Exploring Mathematics Through Literature


Book Description

This collection of articles and lessons provides classroom examples of how to use children's literature to teach mathematics effectively in prekindergarten through eighth grade. The articles focus on five content strands-number and operations, algebra, geometry, measurement and data analysis and probability-and describe how the different authors have used specific books to help their students learn mathematics. Most of the articles involve communication, problem solving, representation and reasoning and some of them address connections. Helpful teacher notes indicate the grade range, topic, literature selection featured in the lesson, materials needed, discussion of the mathematics and questions for students. Blackline masters of recording sheets are also included for most lessons.




Exploring Mathematics Through Play in the Early Childhood Classroom


Book Description

This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed thorughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking, such as perseverence and attention to precision. This book will help put play back into the early childhood classrooms where it belongs. This book: makes explicit connections to play and the Common Core State Standards in Mathematics; offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play; and provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress.




Teaching Mathematics Through Games


Book Description

Active engagement is the key to learning. You want your students doing something that stimulates them to ask questions and creates a need to know. Teaching Mathematics Through Games presents a variety of classroom-tested exercises and activities that provoke the active learning and curiosity that you hope to promote. These games run the gamut from well-known favorites like SET and Settlers of Catan to original games involving simulating structural inequality in New York or playing Battleship with functions. The book contains activities suitable for a wide variety of college mathematics courses, including general education courses, math for elementary education, probability, calculus, linear algebra, history of math, and proof-based mathematics. Some chapter activities are short term, such as a drop-in lesson for a day, and some are longer, including semester-long projects. All have been tested, refined, and include extensive implementation notes.




Exploring Mathematics


Book Description

Exploring Mathematics: Investigations for Elementary School Teachers is a text designed to give readers a highly conceptual understanding of mathematics topics essential for elementary school teaching. The body of material presented was assembled though considerable experimentation and collaboration among the authors over the past ten years.Using a 'less is more' approach, this book's basic philosophy centers on the idea that the learning of mathematics takes time and is best learned from multiple viewpoints and engaging problems. To meet this goal, the development of mathematical reasoning is introduced primarily through the use of manipulatives, models and visual aids for problem solving. The practical, field-tested, in-depth material and activities found in Exploring Mathematics makes this an ideal text for an upper-division mathematics course that serves as a culminating experience for elementary school teachers.




High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice


Book Description

Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.




Exploring the World of Mathematics


Book Description

Numbers surround us. Just try to make it through a day without using any. It's impossible: telephone numbers, calendars, volume settings, shoe sizes, speed limits, weights, street numbers, microwave timers, TV channels, and the list goes on and on. The many advancements and branches of mathematics were developed through the centuries as people encountered problems and relied upon math to solve them. For instance: What timely invention was tampered with by the Caesars and almost perfected by a pope? Why did ten days vanish in September of 1752? How did Queen Victoria shorten the Sunday sermons at chapel? What important invention caused the world to be divided into time zones? What simple math problem caused the Mars Climate Orbiter to burn up in the Martian atmosphere? What common unit of measurement was originally based on the distance from the equator to the North Pole? Does water always boil at 212? Fahrenheit? What do Da Vinci's Last Supper and the Parthenon have in common? Why is a computer glitch called a "bug"? It's amazing how ten simple digits can be used in an endless number of ways to benefit man. The development of these ten digits and their many uses is the fascinating story you hold in your hands: Exploring the World of Mathematics.




Strengths-Based Teaching and Learning in Mathematics


Book Description

"This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.




Discovering Patterns in Mathematics and Poetry


Book Description

You are invited to join a fascinating journey of discovery, as Marcia Birken and Anne C. Coon explore the intersecting patterns of mathematics and poetry — bringing the two fields together in a new way. Setting the tone with humor and illustrating each chapter with countless examples, Birken and Coon begin with patterns we can see, hear, and feel and then move to more complex patterns. Number systems and nursery rhymes lead to the Golden Mean and sestinas. Simple patterns of shape introduce tessellations and concrete poetry. Fractal geometry makes fractal poetry possible. Ultimately, patterns for the mind lead to questions: How do mathematicians and poets conceive of proof, paradox, and infinity? What role does analogy play in mathematical discovery and poetic expression? The book will be of special interest to readers who enjoy looking for connections across traditional disciplinary boundaries. Discovering Patterns in Mathematics and Poetry features centuries of creative work by mathematicians, poets, and artists, including Fibonacci, Albrecht Dürer, M. C. Escher, David Hilbert, Benoit Mandelbrot, William Shakespeare, Edna St. Vincent Millay, Langston Hughes, E.E. Cummings, and many contemporary experimental poets. Original illustrations include digital photographs, mathematical and poetic models, and fractal imagery.




Books You Can Count on


Book Description

In this book teachers can explore opportunities for relating math to reading.




Tia Isa Wants a Car


Book Description

A little girl pitches in to help her tía save up for a big old car — and take the whole family to the beach — in a story told with warmth and sweetness. Tía Isa wants a car. A shiny green car the same color as the ocean, with wings like a swooping bird. A car to take the whole family to the beach. But saving is hard when everything goes into two piles — one for here and one for Helping Money, so that family members who live far away might join them someday. While Tía Isa saves, her niece does odd jobs for neighbors so she can add her earnings to the stack. But even with her help, will they ever have enough? Meg Medina’s simple, genuine story about keeping in mind those who are far away is written in lovely, lyrical prose and brought to life through Claudio Muñoz’s charming characters.