Building Thinking Classrooms in Mathematics, Grades K-12

Building Thinking Classrooms in Mathematics, Grades K-12 PDF

Author: Peter Liljedahl

Publisher: Corwin Press

Published: 2020-09-28

Total Pages: 454

ISBN-13: 1544374844

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A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Teaching Mathematics through Problem-Solving in K–12 Classrooms

Teaching Mathematics through Problem-Solving in K–12 Classrooms PDF

Author: Matthew Oldridge

Publisher: Rowman & Littlefield

Published: 2018-10-31

Total Pages: 135

ISBN-13: 1475843348

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“Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.

Enhancing University Mathematics

Enhancing University Mathematics PDF

Author: Ki-hyŏng Ko

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 244

ISBN-13: 9780821841945

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The book deals with teaching mathematics, a core activity of the contemporary university. It is suitable for the library of every university and mathematician. It features a broad range of topics (technology, pedagogy, philosophy, course content) of interest and value to all who teach university mathematics. This is one of the few books dealing with this essential subject.

Research and Development in University Mathematics Education

Research and Development in University Mathematics Education PDF

Author: Viviane Durand-Guerrier

Publisher: Routledge

Published: 2021-04-16

Total Pages: 244

ISBN-13: 1000369285

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In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Learning and Understanding

Learning and Understanding PDF

Author: National Research Council

Publisher: National Academies Press

Published: 2002-08-06

Total Pages: 588

ISBN-13: 030917080X

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This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.

Improving Applied Mathematics Education

Improving Applied Mathematics Education PDF

Author: Ron Buckmire

Publisher: Springer Nature

Published: 2021-03-18

Total Pages: 94

ISBN-13: 3030617173

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This book presents various contemporary topics in applied mathematics education and addresses both interested undergraduate instructors and STEM education researchers. The diverse set of topics of this edited volume range from analyzing the demographics of the United States mathematics community, discussing the teaching of calculus using modern tools, engaging students to use applied mathematics to learn about and solve problems of global significance, developing a general education course for humanities and social sciences students that features applications of mathematics, and describing local mathematical modeling competitions and their use in providing authentic experiences for students in applying mathematics to real world situations. The authors represent diversity along multiple dimensions of difference: race, gender, institutional affiliation, and professional experience.

Increasing the Competitive Edge in Math and Science

Increasing the Competitive Edge in Math and Science PDF

Author: Janet S. Kettlewell

Publisher: R&L Education

Published: 2009-02-16

Total Pages: 226

ISBN-13: 1607090155

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The U. S. is losing its competitive edge in science, technology, engineering, and mathematics (STEM). Thomas Friedman warns that America is not producing enough young people in STEM fields that are essential for entrepreneurship and innovation in the 21st century (The World Is Flat: A Brief History of the Twenty-First Century, 2005). Blue ribbon commissions and influential business and national leaders have issued reports on the seriousness of the situation but little collective effort has been made to advance solutions to the STEM crisis. Increasing the Competitive Edge in Math and Science lays out actions that can be taken by K-12 teachers and administrators, by higher education faculty and administrators, and by policy makers working collaboratively in school through college (K-16) partnerships to prepare American youth for meaningful participation in the twenty-first century science and technologically-based economy. If the steps described in this book are followed in states all across the Country, the resulting actions can help America to regain its competitive edge in science and mathematics.

Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software

Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software PDF

Author: Habre, Samer

Publisher: IGI Global

Published: 2013-05-31

Total Pages: 298

ISBN-13: 1466640510

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Mathematics is, by its very nature, an abstract discipline. However, many students learn best by thinking in terms of tangible constructs. Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software brings these conflicting viewpoints together by offering visual representations as a method of mathematics instruction. The book explores the role of technology in providing access to multiple representations of concepts, using software applications to create a rich environment in which a student’s understanding of mathematical concepts can flourish. Both students and instructors of mathematics at the university level will use this book to implement various novel techniques for the delivery of mathematical concepts in their classrooms. This book is part of the Research Essential collection.

Enhancing Primary Mathematics Teaching

Enhancing Primary Mathematics Teaching PDF

Author: Thompson, Ian

Publisher: McGraw-Hill Education (UK)

Published: 2003-09-01

Total Pages: 229

ISBN-13: 0335213758

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Click on the link below to access this title as an e-book. Please note that you may require an Athens account.

Whole Class Mathematics Discussions

Whole Class Mathematics Discussions PDF

Author: Teruni Lamberg

Publisher: Allyn & Bacon

Published: 2013

Total Pages: 0

ISBN-13: 9780132117333

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Filled with research-based ideas, practical strategies and tools, this book and the accompanying website supports teachers in facilitating effective whole class discussions to enhance K-8 students' mathematical understanding.