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Street Mathematics and School Mathematics by Terezinha Nunes,Analucia Dias Schliemann,David William Carraher Pdf
This text is about the differences between the practical knowledge of mathematics and mathematics learned in school. The authors look at the differences between these two ways of solving mathematical problems.
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Math for All Participant Book (3–5) by Babette Moeller,Barbara Dubitsky,Marvin Cohen,Karen Marschke-Tobier,Hal Melnick,Linda Metnetsky Pdf
A mathematics professional development program for inclusive classrooms This professional development program shows general and special education teachers how to collaborate to provide a high-quality, standards-based mathematics education to all students, including those with disabilities. This book includes the handouts and reproducibles for the program. The corresponding kit includes a facilitator’s guide and a companion DVD. TheMath for All learning experiences help teachers: Assess students’ strengths and needs Use multiple instructional strategies to teach specific math concepts Tailor lessons based on individual students' strengths and needs to help them achieve high-quality learning outcomes in mathematics
Elementary School Mathematics for Parents and Teachers by Raz Kupferman Pdf
This book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.
Making Sense of Mathematics for Teaching High School by Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu Pdf
Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index
High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by Robert Q. Berry III,Basil M. Conway IV,Brian R. Lawler,John W. Staley Pdf
Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.
The Essentials of High School Math by Joseph R. Davis Pdf
The Essentials of High School Math was designed to help students learn the basics of mathematics that they are supposed to understand upon entering high school, as well as the fundamental lessons within Algebra, Geometry, and Statistics that students typically learn in ninth and tenth grade. It is specifically intended for students identified as possibly having trouble on an upcoming state-mandated math exam, or for those who have already failed such an exam and must re-take it. The book was created to include everything a student needs to study, practice, and learn the material that any high school student should know. It contains almost 1,000 problems for students to practice, and the lessons themselves contain about 100 questions from actual state exams that are thoroughly explained, along with hundreds of other examples. Each lesson is designed to cover one topic only so that students may learn and thoroughly understand that topic. Whether with the help of a teacher, tutor, parent, or even alone, any student should be able to read through a lesson and have a good understanding of it. The Essentials of High School Math is recommended for any student that needs help with math.
Mathematics for Human Flourishing by Francis Su Pdf
"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.
Junior High School Mathematics, Book 1 by Edson Homer Taylor,Fiske Allen Pdf
This is an essential textbook for students in junior high school who are looking to strengthen their math skills. The clear and concise explanations, paired with interactive exercises, make this book an excellent resource for learners of all levels. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
International Handbook of Mathematics Education by Alan Bishop,M.A. (Ken) Clements,Christine Keitel-Kreidt,Jeremy Kilpatrick,Colette Laborde Pdf
ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.
Understanding Lesson Study for Mathematics by Rosa Archer,Siân Morgan,David Swanson Pdf
Using the latest research, this book provides an insight into how learning in mathematics can be improved through a lesson study approach. This highly practical resource explores the research and theory that underpins lesson study, and shows the significant impact it can have on teacher development. Divided into ten accessible main chapters that focus in depth on an individual mathematics lesson, each chapter provides research and background to the lesson, an outline of key features, a detailed description and analysis of the lesson in practice, post-lesson discussions and reflections which generalise from the experience, as well as links to helpful resources. Some of the key topics explored include: Fractions Proportional relationships Probability and statistics Geometry Modelling Algebra Dialogic reasoning. Understanding Lesson Study for Mathematics is the perfect resource for all mathematics teachers, trainee teachers, and professional developers who are looking to develop the use of lesson study in their own practice or for those simply seeking new inspiring ideas for the mathematics classroom.
Navigating Numeracies by Brian V. Street,Dave Baker,Alison Tomlin Pdf
Abstract. This introduction sets the scene for the remainder of the book by considering first the international context of widespread concern about the improvement of numeracy skills. This is related to reform movements in the UK, the US and other countries aimed at modernising primary (elementary) school mathematics curricula. A detailed account is given of the National Numeracy Strategy in England, a systemic government-imposed response to concern about standards implemented in 1999/2000. This includes a discussion of the alternative meanings of numeracy. An earlier initiative sponsored by a UK charitable trust reacting to concern about primary numeracy was the Leverhulme Numeracy Research Programme. This large-scale longitudinal study and linked set of case-study projects, focusing on reasons for low attainment, took place during 1997-2002. This book, and each other in the same series, is based on results of that research. The timescale fortuitously enabled the research team to also report on some effects of the systemic reform in the National Numeracy Strategy. 1. THE INTERNATIONAL CONTEXT In many countries, there are recurring periods of national concern about the low standards of calculation skills shown by children in primary (elementary) schools. Recently these concerns have become more urgent and more political with the publication of international comparisons of mathematical achievement, first at secondary and more recently at primary level (e. g. Lapointe, Mead et al. 1992; Mullis et al. , 1997).
Math for All Participant Book (K–2) by Babette Moeller,Barbara Dubitsky,Marvin Cohen,Karen Marschke-Tobier,Hal Melnick,Linda Metnetsky Pdf
A mathematics professional development program for inclusive classrooms Developed by the Education Development Center and Bank Street College of Education, this professional development program shows general and special education teachers how to collaborate to provide a high-quality, standards-based mathematics education to all students, including those with disabilities. The Math for All learning experiences detailed in the corresponding facilitator′s kit help teachers Assess students′ strengths and needs Use multiple instructional strategies to teach specific math concepts Tailor lessons based on individual student′s strengths and needs to help them achieve high-quality learning outcomes in mathematics and meet the Common Core State Standards This program emphasizes how the neurodevelopmental demands of a math lesson interact with individual student’s strengths and needs. The authors provide step-by-step guidance for adapting materials, activities, and instructional strategies to make lessons accessible to all students. This participant book includes the handouts and reproducibles for the program. The corresponding kit includes a facilitator′s guide and a corresponding DVD. "This detailed and informative resource provides a neurodevelopmental guideline for planning math lessons appropriate for learners with a variety of learning needs." —Renee Peoples, Math Instructional Facilitator Swain County Elementary Schools, Bryson City, NC "Math for All will directly impact the way teachers observe, reflect, and support students who struggle with some aspect of math learning. It is a multi-layered book that will appeal to facilitators of professional development and teachers, because it is grounded in everyday practice." —Claire Wurtzel, Director of Professional Development The Churchill School & Center, New York , NY
Mathematics Instruction and Tasks in a PLC at Work by Timothy D. Kanold,Sarah Schuhl,Mona Toncheff,Bill Barnes,Jennifer Deinhart,Jessica Kanold-McIntyre,Matthew R. Larson Pdf
"Mathematics Instruction and Tasks in a PLC at Work®, Second Edition by Mona Toncheff, Timothy D. Kanold, Sarah Schuhl, Bill Barnes, Jennifer Deinhart, Jessica Kanold-McIntyre, and Matthew R. Larson provides guidance for K-12 teachers to reflect on current lesson-design practices, compare those practices against high-quality standards of mathematics lesson design, and develop and use effective lessons that engage students within the mathematics classroom. Part of the Every Student Can Learn Mathematics series, it offers a comprehensive professional learning community (PLC) approach to sustaining deep change in mathematics achievement. The PLC at Work process is one of the best models that schools or districts can use to build a more equitable learning experience for students. Using the four critical questions of a PLC, teams will provide every mathematics student with common learning experiences, opportunities for sustained perseverance, and robust formative feedback. In this second edition, teachers will access new and updated tools to maximize their lesson-planning strategies in mathematics within the PLC framework"--
