Mathematical Vignettes

2018-04-27
Mathematical Vignettes

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  • Author: Richard Poulo
  • Publisher: Richard Poulo
  • ISBN: 9780999617410
  • Category :
  • Languages : en
  • Pages : 116

If you are a non-mathematician who wants to stay that way, Mathematical Vignettes is the one book you should read to be informed. Written expressly for non-mathematicians, it is a collection of very short descriptions of numerous branches of mathematics and their relevance to areas of public debate and to everyday life. Most of these branches have nothing to do with numbers or formulas, are not even mentioned in high school, and are unknown to most people. For example, the vignette A Danger Scale discusses how dangers in everyday life can be evaluated without sensationalism. Other selections from the approximately thirty vignettes include Encryption, Fractals, Games, Knots, Recognition, Military Math, Chaos, Estimation, and an unusual one titled Statistics - A Rant. A few vignettes are historical and one is humorous. The person who reads Mathematical Vignettes will gain an understanding of the unsuspected breadth and utility of modern mathematics as well as unsuspected pleasure at discovering a new lens through which to view the world.

Providing a Foundation for Teaching Mathematics in the Middle Grades

1995-01-01
Providing a Foundation for Teaching Mathematics in the Middle Grades

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  • Author: Judith T. Sowder
  • Publisher: SUNY Press
  • ISBN: 9780791425336
  • Category : Mathematics
  • Languages : en
  • Pages : 348

This book provides middle school teachers with a firm pedagogical foundation based on the manner in which students learn the mathematics being taught.

Everything You Need for Mathematics Coaching

2018-04-02
Everything You Need for Mathematics Coaching

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  • Author: Maggie B. McGatha
  • Publisher: Corwin Press
  • ISBN: 1544316992
  • Category : Education
  • Languages : en
  • Pages : 360

Plan, focus, and lead: Your toolkit for inspiring math teachers What’s your go-to resource for guiding teachers to grow mathematics proficiency in their classrooms? This comprehensive toolkit for busy math coaches positions student learning as the focus of all work, and connects the Eight Mathematical Practices for students with NCTM’s Eight Effective Teaching Practices to deliver coaching strategies that work. Use the coaching cycle—plan, gather data, reflect—to build trust and rapport with teachers. Navigate coaching conversations. Plan, focus, and facilitate professional learning communities. Includes examples from the field, resources, and a plethora of tools to download and share. Create a professional learning plan that empowers you to lead with clarity and purpose.

Mathematics in Early Childhood

2020-11-05
Mathematics in Early Childhood

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  • Author: Oliver Thiel
  • Publisher: Routledge
  • ISBN: 1000174581
  • Category : Education
  • Languages : en
  • Pages : 208

Structured around Bishop’s six fundamental mathematical activities, this book brings together examples of mathematics education from a range of countries to help readers broaden their view on maths and its interrelationship to other aspects of life. Considering different educational traditions and diverse contexts, and illustrating theory through the use of real-life vignettes throughout, this book encourages readers to review, reflect on, and critique their own practice when conducting activities on explaining, counting, measuring, locating, designing, and playing. Aimed at early childhood educators and practitioners looking to improve the mathematics learning experience for all their students, this practical and accessible guide provides the knowledge and tools to help every child.

Mathematical Argumentation in Middle School-The What, Why, and How

2017-09-21
Mathematical Argumentation in Middle School-The What, Why, and How

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  • Author: Jennifer Knudsen
  • Publisher: Corwin Press
  • ISBN: 150639423X
  • Category : Education
  • Languages : en
  • Pages : 185

This research-based book brings tough Standards for Mathematical Practice 3 standards for mathematical argumentation and critical reasoning alive - all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.

The Mathematics Education of Elementary Teachers

2016-07-01
The Mathematics Education of Elementary Teachers

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  • Author: Lynn C. Hart
  • Publisher: IAP
  • ISBN: 1681235749
  • Category : Education
  • Languages : en
  • Pages : 147

This book is an edited volume addressing specific issues of significance for individuals involved with the undergraduate mathematics content preparation of prospective elementary teachers (PSTs). Teaching mathematics content courses to this group of students presents unique challenges. While some PSTs enter their teacher preparation with weak mathematical skills and knowledge, many also hold negative attitudes, anxiety, and misguided beliefs about mathematics. This book is designed to support instructors who teach these students in mathematics content for elementary teachers courses. Elementary teachers need a richly developed understanding of the mathematics they are teaching in order to teach it effectively. Providing them with the needed preparation is difficult, but can be eased with a solid understanding of the mathematical concerns and limitations PSTs bring to the learning of mathematics and a familiarity with the standards and curricula topics PSTs will be expected to teach. Chapter One makes the argument that elementary mathematics is not trivial. This is followed by an analysis of four central issues related to the mathematical preparation of elementary teachers, specifically: (1) selecting/creating/modifying and implementing mathematical tasks (2) noticing/understanding children’s ways of thinking as a foundation for learning mathematics, (3) developing mathematical habits of mind in PSTs, and (4) understanding the role affect plays in the mathematical learning of PSTs. The final chapter presents three international examples of programs that currently consider these factors in the implementation of their courses.

Cases for Mathematics Teacher Educators

2016-10-01
Cases for Mathematics Teacher Educators

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  • Author: Dorothy Y. White
  • Publisher: IAP
  • ISBN: 1681236273
  • Category : Education
  • Languages : en
  • Pages : 511

The Association of Mathematics Teacher Educators (AMTE) in its 2015 position paper on Equity in Mathematics Teacher Education provides a list of actions for mathematics teacher educators (MTE’s) to help them develop and implement equitable practices. The position paper states it is critical that mathematics teacher educators: “Model equity?based pedagogy that emphasizes rich and rigorous mathematics; elicit and build on children’s and young adults’ mathematical thinking; connect to P?12 students’ cultural/linguistic knowledge and backgrounds as well as individual interests; facilitate mathematical discourse; minimize status issues by expanding broader participation and engagement where varied mathematical strengths are valued; and promote positive mathematical identity and agency (p. 2)”. Cases for Mathematics Teacher Educators: Facilitating Conversations about Inequities in Mathematics Classrooms provides an excellent resource to start conversations describing the enactment of these actions. The book is organized into three main sections: (1) Conversations About Inequities in Mathematics Methods Courses, (2) Conversations About Inequities in Mathematics Content Courses, and (3) Conversations about Inequities in Graduate and Professional Development Contexts. Across these sections there are 19 cases and 57 corresponding commentaries focused on dilemmas that arise when mathematics teacher educators foreground equity in their work. This book of cases provides a needed resource for MTEs to engage prospective teachers, practicing teachers, and future teacher educators in discussions about inequities, privilege, and oppression in society, in schools, and in the mathematics classroom. It is the product of the thinking and experiences of 87 authors who are committed to the improvement of mathematics teacher education.

Fostering Children's Mathematical Power

1998-09-01
Fostering Children's Mathematical Power

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  • Author: Arthur J. Baroody
  • Publisher: Routledge
  • ISBN: 1135674051
  • Category : Education
  • Languages : en
  • Pages : 621

Teachers have the responsibility of helping all of their students construct the disposition and knowledge needed to live successfully in a complex and rapidly changing world. To meet the challenges of the 21st century, students will especially need mathematical power: a positive disposition toward mathematics (curiosity and self confidence), facility with the processes of mathematical inquiry (problem solving, reasoning and communicating), and well connected mathematical knowledge (an understanding of mathematical concepts, procedures and formulas). This guide seeks to help teachers achieve the capability to foster children's mathematical power - the ability to excite them about mathematics, help them see that it makes sense, and enable them to harness its might for solving everyday and extraordinary problems. The investigative approach attempts to foster mathematical power by making mathematics instruction process-based, understandable or relevant to the everyday life of students. Past efforts to reform mathematics instruction have focused on only one or two of these aims, whereas the investigative approach accomplishes all three. By teaching content in a purposeful context, an inquiry-based fashion, and a meaningful manner, this approach promotes chilren's mathematical learning in an interesting, thought-provoking and comprehensible way. This teaching guide is designed to help teachers appreciate the need for the investigative approach and to provide practical advice on how to make this approach happen in the classroom. It not only dispenses information, but also serves as a catalyst for exploring, conjecturing about, discussing and contemplating the teaching and learning of mathematics.

Mathematics Education in the Early Years

2020-03-13
Mathematics Education in the Early Years

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  • Author: Martin Carlsen
  • Publisher: Springer Nature
  • ISBN: 3030347761
  • Category : Education
  • Languages : en
  • Pages : 453

This book gives insights in the vivid research area of early mathematics learning. The collection of selected chapters mirrors the research topics presented at the fourth POEM conference in May 2018. Thematically, the volume reflects the importance of this evolving area of research, which has begun to attract attention in the spheres of education and public policy due to increased interest in early years learning. The research foci of the chapters comprise children’s mathematical reasoning, early years mathematics teaching, and the role of parents for children’s mathematical development. The 2018 conference included a wider range of researchers than previous years.

Mathematics Education and Language Diversity

2015-11-25
Mathematics Education and Language Diversity

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  • Author: Richard Barwell
  • Publisher: Springer
  • ISBN: 3319145118
  • Category : Education
  • Languages : en
  • Pages : 321

*THIS BOOK WILL SOON BECOME AVAILABLE AS OPEN ACCESS BOOK* This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. This open access book examines multiple facets of language diversity