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Mathematical Conversations by Robin Wilson,Jeremy Gray Pdf
Approximately fifty articles that were published in The Mathematical Intelligencer during its first eighteen years. The selection demonstrates the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. Each article is introduced by the editors. "...The Mathematical Intelligencer publishes stylish, well-illustrated articles, rich in ideas and usually short on proofs. ...Many, but not all articles fall within the reach of the advanced undergraduate mathematics major. ... This book makes a nice addition to any undergraduate mathematics collection that does not already sport back issues of The Mathematical Intelligencer." D.V. Feldman, University of New Hamphire, CHOICE Reviews, June 2001.
Mathematical Conversations by E. B. Dynkin,V. A. Uspenskii Pdf
Comprises Multicolor Problems, dealing with map-coloring problems; Problems in the Theory of Numbers, an elementary introduction to algebraic number theory; Random Walks, addressing basic problems in probability theory. 1963 edition.
Intentional Talk by Elham Kazemi,Allison Hintz Pdf
Math teachers know the first step to meaningful mathematics discussions is to ask students to share how they solved a problem and make their thinking visible; however, knowing where to go next can be a daunting task. In Intentional Talk: How to Structure and Lead Productive Mathematical Discussions , authors Elham Kazemi and Allison Hintz provide teachers with a framework for planning and facilitating purposeful math talks that move group discussions to the next level while achieving a mathematical goal.Through detailed vignettes from both primary and upper elementary classrooms, the authors provide a window into how teachers lead discussions and make important pedagogical decisions along the way. By creating equitable opportunities to share ideas, teachers can orient students to one another while enforcing that all students are sense makers and their ideas are valued. They examine students' roles as both listeners and talkers, offering numerous strategies for improving student participation.Intentional Talk includes a collection of lesson planning templates in the appendix to help teachers apply the right structure to discussions in their own classrooms.
Growing Mathematical Minds by Jennifer S. McCray,Jie-Qi Chen,Janet Eisenband-Sorkin Pdf
Growing Mathematical Minds is the documentation of an innovative, bi-directional process of connecting research and practice in early childhood mathematics. The book translates research on early mathematics from developmental psychology into terms that are meaningful to teachers and readily applicable in early childhood classrooms. It documents teacher responses, and conveys their thoughts and questions back to representative researchers, who reply in turn. In so doing, this highly useful book creates a conversation, in which researchers and teachers each bring their expertise to bear; their communication about these topics—informed by the thinking, commitment, and experience of both groups—helps us better understand how developmental psychology can improve math teaching, and how math teaching can, in turn, inform developmental science. The book bridges the gap between research and practice, helping teachers to adopt evidence-based practices and apply cutting-edge research findings, and prompting developmental researchers to consider their work within the framework of practice. Growing Mathematical Minds identifies and elucidates research with profound implications for teaching children from three to eight years so they develop foundational math knowledge and skills, positive attitudes toward math, and basic abilities to think mathematically.
Mathematical Conversations Within the Practice of Mathematics by Lynn M. Gordon Calvert Pdf
Mathematical Conversations within the Practice of Mathematics questions underlying assumptions and broadens current perceptions of mathematical practice and discourse. Rather than simply a verbal exchange, a conversational discourse is viewed as a way to maintain our relationships with others as we seek meaning and coherence in our lived experiences. This book explores the nature of mathematical conversations and their place in the practice of mathematics. The necessary incompleteness of expression, explanation, and understanding within mathematical conversations is revealed and explored in this book resulting in alternative images of intelligent action, acceptable explanations, and the nature of mathematics and reality.
Hands Down, Speak Out by Kassia Omohundro Wedekind,Christy Hermann Thompson Pdf
Few skills are as critical or as rare today as the ability to hear and comprehend what other people are saying. The authors of' Hands Down, Speak Out' argue that we need new tools to teach the art of listening and they' ve put forward a simple yet transformative model for encouraging student conversations that are inclusive, empowering, and rich in content. This classroom guide for grades K-5 is particularly needed in the aftermath of two disrupted school years.' ' Teaching Foundational Skills Across Subjects:' Hands Down, Speak Out' is a practical guide for teaching listening and talking skills that span both literacy and math instruction and can be applied to a multitude of curriculums. K-5 Classroom Management Focused on Dialogue: Too often, the practice of hand-raising favors the performance of answers by a few students over the construction of meaning involving the whole class. Help' all' students develop dialogue skills that will deepen their understanding of literacy and mathematics, as well as of themselves, their communities, and the world. 28 Student-Centered Micro Lessons: Each of these short, incremental lessons build specific skills during content instruction rather than taking time away from it. Students will be energized by a discourse structure in which their ideas and voices take the lead while teachers focus on listening and facilitating. Nurturing Disagreements: The authors' provide guidance for managing difficult conversations by teaching students to engage in debate and discussion in a way that values listening equally with talking. Students are able to spend time developing active listening and speaking skills in a constructive environment. When we build talk communities with children, our greatest hope is that what they learn through talking about reading, writing, and math is matched by what they learn about living in the world with others, write Kassia Omohundro Wedekind and Christy Hermann Thompson.' Hands Down, Speak Out' demonstrates how teachers and leaders can run inclusive and accessible classrooms that respect each student' s level of participation.
Making math part of everyday conversations is a powerful way to help children and teens learn to love math. In Table Talk Math, John Stevens offers parents (and teachers!) ideas for initiating authentic, math-based conversations that will get kids notice and be curious about all the numbers, patterns, and equations in the world around them.
Mathematical People by Donald Albers,Gerald L. Alexanderson Pdf
This unique collection contains extensive and in-depth interviews with mathematicians who have shaped the field of mathematics in the twentieth century. Collected by two mathematicians respected in the community for their skill in communicating mathematical topics to a broader audience, the book is also rich with photographs and includes an introdu
777 Mathematical Conversation Starters by John dePillis Pdf
777 Mathematical Conversation Starters shows that there are few degrees of separation between mathematics and topics that provoke interesting conversations. The topics presented in this unique book are accessible to mathematicians and non-mathematicians alike. They include thought-provoking conversation starters such as: the value of fame; why language matters; the anatomy of thought; how we know what we know; how the Pythagorean theorem (with very little physics) shows that Einstein was correct about time dilation and distance contraction; and how mathematics produces intuition-defying examples. The format is unique, too: topics (conversation starters) are numbered, extensively cross-referenced, and divided into small digestible units. Published for the first time in 777 Mathematical Conversation Starters are original quotes from Joshua Lederberg, Ron Graham, Jay Leno, Martin Gardner, and many others.
Activating Math Talk by Paola Sztajn,Daniel Heck,Kristen Malzahn Pdf
Achieve High-Quality Mathematics Discourse With Purposeful Talk Techniques Many mathematics teachers agree that engaging students in high quality discourse is important for their conceptual learning, but successfully promoting such discourse in elementary classrooms—with attention to the needs of every learner—can be a challenge. Activating Math Talk tackles this challenge by bringing practical, math-specific, productive discourse techniques that are applicable to any lesson or curriculum. Framed around 11 student-centered discourse techniques, this research-based book connects purposeful instructional techniques to specific lesson goals and includes a focus on supporting emergent multilingual learners. You will be guided through each technique with Classroom examples of tasks and techniques spanning grades K–5 Reflection moments to help you consider how key ideas relate to your own instruction Classroom vignettes that illustrate the techniques in action and provide opportunities to analyze and prepare for your own implementation Group discussion questions for engaging with colleagues in your professional community Achieving high-quality mathematics discourse is within your reach using the clear-cut techniques that activates your math talk efforts to promote every student’s conceptual learning.
Teaching Mathematics Today 2nd Edition by Erin Lehmann Pdf
This second edition is a must-read for today's mathematics teachers offering research-based strategies and best practices that are critical and highly effective in mathematics instruction. This invaluable resource provides practical suggestions, resources, and templates to support the areas of classroom management, instructional planning, content and practice standard implementation, assessment, and differentiation, as well as methods to build students' conceptual understanding. It also guides teachers in using the Professional Learning Community model effectively in order to support professional growth and student achievement. With a focus on student thinking and learning, this book is an essential guide for all educators.