The Number Line Through Guided Inquiry
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The Number Line Through Guided Inquiry
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Author : David Michael Clark
language : en
Publisher: MAA Press
Release Date : 2022
The Number Line Through Guided Inquiry written by David Michael Clark and has been published by MAA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Electronic books categories.
The Number Line Through Guided Inquiry
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Author : David M. Clark
language : en
Publisher: American Mathematical Society
Release Date : 2021-12-10
The Number Line Through Guided Inquiry written by David M. Clark and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-10 with Mathematics categories.
The Number Line through Guided Inquiry is designed to give future secondary teachers a deep understanding of the real numbers and functions on the reals. By presenting just that part of the subject that underlies the high school curriculum, this book offers an alternative to a standard real analysis sequence for advanced undergraduate or beginning graduate students. It will give any student a much deeper understanding of the mathematics that they were taught in high school. Written in a guided-inquiry format, this book consists of a carefully scaffolded sequence of definitions, problems, and theorems that guides students through each topic. Readers solve the problems and prove the theorems on their own and present their results to their peers with the instructor as a mentor and a guide. Students will learn not only the mathematics, but also how to help others learn mathematics. They will learn to think creatively and to make compelling arguments to justify their conclusions. They will learn to listen critically to others and give constructive feedback. Ultimately, they will learn to work as a team to answer the bigger questions and build a common understanding of the broader subject.
A Full Axiomatic Development Of High School Geometry
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Author : David M. Clark
language : en
Publisher: Springer Nature
Release Date : 2023-02-13
A Full Axiomatic Development Of High School Geometry written by David M. Clark and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-13 with Mathematics categories.
This textbook provides a full and complete axiomatic development of exactly that part of plane Euclidean geometry that forms the standard content of high school geometry. It begins with a set of points, a measure of distance between pairs of points and ten simple axioms. From there the notions of length, area and angle measure, along with congruence and similarity, are carefully defined and their properties proven as theorems. It concludes with a proof of the consistency of the axioms used and a full description of their models. It is provided in guided inquiry (inquiry-based) format with the intention that students will be active learners, proving the theorems and presenting their proofs to their class with the instructor as a mentor and a guide. The book is written for graduate and advanced undergraduate students interested in teaching secondary school mathematics, for pure math majors interested in learning about the foundations of geometry, for faculty preparing future secondary school teachers and as a reference for any professional mathematician. It is written with the hope of anchoring K-12 geometry in solid modern mathematics, thereby fortifying the teaching of secondary and tertiary geometry with a deep understanding of the subject.
Euclidean Geometry
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Author : David M. Clark
language : en
Publisher: American Mathematical Soc.
Release Date :
Euclidean Geometry written by David M. Clark and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Learning Progressions In Science
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Author : Alicia C. Alonzo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-30
Learning Progressions In Science written by Alicia C. Alonzo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-30 with Education categories.
Learning progressions – descriptions of increasingly sophisticated ways of thinking about or understanding a topic (National Research Council, 2007) – represent a promising framework for developing organized curricula and meaningful assessments in science. In addition, well-grounded learning progressions may allow for coherence between cognitive models of how understanding develops in a given domain, classroom instruction, professional development, and classroom and large-scale assessments. Because of the promise that learning progressions hold for bringing organization and structure to often disconnected views of how to teach and assess science, they are rapidly gaining popularity in the science education community. However, there are signi?cant challenges faced by all engaged in this work. In June 2009, science education researchers and practitioners, as well as scientists, psychometricians, and assessment specialists convened to discuss these challenges as part of the Learning Progressions in Science (LeaPS) conference. The LeaPS conference provided a structured forum for considering design decisions entailed in four aspects of work on learning progressions: de?ning learning progressions; developing assessments to elicit student responses relative to learning progressions; modeling and interpreting student performance with respect to a learning progressions; and using learning progressions to in?uence standards, curricula, and teacher education. This book presents speci?c examples of learning progression work and syntheses of ideas from these examples and discussions at the LeaPS conference.
Rethinking Disability And Mathematics
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Author : Rachel Lambert
language : en
Publisher: Corwin Press
Release Date : 2024-04-08
Rethinking Disability And Mathematics written by Rachel Lambert and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-08 with Education categories.
Every child has a right to make sense of math, and to use math to make sense of their worlds. Despite their gifts, students with disabilities are often viewed from a deficit standpoint in mathematics classrooms. These students are often conceptualized as needing to be fixed or remediated. Rethinking Disability and Mathematics argues that mathematics should be a transformative space for these students, a place where they can discover their power and potential and be appreciated for their many strengths. Author Rachel Lambert introduces Universal Design for Learning for Math (UDL Math), a way to design math classrooms that empowers disabled and neurodiverse students to engage in mathematics in ways that lead to meaningful and joyful math learning. The book showcases how UDL Math can open up mathematics classrooms so that they provide access to meaningful understanding and an identity as a math learner to a wider range of students. Weaved throughout the book are the voices of neurodiverse learners telling their own stories of math learning. Through stories of real teachers recognizing the barriers in their own math classrooms and redesigning to increase access, the book: Reframes students with disabilities from a deficit to an asset perspective, paving the way for trusting their mathematical thinking Offers equitable math instruction for all learners, including those with disabilities, neurodiverse students, and/or multilingual learners Applies UDL to the math classroom, providing practical tips and techniques to support students′ cognitive, affective, and strategic development Immerses readers in math classrooms where all students are engaged in meaningful mathematics, from special education day classes to inclusive general education classrooms, from grades K-8. Integrates research on mathematical learning including critical math content such as developing number sense and place value, fluency with math facts and operations, and understanding fractions and algebraic thinking. Explores critical issues such as writing IEP goals in math This book is designed for all math educators, both those trained as general education teachers and those trained as special education teachers. The UDL Math approach is adapted to work for all learners because everyone varies in how they perceive the world and in how they approach mathematical problem solving. When we rethink mathematics to include multiple ways of being a math learner, we make math accessible and engaging for a wider group of learners.
Number Theory Through Inquiry
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Author : David C. Marshall
language : en
Publisher: MAA
Release Date : 2007
Number Theory Through Inquiry written by David C. Marshall and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Education categories.
Number Theory Through Inquiry; is an innovative textbook that leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. One goal is to help students develop mathematical thinking skills, particularly, theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for an independent study experience, or for a course designed as an introduction to abstract mathematics. Math or related majors, future teachers, and students or adults interested in exploring mathematical ideas on their own will enjoy; Number Theory Through Inquiry; Number theory is the perfect topic for an introduction-to-proofs course. Every college student is familiar with basic properties of numbers, and yet the exploration of those familiar numbers leads us to a rich landscape of ideas. Number Theory Through Inquiry contains a carefully arranged sequence of challenges that lead students to discover ideas about numbers and to discover methods of proof on their own. It is designed to be used with an instructional technique variously called guided discovery or Modified Moore Method or Inquiry Based Learning (IBL). Instructors materials explain the instructional method. This style of instruction gives students a totally different experience compared to a standard lecture course. Here is the effect of this experience: Students learn to think independently: they learn to depend on their own reasoning to determine right from wrong; and theydevelop the central, important ideas of introductory number theory on their own. From that experience, they learn that they can personally create important ideas. They develop an attitude of personal reliance and a sense that they can think effectively about difficult problems. These goals are fundamental to the educational enterprise within and beyond mathematics.
Transformation Of Knowledge Through Classroom Interaction
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Author : Baruch Schwarz
language : en
Publisher: Routledge
Release Date : 2009-05-07
Transformation Of Knowledge Through Classroom Interaction written by Baruch Schwarz and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-07 with Education categories.
Transformation of Knowledge through Classroom Interaction examines and evaluates different ways which have been used to support students learning in classrooms.
Guided Inquiry Design
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Author : Carol C. Kuhlthau
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2012-06-06
Guided Inquiry Design written by Carol C. Kuhlthau and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-06 with Education categories.
Today's students need to be fully prepared for successful learning and living in the information age. This book provides a practical, flexible framework for designing Guided Inquiry that helps achieve that goal. Guided Inquiry prepares today's learners for an uncertain future by providing the education that enables them to make meaning of myriad sources of information in a rapidly evolving world. The companion book, Guided Inquiry: Learning in the 21st Century, explains what Guided Inquiry is and why it is now essential now. This book, Guided Inquiry Design: A Framework for Inquiry in Your School, explains how to do it. The first three chapters provide an overview of the Guided Inquiry design framework, identify the eight phases of the Guided Inquiry process, summarize the research that grounds Guided Inquiry, and describe the five tools of inquiry that are essential to implementation. The following chapters detail the eight phases in the Guided Inquiry design process, providing examples at all levels from pre-K through 12th grade and concluding with recommendations for building Guided Inquiry in your school. The book is for pre-K–12 teachers, school librarians, and principals who are interested in and actively designing an inquiry approach to curricular learning that incorporates a wide range of resources from the library, the Internet, and the community. Staff of community resources, museum educators, and public librarians will also find the book useful for achieving student learning goals.
The Learning Framework In Number
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Author : Robert J Wright
language : en
Publisher: SAGE
Release Date : 2018-03-12
The Learning Framework In Number written by Robert J Wright and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-12 with Juvenile Nonfiction categories.
This latest book in the bestselling Mathematics Recovery series gives mathematics educators a complete research-based framework for assessment, instruction and intervention in whole number arithmetic over the first 5-6 years of school.