Unrated – Page 17 – Mathematical Association of America

Featured Resources

Leveraging Makerspaces to Shape Teachers into Leaders of Student-Centered STEM Pedagogy

By Erin Moss The Robert Noyce Teacher Scholarship Program provides support for recruiting and preparing effective K-12 STEM teachers for sustained work in high-need school districts. Track 3 of the four Noyce funding tracks provides opportunities for experienced K-12 STEM teachers to develop into leaders in high-need school districts. Towson University and Morgan State University...

Should we teach limits?

By David Bressoud @dbressoud As of 2024, new Launchings columns appear on the third Tuesday of the month. Last month I completed a series of thirteen columns on ``Calculus for Teachers'' in which I explored some of the deeper origins and understandings of common topics in university calculus. These included Continuity (December 2024), the Mean Value...

Classical Lie Algebras at Infinity

Although this book has some of the trappings of a text (e.g., exercises and clear exposition), and originated from upper-level graduate courses taught by the first author, it is primarily addressed to an audience of researchers: people who are, or aspire to be, specialists in the area of locally reductive infinite-dimensional Lie algebras and superalgebras. This...

The Man from the Future: The Visionary Ideas of John von Neumann

John von Neumann’s second wife, Klári, called him a “contradictory and controversial person; childish and good-humoured, sophisticated and savage, brilliantly clever yet with a very limited, almost primitive lack of ability to handle his emotions – an enigma of nature that will have to remain unresolved.” The Man from the Future deftly presents his era,...

Notes on Hamiltonian Dynamical Systems

The theory of Hamiltonian dynamical systems has a rich history, going back to at least the nineteenth century. Celestial mechanics provided a good deal of the original motivation, but the scope has expanded considerably since then. In this book the author provides a very complete development of the theory that is accessible to newcomers and...

100+1 Problems in Advanced Calculus

The book 100+1 Problems in Advanced Calculus by P.Toni, D. Lamberti, and G. Drago provides one-hundred problems on various calculus topics. It consists of eight chapters whose content complexity gradually increases following, to a certain extent, a sequence of a traditional textbook for an undergraduate calculus course. From this standpoint, this book can be used as a...

A Gateway to Number Theory: Applying the Power of Algebraic Curves

A Gateway to Number Theory: Applying the Power of Algebraic Curves by Keith Kendig highlights a beautiful interface of number theory and geometry. Specifically, the book focuses on techniques for solving homogenous Diophantine equations of degree less than or equal to three and the fruitful method of translating a “number theory problem into one of finding rational points...

Algebra and Geometry

See our reviews of the other two volumes in this series, Precalculus, Calculus, and Beyond, and Rational Numbers to Linear Equations. Algebra and Geometry is the second of three volumes by Hung-Hsi Wu rigorously exploring secondary mathematical content. The aim of this text, as the author explains, is to provide a coherent, clear, complete, and rigorous treatment of content from...

Accuracy of Mathematical Models: Dimension Reduction, Homogenization, and Simplification

Unambiguous determination of the accuracy and reliability of mathematical models is a complex problem, very difficult without the kind of complete quantitative verification that is rarely possible. Even when experimental data are compared to the results of a computation based on a mathematical model, differences can arise that are not due to the model itself,...

Disciplinary Literacy and Gamified Learning in Elementary Classrooms

In this text, Drs. Haas, Metzger, and Tussey provide eight chapters of quests about three elementary-aged siblings who travel via a lava lamp to different thrilling locations, such as Stonehenge, Machu Picchu, and The Great Wall of China. The children complete various discipline-specific tasks at each destination. For each chapter, there are three elementary-themed quests:...

Pop-Up Geometry

We have all received birthday, holiday, or congratulatory pop-up greeting cards. The motions and actions of these pop-up cards provided us with an additional amusement. And, many of us have watched children learn with delight when they page through a Pop-Up book. How many of us have ever wondered about or considered the complexity of...

Quasi-Interpolation

Approximation theory continues to be an important component of several areas of applied mathematics. In particular, techniques that enable development of approximants to data and functions with noise that require smoothing – especially in high dimensions – are badly needed. Situations requiring approximation arise with competing requirements. One can interpolate in conventional ways by insisting...

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