During the past 40 years, mathematical music theory has grown and developed in both the fields of music and mathematics. In music pedagogy, the need to analyze patterns of modern composition has produced Musical Set Theory, and the use of Group Theory and other modern mathematical structures have become almost as common as the application of mathematics in the fields of engineering or chemistry. Mathematicians have been developing stimulating ideas when exploring mathematical applications to established musical relations. Mathematics students have seen in Music in Mathematics courses, how their accumulated knowledge of abstract ideas can be applied to an important human activity while reinforcing their dexterity in Mathematics. Similarly, new general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. Mathematical Music Theorists have also been developing exciting, creative courses for high school teachers and students of mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain.
The objective of this volume is to share the motivation and content of some of these exciting, new Mathematical Theory and Music in Mathematics courses while contributing concrete materials to interested readers.
Автор: Jonathan D. Bostic, Erin E. Krupa, Jeffrey C. Shih Название: Assessment in Mathematics Education Contexts: Theoretical Frameworks and New Directions ISBN: 1138598712 ISBN-13(EAN): 9781138598713 Издательство: Taylor&Francis Рейтинг: Цена: 148010.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Including chapters addressing a variety of established and budding areas within assessment and evaluation in mathematics education contexts, this book brings fundamental issues together with new areas of application.
Автор: de Freitas Elizabeth, Walshaw Margaret Название: Alternative Theoretical Frameworks for Mathematics Education Research: Theory Meets Data ISBN: 3319816403 ISBN-13(EAN): 9783319816401 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book explicates some of the fundamental philosophical tenets underpinning key theoretical frameworks, and demonstrates how these tenets inform particular kinds of research practice in mathematics education research.
This book explicates some of the fundamental philosophical tenets underpinning key theoretical frameworks, and demonstrates how these tenets inform particular kinds of research practice in mathematics education research. We believe that a deep understanding of significant theories from the humanities and social sciences is crucial for doing high-quality research in education. For that reason, this book focuses on six key theoretical sources, unpacking their relevance and application to specific research examples.
We situate these key theorists within a larger framework pertaining to the history of thought more generally, and discuss how competing theories of teaching and learning differ in terms of their philosophical assumptions. In so doing, we offer context and motivation for particular research methods, with the agenda of helping researchers reflect on why particular approaches and not others might work for them.
Автор: Edna O. Schack; Molly H. Fisher; Jennifer A. Wilhe Название: Teacher Noticing: Bridging and Broadening Perspectives, Contexts, and Frameworks ISBN: 3319835777 ISBN-13(EAN): 9783319835778 Издательство: Springer Рейтинг: Цена: 204970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book reflects on the continuing development of teacher noticing through an exploration of the latest research. The authors and editors seek to clarify the construct of teacher noticing and its related branches and respond to challenges brought forth in earlier research.
Автор: Schwartz J & Kenney J Название: Tasks and Rubrics for Balanced Mathematics Assessment in Primary and Elementary Grades ISBN: 1412957303 ISBN-13(EAN): 9781412957304 Издательство: Sage Publications Рейтинг: Цена: 68640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This comprehensive, research-based book helps teachers use standards-linked assessments to collect accurate formative data about students` strengths and weaknesses and increase mathematical understandings for all learners.
Автор: Kaur Berinderjeet & Wong Khoon Yoong Название: Assessment In The Mathematics Classroom: Yearbook 2011, Association Of Mathematics Educators ISBN: 981436097X ISBN-13(EAN): 9789814360975 Издательство: World Scientific Publishing Рейтинг: Цена: 64410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Intends to encourage teachers and researchers to include assessment of non-cognitive attributes and to use techniques in addition to paper-and-pencil tests that focus on typical problems. This book illustrates evidence-based practices that school teachers and researchers can experiment in their lessons to bring about meaningful learning outcomes.
Автор: Schwartz J & Kenney J Название: Tasks and Rubrics for Balanced Mathematics Assessment in Primary and Elementary Grades ISBN: 1412957311 ISBN-13(EAN): 9781412957311 Издательство: Sage Publications Рейтинг: Цена: 34840.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This comprehensive, research-based book helps teachers use standards-linked assessments to collect accurate formative data about students` strengths and weaknesses and increase mathematical understandings for all learners.
Автор: Keeley P & Tobey C Название: Mathematics Formative Assessment, Volume 2 ISBN: 1506311393 ISBN-13(EAN): 9781506311395 Издательство: Sage Publications Рейтинг: Цена: 33780.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This new volume from award-winning author Page Keeley and mathematics expert Cheryl Rose Tobey helps you improve student outcomes with 50 all-new formative assessment classroom techniques (FACTS) that are embedded throughout a cycle of instruction.
Автор: Lee Название: Language for learning mathematics: assessment for learning in practice ISBN: 0335219888 ISBN-13(EAN): 9780335219889 Издательство: McGraw-Hill Рейтинг: Цена: 32020.00 T Наличие на складе: Поставка под заказ. Описание: Assessment for Learning is a powerful way to raise standards in school. This book shows how to overcome many of the difficulties that mathematics teachers have discovered as they try to introduce assessment for learning into their classrooms. Many pupils find it hard to express their ideas in mathematics because of problems with the language that is used to express mathematical concepts. The book shows how to help pupils express what they really know and understand so that Assessment for Learning can be used effectively. The book discusses what mathematical language is, and what it is not so that teachers can help their pupils use language to successfully express their mathematical ideas. It suggests practical approaches to introducing more discourse into the classroom and shows the improvements in learning that can be expected as a result. "The ideas of Assessment for Learning", rich questioning and dialogue, effective feedback and peer & self-assessment, are explored and suggestions are made for effective use of each idea in the mathematics classroom. The book shows how using Assessment for Learning depends on the pupils being able and willing to use mathematical language to express their ideas. When the difficulties of using mathematical language are acknowledged and the pupils are overtly helped to engage with and overcome those difficulties then learning increases. A mathematics classroom that uses discussion, negotiation and explanation as a matter of course, is a classroom where the work quickly becomes more challenging and the pupils see themselves as successful learners. A pupil who can express their mathematical ideas is one who knows just how much they understand and what they need to tackle next. A teacher, who is part of such discourse, is able to use formative assessment to tailor the learning to allow the pupils to reach the highest standards. Many of the ideas advocated in the book are the result of applying theory to practice using cycles of Action Research. The book will include an explanation of this approach and how it can be used to develop good practice. The approaches advocated are rooted in theories of learning and language use. I therefore include a section in the book for those who may wish to take their study to a greater depth or to be convinced of the research backound to these ideas.
Автор: Thompson Название: Classroom Assessment in Mathematics ISBN: 3319737473 ISBN-13(EAN): 9783319737478 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Preface
Section I. Introduction to the Volume
1. Formative Assessment: A Critical Component of the Teaching-Learning Process
Denisse R. Thompson, University of South Florida, United States
Megan Burton, Auburn University, United States
Annalisa Cusi, University of Torino, Italy
David Wright, Newcastle University, United Kingdom
Section II. Examples of Classroom Assessment in Action
2. Formative Assessment Lessons
Malcolm Swan, University of Nottingham, United Kingdom
Colin Foster, University of Nottingham, United Kingdom
3. Observations and Conversations as Assessment in Secondary Mathematics
Jimmy Pai, University of Ottawa, Canada
4. Using Self-Assessment for Individual Practice in Math Classes
Waldemar Straumberger, University of Bielefeld, Germany
Section III. Technology as a Tool for Classroom Assessment
5. Using a Digital Flip Camera: A Useful Assessment Tool in Mathematics Lessons
Ann Downton, Monash University, Australia
6. The Use of Digital Technologies to Enhance Formative Assessment Processes
Annalisa Cusi, University of Torino, Italy
&n
bsp; Francesca Morselli, University of Genova, Italy
Cristina Sabena, University of Torino, Italy
7.
; Resources and Constraints Designed to Support Online e-Assessment of Problem Solving
Galit Nagari Haddif, University of Haifa, Israel
Michal Yerushalmy, University of Haifa, Israel
8. Suggestion of an E-Proof Environment in Mathematics Education
Melanie Platz, University of Freiburg and University of Koblenz-Landau, Germany
Mi
Автор: Kloosterman Peter, Mohr Doris, Walcott Crystal Название: What Mathematics Do Students Know and How Is That Knowledge Changing? Evidence from the National Assessment of Educational Progress ISBN: 1681232006 ISBN-13(EAN): 9781681232003 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 50820.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume is intended for researchers, curriculum developers, policy makers, and classroom teachers who want comprehensive information on what students at grades 4, 8, and 12 (the grades assessed by NAEP) can and cannot do in mathematics. After two introductory chapters on the design of NAEP, the volume contains a chapter on the challenges in analyzing NAEP data at the item level followed by five chapters that report 2005 through 2013 student performance on specific assessment items. These chapters are organized by content area and then by topic (e.g., understanding of place value, knowledge of transformations, ability to use metric and U.S. systems of measurement) and thus provide baseline data on the proportion of students who are able to complete the mathematics tasks currently used in the upper elementary, middle, and high?school mathematics curriculum. Additional chapters focus on student reasoning, U.S. performance on international assessments, and using construct analysis rather than percent correct on clusters of items to understand student knowledge on specific mathematics topics.Several themes emerge from the volume. One is that while the rate of improvement in mathematics learning in grades 4 and 8 has slowed in recent years, it has slowed more on some topics than others. Another is that relatively minor changes in wording can have significant effects on student performance and thus it is difficult to be specific about what students can do without knowing exactly what questions they were asked. A third theme is that changes in performance over time can sometimes but not always be understood in terms of what students are taught. For example, there were substantial gains on several grade 4 items requiring understanding of fractions and that is probably because the amount of instruction on fractions in grades 3 and 4 has been increasing. In contrast, while relatively few twelfth?grade students have ever been good at factoring trinomials, performance on this skill seems to be decreasing. This suggests that while more students are completing advanced mathematics courses in high school, these courses are not helping in the area of factoring trinomials. Finally, there are limitations to using NAEP as a measure of student performance on the Common Core State Standards. To the extent that NAEP can be used, however, the NAEP data show a substantial gap between expectations and performance.
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