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The Math Teachers Know: Profound Understanding of Emergent Mathematics
by Brent Davis Moshe RenertWhat sorts of mathematics competencies must teachers have in order to teach the discipline well? This book offers a novel take on the question. Most research is focused on explicit knowledge–that is, on the sorts of insights that might be specified, catalogued, taught, and tested. In contrast, this book focuses on the tacit dimensions of teachers’ mathematics knowledge that precede and enable their competencies with formal mathematics. It highlights the complexity of this knowledge and offers strategies to uncover it, analyze it, and re-synthesize it in ways that will make it more available for teaching. Emerging from 10 years of collaborative inquiry with practicing teachers, it is simultaneously informed by the most recent research and anchored to the realities of teachers’ lives in classrooms.
The Math Teachers Know: Profound Understanding of Emergent Mathematics
by Brent Davis Moshe RenertWhat sorts of mathematics competencies must teachers have in order to teach the discipline well? This book offers a novel take on the question. Most research is focused on explicit knowledge–that is, on the sorts of insights that might be specified, catalogued, taught, and tested. In contrast, this book focuses on the tacit dimensions of teachers’ mathematics knowledge that precede and enable their competencies with formal mathematics. It highlights the complexity of this knowledge and offers strategies to uncover it, analyze it, and re-synthesize it in ways that will make it more available for teaching. Emerging from 10 years of collaborative inquiry with practicing teachers, it is simultaneously informed by the most recent research and anchored to the realities of teachers’ lives in classrooms.
The Math Teacher's Toolbox: Hundreds of Practical Ideas to Support Your Students (The Teacher's Toolbox Series)
by Bobson Wong Larisa BukalovMath teachers will find the classroom-tested lessons and strategies in this book to be accessible and easily implemented in the classroom The Teacher’s Toolbox series is an innovative, research-based resource providing teachers with instructional strategies for students of all levels and abilities. Each book in the collection focuses on a specific content area. Clear, concise guidance enables teachers to quickly integrate low-prep, high-value lessons and strategies in their middle school and high school classrooms. Every strategy follows a practical, how-to format established by the series editors. The Math Teacher's Toolbox contains hundreds of student-friendly classroom lessons and teaching strategies. Clear and concise chapters, fully aligned to Common Core math standards, cover the underlying research, required technology, practical classroom use, and modification of each high-value lesson and strategy. This book employs a hands-on approach to help educators quickly learn and apply proven methods and techniques in their mathematics courses. Topics range from the planning of units, lessons, tests, and homework to conducting formative assessments, differentiating instruction, motivating students, dealing with “math anxiety,” and culturally responsive teaching. Easy-to-read content shows how and why math should be taught as a language and how to make connections across mathematical units. Designed to reduce instructor preparation time and increase student engagement and comprehension, this book: Explains the usefulness, application, and potential drawbacks of each instructional strategy Provides fresh activities for all classrooms Helps math teachers work with ELLs, advanced students, and students with learning differences Offers real-world guidance for working with parents, guardians, and co-teachers The Math Teacher's Toolbox: Hundreds of Practical ideas to Support Your Students is an invaluable source of real-world lessons, strategies, and techniques for general education teachers and math specialists, as well as resource specialists/special education teachers, elementary and secondary educators, and teacher educators.
The Math Teacher's Toolbox: Hundreds of Practical Ideas to Support Your Students (The Teacher's Toolbox Series)
by Bobson Wong Larisa BukalovMath teachers will find the classroom-tested lessons and strategies in this book to be accessible and easily implemented in the classroom The Teacher’s Toolbox series is an innovative, research-based resource providing teachers with instructional strategies for students of all levels and abilities. Each book in the collection focuses on a specific content area. Clear, concise guidance enables teachers to quickly integrate low-prep, high-value lessons and strategies in their middle school and high school classrooms. Every strategy follows a practical, how-to format established by the series editors. The Math Teacher's Toolbox contains hundreds of student-friendly classroom lessons and teaching strategies. Clear and concise chapters, fully aligned to Common Core math standards, cover the underlying research, required technology, practical classroom use, and modification of each high-value lesson and strategy. This book employs a hands-on approach to help educators quickly learn and apply proven methods and techniques in their mathematics courses. Topics range from the planning of units, lessons, tests, and homework to conducting formative assessments, differentiating instruction, motivating students, dealing with “math anxiety,” and culturally responsive teaching. Easy-to-read content shows how and why math should be taught as a language and how to make connections across mathematical units. Designed to reduce instructor preparation time and increase student engagement and comprehension, this book: Explains the usefulness, application, and potential drawbacks of each instructional strategy Provides fresh activities for all classrooms Helps math teachers work with ELLs, advanced students, and students with learning differences Offers real-world guidance for working with parents, guardians, and co-teachers The Math Teacher's Toolbox: Hundreds of Practical ideas to Support Your Students is an invaluable source of real-world lessons, strategies, and techniques for general education teachers and math specialists, as well as resource specialists/special education teachers, elementary and secondary educators, and teacher educators.
Math Tools: 500+ Applications in Science and Arts
by Georg GlaeserIn this book, topics such as algebra, trigonometry, calculus and statistics are brought to life through over 500 applications ranging from biology, physics and chemistry to astronomy, geography and music.With over 600 illustrations emphasizing the beauty of mathematics, Math Tools complements more theoretical textbooks on the market, bringing the subject closer to the reader and providing a useful reference to students. By highlighting the ubiquity of mathematics in practical fields, the book will appeal not only to students and teachers, but to anyone with a keen interest in mathematics and its applications.
Math Warm-Ups: Developing Fluency in Math (Grade 4)
by Sheri DisbrowThese success-proven exercises provide daily practice in various areas of math. There are 10 problems per page that reinforce and facilitate conceptual understanding in number sense, math reasoning, computation, time, money, measurement, geometry, probability, graphing, fractions, and decimals. The exercises systematically provide students opportunities to get practice in the most important math objectives each week and provide the teacher with immediate, easy-to-administer feedback on students' mastery.This workbook can be used as a warm-up, homework, or as a diagnostic tool for the teacher, parent, or administrator. The individual pages can be used to diagnose weak areas and provide opportunities to facilitate the students' full understanding of concepts. Students are challenged and consistently exposed to a variety of concepts in all objective areas. Each book spirals in level of difficulty and continues to encourage students to think about math in real-life situations.For math proficiency activities at lower levels, see Math Warm-Ups Grade 2 and Math Warm-Ups Grade 3.This series meets NCTM standards and builds test-taking proficiency.Grade 4
Math Warm-Ups: Developing Fluency in Math (Grade 2)
by Sheri DisbrowThese success-proven exercises provide daily practice in various areas of math. There are 10 problems per page that reinforce and facilitate conceptual understanding in number sense, math reasoning, computation, time, money, measurement, geometry, probability, graphing, fractions, and decimals. The exercises systematically provide students opportunities to get practice in the most important math objectives each week and provide the teacher with immediate, easy-to-administer feedback on students' mastery.This workbook can be used as a warm-up, homework, or as a diagnostic tool for the teacher, parent, or administrator. The individual pages can be used to diagnose weak areas and provide opportunities to facilitate the students' full understanding of concepts. Students are challenged and consistently exposed to a variety of concepts in all objective areas. Each book spirals in level of difficulty and continues to encourage students to think about math in real-life situations.For math proficiency activities at more advanced levels, see Math Warm-Ups Grade 3 and Math Warm-Ups Grade 4.This series meets NCTM standards and builds test-taking proficiency.Grade 2
Math Warm-Ups: Developing Fluency in Math (Grade 3)
by Sheri DisbrowThese success-proven exercises provide daily practice in various areas of math. There are 10 problems per page that reinforce and facilitate conceptual understanding in number sense, math reasoning, computation, time, money, measurement, geometry, probability, graphing, fractions, and decimals. The exercises systematically provide students opportunities to get practice in the most important math objectives each week and provide the teacher with immediate, easy-to-administer feedback on students' mastery.This workbook can be used as a warm-up, homework, or as a diagnostic tool for the teacher, parent, or administrator. The individual pages can be used to diagnose weak areas and provide opportunities to facilitate the students' full understanding of concepts. Students are challenged and consistently exposed to a variety of concepts in all objective areas. Each book spirals in level of difficulty and continues to encourage students to think about math in real-life situations.For math proficiency activities at alternative levels, see Math Warm-Ups Grade 2 and Math Warm-Ups Grade 4.This series meets NCTM standards and builds test-taking proficiency.Grade 3
Math Warm-Ups: Developing Fluency in Math (Grade 4)
by Sheri DisbrowThese success-proven exercises provide daily practice in various areas of math. There are 10 problems per page that reinforce and facilitate conceptual understanding in number sense, math reasoning, computation, time, money, measurement, geometry, probability, graphing, fractions, and decimals. The exercises systematically provide students opportunities to get practice in the most important math objectives each week and provide the teacher with immediate, easy-to-administer feedback on students' mastery.This workbook can be used as a warm-up, homework, or as a diagnostic tool for the teacher, parent, or administrator. The individual pages can be used to diagnose weak areas and provide opportunities to facilitate the students' full understanding of concepts. Students are challenged and consistently exposed to a variety of concepts in all objective areas. Each book spirals in level of difficulty and continues to encourage students to think about math in real-life situations.For math proficiency activities at lower levels, see Math Warm-Ups Grade 2 and Math Warm-Ups Grade 3.This series meets NCTM standards and builds test-taking proficiency.Grade 4
Math Warm-Ups: Developing Fluency in Math (Grade 3)
by Sheri DisbrowThese success-proven exercises provide daily practice in various areas of math. There are 10 problems per page that reinforce and facilitate conceptual understanding in number sense, math reasoning, computation, time, money, measurement, geometry, probability, graphing, fractions, and decimals. The exercises systematically provide students opportunities to get practice in the most important math objectives each week and provide the teacher with immediate, easy-to-administer feedback on students' mastery.This workbook can be used as a warm-up, homework, or as a diagnostic tool for the teacher, parent, or administrator. The individual pages can be used to diagnose weak areas and provide opportunities to facilitate the students' full understanding of concepts. Students are challenged and consistently exposed to a variety of concepts in all objective areas. Each book spirals in level of difficulty and continues to encourage students to think about math in real-life situations.For math proficiency activities at alternative levels, see Math Warm-Ups Grade 2 and Math Warm-Ups Grade 4.This series meets NCTM standards and builds test-taking proficiency.Grade 3
Math Warm-Ups: Developing Fluency in Math (Grade 2)
by Sheri DisbrowThese success-proven exercises provide daily practice in various areas of math. There are 10 problems per page that reinforce and facilitate conceptual understanding in number sense, math reasoning, computation, time, money, measurement, geometry, probability, graphing, fractions, and decimals. The exercises systematically provide students opportunities to get practice in the most important math objectives each week and provide the teacher with immediate, easy-to-administer feedback on students' mastery.This workbook can be used as a warm-up, homework, or as a diagnostic tool for the teacher, parent, or administrator. The individual pages can be used to diagnose weak areas and provide opportunities to facilitate the students' full understanding of concepts. Students are challenged and consistently exposed to a variety of concepts in all objective areas. Each book spirals in level of difficulty and continues to encourage students to think about math in real-life situations.For math proficiency activities at more advanced levels, see Math Warm-Ups Grade 3 and Math Warm-Ups Grade 4.This series meets NCTM standards and builds test-taking proficiency.Grade 2
Math Wise! Over 100 Hands-On Activities that Promote Real Math Understanding, Grades K-8: Over 100 Hands-on Activities That Promote Real Math Understanding
by James L. Overholt Laurie KincheloeA fun, easy-to-implement collection of activities that give elementary and middle-school students a real understanding of key math concepts Math is a difficult and abstract subject for many students, yet teachers need to make sure their students comprehend basic math concepts. This engaging activity book is a resource teachers can use to give students concrete understanding of the math behind the questions on most standardized tests, and includes information that will give students a firm grounding to work with more advanced math concepts. Contains over 100 activities that address topics like number sense, geometry, computation, problem solving, and logical thinking. Includes projects and activities that are correlated to National Math Education Standards Activities are presented in order of difficulty and address different learning styles Math Wise! is a key resource for teachers who want to teach their students the fundamentals that drive math problems.
Math Wise! Over 100 Hands-On Activities that Promote Real Math Understanding, Grades K-8
by James L. Overholt Laurie KincheloeA fun, easy-to-implement collection of activities that give elementary and middle-school students a real understanding of key math concepts Math is a difficult and abstract subject for many students, yet teachers need to make sure their students comprehend basic math concepts. This engaging activity book is a resource teachers can use to give students concrete understanding of the math behind the questions on most standardized tests, and includes information that will give students a firm grounding to work with more advanced math concepts. Contains over 100 activities that address topics like number sense, geometry, computation, problem solving, and logical thinking. Includes projects and activities that are correlated to National Math Education Standards Activities are presented in order of difficulty and address different learning styles Math Wise! is a key resource for teachers who want to teach their students the fundamentals that drive math problems.
Math with Bad Drawings: Illuminating The Ideas That Shape Our Reality
by Ben OrlinIn MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark "bad drawings," which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as "Statistics: The Fine Art of Honest Lying," "Design: The Geometry of Stuff That Works," and "Probability: The Mathematics of Maybe," MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.
Math with Bad Drawings: Illuminating the Ideas That Shape Our Reality
by Ben OrlinA 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.
Math Without Numbers
by Milo Beckman'A cheerful, chatty, and charming trip through the world of mathematics and its relation to the world of people - and not a number in sight! Everyone should read this delightful book. Even mathematicians' Ian Stewart, author of Do Dice Play God?The only numbers in this book are the page numbers.The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is there a million dollar prize for counting shapes? Is anything bigger than infinity? And how is the 'truth' of mathematics actually decided?A vivid and wholly original guide to the math that makes the world tick and the planets revolve, Math Without Numbers makes human and understandable the elevated and hypothetical, allowing us to clearly see abstract math for what it is: bizarre, beautiful, and head-scratchingly wonderful.
Math Word Problems For Dummies
by Mary Jane SterlingCovers percentages, probability, proportions, and more Get a grip on all types of word problems by applying them to real life Are you mystified by math word problems? This easy-to-understand guide shows you how to conquer these tricky questions with a step-by-step plan for finding the right solution each and every time, no matter the kind or level of problem. From learning math lingo and performing operations to calculating formulas and writing equations, you'll get all the skills you need to succeed! Discover how to: * Translate word problems into plain English * Brush up on basic math skills * Plug in the right operation or formula * Tackle algebraic and geometric problems * Check your answers to see if they work
Math Workshop in Action: Strategies for Grades K-5
by Nicki NewtonFind out how Math Workshops engage students and increase learning. This practical book from bestselling author Dr. Nicki Newton explains why Math Workshops are effective and gives you step-by-step instructions for implementing and managing your own workshop. You’ll find out how to... create a math-rich environment; use anchor charts effectively; manage the workshop; begin a workshop with activities; lead whole-group mini-lessons; make workstations meaningful and engaging; create guided math groups; implement "the Share" effectively; and ensure balanced assessments. Each chapter offers a variety of charts and tools that you can use in the classroom immediately, as well as reflection questions and key points. The book also features a handy Quick-Start Guide to help you as you implement your own workshop.
Math Workshop in Action: Strategies for Grades K-5
by Nicki NewtonFind out how Math Workshops engage students and increase learning. This practical book from bestselling author Dr. Nicki Newton explains why Math Workshops are effective and gives you step-by-step instructions for implementing and managing your own workshop. You’ll find out how to... create a math-rich environment; use anchor charts effectively; manage the workshop; begin a workshop with activities; lead whole-group mini-lessons; make workstations meaningful and engaging; create guided math groups; implement "the Share" effectively; and ensure balanced assessments. Each chapter offers a variety of charts and tools that you can use in the classroom immediately, as well as reflection questions and key points. The book also features a handy Quick-Start Guide to help you as you implement your own workshop.
Mathability: Math in the Real World (Grades 5-8)
by Michael CainMathability gives students the experience and ability to analyze and solve real-life mathematical problems, and explain their methods for arriving at the solution. Mathability is an excellent resource for preparing students for the performance tasks of standards-based tests. The six units in this book each have 10 problems that deal with a variety of real-life situations, such as those at a construction site, on vacation, in a business, and at home. The open-ended problems let students hone their skills in geometry, probability, percentages, use of charts, algebra, number relations/operations, money, and decimals. Open-ended performance tasks have become a mainstay of standards-based testing. It is one of the tasks that most students perform at below proficiency level. Much of this low performance is due to a student's lack of experience with writing explanations of the mathematics that made it possible to solve the problem. Mathabilty presents a systematic approach that will lead students to proficiency.Within each unit, this book provides four different levels of problems. The Step-by-Step Level leads a student through the problem and provides a format for presenting their answers. The Prompted Level provides the format for presenting the solution and hints on how to solve the problem. The Independent Level allows students to solve and explain their answers on their own, and the Challenge Level problems present a venue for gifted and talented students to push their skills to a higher level.Grades 5-8
Mathability: Math in the Real World (Grades 5-8)
by Michael CainMathability gives students the experience and ability to analyze and solve real-life mathematical problems, and explain their methods for arriving at the solution. Mathability is an excellent resource for preparing students for the performance tasks of standards-based tests. The six units in this book each have 10 problems that deal with a variety of real-life situations, such as those at a construction site, on vacation, in a business, and at home. The open-ended problems let students hone their skills in geometry, probability, percentages, use of charts, algebra, number relations/operations, money, and decimals. Open-ended performance tasks have become a mainstay of standards-based testing. It is one of the tasks that most students perform at below proficiency level. Much of this low performance is due to a student's lack of experience with writing explanations of the mathematics that made it possible to solve the problem. Mathabilty presents a systematic approach that will lead students to proficiency.Within each unit, this book provides four different levels of problems. The Step-by-Step Level leads a student through the problem and provides a format for presenting their answers. The Prompted Level provides the format for presenting the solution and hints on how to solve the problem. The Independent Level allows students to solve and explain their answers on their own, and the Challenge Level problems present a venue for gifted and talented students to push their skills to a higher level.Grades 5-8
Mathe-Basics zum Studienbeginn: Survival-Kit Mathematik
by Albrecht BeutelspacherIn diesem Buch wird die Angst vor der Mathematik Ernst genommen. Es fängt da an, wo die Angst beginnt, d. h. die angstbesetzten Themen werden zentral angegangen. Jede Doppelseite erklärt eine Formel, einen Term, einen Begriff, einen Baustein einer mathematischen Theorie o. ä. Ein besonderes graphisches Layout unterstützt dieses Lernkonzept. Das neue Buch von Albrecht Beutelspacher eignet sich für den Übergang zwischen Schule und Hochschule. Es gibt Studienanfängern das richtige Werkzeug in die Hand und führt sie auf behutsame und stets muntere Weise zu der Überzeugung: „In Mathe werd’ ich richtig gut!“
Mathe, die man wirklich braucht für Dummies (Für Dummies)
by Barry SchoenbornWir machen Sie fit für die kleinen Berechnungen des Alltags Ist die Großpackung Nudeln günstiger als die Single-Packung? Ist die Lebensversicherung bei Versicherer A rentabler als bei Versicherer B? Wie viele Eimer Farbe benötige ich für das neue Wohnzimmer? Wie werde ich meine Kreditkartenschulden am schnellsten wieder los? Mathe, die man wirklich braucht für Dummies konzentriert sich auf die Mathematik, die Sie im täglichen Leben tatsächlich benötigen: Statt um Kurvendiskussion und Polynomgleichungen geht es um das Rechnen beim Einkaufen und in der Küche sowie um die Umrechnung von Maßeinheiten, die Geometrie beim Teppichverlegen und die Berechnung von Kalorien, Benzinverbrauch, persönlichen Finanzen und vieles, vieles mehr.
Mathe für Eltern für Dummies (Für Dummies)
by Christoph HammerMathe macht Spaß! Gehören Sie auch zu denjenigen, die bei diesem Satz müde oder ungläubig lächeln? Bemitleiden Sie Ihre Kinder, weil sie Mathe lernen müssen? Besser ist es, wenn Sie gemeinsam Freude an der Mathematik entwickeln, denn Begeisterung steckt an. Dieses Buch bereitet wesentliche Themen aus den Lehrplänen der Klassen 5-10 für Sie verständlich auf: von Bruchrechnung über Variablen, Gleichungen und Funktionen bis hin zu Sachaufgaben. Zahlreiche Beispiele und Abbildungen vermitteln Vorstellungen von dem, was abstrakte Zeichen ausdrücken wollen. Ein spezielles Symbol erscheint immer dann im Buch, wenn es um typische Missverständnisse und Stolpersteine geht.
Mathe für Wirtschaftswissenschaftler: Mit einfachen Erklärungen stressfrei durchs Studium
by Teresa Marquardt Studybees GmbHDu studierst Wirtschaftswissenschaften? Dann gehört Mathematik zu deinem wichtigsten Handwerkszeug. Gerade in den ersten Semestern wirst du in deinem Studium als Grundlage für weitere Module die eine oder andere Mathevorlesung hören. Aber keine Angst, mit diesem Lehrbuch unterstützen wir dich dabei, einfach und verständlich deine Matheskills aufzufrischen und dich fit für deine Prüfung zu machen! Wir von Studybees haben in über 1.000 Crashkursen schon mehr als 20.000 Studierende bei ihrer Prüfungsvorbereitung unterstützt. Mit unserem Wissen, unserer Erfahrung und einer unserer besten Tutorinnen als Autorin begleiten wir dich und helfen dir dabei, ein tragfähiges mathematisches Fundament für deinen Erfolg im Wirtschaftsstudium aufzubauen.