Through Mathematical Eyes

Approaches mathematics using an assortment of puzzles and problems and the metaphorical structure of a maze.

This second volume of the Moving Middle Schools series provides a picture of teachers with the courage to invest in a well chosen generative topic for the sake of enhancing students' mathematical power.

This new book is an exciting follow-up to the authors’ bestsellers on differentiated math instruction, Good Questions and More Good Questions. Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K–8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math! For each of more than 120 visuals, the text identifies the key math concept and the Common Core State Standard being addressed and then provides teachers with: Mathematical background and context.Questions to use with students to lead the instructional conversation.Expected answers and explanations of why each question is important.Follow-up extensions to solidify and assess student understanding. This book will be useful to a broad range of teachers who will find new ways to clarify concepts that students find difficult. It can be used as a resource to prepare teachers for the higher mathematical thinking requirements of the CCSS Mathematical Practices. It will also be an invaluable resource for teachers working with students with low reading ability, including English language learners and special education students. “This book provides a way for both teachers and students to get used to talking about mathematics in nonthreatening, open-ended ways. The author’s friendly explanations of the mathematical ideas the pictures are intended to surface give teachers who are less confident about the conceptual aspects of mathematics the support they need to facilitate less-scripted mathematical discourse with their students.” —Lucy West, education consultant Praise for Good Questions and More Good Questions! “A must for any educator who is serious about reaching more students more often and achieving more positive results.” —Resources for the Mathematics Educator “A valuable book for mathematics teachers, teacher educators, and faculty involved in differentiated instruction.” —Choice “A great resource.” —Mathematics Teaching in the Middle School “I highly recommend this user-friendly resource for all mathematics teachers.” —Teaching Children Mathematics

Taking the reader on a wondrous journey through the invisible universe that surrounds us--a universe made visible by mathematics--Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, and allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers--all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture.

Mathematics from a Christian perspective With respect for the history and ever-changing applications of mathematical principles, James Bradley and Russell Howell, along with a team of fellow scholars, invite readers to consider the rich intersection of mathematics and Christian belief. Citizens of the twenty-first century generally believe that mathematics is all about numbers and formulas, with no religious significance— an attitude that belies the faith-based work of thinkers from Plato to Newton. It is time to reawaken our sensitivity to the vital spiritual matters raised by the study of mathematics, a discipline that demands profound thought and helps us understand the beauty and the order of our physical world. Mathematics Through the Eyes of Faith explores questions such as: What is the relationship between chance and divine providence? Do concepts like infinity point beyond themselves to a higher reality? Is mathematics discovered or invented, and why is it effective in the sciences? This comprehensive work, one in a series of cosponsored by the Council for Christian Colleges & Universities, is designed to help students and teachers understand how mathematics has evolved and how the interplay of mathematics and Christian belief can enrich the study of both.

This is the first book to examine research on mathematics teacher noticing--how teachers pay attention to and make sense of what happens in the complexity of instructional situations

This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.