“Whether you are a new teacher or a seasoned educator, this book will enrich your abilities to develop your students' mathematical thinking.”
—From the Foreword by Linda Dacey, professor emerita, Mathematics, Lesley University
“One of the best ways to prepare students for their futures is to teach mathematical thinking. Marian Small shows us the way with powerful tasks, probing questions, and incredible student work samples. This is the book I have been looking for and is definitely a must-have for every teacher.”
—Ruth Harbin Miles, Mary Baldwin University
Book Features:Chapters organized around Common Core headings.Continued attention to big ideas in math.Many new questions that teachers can adapt or use as is. Teaching tips and task variations.A template to help users build new tasks. Guidance for using follow-up questions to create a rich math classroom.
“A must for an educator who is serious about reaching more students more often and achieving more positive results.”
—Resources for the Mathematics Educator(from previous edition)
“When I read Marian Small’s work, I see the power of math revealed, but I also see her work opening that power to so many students who might never otherwise experience it. . . . I am a disciple of her approach to differentiating math!”
—From the foreword by Carol Ann Tomlinson, William Clay Parrish Jr. Professor and Chair of Educational Leadership, Foundations, and Policy, University of Virginia
“Uncomplicating Fractions is a great resource that helps us understand how to teach and assess student learning of fractions. Marian Small truly ‘uncomplicates’ fractions by providing a resource that is practical and a must-have for all math coaches andevery K–7 teacher!”
—Ruth Harbin Miles, board of directors, National Council of Teachers of Mathematics, Mary Baldwin College instructor
“At all levels, this book advocates conceptual as well as procedural understandings such as why rational numbers must have repeating or terminating decimal representations. Every section has good questions to ask and grade-level summaries that provide excellent tools to help teachers recognize new ideas introduced at each grade level. I recommend this book for everyone teaching fractions.”
—Carol Findell, Professor Emeritus, Mathematics Education, Boston University
Marian Small is the former Dean of Education at the University of New Brunswick and longtime professor of mathematics education.
At her Dad’s death in 1978, Marian inherited his collection of memorabilia which dates back 100 years to the time of his enlistment in the Ohio National Guard in 1916. Included were historic photographs and the original letters that John had written to his parents and to his sweetheart, Mary, (later his wife) as well as a 1918 Diary that he took with him when he was sent over the sea to France. John kept the Diary with him on the many nights when he led his Platoon as they marched for miles in the dark, in rain and mud, to the various trenches in No Man’s Land. Even in the cootie and rat-filled trenches, with the sounds and dangers of the war going on all around him, he continued to write in the Diary and in his letters describing in detail the war as he was witnessing it.
This is a compelling human interest story that recognizes the valor of the doughboys in WWI. Those who returned to the country they loved faced many hardships, including the Great Depression. The war, however, had given them the will to survive and it was through them and their stubbornness, frugality, pride and a firm belief in disciplining their children that a generation was born that, in later years, after a second World War, became know as the greatest generation.
To help teachers differentiate math instruction with less difficulty and greater success, this resource:Underscores the rationale for differentiating secondary math instruction. Provides specific examples for secondary math content. Describes two easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter. Offers almost 300 questions and tasks that teachers and coaches can adopt immediately, adapt, or use as models to create their own, along with scaffolding and consolidating questions. Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions. Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels.
Praise for Marian Small’s first book on Differentiating Instruction:
“A groundbreaking effort by one of the most respected contributors in our field. Good Questions is a must for any educator who is serious about reaching more students more often and achieving more positive results.”
—Tim McNamara, national K–12 math consultant and professional developer
“Marian Small is at it again! For decades she has been able to assess what teachers need and provide them with mathematically sound, well-crafted instructional strategies that promote important mathematical foundations for all students.”
—Francis (Skip) Fennell, Past President, National Council of Teachers of Mathematics
“Planning math lessons for all students’ unique levels of understanding is a complex task, but this easy-to-use resource shows teachers how to meet varying developmental levels with a single lesson.”
—Carolyn Chapman, Creative Learning Connections, Inc., and Rita King, King Learning Associates, consultants
Marian Small is available for in-person and online professional development.
“Within the first few pages it quickly became apparent that, whether you are a new or veteran teacher, your knowledge and appreciation of and for primary mathematics will grow page by page.”
—From the Foreword by Graham Fletcher, math specialist, Atlanta, Georgia
“Marian Small describes the development of major aspects of children’s mathematical thinking and connects them to many interesting and useful classroom activities.”
—Herbert Ginsburg, professor emeritus, Teachers College, Columbia University
“I love this book! The ideas are invaluable and the attention to detail is amazing.”
—Nicki Newton, math consultant
The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical “doers.” This resource will be invaluable for pre- and inservice teachers as they prepare themselves to understand and teach algebra with a deep level of understanding.
“Uncomplicating Algebra is an excellent resource for teachers responsible for the mathematical education of K–8 students. It is also a valuable tool for the training of preservice teachers of elementary and middle school mathematics.”
—Carole Greenes, associate vice provost for STEM education, director of the Practice Research and Innovation in Mathematics Education (PRIME) Center, professor of mathematics education, Arizona State University
“The current climate in North America places a major emphasis on standards, including the Common Core State Standards for Mathematics in the U.S. In many cases, teachers are being asked to teach content with which they themselves struggle. In this book, Dr. Small masterfully breaks down the big ideas of algebraic thinking to assist teachers, math coaches, and preservice teachers—helping them to deepen their own understanding of the mathematics they teach. She describes common error patterns and examines algebraic reasoning from a developmental viewpoint, connecting the dots from kindergarten through grade 8. The book is clearly written, loaded with specific examples, and very timely. I recommend it strongly as a ‘must-read’ for all who are seeking to broaden their understanding of algebra and how to effectively teach this important content area to children.”
—Daniel J. Brahier, director, Science and Math Education in ACTION, professor of mathematics education, School of Teaching and Learning, Bowling Green State University
Math teachers can use this resource to help students develop a solid foundation for more proficient and more confident work with multiplicative thinking and proportionality. It will also help math coaches as they assist teachers in their transition to teaching mathematics within the more demanding framework of the CCSS. This book will also help preservice teachers and their instructors as they prepare themselves and their students to understand and teach math with a deep level of understanding.
“Once again, Marian Small has created an outstanding resource for anyone working with elementary or middle grades mathematics students. With her trademark ‘good questions to ask,’ clear explanations of underlying ideas, and rich activities, Dr. Small gets at the heart of ways to correct often misunderstood and poorly taught concepts of proportional reasoning, starting with the rarely mentioned primary level.”
—Linda Sheffield, Regents Professor Emerita, Northern Kentucky University
For each of more than 120 visuals, the text identifies the key math concept and the Common Core State Standard being addressed and then provides teachers with:Mathematical background and context.Questions to use with students to lead the instructional conversation.Expected answers and explanations of why each question is important.Follow-up extensions to solidify and assess student understanding.
This book will be useful to a broad range of teachers who will find new ways to clarify concepts that students find difficult. It can be used as a resource to prepare teachers for the higher mathematical thinking requirements of the CCSS Mathematical Practices. It will also be an invaluable resource for teachers working with students with low reading ability, including English language learners and special education students.
“This book provides a way for both teachers and students to get used to talking about mathematics in nonthreatening, open-ended ways. The author’s friendly explanations of the mathematical ideas the pictures are intended to surface give teachers who are less confident about the conceptual aspects of mathematics the support they need to facilitate less-scripted mathematical discourse with their students.”
—Lucy West, education consultant
“A must for any educator who is serious about reaching more students more often and achieving more positive results.”
—Resources for the Mathematics Educator
“A valuable book for mathematics teachers, teacher educators, and faculty involved in differentiated instruction.”
“A great resource.”
—Mathematics Teaching in the Middle School
“I highly recommend this user-friendly resource for all mathematics teachers.”
—Teaching Children Mathematics