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Mathematical Problem Solving
  • Language: en
  • Pages: 426

Mathematical Problem Solving

  • Type: Book
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  • Published: 2014-06-28
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  • Publisher: Elsevier

This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize ...

Proficiency and Beliefs in Learning and Teaching Mathematics
  • Language: en
  • Pages: 317

Proficiency and Beliefs in Learning and Teaching Mathematics

Efforts to improve mathematics education have led educators and researchers to not only study the nature of proficiency, beliefs, and practices in mathematics learn¬ing and teaching, but also identify and assess possible influences on students’ and teachers’ proficiencies, beliefs, and practices in learning and teaching mathematics. The complexity of these topics has fascinated researchers from various back¬grounds, including psychologists, cognitive or learning scientists, mathematicians, and mathematics educators. Among those researchers, two scholars with a similar background – Alan Schoenfeld in the United States and Günter Törner in Germany, are internationally recognized for ...

How We Think
  • Language: en
  • Pages: 264

How We Think

  • Type: Book
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  • Published: 2010-10-18
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  • Publisher: Routledge

Teachers try to help their students learn. But why do they make the particular teaching choices they do? What resources do they draw upon? What accounts for the success or failure of their efforts? In How We Think, esteemed scholar and mathematician, Alan H. Schoenfeld, proposes a groundbreaking theory and model for how we think and act in the classroom and beyond. Based on thirty years of research on problem solving and teaching, Schoenfeld provides compelling evidence for a concrete approach that describes how teachers, and individuals more generally, navigate their way through in-the-moment decision-making in well-practiced domains. Applying his theoretical model to detailed representations and analyses of teachers at work as well as of professionals outside education, Schoenfeld argues that understanding and recognizing the goal-oriented patterns of our day to day decisions can help identify what makes effective or ineffective behavior in the classroom and beyond.

Mathematical Thinking and Problem Solving
  • Language: en
  • Pages: 303

Mathematical Thinking and Problem Solving

  • Type: Book
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  • Published: 2016-05-06
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  • Publisher: Routledge

In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed ...

Cognitive Science and Mathematics Education
  • Language: en
  • Pages: 316

Cognitive Science and Mathematics Education

  • Type: Book
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  • Published: 2013-04-03
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  • Publisher: Routledge

This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.

Assessing Mathematical Proficiency
  • Language: en
  • Pages: 412

Assessing Mathematical Proficiency

Testing matters! It can determine kids' and schools' futures. In a conference at the Mathematical Sciences Research Institute, mathematicians, maths education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. They examined: the challenges of assessing student learning in ways that support instructional improvement; ethical issues related to assessment, including the impact of testing on urban and high-poverty schools; the different (and sometimes conflicting) needs of the different groups; and different frameworks, tools, and methods for assessment, comparing the kinds of information they offer about students' mathematical proficiency. This volume presents the results of the discussions. It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. A special feature is an interview with a student about his knowledge of fractions and a demonstration of what interviews (versus standardized tests) can reveal.

Holomorphic Vector Fields on Compact KŠhler Manifolds
  • Language: en
  • Pages: 330

Holomorphic Vector Fields on Compact KŠhler Manifolds

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Mathematics Teaching On Target
  • Language: en
  • Pages: 165

Mathematics Teaching On Target

Mathematics Teaching On Target is a guidebook for improving mathematics teaching, based on the Teaching for Robust Understanding (TRU) Framework and its five dimensions – The Mathematics, Cognitive Demand, Equitable Access, Agency, Ownership, and Identity, and Formative Assessment. You’ll be guided to refine your classroom activities across the five TRU dimensions, and your students will become more knowledgeable and resourceful thinkers and problem solvers. Each chapter in Mathematics Teaching On Target introduces a set of easy-to-use questions for the hands-on improvement of lesson activities, such as: Think of an activity you use with your students. Is it as mathematically rich as it ...

Thriving at College
  • Language: en
  • Pages: 366

Thriving at College

Going to college can be exciting, anxiety inducing, and expensive! You want your child to get the most out of their college experience—what advice do you give? Thriving at College by Alex Chediak is the perfect gift for a college student or a soon-to-be college student. Filled with wisdom and practical advice from a seasoned college professor and student mentor, Thriving at College covers the ten most common mistakes that college students make—and how to avoid them! Alex leaves no stone unturned—he discusses everything from choosing a major and discerning one’s vocation to balancing academics and fun, from cultivating relationships with peers and professors to helping students figure out what to do with their summers. Most importantly, this book will help students not only keep their faith but build a vibrant faith and become the person God created them to be.

Research in Collegiate Mathematics Education III
  • Language: en
  • Pages: 330

Research in Collegiate Mathematics Education III

Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.