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What Mathematics Do Students Know And How Is That Knowledge Changing


What Mathematics Do Students Know And How Is That Knowledge Changing
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What Mathematics Do Students Know And How Is That Knowledge Changing


What Mathematics Do Students Know And How Is That Knowledge Changing
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Author : Peter Kloosterman
language : en
Publisher: IAP
Release Date : 2015-09-01

What Mathematics Do Students Know And How Is That Knowledge Changing written by Peter Kloosterman and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-01 with Education categories.


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.



Quantitative Measures Of Mathematical Knowledge


Quantitative Measures Of Mathematical Knowledge
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Author : Jonathan Bostic
language : en
Publisher: Routledge
Release Date : 2019-04-29

Quantitative Measures Of Mathematical Knowledge written by Jonathan Bostic and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-29 with Education categories.


The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.



The Amte Handbook Of Mathematics Teacher Education


The Amte Handbook Of Mathematics Teacher Education
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Author : Babette M. Benken
language : en
Publisher: IAP
Release Date : 2024-02-01

The Amte Handbook Of Mathematics Teacher Education written by Babette M. Benken and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-01 with Mathematics categories.


This new volume of The Association of Mathematics Teacher Educators (AMTE) Professional Book Series is a critical and timely resource that paves the way and guides the future of mathematics teacher education. The collection of work in this AMTE Handbook of Mathematics Teacher Education reflects on research and what we know about how best to prepare and support both mathematics teachers and mathematics teacher educators and presents what is happening in the field. Examples included in the 22 chapters highlight how we are preparing teachers across multiple contexts (e.g., within district, in content courses for the major) and grade ranges (K-20+) and all chapters highlight relevant connections to the AMTE Standards for Preparing Teachers of Mathematics. Most importantly, this volume explores what we do not yet fully understand and where we are going. In essence, it considers how we can move the field forward. The 95 contributing authors range from graduate students to those who have served as leaders in the field in multiple ways for many years. Authors include K-12 teachers, school administrators, district leaders, graduate students, higher education faculty, and professional development facilitators.



Helping Children Learn Mathematics 5th Australian Edition


Helping Children Learn Mathematics 5th Australian Edition
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Author : Robert Reys
language : en
Publisher: John Wiley & Sons
Release Date : 2025-10-10

Helping Children Learn Mathematics 5th Australian Edition written by Robert Reys and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-10-10 with Education categories.




Handbook Of Research On Mathematics Teaching And Learning


Handbook Of Research On Mathematics Teaching And Learning
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Author : Douglas Grouws
language : en
Publisher: IAP
Release Date : 2006-11-01

Handbook Of Research On Mathematics Teaching And Learning written by Douglas Grouws and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-01 with Mathematics categories.


Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.



Knowing Knowledge And Beliefs


Knowing Knowledge And Beliefs
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Author : Myint Swe Khine
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-25

Knowing Knowledge And Beliefs written by Myint Swe Khine and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-25 with Psychology categories.


Beliefs about nature of knowledge and learning, or epistemological beliefs have been an interest of educational researchers and psychologists for the past several years. New perspectives on theoretical, conceptual and methodological approaches and empirical studies on epistemological beliefs are emerging in the literature as a well-defined field of study. Studies show that personal epistemology has influence on comprehension, study strategies, learning process and academic performance. Research in this area has undergone considerable growth in the past decades and has now reached a stage of notable diversity and internationalization. Bringing together prominent educators and researchers, this book focuses on conceptual and methodical issues and state-of-the-art theoretical understanding on epistemological beliefs from educational and psychological perspectives. It is a critical and specialized source that describes recent advances in conceptualization and epistemological studies across diverse cultures.



Assessment In Geographical Education An International Perspective


Assessment In Geographical Education An International Perspective
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Author : Theresa Bourke
language : en
Publisher: Springer Nature
Release Date : 2022-02-27

Assessment In Geographical Education An International Perspective written by Theresa Bourke and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-27 with Science categories.


In recent years there has been increased attention paid to the importance of assessment in Geographical Education, the chosen subject for this book. Assessment is an important tool for collecting information about student learning and for providing timely data to inform key stakeholders including students, teachers, parents and policymakers. To be effective, assessment needs to be valid, reliable and fair. Validity is about ensuring that we assess what we claim we are assessing. Reliability is about measuring performance and understanding in a consistent way. Without validity and reliability, assessment is unlikely to provide equitable opportunities for students to demonstrate what they know and can do. As geography educators it is therefore important that we identify the core concepts and skills in geography that we want students to master. We need a clear understanding of what the progression of learning looks like for each concept and skill so we can develop fit for purpose assessments that track and improve student learning. While there is a substantial literature on evidence-based assessment in secondary school contexts, research exploring best-practice assessment in geography is rare. This is a concern given the distinctive nature of geography and the important role of assessment in the learning process. This scholarly collection seeks to address this issue by connecting research in educational assessment with the domain of geography. The chapters are written by leading researchers in Geographical Education from across the globe. These chapters provide examples of innovation through the collective voices of geography teacher educator scholars from across Australia, USA, South Korea, Germany, Switzerland and Singapore. What unifies the work in this book, is that each chapter focuses on a key feature of the discipline of geography, providing scholarly examples of evidence-based practices for assessing student’s knowledge and skills.



Encyclopedia Of Teacher Education


Encyclopedia Of Teacher Education
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Author : Michael A. Peters
language : en
Publisher: Springer Nature
Release Date : 2022-08-26

Encyclopedia Of Teacher Education written by Michael A. Peters and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-26 with Education categories.


This encyclopaedia is a dynamic and living reference that student teachers, teacher educators, researchers and professionals in the field of education with an accent on all aspects of teacher education, including: teaching practice; initial teacher education; teacher induction; teacher development; professional learning; teacher education policies; quality assurance; professional knowledge, standards and organisations; teacher ethics; and research on teacher education, among other issues. The Encyclopedia is an authoritative work by a collective of leading world scholars representing different cultures and traditions, the global policy convergence and counter-practices relating to the teacher education profession. The accent will be equally on teaching practice and practitioner knowledge, skills and understanding as well as current research, models and approaches to teacher education.



Improving Thinking In The Classroom


Improving Thinking In The Classroom
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Author : Keith J. Topping
language : en
Publisher: Taylor & Francis
Release Date : 2023-12-05

Improving Thinking In The Classroom written by Keith J. Topping and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-05 with Education categories.


Programs like philosophy for children, reciprocal teaching, problem based learning and computerized games can help students’ critical and creative thinking skills, but which are most effective? This research-to-practice book showcases how you can improve the thinking (cognition) of your students, across the curriculum and beyond. Each chapter focuses on a particular program, describes the method and background research, offers examples and explains key processes in implementation. You'll learn about thinking programs within a subject, across the curriculum, outside the curriculum and those which can be either within or outside the curriculum, so you can choose a program which suits your context. You’ll also find out what to consider when evaluating a thinking skills program. And finally, you’ll discover shared features of the methods – such as peer interaction, discourse, argumentation, scaffolding and transfer – so you can see the commonalities of the programs and think about designing your own approaches. Whether you’re a classroom teacher, department head, or other key stakeholder, this powerful resource will help you determine what really works for teaching thinking, so your students can apply such skills and thrive long after they’ve left school. Note: This book is part of a set; a companion book focuses on programs for teaching metacognition, or thinking about thinking.



Alternative Forms Of Knowing In Mathematics


Alternative Forms Of Knowing In Mathematics
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Author : Swapna Mukhopadhyay
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-28

Alternative Forms Of Knowing In Mathematics written by Swapna Mukhopadhyay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-28 with Education categories.


This book grew out of a public lecture series, Alternative forms of knowledge construction in mathematics, conceived and organized by the first editor, and held annually at Portland State University from 2006. Starting from the position that mathematics is a human construction, implying that it cannot be separated from its historical, cultural, social, and political contexts, the purpose of these lectures was to provide a public intellectual space to interrogate conceptions of mathematics and mathematics education, particularly by looking at mathematical practices that are not considered relevant to mainstream mathematics education. One of the main thrusts was to contemplate the fundamental question of whose mathematics is to be valorized in a multicultural world, a world in which, as Paolo Freire said, “The intellectual activity of those without power is always characterized asnon-intellectual”. To date, nineteen scholars (including the second editor) have participated in the series. All of the lectures have been streamed for global dissemination at:http://www.media.pdx.edu/dlcmedia/events/AFK/. Most of the speakers contributed a chapter to this book, based either on their original talk or on a related topic. The book is divided into four sections dealing with: • Mathematics and the politics of knowledge • Ethnomathematics • Learning to see mathematically • Mathematics education for social justice.