Street Mathematics and School Mathematics PDF Download
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Author: Terezinha Nunes
Publisher: Cambridge University Press
ISBN: 9780521388139
Category : Education
Languages : en
Pages : 186
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Book Description
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.
Author: Terezinha Nunes
Publisher: Cambridge University Press
ISBN: 9780521388139
Category : Education
Languages : en
Pages : 186
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Book Description
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.
Author: Sanjoy Mahajan
Publisher: MIT Press
ISBN: 0262265591
Category : Education
Languages : en
Pages : 152
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Book Description
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.
Author: Edna Tan
Publisher: University of Chicago Press
ISBN: 0226037975
Category : Education
Languages : en
Pages : 215
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Book Description
Argues that teachers and schools should create hybrid third spaces--neither classroom nor home--in which underserved students can merge their personal worlds with those of math and science.
Author: Hung-Hsi Wu:
Publisher: American Mathematical Soc.
ISBN: 1470427206
Category : Education
Languages : en
Pages : 407
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Book Description
This is a systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers. It differs from other books for teachers in that the mathematics is correct, in the sense that all the concepts are clearly and correctly defined, and a grade-appropriate explanation (that is, proof) is given for every assertion. For example, it gives a precise definition of percent and explains how to use the definition to do all the standard problems about percent in an entirely routine manner. It also gives a leisurely explanation for “negative times negative is positive”. Another key feature is an intuitive introduction to plane geometry via rotations, translations, reflections, and dilations that, instead of treating these transformations as merely fun activities, shows how they make sense of the usual geometric topics in middle school, including congruence, similarity, length, area, and volume. In short, the readers will find in this volume a clear explanation of whatever was once puzzling to them in the mathematics of grades 5 to 8.
Author: Babette Moeller
Publisher: Corwin Press
ISBN: 1412995213
Category : Education
Languages : en
Pages : 241
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Book Description
"A joint publication with Educational Development Center and Bank Street College of Education."
Author: Hongxi Wu
Publisher: American Mathematical Soc.
ISBN: 0821852604
Category : Education
Languages : en
Pages : 586
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Book Description
This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7. Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for pre-service elementary teachers, it is also a reference book that school teachers can refer to for explanations of well-known but hitherto unexplained facts. For example, the sometimes-puzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.
Author: Edward C. Nolan
Publisher: Solution Tree Press
ISBN: 1942496494
Category : Education
Languages : en
Pages : 231
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Book Description
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
Author: Laura Overdeck
Publisher: Feiwel & Friends
ISBN: 1466848367
Category : Juvenile Nonfiction
Languages : en
Pages : 100
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Book Description
Bedtime Math wants to change the way we introduce math to children: to make math a fun part of kids' everyday lives. We all know it's wonderful to read bedtime stories to kids, but what about doing math? Many generations of Americans are uncomfortable with math and numbers, and too often we hear the phrase, "I'm just not good at math!" For decades, this attitude has trickled down from parents to their kids, and we now have a culture that finds math dry, intimidating, and just not cool. Bedtime Math wants to change all that. Inside this book, families will find fun, mischief-making math problems to tackle—math that isn't just kid-friendly, but actually kid-appealing. With over 100 math riddles on topics from jalapeños and submarines to roller coasters and flamingos, this book bursts with math that looks nothing like school. And with three different levels of challenge (wee ones, little kids, and big kids), there's something for everyone. We can make numbers fun, and change the world, one Bedtime Math puzzle at a time.
Author: Babette Moeller
Publisher: Corwin Press
ISBN: 1452290369
Category : Education
Languages : en
Pages : 265
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Book Description
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
Author: John Hudson Tiner
Publisher: New Leaf Publishing Group
ISBN: 161458155X
Category : Religion
Languages : en
Pages : 159
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Book Description
Numbers surround us. Just try to make it through a day without using any. It's impossible: telephone numbers, calendars, volume settings, shoe sizes, speed limits, weights, street numbers, microwave timers, TV channels, and the list goes on and on. The many advancements and branches of mathematics were developed through the centuries as people encountered problems and relied upon math to solve them. For instance: What timely invention was tampered with by the Caesars and almost perfected by a pope? Why did ten days vanish in September of 1752? How did Queen Victoria shorten the Sunday sermons at chapel? What important invention caused the world to be divided into time zones? What simple math problem caused the Mars Climate Orbiter to burn up in the Martian atmosphere? What common unit of measurement was originally based on the distance from the equator to the North Pole? Does water always boil at 212? Fahrenheit? What do Da Vinci's Last Supper and the Parthenon have in common? Why is a computer glitch called a "bug"? It's amazing how ten simple digits can be used in an endless number of ways to benefit man. The development of these ten digits and their many uses is the fascinating story you hold in your hands: Exploring the World of Mathematics.
