This title is a greatly expanded volume of the original Art and Science of Teaching, offering a competency-based education framework for substantive change based on Dr. Robert Marzano's 50 years of education research. While the previous model focused on teacher outcomes, the new version places focus on student learning outcomes, with research-based instructional strategies teachers can use to help students grasp the information and skills transferred through their instruction. Throughout the book, Marzano details the elements of three overarching categories of teaching, which define what must happen to optimize student learning: students must receive feedback, get meaningful content instruction, and have their basic psychological needs met. Gain research-based instructional strategies and teaching methods that drive student success: Explore instructional strategies that correspond to each of the 43 elements of The New Art and Science of Teaching, which have been carefully designed to maximize student engagement and achievement. Use ten design questions and a general framework to help determine which classroom strategies you should use to foster student learning. Analyze the behavioral evidence that proves the strategies of an element are helping learners reach their peak academic success. Study the state of the modern standards movement and what changes must be made in K-12 education to ensure high levels of learning for all. Download free reproducible scales specific to the elements in The New Art and Science of Teaching. Contents: Chapter 1: Providing and Communicating Clear Learning Goals Chapter 2: Conducting Assessment Chapter 3: Conducting Direct Instruction Lessons Chapter 4: Practicing and Deepening Lessons Chapter 5: Implementing Knowledge Application Lessons Chapter 6: Using Strategies That Appear in All Types of Lessons Chapter 7: Using Engagement Strategies Chapter 8: Implementing Rules and Procedures Chapter 9: Building Relationships Chapter 10: Communicating High Expectations Chapter 11: Making System Changes

Teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents.

Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.

Math Goggles is a collection of field-tested activities for children that integrate mathematics into the world of the visual arts. Serving as the focal point for each mathematics activity is the work of a famous modern artist"Jackson Pollock, Andy Warhol, Georgie O'Keefe, and many more. After learning brief biographical and anecdotal information about the artist, the reader engages in an exploration of the mathematics embedded in the artwork by creating the featured piece of artwork in the spirit of the artist. Step-by-step instructions accompanied by color images of the artistic masterpieces as well as actual student work aid the reader in visualizing and understanding how to create the art in each activity. As the reader creates each masterpiece, mimicking the great masters, they simultaneously hone their estimation, counting, measurement, and number-sense skills while noticing, creating, and describing shapes and patterns and experimenting with symmetry and probability.

"Ensure your art and music programs thrive with the support of The New Art and Science of Teaching Art and Music. Built on the foundation of Robert J. Marzano's New Art and Science of Teaching framework, this research-based book for art and music teachers outlines music- and arts-based teaching strategies. Rely on the book's myriad strategies to enhance your daily practice and promote the artistic expression, creative growth, and critical thinking skills of every student." -- Amazon.com.

The wonderful thing about mathematical art is that the most beautiful geometric patterns can be produced without needing to be able to draw, or be 'good at art'. Mathematical art is accessible to learners of all ages: its algorithmic nature means that it simply requires the ability to follow instructions carefully and to use a pencil and ruler accurately. It is engaging, enriching, thoroughly enjoyable and is a great leveller in the classroom. Learners who may not normally shine in mathematics lessons will take your breath away with their creativity. Those who struggle with their mathematics will experience the joy of success through their mathematical art-making. The six Artful Maths activities in this book are hands-on tasks that will develop important skills such as hand-eye co-ordination, manual dexterity and design thinking, which is a valuable form of problem-solving. Decisions need to be made about placement, size and colour, all of which entail thinking about measurements, proportions and symmetry. They can be undertaken alone or with a teacher to draw out the mathematics underlying the patterns and to practice key content in the school curriculum. For ages 9 to 16+. Contents: Curves of Pursuit, Mazes and Labyrinths, Impossible Objects, Epicycloids, Perfect Proportions, Parabolic Curves.

The system won’t do it for us. But we have each other. In The Imperfect and Unfinished Math Teacher: A Journey to Reclaim Our Professional Growth, master storyteller Chase Orton offers a vulnerable and courageous grassroots guide that leads K-12 math teachers through a journey to cultivate a more equitable, inclusive, and cohesive culture of professionalism for themselves...what he calls professional flourishment. The book builds from two bold premises. First, that as educators, we are all naturally imperfect and unfinished, and growth should be our constant goal. Second, that the last 40 years of top-down PD efforts in mathematics have rarely supplied teachers with what they need to equitably grow their practice and foster classrooms that are likewise empowered, inclusive, and cohesive. With gentle humanity, this book inspires teachers to break down silos, observe each others’ classrooms, interrogate their own biases, and put students at the center of everything they do in the math classroom. This book: Weaves raw and authentic stories—both personal and those from other educators—into a relatable and validating narrative Offers interactive opportunities to self-reflect, build relationships, seek new vantage on our teaching by observing others’ classrooms and students, and share and listen to other’s stories and experiences Asks teachers to give and accept grace as they work collaboratively to better themselves and the system from within, so that they can truly serve each of their students authentically and equitably Implementing the beliefs and actions in this book will position teachers to become more active partners in each other’s professional growth so that they can navigate the obstacles in their professional landscape with renewed focus and a greater sense of individual and collective efficacy. It equips teachers—and by extension, their students—to chart their own course and author their own equitable and joyful mathematical and professional stories.

Teachers often want to learn new ideas and approaches to improve their teaching, but their efforts are often blocked by structural constraints in their districts and schools. How can schools overcome these barriers to provide more supportive environments for change? The authors answer this question through the study of six cases of schools and districts where teachers and researchers collaborated to develop teaching for understanding in math and science. This new book features: a new conceptual model of how school resources relate to teaching and learning, focusing not only on material resources such as time and money but also on human and social resources; methods that administrators can use to support teachers who want to improve their teaching of math and science; elements that professional developers should look for in a school environment when they are considering working with staff on teaching improvements; and answers to important questions, including how schools operate as organizations, how they control work, how they respond to changes in their environment, and how they improve classroom teaching and learning.

"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

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.