"Since knowing produces knowledge, and not the other way around, this book shows how everyone can be a producer rather than a consumer of mathematical knowledge. Mathematics can be owned as a means of mathematizing the universe, just as the power of verbalizing molds itself to all the manifold demands of experience." C. Gattegno

Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.

Gattegno wrote this book as a scientist interested in learning processes, as a student interested in the mastery of foreign languages, and as a teacher interested in providing his students with ideal learning conditions. These perspectives combined with years of research, travel, and fieldwork create a full insight into the problem of learning a foreign language. He argues that learning a language should not be about recitation and memorization, but about the natural learning processes we have used since birth. "In fact," he writes, "We can no more say that we remember our language than that we remember how to stand up or walk."

In Teaching Struggling Students in Mathematics, Too Many Grades of D or F, Bill Hanlon provides examples and recommends highly effective and practical instructional and assessment strategies that classroom teachers can immediately implement and that school administrators can readily observe. These high yield strategies build on accepted practices and directly address the needs of struggling students. His no nonsense, common sense approach assists classroom teachers in organizing their instruction by connecting preparation and instruction to student notes, homework, test preparation, and assessments so students study more effectively. This results in increased student performance. Bill also emphasizes the importance of student-teacher relationships and the implementing a success-on-success model. His emphasis on making students more comfortable in their knowledge, understanding, and application of math is demonstrated repeatedly with examples of how to introduce new concepts and skills by linking them to previously learned math and outside experiences. These linkages allow teachers another opportunity to review and reinforce skills or address student deficiencies. Teaching Struggling Students in Mathematics will help your student succeed in math.

Drawing on his own experience teaching diverse grades and subjects, Kevin Kumashiro examines aspects of teaching and learning toward social justice, and suggests concrete implications for K-12 teachers and teacher educators.

Top 10 Pick for Learning Ladders’ Best Books for Educators Summer 2021 A groundbreaking guide to improve teaching based on the latest research in neuroscience, from the bestselling author of A Mind for Numbers. Neuroscientists and cognitive scientists have made enormous strides in understanding the brain and how we learn, but little of that insight has filtered down to the way teachers teach. Uncommon Sense Teaching applies this research to the classroom for teachers, parents, and anyone interested in improving education. Topics include: • keeping students motivated and engaged, especially with online learning • helping students remember information long-term, so it isn't immediately forgotten after a test • how to teach inclusively in a diverse classroom where students have a wide range of abilities Drawing on research findings as well as the authors' combined decades of experience in the classroom, Uncommon Sense Teaching equips readers with the tools to enhance their teaching, whether they're seasoned professionals or parents trying to offer extra support for their children's education.