katherine Hannon, 2021-04-12 For years, Christian math books have looked basically like secular textbooks, with the addition of a Bible verse here or there. Here, at last, is a book to help you transform your math class and show your child God’s handiwork in math! Revealing Arithmetic will help you: Teach math from a biblical worldview. Worship the Lord in math. Help your child really understand concepts. Train your child to think mathematically. Transform everyday activities and objects into math lessons. Teach your child to use math as a real-life tool. Explore historical methods and symbols. This book is designed for homeschool parents needing a simple math guide to use alongside their curriculum and help them teach arithmetic to elementary students, older students needing a review of math basics before moving on to advanced mathematics, or Christian school or co-op teachers (or future teachers) wanting ideas on how to modify the curriculum to better reveal the truth of a Creator God. |
another word for subtract in math: Eureka Math Curriculum Study Guide Common Core, 2015-03-23 Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade K provides an overview of all of the Kindergarten modules, including Numbers to 10; Two-Dimensional and Three-Dimensional Shapes; Comparison of Length, Weight, Capacity, and Numbers to 10; Number Pairs, Addition and Subtraction to 10; Numbers 10–20 and Counting to 10; and Analyzing Comparing and Composing Shapes. |
another word for subtract in math: A Topology of Mind Robert K. Logan, Izabella Pruska-Oldenhof, 2022-05-06 This volume covers many diverse topics related in varying degrees to mathematics in mind including the mathematical and topological structures of thought and communication. It examines mathematics in mind from the perspective of the spiral, cyclic and hyperlinked structures of the human mind in terms of its language, its thoughts and its various modes of communication in science, philosophy, literature and the arts including a chapter devoted to the spiral structure of the thought of Marshall McLuhan. In it, the authors examine the topological structures of hypertext, hyperlinking, and hypermedia made possible by the Internet and the hyperlinked structures that existed before its emergence. It also explores the cognitive origins of mathematical thinking of the human mind and its relation to the emergence of spoken language, and studies the emergence of mathematical notation and its impact on education. Topics addressed include: • The historical context of any topic that involves how mathematical thinking emerged, focusing on archaeological and philological evidence. • Connection between math cognition and symbolism, annotation and other semiotic processes. • Interrelationships between mathematical discovery and cultural processes, including technological systems that guide the thrust of cognitive and social evolution. • Whether mathematics is an innate faculty or forged in cultural-historical context • What, if any, structures are shared between mathematics and language |
another word for subtract in math: Math Fundamentals National Assessment of Educational Progress (Project), 1975 |
another word for subtract in math: Proceedings of the Fourth International Congress on Mathematical Education M. Zweng, Green, Kilpatrick, Pollack, Suydam, 2012-12-06 Henry O. Pollak Chairman of the International Program Committee Bell Laboratories Murray Hill, New Jersey, USA The Fourth International Congress on Mathematics Education was held in Berkeley, California, USA, August 10-16, 1980. Previous Congresses were held in Lyons in 1969, Exeter in 1972, and Karlsruhe in 1976. Attendance at Berkeley was about 1800 full and 500 associate members from about 90 countries; at least half of these come from outside of North America. About 450 persons participated in the program either as speakers or as presiders; approximately 40 percent of these came from the U.S. or Canada. There were four plenary addresses; they were delivered by Hans Freudenthal on major problems of mathematics education, Hermina Sinclair on the relationship between the learning of language and of mathematics, Seymour Papert on the computer as carrier of mathematical culture, and Hua Loo-Keng on popularising and applying mathematical methods. Gearge Polya was the honorary president of the Congress; illness prevented his planned attendence but he sent a brief presentation entitled, Mathematics Improves the Mind. There was a full program of speakers, panelists, debates, miniconferences, and meetings of working and study groups. In addition, 18 major projects from around the world were invited to make presentations, and various groups representing special areas of concern had the opportunity to meet and to plan their future activities. |
another word for subtract in math: Mathematics Strategies for the Inclusive Classroom Toby Karten, 2019-02-22 This reference guide is designed to help educators as they plan and teach mathematics lessons within inclusive K-5 classrooms. It provides instructional strategies to establish and maintain high math expectations and outcomes for all students, including those with IEPs, English learners, and other students with differences. These strategies value appropriate adaptations, which include: modeling, scaffolding, reinforcing, strengthening, and enriching learner levels. Recommendations for core instruction, inclusive strategies, and resources are offered to increase learners’ procedural and conceptual mathematical knowledge. |
another word for subtract in math: Using Children's Literature to Teach Problem Solving in Math Jeanne White, 2016-08-05 Learn how children’s literature can help K–5 students see the real-life applications of mathematical concepts. This user-friendly book shows how to use stories to engage students in building critical reasoning, abstract thinking, and communication skills, all while helping students understand the relevance of math in their everyday lives. Each chapter is dedicated to one of the eight Standards for Mathematical Practice, and offers examples of children’s literature that can be used to help students develop that practice. You’ll find out how to: Encourage students to persevere in solving mathematical problems and use multiple approaches to find the answer; Help students reason abstractly with the aid of concrete objects and visuals; Guide students in constructing arguments to explain their reasoning and engage in critical discussion with their peers; Teach students to recognize mathematical patterns and use them to solve problems efficiently; And more! The book offers activities for beginners as well as for more advanced problem solvers. Each chapter also provides guidance for ELLs and students with special needs, so no matter your classroom environment, you’ll be able to use these strategies to make math class more dynamic, engaging, and fun. |
another word for subtract in math: Doing Math in Morning Meeting Andy Dousis, Margaret Berry Wilson, 2010 Bring joy and energy to math learning without adding to your already-packed schedule! Here are 150 fun and engaging math activities suitable for kindergartners to 5th graders, with math-themed ideas for all four Morning Meeting components: greeting, group activity, sharing, and morning message. Use these games, songs, chants, hands-on experiments, and more to inspire students' interest in math and help them practice skills. Each activity includes easy how-to steps; relevant NCTM content and process standards; specific math skills addressed; materials needed (all require few or no materials); tips on preparing students for success; math vocabulary to emphasize; and variations and extensions. |
another word for subtract in math: Cognitive Science and Mathematics Education Alan H. Schoenfeld, 2013-04-03 This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider. |
another word for subtract in math: Math with Bad Drawings Ben Orlin, 2018-09-18 A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark bad drawings, which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike. |
another word for subtract in math: Classroom-Ready Rich Math Tasks, Grades K-1 Beth McCord Kobett, Francis (Skip) Fennell, Karen S. Karp, Delise Andrews, Latrenda Knighten, Jeff Shih, 2021-04-12 Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don’t have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades K-1 details 56 research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students’ strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible. |
another word for subtract in math: Eureka Math Grade 2 Study Guide Great Minds, 2015-11-09 Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 2 provides an overview of all of the Grade 2 modules, including Sums and Differences to 20; Addition and Subtraction of Length Units; Place Value, Counting, and Comparison of Numbers to 1,000; Addition and Subtraction Within 200 with Word Problems to 100; Addition and Subtraction Within 1,000 with Word Problems to 100; Foundations of Multiplication and Division; Problem Solving with Length, Money, and Data; and Time, Shapes, and Fractions as Equal Parts of Shapes. |
another word for subtract in math: Math Instruction for Students with Learning Difficulties Susan Perry Gurganus, 2021-11-29 This richly updated third edition of Math Instruction for Students with Learning Difficulties presents a research-based approach to mathematics instruction designed to build confidence and competence in preservice and inservice PreK- 12 teachers. Referencing benchmarks of both the National Council of Teachers of Mathematics and Common Core State Standards for Mathematics, this essential text addresses teacher and student attitudes towards mathematics as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. Chapters on assessment and instruction precede strands that focus on critical concepts. Replete with suggestions for class activities and field extensions, the new edition features current research across topics and an innovative thread throughout chapters and strands: multi-tiered systems of support as they apply to mathematics instruction. |
another word for subtract in math: Math Instruction for Students with Learning Problems Susan Perry Gurganus, 2017-02-24 Math Instruction for Students with Learning Problems, Second Edition provides a research-based approach to mathematics instruction designed to build confidence and competence in pre- and in-service PreK–12 teachers. This core textbook addresses teacher and student attitudes toward mathematics, as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. The material is rich with opportunities for class activities and field extensions, and the second edition has been fully updated to reference both NCTM and CCSSM standards throughout the text and includes an entirely new chapter on measurement and data analysis. |
another word for subtract in math: Math Phonics - Pre-Algebra Marilyn B. Hein, 2004-03-01 Basic math skills to prepare them for algebra. Her fun methods and concrete examples will help younger students begin to grasp the principles of algebra before they actually have to deal with the complete course. Included are easy-to-understand explanations and instructions, wall charts, games, activity pages and worksheets. As in all her Math Phonics books, the author emphasizes three important principles: understanding, learning and mastery. Students will learn about integers, exponents and scientific notation, expressions, graphing, slope, binomials and trinomials. In addition to helpful math rules and facts, a complete answer key is provided. As students enjoy the quick tips and alternative techniques for math mastery, teachers will appreciate the easy-going approach to a difficult subject. |
another word for subtract in math: The Mathematics Practitioner’s Guidebook for Collaborative Lesson Research Akihiko Takahashi, Geoffrey Wake, 2023-10-02 This resource provides mathematics educators with tools for conducting Collaborative Lesson Research (CLR), a form of Lesson Study developed out of the original Japanese Lesson Study and intended to improve student and teacher learning. Renowned mathematics education researchers Akihiko Takahashi and Geoffrey Wake bring together educators across the US and UK with first-hand experience using CLR in their schools. Readers will learn the essentials for an impactful Lesson Study directly from the scholars who coined the term, and benefit from the dual perspectives of math education researchers and teachers who have used CLR when reflecting on their own classroom pedagogy. These contributors define CLR and provide examples of successful CLR using real-life case studies, as well as introducing pathways for getting started and practical suggestions for implementation into different school environments. Across these examples, readers will: understand the essence of Lesson Study, considered as CLR, and its important features be advised what participants in CLR should expect to do (observing research lessons, designing lessons, teaching research lessons, facilitating post-lesson discussion, etc.) and provide guidance and support with this enactment be advised on how to develop, embed, and sustain CLR communities preview potential outcomes over time from undertaking CLR Research lesson proposals and plans to support readers in understanding CLR are also included. Ideal for practicing teachers, teacher leaders, teacher educators, and professional developers involved in mathematics teaching, this book offers first-of-its-kind entry points for CLR. Its combination of theory and practice will empower educators to implement this increasingly popular vehicle for understanding students’ learning of mathematics. |
another word for subtract in math: Answers to Your Biggest Questions About Teaching Elementary Math John J. SanGiovanni, Susie Katt, Latrenda D. Knighten, Georgina Rivera, 2021-09-09 Your guide to grow and learn as a math teacher! Let’s face it, teaching elementary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Today, we recognize placing the student at the center of their learning increases engagement, motivation, and academic achievement soars. Teaching math in a student-centered way changes the role of the teacher from one who traditionally “delivers knowledge” to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching elementary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues—especially new teachers—every day. Questions and answers are organized into five areas of effort that will help you most thrive in your elementary math classroom: 1. How do I build a positive math community? 2. How do I structure, organize, and manage my math class? 3. How do I engage my students in math? 4. How do I help my students talk about math? 5. How do I know what my students know and move them forward? Woven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question—Where do I go from here?— offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey? |
another word for subtract in math: Mathematics , 2004 |
another word for subtract in math: A Journey Through Math-Land Reza Noubary, 2021-11-02 If you look at math by eyes you see symbols, by brain knowledge, by heart truth, and by soul God. This book is about flying over math-land, enjoying the view, and landing safely. It seems inconceivable how much we rely on mathematics/numbers in our daily lives and how natural it feels. Our birth is announced by a set of numbers representing the time, date, and our height and weight. We become a functioning member of society only after a Social Security number is assigned to us. Our health and fitness are evaluated using numbers representing our blood pressure, heart rate, body temperature, and so on. From that point onward, every action performed and every life encountered becomes part of our ongoing use of mathematics/numbers. This book traces applications of mathematics. The goal is to find a way to delight readers about the discipline and open the door for them to see its beauty by presenting a variety of applications. It is particularly useful for the individuals with some mathematics background or interests. |
another word for subtract in math: 180 Days of Math for Kindergarten, 2nd Edition ebook Elise Wallace, 2024-08-01 Develop foundational mathematics skills with 180 Days of Math, 2nd Edition, a workbook of fun and effective daily practice activities. This easy-to-use kindergarten workbook is great for at-home learning or classroom instruction. Watch students learn to tackle math problems more confidently with these standards-based learning activities. The second edition of this activity book incorporates thematic units and offers digital math learning resources. The new edition also includes modeling pages to explain major concepts and helpful sidebars to extend learning. Parents appreciate the grade-appropriate math concepts and engaging practice pages that children will enjoy. The daily math practice is great for homeschool, to reinforce learning at school, or to prevent learning loss over summer. Teachers rely on these workbooks to save them valuable time and address learning gaps. |
another word for subtract in math: Excel Start Up Maths Damon James, 2007 The Excel series of Start Up Maths workbooks for Years 3&nda sh; ...7 have been specifically designed to be used as classroom or home work books in order to assist students, teachers and parents with their understanding of mathematics. Each book in the series covers the year,,s work in detail. Innovative features provide an integrated and supportiv e approach to learning. All units of work, review tests and Start Up sec tions are interrelated and cross-referenced to each other. This series o f books is a must for students who want to cover the year,,s work compre hensively, with no gaps in their knowledge. The completion of this workb ook in Year 4 will ensure that a student will be fully prepared for the work in Year 5. In this book your child will find: 176 units of work to complete 35 review tests for revision over 2000 exercises to practise a Start Up section fo r extra help with understanding questions comprehensive coverag e of the year,,s work |
another word for subtract in math: School Counseling Practicum and Internship Helen S. Hamlet, 2016-11-17 School Counseling Practicum and Internship: 30 Essential Lessons combines crucial counselor knowledge with the experience of experts in the field into one practical guide for addressing the real world of school counseling. Drawing on more than a decade of teaching, author Helen S. Hamlet, PhD presents a collection of lessons and techniques that includes forms, websites, activities, and current information focusing on a range of challenging issues. This unique text is a resource that practicum and internship students, counselor educators, and practicing school counselors will keep and refer to for years to come. |
another word for subtract in math: How Mathematics Happened Peter S. Rudman, 2009-12-30 In this fascinating discussion of ancient mathematics, author Peter Rudman does not just chronicle the archeological record of what mathematics was done; he digs deeper into the more important question of why it was done in a particular way. Why did the Egyptians use a bizarre method of expressing fractions? Why did the Babylonians use an awkward number system based on multiples of 60? Rudman answers such intriguing questions, arguing that some mathematical thinking is universal and timeless. The similarity of the Babylonian and Mayan number systems, two cultures widely separated in time and space, illustrates the argument. He then traces the evolution of number systems from finger counting in hunter-gatherer cultures to pebble counting in herder-farmer cultures of the Nile and Tigris-Euphrates valleys, which defined the number systems that continued to be used even after the invention of writing. With separate chapters devoted to the remarkable Egyptian and Babylonian mathematics of the era from about 3500 to 2000 BCE, when all of the basic arithmetic operations and even quadratic algebra became doable, Rudman concludes his interpretation of the archeological record. Since some of the mathematics formerly credited to the Greeks is now known to be a prior Babylonian invention, Rudman adds a chapter that discusses the math used by Pythagoras, Eratosthenes, and Hippasus, which has Babylonian roots, illustrating the watershed difference in abstraction and rigor that the Greeks introduced. He also suggests that we might improve present-day teaching by taking note of how the Greeks taught math. Complete with sidebars offering recreational math brainteasers, this engrossing discussion of the evolution of mathematics will appeal to both scholars and lay readers with an interest in mathematics and its history. |
another word for subtract in math: Mastering Math Manipulatives, Grades K-3 Sara Delano Moore, Kimberly Rimbey, 2021-10-04 Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as two-color counters, linking cubes, base ten blocks, fraction manipulatives, pattern blocks, tangrams, geometric solids, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: • Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. • Step-by-step instructions for 75 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. • Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. |
articles - "another", "an another" or "a another" which one is ...
Apr 8, 2021 · another film; Share. Improve this answer. Follow answered Apr 8, 2021 at 8:56. Rounin Rounin. 762 4 4 ...
英语中,another、other、one another、the other 应该怎么区 …
There are three kids in the room. One is Red, another is Jerry. 将the other改为了another,这个句子就是正确的了。 大家可以用下面示例仔细体会一下“the other”和“another”的区别: There …
A phrase for something that happens immediately after another …
But it's unclear whether you want a word/phrase for "something that happens immediately after another thing" as mentioned the title or a word/phrase for "at the same time (immediately after …
idioms - "On one hand" vs "on the one hand." - English Language ...
Mar 2, 2019 · Note that non-native speakers may be mapping their own languages' expressions to English. For example, in Portuguese we use "por um lado" and "por outro lado", which would …
Difference between "one after another" and "one after the other"
Aug 1, 2020 · 'One after another' and 'one after the other' mean the same. One person after another, One after another of my friends, If events/actions happen one after the other/one after …
What is another word for “sh*t”? - English Language Learners …
Dec 13, 2014 · In American English, a good, minimally offensive substitution is "crap," which can refer to feces, defecation, junk, garbage, a lack of quality, or even another person's …
what is the difference between on, in or at a meeting?
Mar 17, 2017 · Refers to the person attending a meeting at another premises (i.e. off-site). Coming to your third statement: He is on a meeting . The above statement incorrect, and …
grammar - "on its way" vs. "in its way" - English Language Learners ...
Feb 27, 2019 · Another way to think about it is that something "on the way" is convenient, while something "in the way" is an obstruction. It's possible to have both in the same sentence: On …
What's a preferred alternative to the phrase 'do the needful'?
I've been in many situations where I felt someone of another culture was being rude to me because they implied I already knew what they wanted me to do. (Even when you know they …
How can I say "I am sorry for sending you the consequent emails" …
Jun 25, 2015 · I am sending another email before receiving any reply and want to apologize for that at the beginning of the second in an official way. How can I say "I am sorry for sending …
articles - "another", "an another" or "a another" which one is ...
Apr 8, 2021 · another film; Share. Improve this answer. Follow answered Apr 8, 2021 at 8:56. Rounin Rounin. 762 4 4 ...
英语中,another、other、one another、the other 应该怎么区别?
There are three kids in the room. One is Red, another is Jerry. 将the other改为了another,这个句子就是正确的了。 大家可以用下面示例仔细体会一下“the other”和“another”的区别: There are four …
A phrase for something that happens immediately after another thing
But it's unclear whether you want a word/phrase for "something that happens immediately after another thing" as mentioned the title or a word/phrase for "at the same time (immediately after or …
idioms - "On one hand" vs "on the one hand." - English Language ...
Mar 2, 2019 · Note that non-native speakers may be mapping their own languages' expressions to English. For example, in Portuguese we use "por um lado" and "por outro lado", which would map …
Difference between "one after another" and "one after the other"
Aug 1, 2020 · 'One after another' and 'one after the other' mean the same. One person after another, One after another of my friends, If events/actions happen one after the other/one after …
What is another word for “sh*t”? - English Language Learners Stack …
Dec 13, 2014 · In American English, a good, minimally offensive substitution is "crap," which can refer to feces, defecation, junk, garbage, a lack of quality, or even another person's possessions …
what is the difference between on, in or at a meeting?
Mar 17, 2017 · Refers to the person attending a meeting at another premises (i.e. off-site). Coming to your third statement: He is on a meeting . The above statement incorrect, and should not be …
grammar - "on its way" vs. "in its way" - English Language Learners ...
Feb 27, 2019 · Another way to think about it is that something "on the way" is convenient, while something "in the way" is an obstruction. It's possible to have both in the same sentence: On the …
What's a preferred alternative to the phrase 'do the needful'?
I've been in many situations where I felt someone of another culture was being rude to me because they implied I already knew what they wanted me to do. (Even when you know they probably …
How can I say "I am sorry for sending you the consequent emails" in ...
Jun 25, 2015 · I am sending another email before receiving any reply and want to apologize for that at the beginning of the second in an official way. How can I say "I am sorry for sending you the …