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Future Curricular Trends in School Algebra And Geometry

Future Curricular Trends in School Algebra And Geometry
Author: Zalman Usiskin
Publisher: IAP
Total Pages: 347
Release: 2010-06-01
Genre: Education
ISBN: 1617350087

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This volume contains papers from the Second International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The intended audience includes policy makers, curriculum developers, researchers, teachers, teacher trainers, and anyone else interested in school mathematics curricula.


The History of the Geometry Curriculum in the United States

The History of the Geometry Curriculum in the United States
Author: Nathalie Sinclair
Publisher: IAP
Total Pages: 117
Release: 2008-02-01
Genre: Education
ISBN: 1607527308

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This volume investigates the evolution of the geometry curriculum in the United States over the past 150 years. A primary goal is to increase awareness of the shape and nature of the current geometry curriculum by explaining how things have come to be as they are. Given the limited access to first-hand accounts of the enacted geometry curriculum during the past 150 years, the monograph relies on textbooks to provide a record of the implemented curriculum at any given point in time. Policy documents can provide insight into the choices made in textbooks by hinting at the issues considered and the recommendations made. The monograph is organized in a chronological sequence of "notable events" leading to discernable changes in thinking about the geometry curriculum over the past century and a half—roughly the extent of time during which geometry has been taught in American schools. Notable events include important reports or commissions, influential texts, new schools of thought, and developments in learning technologies. These events affected, among other things: content and aims of the geometry curriculum; the nature of mathematical activity as construed by both mathematicians and mathematics educators; and, the resources students are given for engaging in mathematical activity. Before embarking through the notable events, it is necessary to consider the "big bang" of geometry, namely the moment in time that shaped the future life of the geometry curriculum. This corresponds to the emergence of Euclidean geometry. Given its influence on the shape of the geometry curriculum, familiarity with the nature of the geometry articulated in Euclid’s Elements is essential to understanding the many tensions that surround the school geometry curriculum. Several themes emerge over the course of the monograph, and include: the aims and means of the geometry curriculum, the importance of proof in geometry, the role of visualization and tactile experiences, the fusion between solid and plane geometry, the curricular connections between geometry and algebra, and the use of motion and continuity. The intended audience would include curriculum developers, researchers, teachers, and curriculum supervisors.


Planting the Seeds of Algebra, PreK–2

Planting the Seeds of Algebra, PreK–2
Author: Monica Neagoy
Publisher: Corwin Press
Total Pages: 210
Release: 2012-04-20
Genre: Education
ISBN: 1412996600

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The author provides in-depth math “explorations,” strategies, grade-banded lessons, and step-by-step guidance for building a strong foundation in algebra for very young children.


Digital Curricula in School Mathematics

Digital Curricula in School Mathematics
Author: Meg Bates
Publisher: IAP
Total Pages: 337
Release: 2016-02-01
Genre: Education
ISBN: 1681234130

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The mathematics curriculum – what mathematics is taught, to whom it is taught, and when it is taught – is the bedrock to understanding what mathematics students can, could, and should learn. Today’s digital technology influences the mathematics curriculum in two quite different ways. One influence is on the delivery of mathematics through hardware such as desktops, laptops, and tablets. Another influence is on the doing of mathematics using software available on this hardware, but also available on the internet, calculators, or smart phones. These developments, rapidly increasing in their availability and decreasing in their cost, raise fundamental questions regarding a mathematics curriculum that has traditionally been focused on paper-and-pencil work and taught in many places as a set of rules to be practiced and learned. This volume presents the talks given at a conference held in 2014 at the University of Chicago, sponsored by the Center for the Study of Mathematics Curriculum. The speakers – experts from around the world and inside the USA – were asked to discuss one or more of the following topics: • changes in the nature and creation of curricular materials available to students • transformations in how students learn and how they demonstrate their learning • rethinking the role of the teacher and how students and teachers interact within a classroom and across distances from each other The result is a set of articles that are interesting and captivating, and challenge us to examine how the learning of mathematics can and should be affected by today’s technology.


Mentoring Mathematics Teachers

Mentoring Mathematics Teachers
Author: Rosalyn Hyde
Publisher: Routledge
Total Pages: 220
Release: 2013-09-23
Genre: Education
ISBN: 1134609930

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Designed to support both teachers and university-based tutors in mentoring pre-service and newly qualified mathematics teachers at both primary and secondary levels, Mentoring Mathematics Teachers offers straightforward practical advice that is based on practice, underpinned by research, and geared specifically towards this challenging subject area. Developed by members of The Association of Mathematics Education Teachers, the authors draw upon the most up-to-date research and theory to provide evidence-based practical guidance. Themes covered include: the recognition of the importance of pedagogical content knowledge building upon subject knowledge developing skills of self-evaluation in order to reflect and develop your own practice the on-going need to address issues of equity and diversity within the profession the need for pre-service teachers and their mentors to work together effectively as a partnership the importance of collaboration, shared goals, mutual benefit and growth. Addressing issues of mentoring for all trainee and practising mathematics teachers, Mentoring Mathematics Teachers demonstrates both the importance of mentoring in the development of new teachers of mathematics, but also the benefits to all those who involve themselves in this challenging and rewarding task.


Researching Pedagogy and Practice with Canadian Mathematics Teachers

Researching Pedagogy and Practice with Canadian Mathematics Teachers
Author: David A Reid
Publisher: IAP
Total Pages: 257
Release: 2020-06-01
Genre: Education
ISBN: 1648021395

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The past two decades have seen an increased interest in education, especially in core areas such as mathematics, language and science. This is in part a consequence of the increase in the number of international comparisons of educational outcomes, such as PISA and TIMSS. Much research has focused on the contributions that curricula, financial resources, parental support, and so on, might have on educational outcomes. A factor that seems likely to have a very significant effect on student achievement, teachers’ practices and beliefs, has received little attention. This book reports results from a research program that sought to develop and employ research methods to compare teachers’ practices and beliefs across Canada. It provides insight into the challenge of such research, and describes teachers’ contexts, beliefs and practices, and how they differ, in four regions and across two languages. Using a multivocal ethnography approach (Tobin, 1999) teachers were involved in the preparation and discussion of videos of their own teaching and that of others. This approach resulted in not only insights into the teachers’ pedagogies and practices, but also opportunities for the teachers to reflect on their own teaching in new ways, and for researchers to reflect on research practices and orientations. The work is innovative in several ways. In a field crowded with research on teachers’ practices, beliefs and knowledge this research helps to unearth the implicit values that underlie the way teachers see teaching itself. Through the process of observation of each other’s practice, the teachers became aware of their own pedagogies, giving them new insights into their values and practices. Researchers also engaged in a parallel process of reflection on their own practices as observers of teachers, with similar insights into the values guiding their work. This book will be of interest to government policy makers, teachers and teacher educators, as well as researchers in Mathematics Education. Members of the AERA SIG in Research in Mathematics Education, the Canadian Mathematics Education Study Group, the NCTM, and provincial Mathematics teacher associations are potential readers. Praise for Researching Pedagogy and Practice with Canadian Mathematics Teachers: What a treasure! This book is an important resource for anyone interested in high quality mathematics teaching. It fills a gap in our understanding of how mathematics is taught across Canada, where students are among the highest performing on international mathematics assessments. The studies reported are conceptually grounded, methodologically rigorous, and filled with nuanced observations of the similarity and variation in classroom teaching across many of the Canadian provinces. Edward A. Silver Senior Associate Dean for Research & Graduate Studies William A. Brownell Collegiate Professor of Education & Professor of Mathematics University of Michigan


International Perspectives on Mathematics Curriculum

International Perspectives on Mathematics Curriculum
Author: Denisse R Thompson
Publisher: IAP
Total Pages: 261
Release: 2018-01-01
Genre: Education
ISBN: 1641130458

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Curriculum can be defined in a variety of ways. It might be viewed as a body of knowledge, a product, or a process. Curricula can differ as they are conceptualized from various theoretical perspectives to address the needs of teachers, students, and the context of schooling. One reason to study curriculum is “to reveal the expectations, processes and outcomes of students’ school learning experiences that are situated in different cultural and system contexts. … further studies of curriculum practices and changes are much needed to help ensure the success of educational reforms in the different cultural and system contexts” (Kulm & Li, 2009, p. 709). This volume highlights international perspectives on curriculum and aims to broaden the wider mathematics education community’s understandings of mathematics curriculum through viewing a variety of ways that curricula are developed, understood, and implemented in different jurisdictions/countries. Within this volume, we define curriculum broadly as the set of mathematics standards or outcomes, the messages inherent in mathematics curriculum documents and resources, how these standards are understood by a variety of stakeholders, and how they are enacted in classrooms. The focus is on the written, implied, and enacted curriculum in various educational settings throughout the world.


Disciplinary and Interdisciplinary Education in STEM

Disciplinary and Interdisciplinary Education in STEM
Author: Yeping Li
Publisher: Springer Nature
Total Pages: 349
Release: 2024
Genre: Electronic books
ISBN: 3031529243

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This book provides an international platform for educators from different STEM disciplines to present, discuss, connect, and develop collaborations in two inter-related ways: (1) sharing and discussing changes and innovations in individual discipline-based education in STEM/STEAM, and (2) sharing and discussing the development of interdisciplinary STEM/STEAM education. Possible relationships and connections between individual disciplines (like mathematics or physics) and STEM education remain under explored and the integration of traditionally individual discipline-based education in STEM education is far from balanced. Efforts to pursue possible connections among traditionally separated individual disciplines in STEM are not only necessary for the importance of deepening and expanding interdisciplinary research and education in STEM, but also for the ever-increasing need of reflecting on and changing how traditional school subjects (like mathematics or physics) can and should be viewed, taught, and learned. Scholars from eight countries/regions provide diverse perspectives and approaches on changes and innovations in STEM disciplinary and interdisciplinary education. Disciplinary and Interdisciplinary Education in STEM will be a great resource to students and researchers in STEM education as well as STEM curriculum developers and teacher educators internationally.


Variability is the Rule

Variability is the Rule
Author: John P. Smith
Publisher: IAP
Total Pages: 235
Release: 2010-12-01
Genre: Education
ISBN: 1617351997

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In response to No Child Let Behind, states have developed mathematics curriculum frameworks that outline their intended curriculum for grades K–8. While some have indicated that districts or individual schools may use their framework as a model for specific curricular programs, others have taken a more prescriptive or even mandatory stance. Collectively, these frameworks present a sense of the national mathematics program and what we expect students learn. This volume follows The Intended Curriculum as Represented in State Mathematics Curriculum Standards: Consensus or Confusion? (Reys). While the Reys volume focused on number and operations, algebra and reasoning strands, the Smith volume analyzes geometry, measurement, probability, and statistics strands. It also presents an analysis what verbs used tell us about the cognitive demand of grade level expectations. This volume, even more than the Reys volume, emphasizes the theme of variability in the content, expression, and clarity of grade level expectations across the states. As the nation moves toward implementation of the Common Core Standards, this volume highlights some of the challenges teachers and other school personnel face in interpreting mathematics grade-level standards as goals for classroom teaching. The shift from 50 state standards to one document does not resolve this basic challenge.


Key Ideas in Teaching Mathematics

Key Ideas in Teaching Mathematics
Author: Anne Watson
Publisher: OUP Oxford
Total Pages: 359
Release: 2013-02-21
Genre: Mathematics
ISBN: 0191643424

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Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.