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Proficiency and Beliefs in Learning and Teaching Mathematics
  • Language: en
  • Pages: 310

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 ...

Beliefs: A Hidden Variable in Mathematics Education?
  • Language: en
  • Pages: 367

Beliefs: A Hidden Variable in Mathematics Education?

This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.

Examining the Phenomenon of “Teaching Out-of-field”
  • Language: en
  • Pages: 327

Examining the Phenomenon of “Teaching Out-of-field”

  • Type: Book
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  • Published: 2019-01-01
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  • Publisher: Springer

This book identifies and surveys the major themes around ‘out-of-field teaching’, that is, teaching subjects or year levels without a specialization. This has been an issue in many countries for some time, yet until recently there has been little formal research and poor policy responses to related problems. This book arises out of collaborations between members of an international group of researchers and practitioners from Australia, Germany, Ireland, England, South Africa, Indonesia and the United States. Cross-national comparisons of ideas through case studies, descriptions of practice and research data interrogates the experiences, practices, and contexts relating to out-of-field teaching. In particular, the book considers the phenomenon of out-of-field teaching in relation to national policy contexts, local school leadership practices, professional development. The book represents an essential contribution on a highly topical issue that has implications for quality and equitable education around the globe.

Proceedings of the 13th International Congress on Mathematical Education
  • Language: en
  • Pages: 735

Proceedings of the 13th International Congress on Mathematical Education

  • Type: Book
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  • Published: 2017-10-31
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  • Publisher: Springer

This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German...

Mathematics & Mathematics Education: Searching for Common Ground
  • Language: en
  • Pages: 385

Mathematics & Mathematics Education: Searching for Common Ground

This book is the fruit of a symposium in honor of Ted Eisenberg concerning the growing divide between the mathematics community and the mathematics education community, a divide that is clearly unhealthy for both. The work confronts this disturbing gap by considering the nature of the relationship between mathematics education and mathematics, and by examining areas of commonality as well as disagreement. It seeks to provide insight into the mutual benefit both stand to gain by building bridges based on the natural bonds between them.

MasterClass in Mathematics Education
  • Language: en
  • Pages: 435

MasterClass in Mathematics Education

MasterClass in Mathematics Education provides accessible links between theory and practice and encourages readers to reflect on their own understanding of their teaching context. Each chapter, written by an internationally respected authority, explores the key concepts within the selected area of the field, drawing directly on published research to encourage readers to reflect on the content, ideas and ongoing debates. Using international case studies, each chapter will encourage readers to think about ways that the teaching and learning of mathematics reflect different cultural traditions and expectations and enable them to evaluate effective strategies for their own contexts.

Teaching and Learning of Calculus
  • Language: en
  • Pages: 44

Teaching and Learning of Calculus

  • Type: Book
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  • Published: 2016-06-14
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  • Publisher: Springer

This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

Views and Beliefs in Mathematics Education
  • Language: en
  • Pages: 249

Views and Beliefs in Mathematics Education

  • Type: Book
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  • Published: 2018-12-14
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  • Publisher: Springer

The book is made up of 21 chapters from 25 presentations at the 23rd MAVI conference in Essen, which featured Alan Schoenfeld as keynote speaker. Of major interest to MAVI participants is the relationship between teachers’ professed beliefs and classroom practice. The first section is dedicated to classroom practices and beliefs regarding those practices, taking a look at prospective or practicing teachers’ views of different practices such as decision-making, the roles of explanations, problem-solving, patterning, and the use of play. The focus of the second section in this book deals with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. The third section of this book centers on the undercurrents of teaching and learning mathematics, what rises in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research. In this section, papers discuss attitudes towards assessment.

Beliefs and Mathematics
  • Language: en
  • Pages: 272

Beliefs and Mathematics

  • Type: Book
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  • Published: 2007-12-01
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  • Publisher: IAP

Beliefs and Mathematics is a Festschrift honoring the contributions of Günter Törner to mathematics education and mathematics. Mathematics Education as a legitimate area of research emerged from the initiatives of well known mathematicians of the last century such as Felix Klein and Hans Freudenthal. Today there is an increasing schism between researchers in mathematics education and those in mathematics as evidenced in the Math wars in the U.S and other parts of the world. Günter Törner represents an international voice of reason, well respected and known in both groups, one who has successfully bridged and worked in both domains for three decades. His contributions in the domain of bel...

Abelian Groups and Modules
  • Language: en
  • Pages: 434

Abelian Groups and Modules

  • Type: Book
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  • Published: 1996-08-16
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  • Publisher: CRC Press

Contains the proceedings of an international conference on abelian groups and modules held recently in Colorado Springs. Presents the latest developments in abelian groups that have facilitated cross-fertilization of new techniques from diverse areas such as the representation theory of posets, model theory, set theory, and module theory.