Author: John J. SanGiovanni
Publisher: Corwin Press
ISBN: 1071861220
Category : Education
Languages : en
Pages : 233
Book Description
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?
Answers to Your Biggest Questions About Teaching Elementary Math
Author: John J. SanGiovanni
Publisher: Corwin Press
ISBN: 1071861220
Category : Education
Languages : en
Pages : 233
Book Description
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?
Publisher: Corwin Press
ISBN: 1071861220
Category : Education
Languages : en
Pages : 233
Book Description
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?
Knowing and Teaching Elementary Mathematics
Author: Liping Ma
Publisher: Routledge
ISBN: 1135149496
Category : Education
Languages : en
Pages : 290
Book Description
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
Publisher: Routledge
ISBN: 1135149496
Category : Education
Languages : en
Pages : 290
Book Description
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
Partnering With Parents in Elementary School Math
Author: Hilary Kreisberg
Publisher: Corwin Press
ISBN: 1071810871
Category : Education
Languages : en
Pages : 175
Book Description
How to build productive relationships in math education I wasn’t taught this way. I can’t help my child! These are common refrains from today’s parents and guardians, who are often overwhelmed, confused, worried, and frustrated about how to best support their children with what they see as the "new math." The problem has been compounded by the shift to more distance learning in response to a global pandemic. Partnering With Parents in Elementary School Math provides educators with long overdue guidance on how to productively partner and communicate with families about their children’s mathematics learning. It includes reproducible surveys, letters, and planning documents that can be used to improve the home-school relationship, which in turn helps students, parents, teachers, and education leaders alike. Readers will find guidance on how to: · Understand and empathize with what fuels parents’ anxieties and concerns · Align as a school and set parents’ expectations about what math instruction their children will experience and how it will help them · Communicate clearly and productively with parents about their students’ progress, strengths, and needs in math · Run informative and fun family events · support homework · Coach parents to portray a productive disposition about math in front of their children Educators, families, and students are best served when proactive, productive, and healthy relationships have been developed with each other and with the realities of today′s math education. This guide shows how these relationships can be built.
Publisher: Corwin Press
ISBN: 1071810871
Category : Education
Languages : en
Pages : 175
Book Description
How to build productive relationships in math education I wasn’t taught this way. I can’t help my child! These are common refrains from today’s parents and guardians, who are often overwhelmed, confused, worried, and frustrated about how to best support their children with what they see as the "new math." The problem has been compounded by the shift to more distance learning in response to a global pandemic. Partnering With Parents in Elementary School Math provides educators with long overdue guidance on how to productively partner and communicate with families about their children’s mathematics learning. It includes reproducible surveys, letters, and planning documents that can be used to improve the home-school relationship, which in turn helps students, parents, teachers, and education leaders alike. Readers will find guidance on how to: · Understand and empathize with what fuels parents’ anxieties and concerns · Align as a school and set parents’ expectations about what math instruction their children will experience and how it will help them · Communicate clearly and productively with parents about their students’ progress, strengths, and needs in math · Run informative and fun family events · support homework · Coach parents to portray a productive disposition about math in front of their children Educators, families, and students are best served when proactive, productive, and healthy relationships have been developed with each other and with the realities of today′s math education. This guide shows how these relationships can be built.
Teaching Elementary Mathematics to Struggling Learners
Author: Bradley S. Witzel
Publisher: Guilford Publications
ISBN: 1462523110
Category : Education
Languages : en
Pages : 193
Book Description
Packed with effective instructional strategies, this book explores why certain K-5 students struggle with math and provides a framework for helping these learners succeed. The authors present empirically validated practices for supporting students with disabilities and others experiencing difficulties in specific areas of math, including problem solving, early numeracy, whole-number operations, fractions, geometry, and algebra. Concrete examples, easy-to-implement lesson-planning ideas, and connections to state standards, in particular the Common Core standards, enhance the book's utility. Also provided is invaluable guidance on planning and delivering multi-tiered instruction and intervention.
Publisher: Guilford Publications
ISBN: 1462523110
Category : Education
Languages : en
Pages : 193
Book Description
Packed with effective instructional strategies, this book explores why certain K-5 students struggle with math and provides a framework for helping these learners succeed. The authors present empirically validated practices for supporting students with disabilities and others experiencing difficulties in specific areas of math, including problem solving, early numeracy, whole-number operations, fractions, geometry, and algebra. Concrete examples, easy-to-implement lesson-planning ideas, and connections to state standards, in particular the Common Core standards, enhance the book's utility. Also provided is invaluable guidance on planning and delivering multi-tiered instruction and intervention.
Elementary School Mathematics For Parents And Teachers - Volume 2
Author: Raz Kupferman
Publisher: World Scientific Publishing Company
ISBN: 9813108959
Category : Education
Languages : en
Pages : 302
Book Description
'The exposition is exceptionally clear, and keeps its audience in mind: in the end, this is ‘a book for adults on mathematics for children’. ‘Adults’ here includes parents as well as teachers; in the author’s words, ‘Every parent is automatically an educator!’ There is considerable merit in including parents in the elementary mathematics conversation; it is a pleasure to see books like Kupferman’s that explain elementary math to adults. If our students, in their future role as teachers, can enlist parents as allies, everyone will benefit. These books are one good way to begin addressing that challenge.'MAA ReviewsThis book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.Volume 2 focuses on content taught in the higher grades of elementary school. It covers the following topics: multiplication and division of multi-digit numbers, divisibility and primality, divisibility signs, sequences, fractions and their representations, and fraction arithmetic.The author is also a co-founder of Matific, an adaptive game-based teaching and learning tool for primary school mathematics. Independent studies have shown Matific to improve test scores, reduce maths anxiety, and increase motivation. Matific is available in 26 languages and aligned to mathematics curricula in 46 countries. Awards include Best Mathematics Instructional Solution, Best Game-Based Curriculum Solution and Best Educational App. For a trial, visit https://www.matific.com.
Publisher: World Scientific Publishing Company
ISBN: 9813108959
Category : Education
Languages : en
Pages : 302
Book Description
'The exposition is exceptionally clear, and keeps its audience in mind: in the end, this is ‘a book for adults on mathematics for children’. ‘Adults’ here includes parents as well as teachers; in the author’s words, ‘Every parent is automatically an educator!’ There is considerable merit in including parents in the elementary mathematics conversation; it is a pleasure to see books like Kupferman’s that explain elementary math to adults. If our students, in their future role as teachers, can enlist parents as allies, everyone will benefit. These books are one good way to begin addressing that challenge.'MAA ReviewsThis book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.Volume 2 focuses on content taught in the higher grades of elementary school. It covers the following topics: multiplication and division of multi-digit numbers, divisibility and primality, divisibility signs, sequences, fractions and their representations, and fraction arithmetic.The author is also a co-founder of Matific, an adaptive game-based teaching and learning tool for primary school mathematics. Independent studies have shown Matific to improve test scores, reduce maths anxiety, and increase motivation. Matific is available in 26 languages and aligned to mathematics curricula in 46 countries. Awards include Best Mathematics Instructional Solution, Best Game-Based Curriculum Solution and Best Educational App. For a trial, visit https://www.matific.com.
Success from the Start
Author: Kathy Ernst
Publisher: Mitchell Beazley
ISBN: 9780873536783
Category : Mathematics
Languages : en
Pages : 269
Book Description
This book highlights how students learn math and the pedagogy behind it. Using vignettes based on real classroom discussions, the authors illustrate effective teaching practices to support math learning. Success from the Start: Your First Years Teaching Elementary Mathematics acts as a supportive and reassuring companion that you can return to throughout your journey as an elementary mathematics teacher. As a beginning elementary mathematics teacher you might already be asking yourself these questions: How can I differentiate my teaching to meet the diverse needs of my students? What assessments best advance student learning? How can students understand math if I do not show them different strategies and tell them about the underlying mathematical structures and properties? What advice do I give parents about how to support their children’s math learning?
Publisher: Mitchell Beazley
ISBN: 9780873536783
Category : Mathematics
Languages : en
Pages : 269
Book Description
This book highlights how students learn math and the pedagogy behind it. Using vignettes based on real classroom discussions, the authors illustrate effective teaching practices to support math learning. Success from the Start: Your First Years Teaching Elementary Mathematics acts as a supportive and reassuring companion that you can return to throughout your journey as an elementary mathematics teacher. As a beginning elementary mathematics teacher you might already be asking yourself these questions: How can I differentiate my teaching to meet the diverse needs of my students? What assessments best advance student learning? How can students understand math if I do not show them different strategies and tell them about the underlying mathematical structures and properties? What advice do I give parents about how to support their children’s math learning?
Mathematics Content for Elementary Teachers
Author: Douglas K. Brumbaugh
Publisher: Routledge
ISBN: 1135633797
Category : Education
Languages : en
Pages : 525
Book Description
THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.
Publisher: Routledge
ISBN: 1135633797
Category : Education
Languages : en
Pages : 525
Book Description
THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.
Common Mistakes in Teaching Elementary Math—And How to Avoid Them
Author: Fuchang Liu
Publisher: Routledge
ISBN: 1315511754
Category : Education
Languages : en
Pages : 236
Book Description
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.
Publisher: Routledge
ISBN: 1315511754
Category : Education
Languages : en
Pages : 236
Book Description
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.
Teaching Math at a Distance, Grades K-12
Author: Theresa Wills
Publisher: Corwin Press
ISBN: 1071837125
Category : Education
Languages : en
Pages : 194
Book Description
Make Rich Math Instruction Come to Life Online In an age when distance learning has become part of the "new normal," educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual worksheets. Using both personal experience and those of teachers in real K-12 online classrooms, distance learning mathematics veteran Theresa Wills translates all we know about research-based, equitable, rigorous face-to-face mathematics instruction into an online venue. This powerful guide equips math teachers to: Build students’ agency, identity, and strong math communities Promote mathematical thinking, collaboration, and discourse Incorporate rich mathematics tasks and assign meaningful homework and practice Facilitate engaging online math instruction using virtual manipulatives and other concrete learning tools Recognize and address equity and inclusion challenges associated with distance learning Assess mathematics learning from a distance With examples across the grades, links to tutorials and templates, and space to reflect and plan, Teaching Math at a Distance offers the support, clarity, and inspiration needed to guide teachers through teaching math remotely without sacrificing deep learning and academic growth.
Publisher: Corwin Press
ISBN: 1071837125
Category : Education
Languages : en
Pages : 194
Book Description
Make Rich Math Instruction Come to Life Online In an age when distance learning has become part of the "new normal," educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual worksheets. Using both personal experience and those of teachers in real K-12 online classrooms, distance learning mathematics veteran Theresa Wills translates all we know about research-based, equitable, rigorous face-to-face mathematics instruction into an online venue. This powerful guide equips math teachers to: Build students’ agency, identity, and strong math communities Promote mathematical thinking, collaboration, and discourse Incorporate rich mathematics tasks and assign meaningful homework and practice Facilitate engaging online math instruction using virtual manipulatives and other concrete learning tools Recognize and address equity and inclusion challenges associated with distance learning Assess mathematics learning from a distance With examples across the grades, links to tutorials and templates, and space to reflect and plan, Teaching Math at a Distance offers the support, clarity, and inspiration needed to guide teachers through teaching math remotely without sacrificing deep learning and academic growth.
Elementary and Middle School Mathematics: Pearson New International Edition
Author: John A. Van de Walle
Publisher:
ISBN: 9781292021072
Category : Mathematics
Languages : en
Pages : 592
Book Description
For Elementary Mathematics Methods or Middle School Mathematics Methods Covers preK-8 Written by leaders in the field, this best-selling book will guide teachers as they help all PreK-8 learners make sense of math by supporting their own mathematical understanding and cultivating effective planning and instruction. Elementary and Middle School Mathematics: Teaching Developmentally provides an unparalleled depth of ideas and discussion to help teachers develop a real understanding of the mathematics they will teach and the most effective methods of teaching the various mathematics topics. This text reflects the NCTM and Common Core State Standards and the benefits of problem-based mathematics instruction.
Publisher:
ISBN: 9781292021072
Category : Mathematics
Languages : en
Pages : 592
Book Description
For Elementary Mathematics Methods or Middle School Mathematics Methods Covers preK-8 Written by leaders in the field, this best-selling book will guide teachers as they help all PreK-8 learners make sense of math by supporting their own mathematical understanding and cultivating effective planning and instruction. Elementary and Middle School Mathematics: Teaching Developmentally provides an unparalleled depth of ideas and discussion to help teachers develop a real understanding of the mathematics they will teach and the most effective methods of teaching the various mathematics topics. This text reflects the NCTM and Common Core State Standards and the benefits of problem-based mathematics instruction.