If our goal is to broaden and deepen students’ awareness and understanding of mathematics, we advance the idea that engaging students with what we metaphorically call the personality of math. That is, we think that students who engage with the math’s (1) human champions, (2) with its history and philosophy, and (3) with the nature of its problems and inferential challenges, are more likely to have a positive attitude toward math that will encourage greater learning.

While many accept that math is a universal, culturally indifferent subject in school, this book demonstrates that this is anything but true. Building off of a historically conscious understanding of school reform, Diaz makes the case that the language of mathematics, and the symbols through which it is communicated, is not merely about the alleged cultural indifference of mathematical thinking; rather, mathematical teaching relates to historical, cultural, political, and social understandings of equality that order who the child is and should be. Focusing on elementary math for all education reforms in America since the mid-twentieth century, Diaz offers an alternative way of thinking about the subject that recognizes the historical making of contemporary notions of inequality and difference.

This third edition is a lively and provocative tract on how to teach mathematics in today's new world of online learning tools and innovative teaching devices. The author guides the reader through the joys and pitfalls of interacting with modern undergraduates--telling you very explicitly what to do and what not to do. This third edition has been streamlined from the second edition, but still includes the nuts and bolts of good teaching, discussing material related to new developments in teaching methodology and technique, as well as adding an entire new chapter on online teaching methods.

Publisher description

This book informs instructors and librarians about the history, aims, and pedagogical uses of the annotated bibliography. A companion to the authors' Writing the Annotated Bibliography, this text enables instructors to better understand the annotated bibliography not only as a tool for research and composition but also as a valuable pedagogical tool. It provides practical guidance along with assignments, lesson plans, assessment rubrics, and other tools for using annotated bibliographies in effective and nuanced ways. It also contains annotated bibliography samples in APA, MLA, and Chicago styles. This practical book is of great use to instructors of composition and research skills, librarians, curriculum designers, writing center directors, and education professionals.

How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.

Educational title for gifted and advanced learners.

A schoolwide solution for students’ mathematics success! Do you sometimes start to teach a mathematics concept and feel like you’re staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, you’ll learn to avoid "rules that expire"—tricks that may seem to help students in one grade but hurt in the long run. Features of this book include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · Practical templates and checklists · PLC prompts and discussion points When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics!

Discusses, from a working mathematician's point of view, the mystery of mathematical intuition: Why are certain mathematical concepts more intuitive than others? And to what extent does the 'small scale' structure of mathematical concepts and algorithms reflect the workings of the human brain?

This remarkable, first-hand account reveals the impediments and challenges to educating inner-city secondary students when so much is arrayed against them and how believing in all kids helped save a school and change education in the state of Colorado. In 2 years, Principal Scott Mendelsberg took his school from a 17% to a 73% college matriculation rate. He didn’t get new teachers, a new building, different kids, or a new curriculum. He just made sure students realized that college was an option for them. Advance Praise for College Now! “Through funny, sad, and triumphant stories, Mendelsberg lays out the power of high expectations; the need to support and hold educators accountable; and the strategies for creating a learning environment that embraces rigor and engagement. Additionally, he makes the case for competency-based learning with digital resources, self-paced learning, and performance gateways where students demonstrate readiness.” —From the Foreword by Tom Vander Ark, CEO of Getting Smart “School reform, up close and personal from the desk of a principal. Lively. Insightful. Honest.” —Brad Jupp, Senior Program Advisor, United States Department of Education “If you’re suffering a bit from reform fatigue and wondering whether anything works in really changing schools, you must absolutely read this book because it will give you renewed hope.” —David Longanecker, executive director, Western Interstate Commission on Higher Education, and former Assistant Secretary of Education under President Clinton "Scott is truly a ‘principal's principal.’ His experience in the urban high school setting provides new principals with a guide for exploring their own thinking about how to lead their schools in increasing studentachievement.” —Lynn Fair, principal, Aurora Central High School, Aurora, CO “Brilliant! With the skill of a master storyteller, Scott Mendelsberg has written a primer for all school administrators. His grasp of leadership principles is keen and his insights right on the mark, making College Now! a must-read for educators.” —Mike Miles, superintendent, Dallas Independent School District