Exploring Mathematical Modeling with Young Learners

2021-06-01
Exploring Mathematical Modeling with Young Learners

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  • Author: Jennifer M. Suh
  • Publisher: Springer Nature
  • ISBN: 3030639002
  • Category : Education
  • Languages : en
  • Pages : 440

This book conceptualizes the nature of mathematical modeling in the early grades from both teaching and learning perspectives. Mathematical modeling provides a unique opportunity to engage elementary students in the creative process of mathematizing their world. A diverse community of internationally known researchers and practitioners share studies that advance the field with respect to the following themes: The Nature of Mathematical Modeling in the Early Grades Content Knowledge and Pedagogy for Mathematical Modeling Student Experiences as Modelers Teacher Education and Professional Development in Modeling Experts in the field provide commentaries that extend and connect ideas presented across chapters. This book is an invaluable resource in illustrating what all young children can achieve with mathematical modeling and how we can support teachers and families in this important work.

GAIMME

2016
GAIMME

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  • Author: Solomon A. Garfunkel
  • Publisher:
  • ISBN: 9781611974430
  • Category : Mathematical models
  • Languages : en
  • Pages : 216

GAIMME

2016
GAIMME

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  • Author: Solomon A. Garfunkel
  • Publisher:
  • ISBN: 9781611974447
  • Category : Mathematical models
  • Languages : en
  • Pages : 216

The Common Core Mathematics Companion: The Standards Decoded, High School

2017-09-12
The Common Core Mathematics Companion: The Standards Decoded, High School

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  • Author: Frederick L. Dillon
  • Publisher: Corwin Press
  • ISBN: 1506395635
  • Category : Education
  • Languages : en
  • Pages : 504

When it comes to math, standards-aligned is achievement-aligned… Since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical math ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. The authors lay out the pieces of an in-depth explanation, showing the mathematical progression of each conceptual category, how standards connect within and across domains, and what teachers and students should be doing every day to foster deep learning.

Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

2017-12-09
Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

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  • Author: Eric W. Hart
  • Publisher: Springer
  • ISBN: 3319703080
  • Category : Education
  • Languages : en
  • Pages : 276

This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.

Linear Algebra for the 21st Century

2020-10-09
Linear Algebra for the 21st Century

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  • Author: Anthony Roberts
  • Publisher: Oxford University Press
  • ISBN: 0192598325
  • Category : Science
  • Languages : en
  • Pages : 750

Customarily, much of traditional mathematics curricula was predicated on 'by hand' calculation. However, ubiquitous computing requires us to refresh what we teach and how it is taught. This is especially true in the rapidly broadening fields of Data Mining and Artificial Intelligence, and also in fields such as Bioinformatics, which all require the use of Singular Value Decomposition (SVD). Indeed, SVD is sometimes called the jewel in the crown of linear algebra. Linear Algebra for 21st Century Applications adapts linear algebra to best suit modern teaching and application, and it places the SVD as central to the text early on to empower science and engineering students to learn and use potent practical and theoretical techniques. No rigour is lost in this new route as the text demonstrates that most theory is better proved with an SVD. In addition to this, there is earlier introduction, development, and emphasis on orthogonality that is vital in so many applied disciplines throughout science, engineering, computing and increasingly within the social sciences. To assimilate the so-called third arm of science, namely computing, Matlab/Octave computation is explicitly integrated into developing the mathematical concepts and applications. A strong graphical emphasis takes advantage of the power of visualisation in the human brain and examples are included to exhibit modern applications of linear algebra, such as GPS, text mining, and image processing. Active learning is encouraged with exercises throughout that are aimed to enhance ectures, quizzes, or 'flipped' teaching.

Mathematical Modelling for Teachers

2018-10-01
Mathematical Modelling for Teachers

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  • Author: Jürgen Maaß
  • Publisher: Springer
  • ISBN: 3030004317
  • Category : Education
  • Languages : en
  • Pages : 168

While there are many areas of focus in mathematics education, there are many good reasons for offering applicable mathematics education in schools. Let us just mention two of the most important reasons. On the one hand, a focus on the practical side of mathematics presents a convincing and motivating answer to the typical student question: ‘Why study mathematics?’ On the other hand, education policy seems inclined to move in this direction by implementing international testing, curricula and catalogues of skills. The most important feature of this book is that the authors speak directly to you, the mathematics teachers. The authors attempt to draw you into a continuous dialogue about activities you are asked to engage in as learners. You are asked to do something, and through doing and reflecting you will gain first-hand experience of new approaches and materials. In this way, you can learn to teach applicable mathematics to your students using your own experience as learners of applicable mathematics, motivated and supported by the book. Here applicable mathematics education is the phrase we use to describe reality-based mathematics education. Reality-based mathematics relies heavily on problem solving and a positive disposition to engage with mathematics. Modelling reality and simulating selected aspects of reality are other pillars of reality-based mathematics education.

Improving Applied Mathematics Education

2021-03-18
Improving Applied Mathematics Education

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  • Author: Ron Buckmire
  • Publisher: Springer Nature
  • ISBN: 3030617173
  • Category : Education
  • Languages : en
  • Pages : 94

This book presents various contemporary topics in applied mathematics education and addresses both interested undergraduate instructors and STEM education researchers. The diverse set of topics of this edited volume range from analyzing the demographics of the United States mathematics community, discussing the teaching of calculus using modern tools, engaging students to use applied mathematics to learn about and solve problems of global significance, developing a general education course for humanities and social sciences students that features applications of mathematics, and describing local mathematical modeling competitions and their use in providing authentic experiences for students in applying mathematics to real world situations. The authors represent diversity along multiple dimensions of difference: race, gender, institutional affiliation, and professional experience.

STEM & Open Schooling for Sustainability Education

STEM & Open Schooling for Sustainability Education

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  • Author: Michiel Doorman
  • Publisher: WTM-Verlag Münster
  • ISBN: 3959873042
  • Category : Education
  • Languages : en
  • Pages : 216

Our current society faces enormous environmental challenges. Now is the time to stand up for a sustainable future. This request for action also concerns our STEM education community to take the transformational potential of teaching and learning. Teachers are decisive factors in ensuring the achievement of creative and sustainable learning outcomes in mathematics and science education, in fostering young peoples’ competences and empowering them to become responsible and active citizens. We need to share good practices, research results and innovative classroom materials that allow for implementing approaches that support the implementation and scaling up of education for sustainability. Educating the Educators (ETE) is an international conference series on professional development in STEM (science, technology, engineering and mathematics) education that brings together teacher educators, policy makers, teachers and various other stakeholders related to STEM education. The fourth edition of the ETE conference series was hosted by Utrecht University, ICSE and the Naturalis Biodiversity Center in the Netherlands, in collaboration with the MOST project. ETE IV focused on implementing and scaling up innovative teaching approaches in STEM education with an emphasis on open schooling for sustainability education. The aim was to discuss different ways of working, the roles of teaching materials, and structures needed for innovations in STEM education. ETE IV featured both traditional and innovative formats to benefit of a diverse circle of participants from research, practice and policy. Vivid exchange and collaborative work were ensured through spaces for co-creation. This volume reflects the main topics of discussion and the participants’ conference experiences.

Your Mathematics Standards Companion, High School

2018-02-06
Your Mathematics Standards Companion, High School

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  • Author: Frederick L. Dillon
  • Publisher: Corwin Press
  • ISBN: 1544317433
  • Category : Education
  • Languages : en
  • Pages : 536

Transforming the standards into learning outcomes just got a lot easier This expansion of the popular Common Core Mathematics Companions provides a Cross-Referencing Index for states implementing their own specific mathematics standards. This index allows you to see in an instant which of your standards are the same as CCSS-M, which differ and how—and which page number to turn to for standards-based teaching ideas. Beyond that? It’s the same great go-to guide for guide for teaching, planning, assessing, collaborating, and designing powerful high school mathematics curriculum, in any state or district.