Making Sense of Division

Making Sense of Division

In this book, not only will students learn about division (the inverse of multiplication), but they will also learn how an understanding of division leads to an understanding of concepts such as fractions and decimals.Making Sense of ...

Author: Randy Palisoc

Publisher: CreateSpace

ISBN: 1514649098

Category:

Page: 50

View: 445

The previous book, 10 Powerful Steps to Multiplication Fluency, explained that multiplication fluency matters because: 1. multiplication is the doorway to algebra, and in turn, 2. algebra is the doorway to higher level math, the sciences, and college and career readiness. Furthermore, the previous book explained that a wide spectrum of skills, including fractions and decimals, are all needed for algebra and that all these skills depend on multiplication. Multiplication unlocks the door to mathematical understanding. If multiplication unlocks to the door to these essential concepts, then division opens that door even wider. In this book, not only will students learn about division (the inverse of multiplication), but they will also learn how an understanding of division leads to an understanding of concepts such as fractions and decimals. Making Sense of Division builds both fluency and conceptual understanding of division, giving students the confidence and skills they need to take learning to the next level.
Categories:

Making Sense of Numbers and Math

Making Sense of Numbers and Math

results, and having a visual perspective makes all of math so much easier. ... Division: Division probably induces more anxiety among children, as it looks complicated and can be at times. ... I hope the basics at least make sense.

Author: Dr. Cary N. Schneider

Publisher: AuthorHouse

ISBN: 9781504922876

Category: Education

Page: 118

View: 397

With his years of study, Dr. Cary Schneider has had lifelong exposure to and proficiency in numbers and math. He presents his practical, down-to-earth approach to think about numbers and math. It is designed as a guide for parents to help their children achieve a solid foundation for understanding numbers and math. The books role is not to replace but to supplement the education their children receive at school. It gives the early preschool child some basic information and perspectives so structured education will be more productive. It may also give teachers a unique perspective that they might incorporate into their numbers and math education. The readers and their children will learn the authors philosophy and principles to improve their perspectives and knowledge and see how numbers and math really do make sense.
Categories: Education

Making Sense of Affirmative Action

Making Sense of Affirmative Action

For, unlike the moral division of responsibility claim, the fair share of mitigation claim is compatible with the first premise of that argument, ... consistent with a division of moral responsibility. 70 Making Sense of Affirmative Action.

Author: Kasper Lippert-Rasmussen

Publisher: Oxford University Press

ISBN: 9780190648800

Category: Philosophy

Page: 288

View: 820

Kasper Lippert-Rasmussen here poses the question: "Is affirmative action morally (un)justifiable?" As a phrase that frequently surfaces in major headlines, affirmative action is a highly controversial and far-reaching issue, yet most of the recent scholarly literature surrounding the topic tends to focus on defending one side or another in a particular case of affirmative action. Lippert-Rasmussen instead takes a wide-angle view, addressing each of the prevailing contemporary arguments for and against affirmative action. In his introduction, he proposes an amended definition of affirmative action and considers what forms, from quotas to outreach strategies, may fall under this revised definition. He then analyzes the strengths and weaknesses of each position, relative to each other, and applies recent discussions in political philosophy to assess if and how each argument might justify different conclusions given different cases or philosophical frameworks. Each chapter investigates an argument for or against affirmative action. The six arguments for it consist of compensation, anti-discrimination, equality of opportunity, role model, diversity, and integration. The five arguments against it are reverse discrimination, stigma, mismatch, publicity, and merit. Lippert-Rasmussen also expands the discussion to include affirmative action for groups beyond the prototypical examples of African Americans and women, and to consider health and minority languages as possible criteria for inclusion in affirmative action initiatives. Based on the comparative strength of anti-discrimination and equality of opportunity arguments, Making Sense of Affirmative Action ultimately makes a case in favor of affirmative action; however, its originality lies in Lippert-Rasmussen's careful exploration of moral justifiability as a contextual evaluative measure and his insistence that complexity and a comparative focus are inherent to this important issue.
Categories: Philosophy

Making Sense of Messages

Making Sense of Messages

At its most basic level, that's what rhetoric is about. The ambiguity of identification and division in much of our talk invites clear thinking message analysts to understand and explain how people make sense of their life experience.

Author: Mark Stoner

Publisher: Routledge

ISBN: 9781317351047

Category: Language Arts & Disciplines

Page: 368

View: 116

Using a developmental approach to the process of criticism, Making Sense of Messages serves as an introduction to rhetorical criticism for communication majors. The text employs models of criticism to offer pointed and reflective commentary on the thinking process used to apply theory to a message. This developmental/apprenticeship approach helps students understand the thinking process behind critical analysis and aids in critical writing.
Categories: Language Arts & Disciplines

Making Number Talks Matter

Making Number Talks Matter

In this chapter, we discuss ways that students can make sense of division, divide integers and rational numbers efficiently, and make reasonable estimates in division. Chapter 8: Making Sense of Fractions (and Decimals and Percent) Many ...

Author: Cathy Humphreys

Publisher: Stenhouse Publishers

ISBN: 9781571109989

Category: Education

Page: 200

View: 990

Making Number Talks Matter is about the myriad decisions facing teachers as they make this fifteen-minute daily routine a vibrant and vital part of their mathematics instruction. Throughout the book, Cathy Humphreys and Ruth Parker offer practical ideas for using Number Talks to help students learn to reason numerically and build a solid foundation for the study of mathematics. This book will be an invaluable resource whether you are already using Number Talks or not; whether you are an elementary, middle school, high school, or college teacher; or even if you are a parent wanting to support your child with mathematics. Using insight gained from many years of doing Number Talks with students of all ages, Cathy and Ruth address questions to ask during Number Talks, teacher moves that turn the thinking over to students, the mathematics behind the various strategies, and ways to overcome bumps in the road. If you've been looking for ways to transform your mathematics classroom--to bring sense-making and divergent thinking to the foreground, to bring the Standards for Mathematical Practice to life, and to bring joy back into your instruction--this book is for you.
Categories: Education

Understanding Mathematics in the Lower Primary Years

Understanding Mathematics in the Lower Primary Years

... J. ( 1995 ) Making sense of symbols . In ) . Anghileri ( ed . ) Children's Mathematical Thinking in the Primary Years , Cassell , London , pp . 74-91 . ( Anghileri considers the meaning of multiplication and division and methods of ...

Author: Derek Haylock

Publisher: SAGE

ISBN: 0761941045

Category: Education

Page: 238

View: 958

New Edition of Best Seller! This is a fully revised and updated edition of the authors' successful and much-used book and was written for those who wish to have a clearer understanding of the mathematical ideas behind the material they use in the classroom.
Categories: Education

Making Sense of Diversity in Organizing Sport

Making Sense of Diversity in Organizing Sport

Sense making in sport is influenced by developments in other sectors of society such as in family life, the labor market and education, ... The teams that comprise the top division are the best in a specific age and gender category.

Author: Annelies Knoppers

Publisher: Meyer & Meyer Verlag

ISBN: 9781841262031

Category: Sports & Recreation

Page: 119

View: 862

This superb volume aims to incorporate cutting-edge research designed to transcend the barriers between business and sport. It explores the ways in which diversity can be suppressed by dominant forces.It focuses on the organizational consequences of making sense and assigning meanings to diversity in sporting organizations, paying particular attention to the different approaches used in Europe and America. It concludes with a discussion on their various successes and the ways in which these approaches can be combined to produced a coherent strategy for dealing with diversity in sporting organizations.
Categories: Sports & Recreation

Fostering Children s Mathematical Power

Fostering Children s Mathematical Power

“Moreover, I tried to make the lesson interesting by putting it in the context of a game. ... As with division by a fraction, the measure-out model provides one useful analogy for making sense of division by a decimal (see, e.g., ...

Author: Arthur Baroody

Publisher: Routledge

ISBN: 9781135674045

Category: Education

Page: 612

View: 557

First published in 1998. Routledge is an imprint of Taylor & Francis, an informa company.
Categories: Education

Helping Children Learn Mathematics

Helping Children Learn Mathematics

... 327 Compatible numbers Flexible rounding 327 Clustering 331 Choosing estimation strategies Making connections 334 ... 366 Division with two-digit divisors 368 Making sense of division with remainders 369 Finding the balance between ...

Author: Robert Reys

Publisher: John Wiley & Sons

ISBN: 9780730369288

Category: Education

Page: 744

View: 901

The third edition of Reys’ Helping Children Learn Mathematics is a practical resource for undergraduate students of primary school teaching. Rich in ideas, tools and stimulation for lessons during teaching rounds or in the classroom, this edition continues to provide a clear understanding of how to navigate the Australian Curriculum, with detailed coverage on how to effectively use Information and Communications Technology (ICT) in the classroom. This is a full colour printed textbook with an interactive eBook code included. Great self-study features include: auto-graded in-situ knowledge check questions, video of teachers demonstrating how different maths topics can be taught in the classroom and animated, branched chain scenarios are in the e-text.
Categories: Education

Making Sense of Mathematics for Teaching Grades 3 5

Making Sense of Mathematics for Teaching  Grades 3 5

Develop a deep understanding of mathematics.

Author: Juli K. Dixon

Publisher: Solution Tree Press

ISBN: 9781942496434

Category: Education

Page: 200

View: 298

Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals
Categories: Education

Making Sense of Cities

Making Sense of Cities

Table 5.3 makes explicit ... (Bruegel 2000, 87) Spatial division of labour The human geographer Doreen Massey (1984) suggests that there is a further form of labour market segmentation, which she calls the 'spatial division of labour'.

Author: Blair Badcock

Publisher: Routledge

ISBN: 9781134633432

Category: Science

Page: 288

View: 669

In 2000, for the first time, a majority of the world's population was living in cities. The trend towards increasing urbanization shows no sign of slowing and the third millennium looks set to be an unprecedentedly urban one. 'Making Sense of Cities' provides an up-to-date, vibrant and accessible introduction to urban geography. It offers students a sense of the patterns and processess of urbanization and the spatial organisation of cities, recognizing the significance of globalization, economics, politics and culture from a range of perspectives. Above all, it seeks to provide a relevant approach, inviting students to engage with competing theories of the urban and to assess them against the background of their own opinions and personal experience. Examples and case studies are drawn from a range of international settings, from San Francisco to Shanghai, Sydney to Singapore, giving a genuinely global coverage. The book is written in a fresh and engaging stlye, and is fully illustrated throughout. It is designed to appeal to any student of the urban and will be essential to students of geography, urban studies, town planning and land economy.
Categories: Science

Making Sense of Race in Education

Making Sense of Race in Education

supporting students in “speaking race” while also bridging the theory and practice divide. ... CENTER FOR BLACK STUDIES DIVISION OF ACADEMIC AFFAIRS FOR NORTHERN ILLINOIS UNIVERSITY “Making Sense of Race in Education is a true testament ...

Author: Jessica A. Heybach

Publisher: Stylus Publishing, LLC

ISBN: 9781975501914

Category: Education

Page: 250

View: 377

Making Sense of Race in Education: Practices for Change in Difficult Times takes a fresh look at the perennial issue of race in American schools. How do educators, in all settings, confront the issue of race with students and colleagues, given the contemporary backdrop of social movements for racial justice and change? How do educators affect change within their everyday classroom practices without fostering further alienation and discord? Although much has already been written about race and racism in school, this book addresses racial incidents directly and offers practical insights into how P-20 educators can transform these events alongside students and colleagues. Each chapter provides detailed analysis of curriculum, instruction, practices and pedagogical strategies for addressing race while at the same time wrestling with theoretical conceptions of race, justice, and fairness.
Categories: Education

Enriching Your Math Curriculum

Enriching Your Math Curriculum

Students can choose from the following facts to solve each problem depending on their thinking: 3×6 = 18 6×3 = 18 18 ÷ 6 = 3 18 ÷ 3 = 6 If partitive division is used exclusively, students will have difficulty making sense of the ...

Author: Lainie Schuster

Publisher: Math Solutions

ISBN: 9781935099024

Category: Education

Page: 441

View: 169

"Presents practices and routines designed to support and nourish teachers as they prepare and present a meaningful year of mathematics instruction for fifth-grade mathematicians. Offers activities, lessons, and narration that can be easily adapted or adjusted to fit the particular needs of the students or the requirements of a prescribed curriculum"--
Categories: Education

Lessons for Introducing Division

Lessons for Introducing Division

This conversation indicated some students were increasing their understanding of division and were making sense of how division connects to other operations. Brenna, Seth, and others were applying this knowledge to check division.

Author: Maryann Wickett

Publisher: Math Solutions

ISBN: 9780941355421

Category: Education

Page: 195

View: 862

Support mathematical understanding in your instructional program through this rich collection of easy-to-use teaching resources. Each book focuses on a specific arithmetic topic and offers a series of classroom-tested lessons addressing the three important aspects of arithmetic instruction--computation, number sense, and problem solving. The lessons include step-by-step directions, amount of time needed, materials required, classroom vignettes, samples of student work, reproducibles, and a discussion of the math underlying the lesson.
Categories: Education

The Common Core Mathematics Companion The Standards Decoded Grades 3 5

The Common Core Mathematics Companion  The Standards Decoded  Grades 3 5

For example, create a story context for 4 ÷ relationship between multiplication 15, and and use a division visual ... The procedure for multiplying fractions is developed by making sense of what multiplication of fractions means rather ...

Author: Linda M. Gojak

Publisher: Corwin Press

ISBN: 9781483381596

Category: Education

Page: 320

View: 805

This book is modeled after Jim Burke’s successful Common Core Companion Series. It is the second of two books (K-2, 3-5) in the series. The book will include a clear explanation of the mathematics within each domain, cluster, and standard and suggested grade level appropriate visual models and representations. It is a book for math teachers who may or may not be math specialists. As teachers plan and develop their curriculum, this book will help them determine important mathematics in a cluster and how that mathematics connects from one grade to the next as well as within a grade.
Categories: Education

Making Sense of Business Reference

Making Sense of Business Reference

Q: i need the 2007 and 2008 eBitDa for newscorp's filmed entertainment division. the virtual reference patron who inquired was not part of my university community and had access only to free resources. a: this question seems like it ...

Author: Celia Ross

Publisher: American Library Association

ISBN: 9780838910849

Category: Language Arts & Disciplines

Page: 186

View: 778

Celia Ross explains how to provide quality reference help on issues from marketing to finance - for business people, students, and even business faculty.
Categories: Language Arts & Disciplines

Making Sense of Genes

Making Sense of Genes

These are the proto-oncogenes that generally promote cell division and the tumor suppressor genes that ... thus also enhancing cell division (see Varmus, 2006). 7 As this article caused some debate, it must be I48 MAKING SENSE OF GENES.

Author: Kostas Kampourakis

Publisher: Cambridge University Press

ISBN: 9781107128132

Category: Medical

Page: 307

View: 613

An accessible but rigorous introduction to genes for non-experts, explaining what genes are and what they can and cannot do.
Categories: Medical

Making Sense of Management

Making Sense of Management

The metaphor does not endorse the idea of management asjust one, technical element in a specialized division of labour. Rather, it highlights the social division of the 'handlers' (from the 'horses' who supply the labour) and the ...

Author: Mats Alvesson

Publisher: SAGE

ISBN: 9781849200851

Category: Business & Economics

Page: 320

View: 238

The First Edition of Making Sense of Management set out to provide a fresh perspective on management that was both broad and critical, exploring how the disruptive and constructive potential of critical theory can be realized in organizations. Along the way, it has proven to be a landmark contribution to critical management studies. As well as setting the agenda for current research, this revised edition has been written to appeal to a broader readership and open up critical theory for the general management student. The Second Edition includes new sections on HRM, brands, identity, ethics and leadership have been fully developed alongside the rest of the text to reflect the current state of play in critical management studies.
Categories: Business & Economics

The Handbook of Large Group Methods

The Handbook of Large Group Methods

When they were returned to the data-management team, the data collected could be easily categorized by division, ... In preparation for the Making Sense sessions, each division received a sizeable packet of their summarized ideas in ...

Author: Barbara Benedict Bunker

Publisher: John Wiley & Sons

ISBN: 9781118429587

Category: Business & Economics

Page: 480

View: 170

Large Group Interventions are methods used to gather a whole system together to discuss and take action on the target agenda. That agenda varies from future plans, products, and services, to redesigning work, to discussion of troubling issues and problems. The Handbook of Large Group Methods takes the next step in demonstrating through a series of cases how Large Group Methods are currently being used to address twenty-first-century challenges in organizations and communities today, including: Working with widely dispersed organizations, and the problem of involvement and participation Working with organizations facing a serious business crisis Working with organizations in polarized and politicized environments Working in community settings with diverse interest groups Working at the global level and adapting these methods for cross-cultural use Embedding and sustaining new patterns of working together in organizations and communities
Categories: Business & Economics

Using Research to Inform Practice

Using Research to Inform Practice

The purpose of this paper is to share the strategies that children invented to solve problems involving division of fractions in the absence of algorithmic instruction.

Author: Sylvia Bulgar

Publisher:

ISBN: OCLC:1064077654

Category:

Page: 8

View: 928

The purpose of this paper is to share the strategies that children invented to solve problems involving division of fractions in the absence of algorithmic instruction. The data come from two sources, the first being a teaching experiment and the second being the regular classroom practice of this teacher/researcher. It was found that when the conditions of the teaching experiment were replicated, the three methods that students constructed to solve the identical problems involving division of fractions were the same as those seen in the original group. The three methods involved reasoning concerning natural numbers, measurement and fraction knowledge, all of which relate to counting. (Contains 5 footnotes.) [For complete proceedings, see ED500859.].
Categories: