mathematical reasoning patterns problems conjectures and proofs

Download Book Mathematical Reasoning Patterns Problems Conjectures And Proofs in PDF format. You can Read Online Mathematical Reasoning Patterns Problems Conjectures And Proofs here in PDF, EPUB, Mobi or Docx formats.

Mathematical Reasoning

Author : Raymond Nickerson
ISBN : 9781136945397
Genre : Psychology
File Size : 73. 77 MB
Format : PDF, Mobi
Download : 553
Read : 751

Get This Book


The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores a vast range of psychological questions related to mathematical cognition, and provides fascinating insights for researchers and students of cognition and instructors of mathematics.

Broadening The Scope Of Research On Mathematical Problem Solving

Author : Nélia Amado
ISBN : 9783319998619
Genre : Education
File Size : 30. 96 MB
Format : PDF, Kindle
Download : 401
Read : 1112

Get This Book


The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.

Benjamin S Bloom

Author : Thomas R. Guskey
ISBN : 9781610486033
Genre : Education
File Size : 41. 83 MB
Format : PDF
Download : 137
Read : 322

Get This Book


Few individuals in the history of education have had greater impact on educational policy and practice than Benjamin S. Bloom. Benjamin Bloom's stories are touching remembrances that offer special insight into his uniqueness as a preeminent scholar, colleague, mentor, and friend. This book is a collection of these stories, with brief reviews of some of Bloom's major professional contributions.

Business Intelligence Concepts Methodologies Tools And Applications

Author : Management Association, Information Resources
ISBN : 9781466695634
Genre : Computers
File Size : 49. 74 MB
Format : PDF, Docs
Download : 911
Read : 611

Get This Book


Data analysis is an important part of modern business administration, as efficient compilation of information allows managers and business leaders to make the best decisions for the financial solvency of their organizations. Understanding the use of analytics, reporting, and data mining in everyday business environments is imperative to the success of modern businesses. Business Intelligence: Concepts, Methodologies, Tools, and Applications presents a comprehensive examination of business data analytics along with case studies and practical applications for businesses in a variety of fields and corporate arenas. Focusing on topics and issues such as critical success factors, technology adaptation, agile development approaches, fuzzy logic tools, and best practices in business process management, this multivolume reference is of particular use to business analysts, investors, corporate managers, and entrepreneurs in a variety of prominent industries.

Designing Patterns

Author :
ISBN : UVA:X030262845
Genre : Education
File Size : 30. 41 MB
Format : PDF, Kindle
Download : 467
Read : 892

Get This Book


In this module designed for grades three to five, students design patterns to be used in a headdress or similar linear strip. They explore properties of shapes, lines of symmetry, and part-to-part and part-to-whole relationships. The module provides numerous opportunities for the teacher to extend and adapt this curriculum, from further explorations of fractions to Yup'ik cultural knowledge. About the Series Math in a Cultural Context This series is a supplemental math curriculum based on the traditional wisdom and practices of the Yup'ik people of southwest Alaska. The result of more than a decade of collaboration between math educators and Yup'ik elders, these modules connect cultural knowledge to school mathematics. Students are challenged to communicate and think mathematically as they solve inquiry-oriented problems, which require creative, practical and analytical thinking. Classroom-based research strongly suggests that students engaged in this curriculum can develop deeper mathematical understandings than students who engage only with a procedure-oriented, paper-and-pencil curriculum.

Appraising Lakatos

Author : György Kampis
ISBN : 9789401707695
Genre : Science
File Size : 84. 74 MB
Format : PDF
Download : 973
Read : 402

Get This Book


Imre Lakatos (1922-1974) was one of the protagonists in shaping the "new philosophy of science". More than 25 years after his untimely death, it is time for a critical re-evaluation of his ideas. His main theme of locating rationality within the scientific process appears even more compelling today, after many historical case studies have revealed the cultural and societal elements within scientific practices. Recently there has been, above all, an increasing interest in Lakatos' philosophy of mathematics, which emphasises heuristics and mathematical practice over logical justification. But suitable modifications of his approach are called for in order to make it applicable to modern axiomatised theories. Pioneering historical research in England and Hungary has unearthed hitherto unknown facts about Lakatos' personal life, his wartime activities and his involvement in the political developments of post-war Europe. From a communist activist committed to Györgyi Lukács' thinking, Lakatos developed into a staunch anti-Marxist who found his intellectual background in Popper's critical rationalism. The volume also publishes for the first time a part of his Debrecen Ph.D. thesis and it is concluded by a bibliography of his Hungarian writings.

Literature Based Teaching In The Content Areas

Author : Carole Cox
ISBN : 9781452237619
Genre : Education
File Size : 39. 2 MB
Format : PDF, ePub, Mobi
Download : 883
Read : 631

Get This Book


Grounded in theory and best-practices research, this practical text provides teachers with 40 strategies for using fiction and non-fiction trade books to teach in five key content areas: language arts and reading, social studies, mathematics, science, and the arts. Each strategy provides everything a teacher needs to get started: a classroom example that models the strategy, a research-based rationale, relevant content standards, suggested books, reader-response questions and prompts, assessment ideas, examples of how to adapt the strategy for different grade levels (K–2, 3–5, and 6–8), and ideas for differentiating instruction for English language learners and struggling students. Throughout the book, student work samples and classroom vignettes bring the content to life.

Mathematics And Plausible Reasoning Patterns Of Plausible Inference

Author : George Pólya
ISBN : 069102510X
Genre : Mathematics
File Size : 70. 2 MB
Format : PDF, ePub, Docs
Download : 954
Read : 468

Get This Book


A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. II, on Patterns of Plausible Inference, attempts to develop a logic of plausibility. What makes some evidence stronger and some weaker? How does one seek evidence that will make a suspected truth more probable? These questions involve philosophy and psychology as well as mathematics.

Teaching And Learning Proof Across The Grades

Author : Despina A. Stylianou
ISBN : 9781135856755
Genre : Education
File Size : 89. 3 MB
Format : PDF, ePub, Mobi
Download : 219
Read : 1332

Get This Book


A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.

A Fresh Start For Collegiate Mathematics

Author : Nancy Baxter Hastings
ISBN : 0883851792
Genre : Mathematics
File Size : 44. 83 MB
Format : PDF, Docs
Download : 501
Read : 533

Get This Book


Each year, over 1,000,000 students take college-level courses below calculus such as precalculus, college algebra and others that fulfill general education requirements. Most college algebra courses, and certainly all precalculus courses, were originally intended to prepare students for calculus. Most are still offered in this spirit, even though only a small percentage of students have any intention of taking calculus. This volume examines how the courses below calculus might be refocused to provide better mathematical experiences for all students. This initiative involves a greater emphasis on conceptual understanding with a de-emphasizing on rote manipulation. It encourages the use of realistic applications, math modeling and data analysis that reflect the ways mathematics is used in other disciplines. It promotes the use of active learning approaches, including group work, exploratory activities and projects. It emphasizes communication skills: reading, writing, presenting and listening. It endorses the appropriate use of technology to enhance conceptual understanding, visualization, and to enable students to tackle real-world problems.The 49 papers in this volume seek to focus attention on the problems and needs of the courses and to provide guidance to the mathematics community. Major themes include: new visions for introductory collegiate mathematics, transition from high school to college, needs of other disciplines, research on student learning, implementation issues, and ideas and projects that work.

Top Download:

Best Books