Lessons learned from maths lessons: Things we have learned from watching trainee teachers of secondary mathematics

Lessons learned from maths lessons: Things we have learned from watching trainee teachers of secondary mathematics

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  • Author: Joan Stephens
  • Publisher: John Catt
  • ISBN: 1915361583
  • Category : Education
  • Languages : en
  • Pages : 182

This is a book about teaching mathematics in schools. There are many excellent books about teaching mathematics that are driven by pedagogy, psychology or research. This book is different. It is driven by the mathematics that underpins the school mathematics curriculum, informed by the authors’ experiences and opinions. In the field of pedagogy, there are very few fixed “knowns”. Mathematics, on the other hand, is a well-founded rock. So, the thoughts and advice provided by Keith Parramore and Joan Stephens are anchored to that rock. Lessons Learned from Maths Lessons is based on observations in secondary schools, and many sections are relevant to primary school mathematics. The authors are a husband-and-wife team of practising mathematicians, with a wealth of experience in supporting trainee teachers. They have learned something new and/or interesting from every mathematics lesson they have observed. One objective of this book is to share some of that learning with the reader. A second objective is to promote an approach to teaching mathematics that empowers pupils and promotes understanding. Trainee teachers often identify specific topic areas that they perceive they need to develop. Parramore and Stephens argue that the greater need is for them to develop depth rather than breadth, to truly explore the mathematical foundations of what they are teaching.


How I Wish I'd Taught Maths

How I Wish I'd Taught Maths

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  • Author: Craig Barton
  • Publisher:
  • ISBN: 9781943920587
  • Category : Effective teaching
  • Languages : en
  • Pages : 451

Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom.


Learning to Love Math

Learning to Love Math

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  • Author: Judy Willis
  • Publisher: ASCD
  • ISBN: 1416612289
  • Category : Education
  • Languages : en
  • Pages : 270

Is there a way to get students to love math? Dr. Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity. With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her dual careers as a math teacher and a neurologist. In addition to learning basic brain anatomy and function, readers will learn how to * Improve deep-seated negative attitudes toward math. * Plan lessons with the goal of "achievable challenge" in mind. * Reduce mistake anxiety with techniques such as errorless math and estimation. * Teach to different individual learning strengths and skill levels. * Spark motivation. * Relate math to students' personal interests and goals. * Support students in setting short-term and long-term goals. * Convince students that they can change their intelligence. With dozens of strategies teachers can use right now, Learning to Love Math puts the power of research directly into the hands of educators. A Brain Owner's Manual, which dives deeper into the structure and function of the brain, is also included—providing a clear explanation of how memories are formed and how skills are learned. With informed teachers guiding them, students will discover that they can build a better brain . . . and learn to love math!


Number Talks

Number Talks

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  • Author: Sherry Parrish
  • Publisher: Math Solutions
  • ISBN: 1935099116
  • Category : Education
  • Languages : en
  • Pages : 434

"A multimedia professional learning resource"--Cover.


Mathematical Mindsets

Mathematical Mindsets

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  • Author: Jo Boaler
  • Publisher: John Wiley & Sons
  • ISBN: 1118418271
  • Category : Education
  • Languages : en
  • Pages : 311

Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.


Becoming the Math Teacher You Wish You'd Had

Becoming the Math Teacher You Wish You'd Had

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  • Author: Tracy Johnston Zager
  • Publisher: Taylor & Francis
  • ISBN: 1003839517
  • Category : Education
  • Languages : en
  • Pages : 393

Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.


Building Thinking Classrooms in Mathematics, Grades K-12

Building Thinking Classrooms in Mathematics, Grades K-12

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  • Author: Peter Liljedahl
  • Publisher: Corwin Press
  • ISBN: 1544374844
  • Category : Education
  • Languages : en
  • Pages : 454

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.


Five Practices for Orchestrating Productive Mathematics Discussions

Five Practices for Orchestrating Productive Mathematics Discussions

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  • Author: Margaret Schwan Smith
  • Publisher:
  • ISBN: 9781483351117
  • Category : Communication in mathematics
  • Languages : en
  • Pages : 104

Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.


Archaeological Theory in Practice

Archaeological Theory in Practice

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  • Author: Patricia A Urban
  • Publisher: Routledge
  • ISBN: 1000021173
  • Category : Social Science
  • Languages : en
  • Pages : 366

Many students view archaeological theory as a subject distinct from field research. This division is reinforced by the way theory is taught, often in stand-alone courses that focus more on logic and reasoning than on the application of ideas to fieldwork. Divorcing thought from action does not convey how archaeologists go about understanding the past. This book bridges the gap between theory and practice by looking in detail at how the authors and their colleagues used theory to interpret what they found while conducting research in northwest Honduras. This is not a linear narrative. Rather, the book highlights the open-ended nature of archaeological investigations in which theories guide research whose findings may challenge these initial interpretations and lead in unexpected directions. Pursuing those novel investigations requires new theories that are themselves subject to refutation by newly gathered data. The central case study is the writers’ work in Honduras. The interrelations of fieldwork, data, theory, and interpretation are also illustrated with two long-running archaeological debates, the emergence of inequality in southern Mesopotamia and inferring the ancient meanings of Stonehenge. The book is of special interest to undergraduate Anthropology/Archaeology majors and first- and second-year graduate students, along with anyone interested in how archaeologists convert the static materials we find into dynamic histories of long-vanished people.


For the Learning of Mathematics

For the Learning of Mathematics

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  • Author:
  • Publisher:
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 190