Books · Math · Teaching

Good Questions

Title: Good Questions

Author: Marian Small
Good Questions: Great Ways to Differentiate Mathematics Instruction in the Standards-Based Classroom
Publisher: Teachers College Press | English | 2017 | ISBN: 080775854X | 176 pages

Now in its third edition, this bestselling resource provides tools to help experienced and novice teachers effectively and efficiently differentiate mathematics instruction in grades K-8. Math education expert Marian Small shows teachers how to get started and become expert at using two powerful and universal strategies: Open Questions and Parallel Tasks. This volume includes key changes that will make it easier for teachers to use in all quality state standards environments, including direct links to Common Core content standards and standards for mathematical practice. Classroom examples, many new for this edition, are provided at each grade band: K-2, 3-5, and 6-8. Along with each example, the text describes how teachers can evoke productive conversations that meet the needs of a broad range of learners.

Teaching Mathematical Thinking: Tasks and Questions to Strengthen Practices and Processes
Title: Teaching Mathematical Thinking

Author: Marian Small

Publisher: Teachers College Press | English | 2017 | ISBN: 0807758566 | 144 pages
Books · Gamification · Math · Teaching

Mathematics Education for a New Era

Title: Mathematics Education for a New Era

Author: Guy Keith Devlin

English | 2011 | ISBN-10: 1568814313 | 218 pages
Mathematics Education for a New Era: Video Games as a Medium for Learning

Stanford mathematician and NPR Math Guy Keith Devlin explains why, fun aside, video games are the ideal medium to teach middle-school math.
Aimed primarily at teachers and education researchers, but also of interest to game developers who want to produce video games for mathematics education, Mathematics Education for a New Era: Video Games as a Medium for Learning describes exactly what is involved in designing and producing successful math educational video games that foster the innovative mathematical thinking skills necessary for success in a global economy.

Books · Educational Philosophy · Math · Teaching

Visible Learning for Mathematics

Title: Visible Learning for Mathematics (Corwin Mathematics Series)

Authors: John Hattie, Douglas Fisher, Nancy Frey, Linda M. Gojak, Sara Delano Moore, William L. Mellman
September 30, 2016 | ISBN: 150636294X | English | 304 pages
Visible Learning for Mathematics, Grades K-12: What Works Best to Optimize Student Learning

Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school.

That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in “visible” learning because the
effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students.Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle:Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings.

Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency.

Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations.To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Teaching Math with Google Apps: 50 G Suite Activities

Title: Teaching Math with Google Apps

Authors: Alice Keeler and Diana Herrington
English | 2017 | ISBN: 1946444049 | 138 pages

“Why do I need to know how to do math when I can find the answer on my phone?”

If you’ve ever heard a variation of that question from your students—or asked it yourself—this book is for you. Bringing technology into the classroom is about so much more than replacing overhead projectors and chalkboards with Smart Boards. Unfortunately, as Stanford Professor Jo Boaler says, “We are in the twenty-first century, but visitors to many math classrooms could be forgiven for thinking they had stepped back in time and walked into the Victorian era.” But that’s all about to change . . .

In Teaching Math with Google Apps, author-educators Alice Keeler and Diana Herrington reveal more than 50 ways teachers can use technology in math classes. The goal isn’t using tech for tech’s sake; rather, it’s to help students develop critical-thinking skills and learn how to apply mathematical concepts to real life.

Memorization and speed tests seem irrelevant to students who can find the solution to almost any math problem with a tap of the finger. But today’s digital tools allow teachers to make math relevant. Specifically, Google Apps give teachers the opportunity to interact with students in more meaningful ways than ever before, and G Suite empowers students to stretch their thinking and their creativity as they collaborate, explore, and learn.

  • Teaching Math with Google Apps shows you how to:Create engaging activities that make math relevant to your students.
  • Interact with students throughout the learning process
  • Spend less time repeating instructions and grading work
  • Improve your lessons so you can better meet your students’ needs

Packed with lesson ideas, links to downloadable templates, step-by-step instructions, and resources, Teaching Math with Google Apps equips you to bring your math class into the twenty-first century with easy-to-use technology. What are you waiting for?

Books · Emerging Trends · Math · Teaching

How To Teach Mathematics

Title: How To Teach Mathematics

Author:  Steven G. Krantz
English | 2015 | ISBN: 1470425521 | 146 pages
How to Teach Mathematics, 3 edition

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.

Explaining and Exploring Mathematics: Teaching 11- to 18-year-olds for understanding and enjoyment

Title: Explaining and Exploring Mathematics

Author: Christian Puritz

English | 2017 | ISBN: 1138680192, 1138680214 | 226 pages

 
Explaining and Exploring Mathematics is designed to help you teach key mathematical concepts in a fun and engaging way by developing the confidence that is vital for teachers. This practical guide focuses on improving students mathematical understanding, rather than just training them for exams. Covering many aspects of the secondary mathematics curriculum for ages 11-18, it explains how to build on students current knowledge to help them make sense of new concepts and avoid common misconceptions.
Focusing on two main principles to improve students understanding: spotting patterns and extending them to something new, and relating the topic being taught to something that the pupils already understand, this book helps you to explore mathematics with your class and establish a successful teacher-student relationship.

Structured into a series of lessons, Explaining and Exploring Mathematics is packed full of practical advice and examples of the best way to answer frequently asked questions such as:

  • Do two minuses really make a plus?
  • Why doesnt 3a + 4b equal 7ab?
  • How do you get the area of a circle?
  • Why do the angles of a triangle add up to 180°?
  • How can you integrate 1/x and calculate the value of e?

This book will be essential reading for all trainee and practising teachers who want to make mathematics relevant and engaging for their students.

Title: Algebra Teacher’s Activity Kit

Authors: Judit A. Muschla, Gary Rober Muschla and Erin Muschla-Berry

English | 2015 | ISBN: 1119045746 | 336 pages

atestactHelp your students succeed with classroom-ready, standards-based activities. The Algebra Teacher’s Activities Kit: 150 Activities That Support Algebra in the Common Core Math Standards helps you bring the standards into your algebra classroom with a range of engaging activities that reinforce fundamental algebra skills. This newly updated second edition is formatted for easy implementation, with teaching notes and answers followed by reproducibles for activities covering the algebra standards for grades 6 through 12. Coverage includes whole numbers, variables, equations, inequalities, graphing, polynomials, factoring, logarithmic functions, statistics, and more, and gives you the material you need to reach students of various abilities and learning styles. Many of these activities are self-correcting, adding interest for students and saving you time.

This book provides dozens of activities that

  • Engage students and get them excited about math
  • Directly address each Common Core algebra standard
  • Are tailored to a diverse range of levels and abilities
  • Reinforce fundamental skills and demonstrate everyday relevance

Algebra lays the groundwork for every math class that comes after it, so it’s crucial that students master the material and gain confidence in their abilities. The Algebra Teacher’s Activities Kit helps you face the challenge, well-armed with effective activities that help students become successful in algebra class and beyond.

Coding · Math · Online · Teaching

Scratch for Mathematics

Scratch for Mathematics
Author: SJ Withers
2017 | English | ASIN: B071V3PCVN | 169 pages


This book describes and explains the arithmetic, mathematics and data components of the Scratch Interactive Development Environment (IDE). These components are little used, but could provide a useful tool for a teacher of mathematics, a primary school teacher, a teacher at Key Stage 3 or home educator looking for new ways to engage a learner. It introduces basic programming skills and an understanding of the mathematics specific code blocks in Scratch. It also provides a way of working with mathematics which is visual and can be engaging. This book also provides examples of the way Scratch can be applied for common arithmetic and mathematics problems such as calculating percentages, testing arithmetic knowledge and applying Pythagoras Theorem amongst others. This book is not a course in mathematics, but it does explain how Scratch can be used as a tool for learning arithmetic and mathematics.

Books · Math · STEM · Teaching

A Mind For Numbers

Title: A Mind For Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)

Author: Barbara Oakley
English | ISBN: 039916524X | 2014  | 336 pages

A Mind For Numbers: How to Excel at Math and Science (Even If You Flunked Algebra) (repost)

Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a higher level of math competency, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating but inescapable field. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options”both to rise in the military and to explore other careers”she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life.

In A Mind for Numbers, Dr. Oakley lets us in on the secrets to effectively learning math and science”secrets that even dedicated and successful students wish they™d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there™s only one way to do a problem, when in actuality, there are often a number of different solutions”you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn math. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. A Mind for Numbers shows us that we all have what it takes to excel in math, and learning it is not as painful as some might think!

Books · Geography · Math · Teaching

Reflecting the World

Title: Reflecting the World: A Guide to Incorporating Equity in Mathematics Teacher Education

Authors: Mathew D. Felton-Koestler, Ksenija Simic-Muller
2017 | ISBN-10: 1681237679, 1681237687 | 138 pages

Reflecting the World: A Guide to Incorporating Equity in Mathematics Teacher Education

Reflecting the World is a guide for mathematics teacher educators interested in incorporating equity concerns into their teaching. The book draws on the authors’ research and experience integrating issues of equity, diversity, and social justice into their work as mathematics teacher educators of preservice and inservice preK-9 teachers. Reflecting the World includes both a framework for integrating issues of equity into mathematics teacher education courses and professional development and example lessons. The lessons are organized by content area and include guidance for using them effectively. Elementary and middle grades pre-service teachers are often uncomfortable with mathematics, uncertain about their ability to teach it, and unsure of how it connects to the real world. For many preservice teachers a focus on the real world—and in particular on issues of equity, diversity, and social justice—is more engaging than their past experiences with mathematics and can help lessen their mathematical anxieties. Reflecting the World will assist teacher educators in designing and teaching mathematics content and methods courses in ways that support future teachers to see the relevance of mathematics to our world and in becoming critical, questioning citizens in an increasingly mathematical world. The book provides a set of tools for helping future teachers connect mathematics to the lives, interests, and political realities of an increasingly diverse student body, and in doing so it provides a meaningful answer to the question, “when will I ever use this?”

Global Education: Using Technology to Bring the World to Your Students (repost)

 

Title: Global Education: Using Technology to Bring the World to Your Students

Author: Laurence Peters
English | 2009 | ISBN: 1564842584 | 190 pages

Eleventh grade students in Bangladesh exchange video interviews with 10th-grade students in Georgia. High schoolers in Illinois learn Japanese, Hebrew, Latin, Spanish, French, and German using online discussions with counterparts from many different countries.

Students from around the world research endangered animal species from their areas and publish their findings to a shared website. Connecting globally through advances in Internet technology, including Web 2.0 tools, can now be a reality for any student in any classroom.

As our local communities reflect more of the world’s diversity, students need to be prepared to communicate with and relate to individuals from different countries and cultures. Integrating global education into standards-based lessons allows students to connect personally with their peers across geographical boundaries, expand their knowledge and awareness of the world, and increase their interest and curiosity in what they are learning. Global Education is a guide to get you started. It provides an introduction to global networks such as iEarn, Global Schoolhouse, and ePals; an overview of Web 2.0 tools that support global learning, such as wikis, blogs, and podcasts; and hundreds of Web resources. No matter the grade level or subject area, Global Education’s numerous examples, case studies, and lesson plans will provide you with ideas and inspiration for bringing your students the world.

Features:

* A sampling of global education projects from around the world
* A glossary and lists of hundreds of global education resources
* Historical perspectives on global education

The International Society for Technology in Education (ISTE) is the trusted source for professional development, knowledge generation, advocacy and leadership for innovation. ISTE is the premier membership association for educators and education leaders engaged in improving teaching and learning by advancing the effective use of technology in PK-12 and teacher education. Home of the National Educational Technology Standards (NETS), the Center for Applied Research in Educational Technology (CARET), and ISTE’s annual conference (formerly known as the National Educational Computing Conference, or NECC), ISTE represents more than 100,000 professionals worldwide. We support our members with information, networking opportunities, and guidance as they face the challenge of transforming education.

Some of the areas in which we publish are:
-Web. 2.0 in the classroom-RSS, podcasts, and more
-National Educational Technology Standards (NETS)
-Professional development for educators and administrators
-Integrating technology into the classroom and curriculum
-Safe practices for the Internet and technology
-Educational technology for parents

Books · Gamification · Math

Essential Mathematics for Games and Interactive Applications

Title: Essential Mathematics for Games and Interactive Applications (3rd Edition)

Authors: James M. Van Verth, Lars M. BishopEssential Mathematics for Games and Interactive Applications (3rd Edition) (Repost)
2015 | 624 Pages | ISBN: 1482250926
Developed from the authors’ popular Game Developers Conference (GDC) tutorial, Essential Mathematics for Games and Interactive Applications, Third Edition illustrates the importance of mathematics in 3D programming. It shows you how to properly animate, simulate, and render scenes and discusses the mathematics behind the processes. Completely revised to fix errors and make the content flow better, this third edition reflects the increased use of shader graphics pipelines, such as in DirectX 11, OpenGL ES (GLES), and the OpenGL Core Profile. It also updates the material on real-time graphics with coverage of more realistic materials and lighting. The Foundation for Successful 3D Programming The book covers the low-level mathematical and geometric representations and algorithms that are the core of any game engine. It also explores all the stages of the rendering pipeline. The authors explain how to represent, transform, view, and animate geometry. They then focus on visual matters, specifically the representation, computation, and use of color. They also address randomness, intersecting geometric entities, and physical simulation. An Introduction to Creating Real and Active Virtual Worlds This updated book provides you with a conceptual understanding of the mathematics needed to create 3D games as well as a practical understanding of how these mathematical bases actually apply to games and graphics. It not only includes the theoretical mathematical background but also incorporates many examples of how the concepts are used to affect how a game looks and plays.
Books · Math · Science · STEM · Teaching

Statistics: The Art and Science of Learning from Data

Statistics: The Art and Science of Learning from Data, Global Edition

Title: Statistics: The Art and Science of Learning from Data, Global Edition

Authors: Agresti, Franklin, Kingenburg
English | 2017 | ISBN: 1292164778, 1292164875 | 816 Pages


Statistics:  Fourth Edition, takes a conceptual approach, helping students understand what statistics is about and learning the right questions to ask when analyzing data, rather than just memorizing procedures. This book takes the ideas that have turned statistics into a central science in modern life and makes them accessible, without compromising the necessary rigor. Students will enjoy reading this book, and will stay engaged with its wide variety of real-world data in the examples and exercises.

The authors believe that it’s important for students to learn and analyze both quantitative and categorical data. As a result, the text pays greater attention to the analysis of proportions than many other introductory statistics texts. Concepts are introduced first with categorical data, and then with quantitative data.

MyStatLab™ not included. Students, if MyStatLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyStatLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

MyStatLab is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.

Educational Philosophy · Emerging Trends · Math · Teaching

Best Practices for Education Professionals

Best Practices for Education Professionals, Volume Two

Title: Best Practices for Education Professionals, Volume Two

CRC Press | Mathematics | September 26, 2016 | ISBN-10: 1771884126 | 242 pages

Authors:  Heidi Schnackenberg (Editor), Beverly Burnell (Editor)

This informative new volume provides a hand-picked selection of useful techniques, ideas, competencies, and skills for working with children in school settings. The book comprises both research (qualitative, quantitative, and mixed-design) and conceptual pieces about the most effective, current professional practices for professionals who work with P-12 children in schools. The practices described here will be useful for a wide assortment of professionals within education, including practicing teachers, school counselors, school psychologists, speech language pathologists, administrators, and education students.