Making Sense of Number

A concise introduction to personal and professional numeracy skills, helping readers to become more mathematically competent.

Making Sense of Number

A concise introduction to personal and professional numeracy skills, helping readers to become more mathematically competent.

Making Sense of Number K 10

This practical book shows you how to get to know the needs and abilities of your students and help them make sense of math concepts.

Making Sense of Number  K   10

This practical book shows you how to get to know the needs and abilities of your students and help them make sense of math concepts. Designed to enhance your professional learning, the book shows you how to notice, interpret, confirm, and respond to student thinking. You will discover how to structure learning experiences around key number concepts — quantity, counting, relating, and representing — developed across various strands: patterning and algebra, numbers and operations, measurement, geometry, and data and probability. Powerful examples of questions and prompts guide you to create a classroom where students get the support they need as they develop confidence in their number sense.

It Makes Sense

The classroom-tested routines, games, and problem-solving lessons in this book use ten-frames to develop students' natural strategies for adding numbers and fit into any set of state standards or curriculum"--Provided by publisher.

It Makes Sense

"Ten-frames are a model to help students efficiently gain and develop an understanding of addition and subtraction. The classroom-tested routines, games, and problem-solving lessons in this book use ten-frames to develop students' natural strategies for adding numbers and fit into any set of state standards or curriculum"--Provided by publisher.

Making Sense of Number

In addition to improved engagement, positive attitudes have a positive influence on students' achievement in mathematics, which makes it imperative for teachers to find ways to enhance their students' attitudes and engagement (Barkatsas ...

Making Sense of Number

Making Sense of Number is a concise introduction to personal and professional numeracy skills, helping readers to become more mathematically competent. It includes relevant content to assist pre-service teachers to improve numeracy for the classroom or to prepare for LANTITE, as well as support for practising teachers to develop their understanding and skills in numeracy. Making Sense of Number focuses on number sense as a conceptual framework for understanding mathematics, covering foundational areas of mathematics that often cause concern such as multiplication, fractions, ratio, rate and scale. The authors use real-world examples to explain mathematical concepts in an accessible and engaging way. Written by authors with over 30 years' experience teaching mathematics at primary, secondary and tertiary levels, Making Sense of Number is an essential guide for both pre-service teachers and those looking to improve their understanding of numeracy.

It Makes Sense

"16 introductory ideas, 10 lessons, and 14 games." -- cover.

It Makes Sense

The more than 40 lessons and games in It Makes Sense! Using Number Paths and Number Lines to Build Number Sense promote the flexible use of number paths and number lines to solve problems and scaffold or document students' thinking. In this powerful resource you'll find: strategies for differentiating instruction; Key Questions to invite student thinking; A Child's Mind insights sharing common student misconceptions; Math Matters! tips highlighting important math concepts; and research summaries, learning scenarios, and teacher reflections. Ideal for use in math workshop and beyond, the lessons and games include more than 30 reproducibles, also available in a downloadable format.,

It Makes Sense

The step-by-step lessons in It Makes Sense!

It Makes Sense

"Ten-frames are a model to help students efficiently gain and develop an understanding of addition and subtraction. The classroom-tested routines, games, and problem-solving lessons in this book use ten-frames to develop students' natural strategies for adding numbers and fit into any set of state standards or curriculum"--Provided by publisher.

Making Sense

This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.

Making Sense

This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.

Billions Trillions Quadrillions

Billions, Trillions, Quadrillions helps readers understand large numbers by relating them to everyday situations.

Billions  Trillions  Quadrillions

Billions, Trillions, Quadrillions helps readers understand large numbers by relating them to everyday situations. It's hard to imagine what a crowd of one billion people would look like--but if one billion children stood on each other's shoulders, they would reach past the moon! Simple explanations, accompanied by amusing infographics, help readers to visualize large numbers and get a handle on math. So take a journey through the world of numbers--from zero to infinity--and find out how we use numbers and how math shapes our world.

Making Sense of Math

A new approach to difficult topics by making maths real

Making Sense of Math

Making Sense of Maths is the only series that develops conceptual understanding. This series will motivate, engage and develop the conceptual understanding of students at KS3 and KS4. Students build their own problem solving strategies based on their understanding of the world around them which then support them to tackle functional questions. The Student's Book, used in conjunction with the workbook and teachers' book, provides engaging activities that support students in developing a true understanding of number operations, conversions, negative numbers, primes & indices. Making Sense of Maths has been based on Realistic Maths Education (RME) and extensively trialled in KS3 and KS4 classrooms in the UK by a team from Manchester Metropolitan University. - Use alongside existing resources or on its own - Ideal for Year 10s heading for the C/D borderline - Ideal for intervention groups - Supports the move from modular to linear specifications by improving knowledge retention - Provides support for good teaching and learning under the current Ofsted criteria

Number Sense Routines

Chapter 5 Playing with Quantities: Making Sense of Numbers and Relationships Name of the Routine Helps with . . . How It Works Ways to Use the Routine and Questioning Strategies Ten Wand (page 81) • Combinations of ten • Commutative ...

Number Sense Routines

Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. --from publisher description

Making Sense of Mathematics for Teaching Grades 6 8

Develop a deep understanding of mathematics.

Making Sense of Mathematics for Teaching Grades 6 8

Develop a deep understanding of mathematics. This user-friendly resource presents grades 6–8 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Make connections between elementary fraction-based content to fraction operations taught in the middle grades. 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 grow as both learners and teachers of mathematics. Gain clarity about the most productive progression of mathematical teaching and learning for grades 6–8. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Fraction Operations and Integer Concepts and Operations 2 Ratios and Proportional Relationships 3 Equations, Expressions, and Inequalities 4 Functions 5 Measurement and Geometry 6 Statistics and Probability Epilogue: Next Steps References and Resources Index

Teaching Number Sense

CHAPTER 1 Making Sense of Numbers Every teacher can sympathize with the frustration felt by a child who cannot solve apparently straightforward and simple arithmetic problems . As soon as symbols are introduced there are children who ...

Teaching Number Sense

A specialist text that uses a balance of theory and practice to help teachers deal with the problems and issues they will encounter in teaching mathematics. It includes examples for use in the classroom, and addresses the issue of how to teach most effectively in light of curriculum changes.

Making Sense of Statistics

With some data, only whole numbers make sense. Imagine a country where the mean number of offspring people have is 2.7. Any particular person might have 2 children or 3, but 2.7 children is obviously impossible.

Making Sense of Statistics

Making Sense of Statistics provides a thorough, but accessible, introduction to statistics and probability, without the distractions of mathematics. The book does not require you to use any algebraic formulae or equations, but it does explain how and why methods work, and exactly what answers mean. Guidance is provided on how to design investigations, analyze data and interpret results. There are exercises and case studies from a variety of areas of application, and an accompanying website from which interactive spreadsheet models and data files can be downloaded.

Teaching Number Sense Grade 1

decomposing numbers (continued) into 5s and 10s with bead boards, 87–92 target number, activity for decomposing, 45–51 ten, lesson on decomposing number, 52–60 Ways to Make problems, 53, 54 designs, lesson for making pattern block, ...

Teaching Number Sense  Grade 1

The teaching number sense series focuses on the critical role that number sense plays in students' developing mathematical understanding. Number sense encompasses a wide range of abilities, including being able to make reasonable estimates and to think and reason flexibly.

Teaching Number Sense Kindergarten

Children look for “landmark numbers” to make sure of where they are, just as last week I looked at the mountains around El Paso, Texas, to keep track of where I was. The landmark numbers that kindergartners often use are five and ten.

Teaching Number Sense  Kindergarten

The teaching number sense series focuses on the critical role that number sense plays in students' developing mathematical understanding. Number sense encompasses a wide range of abilities, including being able to make reasonable estimates and to think and reason flexibly.

Clothesline Math The Master Number Sense Maker

Greater Depth of Knowledge (DOK) Levels—Students are being asked to think and make sense of the mathematics rather ... Rather than writing on blank cards and cluttering the number line, the clothespins clearly show the unit fractions ...

Clothesline Math  The Master Number Sense Maker

This must-have resource provides the theoretical groundwork for teaching number sense. Authored by Chris Shore, this e-book empowers teachers with the pedagogy, lessons, and detailed instructions to help them implement Clothesline Math in K-12 classrooms. Detailed, useful tips for facilitating the ensuing mathematical discourse are also included. At the elementary level, the hands-on lessons cover important math topics including whole numbers, place value, fractions, order of operations, algebraic reasoning, variables, and more. Implement Clothesline Math at the secondary level and provide students with hands-on learning and activities that teach advanced math topics including geometry, algebra, statistics, trigonometry, and pre-calculus. Aligned to state and national standards, this helpful resource will get students excited about learning math as they engage in meaningful discourse.

Developing Number Sense Grades 3 6

Understanding what numbers mean as quantities, in context, and in relation to other numbers are all important aspects of number sense. In fact, one cannot make sense of numbers without attaching meaning to them.

Developing Number Sense  Grades 3 6

Imaginative lessons give students practice with mental computation, basic operations, navigating the number system, and estimation. Content is crafted to show that number sense is not a specific skill, but encompasses a student’s ability to think and reason flexibly and make sound numerical judgments.

Making Mathematics Meaningful for Students in the Intermediate Grades

Developing Number Sense Whole Numbers, Fractions, Decimals, Percent, Integers The Importance of Number Sense Number sense is a key aspect of sense making for ongoing and future learning of mathematics. In the intermediate grades number ...

Making Mathematics Meaningful for Students in the Intermediate Grades

Making Mathematics Meaningful For Students in the Intermediate Grades is an invaluable resource for anyone interested in helping students reach the key learning outcomes of any mathematics curriculum. Developed through live and videotaped classroom observation and through diagnostic and achievement interviews with students, Making Mathematics Meaningful is a research-based guide to mathematics education that eschews outdated models based primarily and memorization and repetition in favor of a more holistic approach that encourages students to develop their mathematical reasoning skills through problem solving. This approach not only teaches students to become critical thinkers, but also contributes to language development, reading comprehension, and evaluative skills. Author Werner W. Liedtke offers advice on developing questioning strategies and creating practice tasks to ensure that students encounter the critical components of a mathematics program. For each topic, he provides assessment strategies and identifies key prerequisite skills and ideas that can be used for pre-tests, diagnostic purposes, or introductory teaching/learning settings. Making Mathematics Meaningful teaches students to * improve written and oral communication; * connect ideas to previous learning and to settings outside the classroom; * discover strategies for personal estimation and mental mathematics; * learn through problem solving; * develop curiosity, perseverance, and confidence.

Making Sense of Business Reference

Q: i would like to ask you a question about market capitalization. i looked up this term in investorwords.com and got the definition, but it did not say how to evaluate one company's market cap versus another. is a bigger number always ...

Making Sense of Business Reference

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

Making Sense of Mathematics for Teaching Grades 3 5

Develop a deep understanding of mathematics.

Making Sense of Mathematics for Teaching  Grades 3 5

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