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Bringing Project-Based Learning to Life in Mathematics, K-12 [Mīkstie vāki]

  • Formāts: Paperback / softback, 328 pages, height x width: 254x177 mm, weight: 620 g
  • Sērija : Corwin Mathematics Series
  • Izdošanas datums: 26-Jun-2023
  • Izdevniecība: Corwin Press Inc
  • ISBN-10: 1071880721
  • ISBN-13: 9781071880722
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  • Mīkstie vāki
  • Cena: 39,10 €
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  • Formāts: Paperback / softback, 328 pages, height x width: 254x177 mm, weight: 620 g
  • Sērija : Corwin Mathematics Series
  • Izdošanas datums: 26-Jun-2023
  • Izdevniecība: Corwin Press Inc
  • ISBN-10: 1071880721
  • ISBN-13: 9781071880722
Citas grāmatas par šo tēmu:
"This book addresses the renewed focus in mathematics education for students to embrace the role of a mathematician and experience mathematics in authentic situations. This chapter also highlights attributes of the ideal mathematics classroom and the relationship to the PBL Mathematics classroom. A discussion of the intersection between equity-based mathematics teaching practices and PBL equity levers is highlighted. This book discusses the characteristics of a problem-solving task, a performance task, and a project as well as the ways these three teaching practices leverage equity-based mathematics teaching practices. What does it mean to be a mathematician? Who is a mathematician? These questions continue to be asked, challenged, and re-invented in ourmathematics community"--

Beyond problem-solving and performance tasks — level up to project-based learning!

Do you want your students to be more engaged in their mathematics lessons while also amplifying cultural relevancy and equity? If so, proceed to the next level of instruction with project-based learning (PBL)! This book provides the whole PBL game plan designed by an experienced, award-winning teacher and researcher. Whether you want to start with small steps or you are ready for full implementation in your classroom, project-based learning experiences can lead to forever memories and deeper learning for your students. Answering the why, what, and how of embarking on the journey toward PBL, readers will find

  • Need-to-Know questions to open each chapter
  • Student and educator vignettes to identify stumbling blocks and successes
  • PBL Plus Tips that identify those small steps teachers can make to gradually shift toward PBL
  • Your Turn prompts to actively connect ideas to your practice

This approachable guide includes everything you need to move from tasks to memorable project-based experiences that leverage student voice and choice and build a welcoming classroom culture!

Recenzijas

This book goes beyond being a primer of how to implement the ambitious and needed ideas of project-based learning (PBL) in any mathematics classroom. It is a book that enthusiastically embraces a wide scholarship of ideas while communicating them with a lightness and whimsy that inspires you to take the needed journey that is intimated in its title. The future of math education lies in imagining classrooms that are not only equitable in their design, but also equitable in their implementation. The best mathematical experiences lie in wait with PBL. This book must be considered the gold standard for creating those student and teacher experiences. -- Sunil Singh * Pickering, ON, Canada * With compelling stories and practical strategies, McHugh gives us a vision of mathematics education that empowers all learners to experience engaging, effective, and meaningful learning. In the scenarios that McHugh brings to life, students use math to tackle projects that matter to them. When guided by teachers who know how to support each learners journey, these projects deepen students understanding of rigorous content. More importantly, students build their confidence to use math as a tool for asking questions, seeking answers, and making contributions. -- Suzie Boss * Portland, OR * I have not seen and cannot imagine a more comprehensive book about project- based learning and math than this one. It feels like the time has finally come for new approaches to teaching math, and McHugh provides a detailed yet readable road map, based on her own practice and drawing from many expert sources. I love how she includes so many classroom-tested examples, stories, and practical tools. Her depth of experience and compassion for students shines through! -- John Larmer * Mill Valley, CA * I couldnt stop smiling while reading this book. McHugh shows how students can experience math in ways that not only are memorable and relatable, but spark curiosity as well. I cannot wait to implement what Ive learned from this book into my teaching practice. -- Howie Hua * Fresno, CA * From start to finish, McHugh offers a unique glimpse into mathematics classrooms in which all students see themselves as mathematiciansa place

in which they experience the joy, beauty, and wonder of mathematics. Her personal stories, abundance of examples and strategies, and clear guidance provide a detailed blueprint for the reimagined teaching and learning of mathematics. This book is a must-have for those who want to finally answer the question, "Why do I have to learn this?" -- Tammy Moynihan * Falls, WI * Most of my experiences as a math educator have been with problem-based learning, not project-based learning, because getting started felt daunting. This book helped me better understand the differences and gave an actionable plan to implement meaningful project-based lessons with students. Educators say we want students to be college and career ready, yet were using the same practices that we used decades ago. If you want your students to authentically use mathematics in their lives, this is the book for you. -- Robert Kaplinsky * Long Beach, CA * Through this book, McHugh makes project-based learning come to life in the mathematics classroom. The stories shared throughout the book from

both students and teachers perspectives help us see ourselves in this important work and show the thought process in creating PBL mathematics

experiences. The examples throughout help illustrate the key components in utilizing PBL to develop student understanding of mathematics. -- Kevin Dykema Bringing Project-Based Learning to Life in Mathematics will support mathematics teachers with creating learning environments where students see mathematics as relevant to their lives and where students have opportunities to answer questions that matter to them. McHughs book provides practical strategies to enact this approach to mathematics teaching. -- Amanda Jansen * Newark, DE * This book can help teachers plan and implement authentic experiences for students. With project-based learning, students are less likely to say, "When am I going to use this?," and instead receive individualized mathematics learning opportunities that are relevant and meaningful. -- Christine Koerner * Norman, OK * In Bringing Project-Based Learning to Life in Mathematics, McHugh articulates how project-based learning can transform the learning experience for students and the teaching experience for educators. Working with students and teachers around the world, I see how PBL can be a tool to empower students to be thinkers and problem solvers. Reading this book, a teacher learns why and how to implement PBL in their classroom. -- Chadd W. McGlone * Chapel Hill, NC * Has project-based learning sounded overwhelming to you in the past? In Bringing Project-Based Learning to Life in Mathematics, McHugh does a masterful job of describing the PBL process and providing clear and simple entry points to PBL that connect to your current strengths as a mathematics teacher. This detailed guide will be a staple on your desk as it provides you with opportunities to deepen your PBL practice and give students more rigorous, productive, and equitable learning opportunities that strengthen their identities as doers of mathematics. -- Michael D. Steele * Milwaukee, WI * With Bringing Project-Based Learning to Life in Mathematics, McHugh has composed a valuable addition to the growing number of PBL books! Developing math projects isnt always easy, but right out the gate, McHugh clarifies what it means to be a PBL mathematics educator by offering an honest reflection about her growth in space. The pages of this valuable book are laden with relatable stories and tangible tools and resources to take todays math classrooms into the authenticity that PBL offers. -- Jorge Valenzuela * Richmond, VA *

Acknowledgments xv
About the Author xvii
Introduction 1(9)
Becoming a Mathematics Student
1(1)
Becoming a Mathematics Teacher
1(1)
Becoming a PBL Mathematics Educator
2(2)
Who This Book Is For
4(1)
How to Engage in This Book
4(2)
Some Concepts to Note
6(2)
Concluding Thoughts
8(2)
SECTION I THE WHY
Chapter I Why Now?
10(21)
Why These Stories?
11(1)
Emphasis 1 The Need to Embrace the Role of Mathematician
12(9)
Embracing the Identity of Mathematician Through Mathematical Habits of Mind
13(6)
Activities to Get to Know Your Mathematicians
19(2)
Emphasis 2 The Need for Mathematics to Mean Something
21(2)
The Ideal Mathematics Classroom
23(1)
What Exactly Is Project-Based Learning?
24(2)
Addressing Hesitancies About PBL Mathematics
26(3)
So What? Now What?
29(1)
Concluding Thoughts
29(2)
Chapter 2 PBL Mathematics as Equitable, Engaging, and Effective
31(15)
Three Reasons for PBL Mathematics
35(9)
PBL Mathematics as an Equitable Teaching Practice
36(3)
PBL Mathematics as an Engaging Teaching Practice
39(3)
PBL Mathematics as an Effective Teaching Practice
42(2)
Concluding Thoughts
44(2)
Chapter 3 From Problem to Project
46(23)
From Task to Project
46(3)
When Problem-Solving Tasks Aren't Enough
49(1)
Alignment to Equity-Based Teaching Practices
50(4)
The Twofold Pressure of Ti IT16
54(2)
Weaving Tasks and Projects Together
56(2)
Turning Textbook Problems Into Problem-Solving Tasks, Performance Tasks, and Projects
58(7)
Problem-Solving Tasks
58(1)
Performance Tasks
59(3)
PBL Mathematics Experiences
62(3)
Concluding Thoughts
65(4)
SECTION II THE WHAT
Chapter 4 Rigorous Content
69(16)
Rigorous Content Defined
71(3)
Rigorous Content Illustrated in PBL
74(2)
Elementary School
74(1)
Middle School
75(1)
High School
75(1)
Making Moves to Increase Rigor in the PBL Mathematics Classroom
76(8)
Encourage Risk-Taking Through Creative Solutions
77(2)
Design Open-Ended Problem-Solving Tasks and Performance Tasks
79(2)
Connect Mathematical Habits of Mind With Authentic Situations
81(3)
Concluding Thoughts
84(1)
Chapter 5 Productive Inquiry
85(27)
Inquiry Defined
86(2)
Productive Inquiry Illustrated: Directed Inquiry Versus Productive Inquiry
88(1)
Directed Inquiry in a Mathematics Classroom
88(1)
Making Moves to Increase Productive Inquiry in Your Classroom
89(5)
Just-in-Time Learning
90(1)
Students as Critical Questioners
91(3)
Productive Inquiry in the PBL Mathematics Classroom
94(3)
Concluding Thoughts
97(2)
Identity and Agency
99(1)
Identity and Agency Defined
100(1)
Identity and Agency Illustrated
101(5)
Identity
101(2)
Agency
103(3)
Making Moves to Increase Identity and Agency
106(5)
Concluding Thoughts
111(1)
Chapter 7 Authentic Connections
112(14)
Authentic Connections Defined
113(4)
Realistic Versus Authentic
115(2)
Authentic Connections Illustrated
117(3)
From Authentic Task to Authentic Project
120(2)
Authentic Experts
122(2)
Concluding Thoughts
124(2)
Chapter 8 Meaningful Assessment
126(15)
Assessment in the Mathematics Classroom
127(1)
Meaningful Assessment Defined
128(2)
Meaningful Assessment Illustrated
130(6)
Productive Inquiry as Formative Assessment
131(1)
Student-Led Feedback as Assessment
132(2)
Summative Assessment Through a Culminating Experience Illustrated
134(2)
Essential Attributes Highlighted by Public Product
136(3)
Concluding Thoughts
139(2)
Chapter 9 Growth Through Reflection
141(15)
Growth Through Reflection Defined
142(1)
Growth Through Reflection Illustrated
143(2)
Reflection Leading to Critique and Revision
145(1)
Reflection Illustrated
146(5)
Reflection Examined
151(2)
Concluding Thoughts
153(3)
SEGTION III THE HOW
Chapter 10 Classroom Culture
156(17)
Establish a Classroom Culture
157(1)
Develop Community Agreements
158(3)
Honor Student Identity and Relationship to Mathematics
161(2)
Embrace Curiosity and Wonderment
163(2)
Act Like a Four-Year-Old--Question Everything!
163(1)
Follow the Curiosity Path
164(1)
Foster Flexibility
165(3)
Visibly Random Groups
165(1)
Beautiful Constraints
166(2)
Value Process Over Product
168(3)
Classroom Fridge
168(1)
My Favorite "Not Yet"
169(1)
Reward the Struggle
169(2)
Concluding Thoughts
171(2)
Chapter 11 Role of the PBL Mathematics Teacher
173(10)
Activator
174(2)
Questioner
176(1)
Manager
176(1)
Sage
177(1)
Lead Learner
178(4)
Concluding Thoughts
182(1)
Chapter 12 Find Inspiration
183(15)
Our Students as Inspiration
184(2)
Our World as Inspiration
186(5)
Our Everyday World as Inspiration
188(1)
Project Types as Inspiration
189(2)
Our Standards as Inspiration
191(5)
Readily Available Projects
194(2)
Concluding Thoughts
196(2)
Chapter 13 Launch
198(15)
The Launch
199(1)
Engaging Hook
200(2)
Driving Question
202(5)
Crafting a Driving Question
204(3)
Project Overview
207(1)
"Need to Knows"
207(4)
"Need to Knows" Sustain Inquiry
210(1)
ConcLuding Thoughts
211(2)
Chapter 14 Craft Milestones
213(18)
Milestones in PBL
214(1)
Focus On the What
215(2)
Create the How
217(2)
Scaffolding the How
219(6)
Example Milestone
225(5)
Concluding Thoughts
230(1)
Chapter 15 Manage
231(14)
Managing the Project
232(1)
Manager of Team Dynamics
232(7)
Practice Collaboration
233(2)
Use Roles
235(2)
Team Contracts
237(1)
Accountability Through Products
238(1)
Manager of Project Goals
239(5)
Benchmarking System
240(1)
Scrum Board
240(1)
Checklist
240(1)
Learning Logs
241(1)
Help Desk Ticket
242(2)
Concluding Thoughts
244(1)
Chapter 16 Assess
245(32)
Assessment in PBL Mathematics
246(5)
Rubric (Co-)Creation
247(2)
Assessments Tied to "Need to Know" Questions
249(2)
Formative Assessments as Evidence of Learning
251(3)
Summative Assessment: Public Products as Evidence of Learning
254(4)
Culminating Experience Ideas
258(1)
Concluding Thoughts
259(2)
Reflect
261(2)
Reflection Exploration
263(1)
What Are Students Reflecting On?
263(4)
How Are Students Reflecting?
267(3)
Growth Through Critique and Revision
270(1)
Critique
270(4)
Revision
274(2)
Concluding Thoughts
276(1)
Chapter 18 Design the Experience
277(13)
Brainstorm
278(1)
Map the Project
278(3)
Plan the Launch
281(1)
Driving Question
281(1)
Engaging Hook + Project Overview + "Need to Knows"
282(1)
Plan the Project Conclusion
283(2)
Map the Milestones From Launch to Conclusion
285(4)
Plan for Daily Lessons From Launch to Conclusion
289(1)
Concluding Thoughts 290(2)
Conclusion 292(1)
References 293(5)
Index 298
Maggie McHugh believes all students are creative, compassionate, intellectual learners who, when given the right educational conditions, grow to be insightful, engaged citizens in our society. For Maggie, Project-Based Learning (PBL) lays the foundation for every learner to find success. As the Innovation Specialist at La Crosse Polytechnic, a project based secondary school in La Crosse, WI, Maggie has the honor of exploring the world alongside her students, guiding classes such as STEM, Humanities, Makerspace, and Mathematics. Additionally, Maggie has the pleasure of serving as a National Faculty member for PBLWorks, traveling the United States to work with educators on implementing PBL in their classroom and district. To uplift the mathematics community, Maggie serves as the Wisconsin Mathematics Council Annual Conference Co-Chair. She is also a member of NCTMs Classroom Resource Committee. Maggie is the 2021 Midwest Regional winner of the National University Teacher Award and the Wisconsin Middle School Teacher of the Year for 2019. She received the state honors for the Presidential Award for Excellence in Mathematics and Science Teaching (PAEMST). Maggie has her National Board Certification in early adolescence mathematics. Maggies dedication to empowering all learners is fueled by her kiddos who daily remind her of the courage, compassion, and perseverance needed to continuously become a better you.