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Walking Through Algebraic Thinking with Theme-based (mobile) Math Trails

Walking Through Algebraic Thinking with Theme-based (mobile) Math Trails
Author: Ana Barbosa
Publisher:
Total Pages: 0
Release: 2022
Genre:
ISBN:

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Tasks are a key resource in the process of teaching and learning mathematics, which is why task design continues to be one of the main research issues in mathematics education. Different settings can influence the principles underlying the formulation of tasks, and so does the outdoor context. Specifically, a math trail can be a privileged context, known to promote positive attitudes and additional engagement for the learning of mathematics, confronting students with a sequence of real-life tasks, related to a particular mathematical theme. Recently, mobile devices and apps, i.e., MathCityMap, have been recognized as an important resource to facilitate the extension of the classroom to the outdoors. The study reported in this paper intends to identify the principles of design for mobile theme-based math trails (TBT) that result in rich learning experiences in early algebraic thinking. A designed-based research is used, through a qualitative approach, to develop and refine design principles for TBT about Sequences and Patterns. The iterative approach is described by cycles with the intervention of the researchers, pre-service and in-service teachers and students of the targeted school levels. The results are discussed taking into account previous research and data collected along the cycles, conducing to the development of general design principles for TBT tasks.


Broadening the Scope of Research on Mathematical Problem Solving

Broadening the Scope of Research on Mathematical Problem Solving
Author: Nélia Amado
Publisher: Springer
Total Pages: 579
Release: 2018-11-30
Genre: Education
ISBN: 3319998617

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The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.


Math Trails

Math Trails
Author: Mary Margaret Shoaf-Grubbs
Publisher:
Total Pages: 136
Release: 2004
Genre: Mathematics
ISBN: 9780912843766

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Mathematics Education in the Digital Age

Mathematics Education in the Digital Age
Author: Alison Clark-Wilson
Publisher: Routledge
Total Pages: 246
Release: 2021-05-24
Genre: Education
ISBN: 1000390799

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The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital age This book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.


Technology in Mathematics Teaching

Technology in Mathematics Teaching
Author: Gilles Aldon
Publisher: Springer
Total Pages: 335
Release: 2019-07-01
Genre: Education
ISBN: 3030197417

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This book comprises chapters featuring a state of the art of research on digital technology in mathematics education. The chapters are extended versions of a selection of papers from the Proceedings of the 13th International Conference on Technology in Mathematics Teaching (ICTMT-13), which was held in Lyon, France, from July 3rd to 6th. ICTMT-13 gathered together over one hundred participants from twenty countries sharing research and empirical results on the topical issues of technology and its potential to improve mathematics teaching and learning. The chapters are organised into 4 themed parts, namely assessment in mathematics education and technology, which was the main focus of the conference, innovative technology and approaches to mathematics education, teacher education and professional development toward the technology use, and mathematics teaching and learning experiences with technology. In 13 chapters contained in the book, prominent mathematics educators from all over the world present the most recent theoretical and practical advances on these themes This book is of particular interest to researchers, teachers, teacher educators and other actors interested in digital technology in mathematics education.


Algebra

Algebra
Author: Anita Wah
Publisher: Henri Picciotto
Total Pages: 540
Release: 1994
Genre: Mathematics
ISBN: 9781561072514

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The Popularization of Mathematics

The Popularization of Mathematics
Author: A. G. Howson
Publisher: Cambridge University Press
Total Pages: 222
Release: 1990-11-22
Genre: Mathematics
ISBN: 9780521408677

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This book presents the papers arising from the ICMI study seminar on the popularization of mathematics held at the University of Leeds, UK, 17-22 September 1989. The event was organized in conjunction with a highly successful touring exhibition known as the 'Pop Maths Roadshow'. Inspired by the discussion document prepared by Howson, Kahane and Pollak, the symposium consisted of three plenary sessions discussing the problems faced in the popularization through particular media. Members were present from a variety of backgrounds and discussion groups were devoted to specific themes, such as the image of mathematicians, TV and films, and mathematics in different cultures.


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

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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.


Learning to Think Spatially

Learning to Think Spatially
Author: National Research Council
Publisher: National Academies Press
Total Pages: 333
Release: 2005-02-03
Genre: Education
ISBN: 0309092086

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Learning to Think Spatially examines how spatial thinking might be incorporated into existing standards-based instruction across the school curriculum. Spatial thinking must be recognized as a fundamental part of Kâ€"12 education and as an integrator and a facilitator for problem solving across the curriculum. With advances in computing technologies and the increasing availability of geospatial data, spatial thinking will play a significant role in the information-based economy of the twenty-first century. Using appropriately designed support systems tailored to the Kâ€"12 context, spatial thinking can be taught formally to all students. A geographic information system (GIS) offers one example of a high-technology support system that can enable students and teachers to practice and apply spatial thinking in many areas of the curriculum.


Living Proof

Living Proof
Author: Allison K. Henrich
Publisher:
Total Pages: 136
Release: 2019
Genre: Academic achievement
ISBN: 9781470452810

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Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.