Author: Jo Boaler Publisher: Heinemann Educational Books ISBN: Category : Mathematics Languages : en Pages : 146
Book Description
In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In "Connecting Mathematical Idea"s, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. "Connecting Mathematical Ideas" contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint. In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as: How can I organize productive class discussions? How do I ask questions that stimulate discussion and thought among my students? What's the most effective way to encourage reticent class members to speak up? What role should student errors play in my teaching? Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within "Connecting Mathematical Ideas" and find new ways to help your students connect with math.
Author: Maurice Joseph Burke Publisher: National Council of Teachers of ISBN: 9780873535762 Category : Education Languages : en Pages : 178
Book Description
Making connections becomes increasingly important as students proceed through middle school and high school. This book shows ways of embedding connective processes in instruction in grades 9-12. Problems invite mathematical modelling, unify diverse content, call for different representations and encourage students to look back at their work to find connections. Activities feature such tasks as determining a dosage schedule for a prescription drug, making ""transit graphs"" to maximise travel through a canal and deciding when to accept a ""double dare"" in a simple game. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.
Author: Linda Armstrong Publisher: Mark Twain Media ISBN: 1622235975 Category : Education Languages : en Pages : 68
Book Description
Math Connections to the Real World for grades 5 to 8 increases studentsÕ ability to effectively apply math skills in real-world scenarios. Aligned to current state standards, this supplement offers students the opportunity to combine math and language arts skills to successfully solve everyday problems and communicate answers. --Mark Twain Media Publishing Company specializes in providing engaging supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, this product line covers a range of subjects including math, science, language arts, social studies, history, government, fine arts, and character.
Author: David Wells Publisher: Courier Dover Publications ISBN: 0486824624 Category : Mathematics Languages : en Pages : 177
Book Description
You don't have to be a mathematician to appreciate these intriguing problems and puzzles, which focus on insight and imagination rather than technique. Includes hints and solutions.
Author: Albert Cuoco Publisher: Cambridge University Press ISBN: 9780883857397 Category : Education Languages : en Pages : 274
Book Description
This book is about some of the topics that form the foundations for high school mathematics. It focuses on a closely-knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics, topics that have fallen out of fashion and that deserve to be resurrected. Most importantly, the book is about some mathematical ways of thinking the author found extremely useful, both in his roles as a mathematician and as a mentor of young people learning to do mathematics.
Author: John B. Conway Publisher: American Mathematical Soc. ISBN: 0821849794 Category : Mathematics Languages : en Pages : 243
Book Description
This book illustrates connections between various courses taken by undergraduate mathematics majors. As such it can be used as a text for a capstone course. The chapters are essentially independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and abilities of the students. At the end of such a course the graduating seniors should glimpse mathematics not as a series of independent courses but as something more like an integrated body of knowledge. The book has numerous exercises and examples so that the student has many opportunities to see the material illustrated and fleshed out.
Author: Hope Martin Publisher: Corwin Press ISBN: 1412937663 Category : Education Languages : en Pages : 217
Book Description
"Making Math Connections integrates mathematics into a variety of subject areas and real-life settings, providing motivation for students to want to learn the material being presented. The book also uses a variety of activities to promote learning for students with different interests and learning styles." -Steven P. Isaak, Mathematics Teacher Advanced Technologies Academy, Las Vegas, NV Spark student learning by making an authentic connection between math and real-life experiences! Students often fail to make the connection between "school math" and their everyday lives, becoming passive recipients of isolated, memorized rules and formulas. This remarkable new resource will help students become active problem-solvers who see mathematics as a meaningful tool that can be used outside the classroom. Hope Martin applies more than 40 years of teaching experience to developing a myriad of high-interest, meaningful math investigations. Using a teacher-friendly format, she shows educators how to integrate into the math curriculum engaging, everyday topics, such as forensics, natural disasters, tessellations, the stock market, and literature. This project-based resource encourages cooperative, interactive learning experiences that not only help students make connections between various math skills but also make important connections to the real world. Aligned to NCTM standards, these mathematical applications are broken down into complete units focusing on different topics. Each chapter includes: Background information on the topic Step-by-step procedures for math investigations Assessment strategies Journal questions Reproducible worksheets Additional related readings and Internet Web sites By increasing their awareness of meaningful everyday applications, students will learn to use math as an essential tool in their daily lives.
Author: Al Cuoco Publisher: American Mathematical Soc. ISBN: 1614441235 Category : Mathematics Languages : en Pages : 239
Book Description
Mathematical Connections is about some of the topics that form the foundations for high school mathematics. It focuses on a closely knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics--topics that have fallen out of fashion and that deserve to be resurrected. While the book will appeal to many audiences, one of the primary audiences is high school teachers, both practicing and prospective. It can be used as a text for undergraduate or professional courses, and the design lends itself to self study. Of course, good mathematics for teaching is also good for many other uses, so readers of all persuasions can enjoy exploring some of the beautiful ideas presented in the pages of this book.
Author: Peter M Higgins Publisher: OUP Oxford ISBN: 0191622702 Category : Mathematics Languages : en Pages : 318
Book Description
What do road and railway systems, electrical circuits, mingling at parties, mazes, family trees, and the internet all have in common? All are networks - either people or places or things that relate and connect to one another. Only relatively recently have mathematicians begun to explore such networks and connections, and their importance has taken everyone by surprise. The mathematics of networks form the basis of many fascinating puzzles and problems, from tic-tac-toe and circular sudoku to the 'Chinese Postman Problem' (can he deliver all his letters without traversing the same street twice?). Peter Higgins shows how such puzzles as well as many real-world phenomena are underpinned by the same deep mathematical structure. Understanding mathematical networks can give us remarkable new insights into them all.
Author: Jo Boaler
Author: Maurice Joseph Burke
Author: Linda Armstrong
Author: David Wells
Author: Albert Cuoco
Author: John B. Conway
Author: Hope Martin
Author: Al Cuoco
Author: Peter M Higgins
Author: Thomas E. Clark