Mathematics and Statistics in the Middle Years

2015

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Author: Robin Averill
Publisher:
ISBN: 9781927231487
Category : Mathematics
Languages : en
Pages : 0

"There is much to celebrate in mathematics and statistics education in Aotearoa New Zealand. The chapters in this book showcase some of our most exciting practice and research, and they are excellent examples of the work happening in New Zealand schools and teacher education. Each chapter is the result of teacher-teacher educator partnerships, and each includes students' and teachers' voices about teaching and learning mathematics and statistics. All chapters have material and ideas relevant to both primary and secondary school classrooms. The book straddles the middle school years to promote understanding of students' mathematics and statistics learning journeys as they make the primary-secondary school transition. Each chapter outlines research, resources, learning experiences and ideas related to a particular pedagogical focus and specific curriculum content. Ensuring we use the widest possible vision for ensuring equity in our work is vital for providing all students with the widest possible horizons. Towards this goal, the values of respect, developing leadership, community, and inclusion, and ways of capitalising on digital technology are threaded through the book, highlight teaching practices culturally responsive to the students we teach"--Back cover.

How Not to Be Wrong

2014-05-29

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Author: Jordan Ellenberg
Publisher: Penguin Press
ISBN: 1594205221
Category : Mathematics
Languages : en
Pages : 480

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

MYP Mathematics 1

2019-01-17

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Author: David Weber
Publisher: Oxford University Press - Children
ISBN: 0198397879
Category : Juvenile Nonfiction
Languages : en
Pages :

Build solid mathematical understanding and develop meaningful conceptual connections. The inquiry-based approach holistically integrates the MYP key concepts, helping you shift to a concept-based approach and cement comprehension of mathematical principles. Fully comprehensive and matched to the Revised MYP, this resource builds student potential at MYP and lays foundations for cross-curricular understanding. Using a unique question cycle to sequentially build skills and comprehension, units introduce factual questions, followed by concept-based questions and conclude with debatable questions. This firm grounding in inquiry-based learning equips learners to actively explore mathematical concepts and relate them to the wider 21st Century world, strengthening comprehension. Progress your learners into IB Diploma - fully comprehensive and matched to the Revised MYP Develop conceptual understanding in the best way for your learners - learn by mathematical unit or by key concept Drive active, critical ex

And the Rest is Just Algebra

2016-10-20

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Author: Sepideh Stewart
Publisher: Springer
ISBN: 3319450530
Category : Education
Languages : en
Pages : 246

This book addresses college students' weak foundation in algebra, its causes, and potential solutions to improve their long-term success and understanding in mathematics as a whole. The authors, who are experts in a wide variety of fields, emphasize that these difficulties are more complex than just forgotten rules, and offer strategic approaches from a number of angles that will increase the chances of student understanding. Instructors who are frustrated with their students’ lack of skills and knowledge at college level will find this volume helpful, as the authors confront the deeper reasons why students have difficulties with Algebra and reveal how to remedy the issue.

Researching and Using Progressions (Trajectories) in Mathematics Education

2019-02-04

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Author:
Publisher: BRILL
ISBN: 9004396446
Category : Education
Languages : en
Pages : 255

The relationship between research and practice has long been an area of interest for researchers, policy makers, and practitioners alike. One obvious arena where mathematics education research can contribute to practice is the design and implementation of school mathematics curricula. This observation holds whether we are talking about curriculum as a set of broad, measurable competencies (i.e., standards) or as a comprehensive set of resources for teaching and learning mathematics. Impacting practice in this way requires fine-grained research that is focused on individual student learning trajectories and intimate analyses of classroom pedagogical practices as well as large-scale research that explores how student populations typically engage with the big ideas of mathematics over time. Both types of research provide an empirical basis for identifying what aspects of mathematics are important and how they develop over time. This book has its origins in independent but parallel work in Australia and the United States over the last 10 to 15 years. It was prompted by a research seminar at the 2017 PME Conference in Singapore that brought the contributors to this volume together to consider the development and use of evidence-based learning progressions/trajectories in mathematics education, their basis in theory, their focus and scale, and the methods used to identify and validate them. In this volume they elaborate on their work to consider what is meant by learning progressions/trajectories and explore a range of issues associated with their development, implementation, evaluation, and on-going review. Implications for curriculum design and future research in this field are also considered. Contributors are: Michael Askew, Tasos Barkatsas, Michael Belcher, Rosemary Callingham, Doug Clements, Jere Confrey, Lorraine Day, Margaret Hennessey, Marj Horne, Alan Maloney, William McGowan, Greg Oates, Claudia Orellana, Julie Sarama, Rebecca Seah, Meetal Shah, Dianne Siemon, Max Stephens, Ron Tzur, and Jane Watson.

All of Statistics

2013-12-11

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Author: Larry Wasserman
Publisher: Springer Science & Business Media
ISBN: 0387217363
Category : Mathematics
Languages : en
Pages : 446

Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

Open Middle Math

2023-10-10

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Author: Robert Kaplinsky
Publisher: Taylor & Francis
ISBN: 1003839886
Category : Education
Languages : en
Pages : 193

This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

Realising Innovative Partnerships in Educational Research

2017-07-18

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Author: Rachel McNae
Publisher: Springer
ISBN: 9463510621
Category : Education
Languages : en
Pages : 309

Realising Innovative Partnerships in Educational Research examines the underlying principles and actions that support the development of and engagement in partnerships in educational research. With social justice at its core, the work in this book represents various architectures of innovation, whereby new ways of thinking about partnership research are proposed and practices of teaching and learning are reconciled (or not) with existing education contexts and practices. With contributions from educational researchers and practitioners from New Zealand, and international commentaries provided by established scholars in the field, the book draws together key experiences and insights from students, teachers, community members and researchers in tertiary, community, school, and early childhood settings. The research in this book seeks to address a gap in our understanding, extending knowledge beyond simply the benefits of partnership work, to examine how successful partnerships can be initiated, enacted, and sustained over time. This book invites reflection on the following provocations: Why engage in partnerships for educational research? How has this happened in the past and what needs to happen for the future? What is unique about the New Zealand context and what might researchers in other countries learn from our collaborative and culturally responsive research methodologies? What could be some of the underlying principles that support the development of and engagement in collaborative research? How do we evaluate the effectiveness of research partnerships in education to shift the focus to the future?

Rethinking Mathematics

2005

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Author: Eric Gutstein
Publisher: Rethinking Schools
ISBN: 0942961544
Category : Mathematics
Languages : en
Pages : 192

In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.

Helping Children Learn Mathematics

2002-07-31

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Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.