Principles and Practices in Arithmetic Teaching

Principles and Practices in Arithmetic Teaching
Author: Julia Anghileri
Publisher:
Total Pages: 232
Release: 2001
Genre: Education
ISBN:

Traditionally the approach to teaching arithmetic at the primary level has been based upon algorithms. Changes are underway that provide opportunities for children to develop more effective mental strategies. This study focuses on these changed methods.

Principles to Actions

Principles to Actions
Author: National Council of Teachers of Mathematics
Publisher: National Council of Teachers of Mathematics, Incorporated
Total Pages: 139
Release: 2014-02
Genre: Curriculum planning
ISBN: 9780873537742

This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

5 Principles of the Modern Mathematics Classroom

5 Principles of the Modern Mathematics Classroom
Author: Gerald Aungst
Publisher: Corwin Press
Total Pages: 141
Release: 2015-10-09
Genre: Education
ISBN: 1506322999

Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces

The Impact of Identity in K-8 Mathematics Learning and Teaching

The Impact of Identity in K-8 Mathematics Learning and Teaching
Author: Julia Aguirre
Publisher:
Total Pages: 126
Release: 2013
Genre: Educational equalization
ISBN: 9780873536899

Each teacher and student brings many identities to the classroom. What is their impact on the student’s learning and the teacher’s teaching of mathematics? This book invites K–8 teachers to reflect on their own and their students’ multiple identities. Rich possibilities for learning result when teachers draw on these identities to offer high-quality, equity-based teaching to all students. Reflecting on identity and re-envisioning learning and teaching through this lens especially benefits students who have been marginalized by race, class, ethnicity, or gender. The authors encourage teachers to reframe instruction by using five equity-based mathematics teaching practices: Going deep with mathematics; leveraging multiple mathematical competencies; affirming mathematics learners’ identities; challenging spaces of marginality; and drawing on multiple resources of knowledge. Special features of the book: Classroom vignettes, lessons, and assessments showing equity-based practices Tools for teachers’ self-reflection and professional development, including a mathematics learning autobiography and teacher identity activity at nctm.org/more4u Suggestions for partnering with parents and community organisations End-of-chapter discussion questions

The Five Practices in Practice [Elementary]

The Five Practices in Practice [Elementary]
Author: Margaret (Peg) Smith
Publisher: Corwin Press
Total Pages: 241
Release: 2019-08-14
Genre: Education
ISBN: 1544321147

Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. • Video excerpts vividly illustrate the five practices in action in real elementary classrooms • Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion • Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.

Making Every Maths Lesson Count

Making Every Maths Lesson Count
Author: Emma McCrea
Publisher: Crown House Publishing Ltd
Total Pages: 171
Release: 2019-05-01
Genre: Education
ISBN: 1785834215

In Making Every Maths Lesson Count: Six principles to support great maths teaching, experienced maths teacher and lecturer Emma McCrea takes away the guesswork as she sums up the key components of effective maths teaching. Maths classrooms are incredibly complex places. At any given time, the factors influencing the effectiveness of your teaching are boundless and this can lead to relying on intuition as to what might work best. This book aims to signpost a route through this complexity. Writing in the practical, engaging style of the award-winning Making Every Lesson Count, Emma McCrea helps teachers to move beyond trial and error by sharing evidence-informed tips and suggestions on how they can nudge the impact of their teaching in the right direction. Making Every Maths Lesson Count is underpinned by six pedagogical principles challenge, explanation, modelling, practice, feedback and questioning and presents 52 high-impact strategies designed to streamline teacher workload and ramp up the level of challenge in the maths classroom. The book draws out the key findings from the latest research on memory, learning and motivation and each chapter features numerous worked examples to demonstrate the theory in action, together with a concluding series of questions that will help maths practitioners relate the content to their own classroom practice. Furthermore, Emma's writing offers clarity around the language of maths teaching and learning, and also delves into the finer points of how to identify and address any misconceptions that students may hold. Written for new and experienced practitioners alike, this gimmick-free guide provides sensible solutions to perennial problems and inspires a rich, challenging and evidence-based approach to the teaching of maths. Suitable for maths teachers of students aged 11 to 18 years, and for primary school maths specialists.

Mathematics Teaching Today

Mathematics Teaching Today
Author: Terese Herrera
Publisher: National Council of Teachers of English
Total Pages: 228
Release: 2007
Genre: Education
ISBN:

Mathematics Teaching Today: Improving Practice, Improving Student Learning, Second Edition, updates the NCTM groundbreaking publication Professional Standards for Teaching Mathematics, first published in 1991. Like the original, this updated volume articulates a vision for effective mathematics teaching and describes the support systems that are required to achieve that vision. This book delineates Standards for various aspects of the teaching profession, including teachers' practise, professional supervision, collegial interaction and career-long professional growth. However, more than curriculum standards documents are needed to improve student learning and achievement. Teaching matters. Therefore, exploring what goes on in mathematics classrooms is essential to identifying issues and looking for opportunities for improvement. Principles and Standards for School Mathematics provides a framework for professional practise that supports the NCTM's vision of more and better mathematics for all children. This book expounds on that framework, explicating the roles of teachers, supervisors, teacher educators, mathematicians, professional developers, parents, politicians, community members and others in improving the teaching and learning of mathematics. The Standards offer a vision for high-quality mathematics teaching and support structures for teachers. What matters in the long run, however, is how classrooms across North America are transformed and how teaching practises evolve to address the mathematical learning needs of children.