Developing Deep Knowledge in Middle School Mathematics PDF Download

Author: Sergei Abramovich
Publisher: Springer Nature
ISBN: 3030685640
Category : Education
Languages : en
Pages : 451

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Book Description
This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

Author: John A. Van de Walle
Publisher: Allyn & Bacon
ISBN:
Category : Education
Languages : en
Pages : 624

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Book Description
This leading K-8 math methods book has the most coverage of the NCTM standards, the strongest coverage of middle school mathematics, and the highest student approval of any math methods book currently available. Elementary and Middle School Mathematics provides an unparalleled depth of ideas and discussion to help readers develop a real understanding of the mathematics they teach. John Van de Walle, one of the foremost experts on how children learn mathematics, finds that 80 percent of the students who purchase this book keep it for reference when they begin their professional teaching careers. This book reflects the NCTM Principles and Standards and the benefits of constructivist-or student-centered-mathematics instruction. Improvements for the sixth edition include sections on planning for a diverse classroom and a completely new section addressing planning in a classroom where there are English language learners.

Author: Sarah B. Bush
Publisher: Corwin Press
ISBN: 1544399588
Category : Education
Languages : en
Pages : 165

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Book Description
A schoolwide solution for students’ mathematics success! Do you sometimes start to teach a mathematics concept and feel like you’re staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, you’ll learn to avoid "rules that expire"—tricks that may seem to help students in one grade but hurt in the long run. Features of this book include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · Practical templates and checklists · PLC prompts and discussion points When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics!

Author: Arthur A. Hyde
Publisher: Heinemann Educational Books
ISBN:
Category : Mathematics
Languages : en
Pages : 288

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Book Description
Imagine handling students state-by-state data on the number of gallons of soft drinks sold per person in one year. Imagine using it to lead a vibrant problem-solving session in which students energetically pose and answer mathematical questions: Why does it say sold instead of consumed? What is a soft drink? Is it the same as a soda? Who would collect this kind of data? Why would they collect it? How was gallons per person calculated? What was the total amount of soda sold in our state? How many 12-ounce cans is that? 20-ounce bottles? How many of each per person? Understanding Middle School Math gathers 50 cool problems like this that lead to deep thinking. Problems such as the Renovation Problem, in which students uncover ideas about how perimeter, area, length, and cost affect a construction project. Or Chocolate Algebra, where they discover linear relationships among the pocket money available to buy two differently priced chocolate candies. Arthur Hyde combines the latest research and decades of classroom experience to braid language, cognition, and math. His approach can help any student, including underprepared ones, with the rigors of math in middle school and beyond. He has created and adapted problems that strongly connect math to the real world, to students lives, and to prior knowledge. Problems that scaffold content and processes, and give students multiple entry points into learning. Every problem has been extensively field tested and refined by classroom teachers. And for each cool problem practicing middle school teachers describe how they used it to differentiate over a wide range of students and extend learning. For fantastic problems your students won't soon forget and teaching solutions that are exciting, substantial, and transformative, turn to Art Hyde. Read and use Understanding Middle School Math and pass your love of math on as you meet your classroom goals.

Author: Karen S. Karp
Publisher: Corwin Press
ISBN: 1544399529
Category : Education
Languages : en
Pages : 167

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Book Description
A school-wide solution for students’ mathematics success! Do you sometimes start to teach a mathematics concept and feel like you’re staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, you’ll learn to avoid "rules that expire"—tricks that may seem to help students in one grade but hurt in the long run. Features of this book include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · Practical templates and checklists · PLC prompts and discussion points When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics!

Author: Concepcion Molina
Publisher: John Wiley & Sons
ISBN: 1118237021
Category : Education
Languages : en
Pages : 304

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Book Description
Teaching K-12 math becomes an easier task when everyoneunderstands the language, symbolism, and representation of mathconcepts Published in partnership with SEDL, The Problem with Math IsEnglish illustrates how students often understand fundamentalmathematical concepts at a superficial level. Written to inspire?aha? moments, this book enables teachers to help students identifyand comprehend the nuances and true meaning of math concepts byexploring them through the lenses of language and symbolism,delving into such essential topics as multiplication, division,fractions, place value, proportional reasoning, graphs, slope,order of operations, and the distributive property. Offers a new way to approach teaching math content in a waythat will improve how all students, and especially English languagelearners, understand math Emphasizes major attributes of conceptual understanding inmathematics, including simple yet deep definitions of key terms,connections among key topics, and insightful interpretation This important new book fills a gap in math education byillustrating how a deeper knowledge of math concepts can bedeveloped in all students through a focus on language andsymbolism.

Author:
Publisher:
ISBN: 9781680540444
Category : Mathematics
Languages : en
Pages :

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Book Description
"Catalyzing Change in Middle School Mathematics calls for all stakeholders involved in the teaching of mathematics to middle school students to critically examine the following: The identity and agency of students in middle school by being developmentally responsive while also creating and supporting a learning environment that takes into account each and every student's unique background, experience, cultural perspectives, traditions, and knowledge The inequitable structures in middle school mathematics, such as student tracking and ability grouping as well as teacher tracking, and eliminating those structures that impede students' agency and identity as capable learners and doers of mathematics Mathematics instructional practices that are equitable and attend to students as developing young adolescents, ensuring that each and every student has access to a high-quality mathematics program. How middle schools should build from a strong foundation of mathematics developed in the elementary grades, deeply engage students in the important mathematical ideas of the middle grades, and prepare students for their continued mathematics journey in high school and beyond"--

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309067979
Category : Education
Languages : en
Pages : 271

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Book Description
In September 1998, the Math Science Education Board National held a Convocation on Middle Grades Mathematics that was co-sponsored by the National Council of Teachers of Mathematics, the National Middle School Association, and the American Educational Research Association. The Convocation was structured to present the teaching of middle school mathematics from two points of view: teaching mathematics with a focus on the subject matter content or teaching mathematics with a focus on the whole child and whole curriculum. This book discusses the challenges before the nation's mathematical sciences community to focus its energy on the improvement of middle grades mathematics education and to begin an ongoing national dialogue on middle grades mathematics education.

Author: Bob Sornson
Publisher: Teacher Created Materials
ISBN: 1425895875
Category : Education
Languages : en
Pages : 168

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Book Description
Support and assess the learning of essential skills needed for students' mathematics success! Created to support College and Career Readiness and other state standards, this resource is a great tool for educators. This must-have professional book allows teachers to systematically monitor students' progress toward proficiency in every essential skill. The 250 activities provide a rich menu of math learning experiences, which includes the use of manipulatives, activities, exploration, inquiry, and play. Digital resources are also provided and include student activity pages and teacher resources.

Author: Shuhua An
Publisher:
ISBN: 9780981996646
Category :
Languages : en
Pages :

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Book Description
This book is designed for elementary and middle school mathematics methods courses and for K-8 mathematics teacher professional development programs. It describes a new cognitive mathematics teaching and learning method: Model-Strategy-Application (MSA) approach. The aim of this book is to help pre-service and in-service teachers develop deep pedagogical content knowledge in a structured and systematic manner, and supports them in teaching mathematics and assessing student thinking effectively. The book focuses on developing students' mathematics proficiency in the three components of conceptual understanding, procedural fluency, and competence in word problem solving through the MSA approach in every content area. To help students learn a mathematics concept with deep understanding, a variety of concrete or visual models are developed to address the mathematics concept; to build fluency in procedure and computation corresponding to the concept, various computational strategies including basic and specific techniques are developed; to learn how to apply the conceptual understanding and strategies to word problem solving, applications of different types and levels of word problems are introduced.