Bringing together the research of leading international scholars in the field of digital learning, "Designing Effective Digital Learning Environments" discusses cutting-edge advancements in digital technology and presents an evidence-informed summary of best practices for effective design principles and implementation within educational…

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…

Modern technology has enhanced many aspects of life, including classroom education. By offering virtual learning experiences, educational systems can become more efficient and effective at teaching the student population. The "Handbook of Research on Collaborative Teaching Practice in Virtual Learning Environments" highlights program…

"It's All Connected" provides teachers of mathematics the support they need to improve their instruction. This in-demand collection of lessons for grades 6-8 explores proportionality, proportional relationships, and proportional reasoning, acknowledging that the ability to reason proportionally is crucial in the middle school mathematics…

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

This textbook commences with a brief sketch of the history of Elementary Geometry. The definitions throughout have been somewhat amplified, and several notes have been added which it is hoped may be found useful and suggestive. The subject of Ratio has been expanded; a few new propositions have been added; and there is a considerable collection of…

This textbook is designed to be used in a geometry course incorporating the writings of Euclid. The object of this edition now offered to the public, is not so much to give the writings of Euclid the form which they originally had, as that which may at present render them most useful. The author believes that the use of algebraic signs and…

This textbook covers the first six books of the elements of Euclid, the 11th and 12th books, and the book of Euclid's data. Elements of plane and spherical trigonometry are included.

This textbook covers geometry and trigonometry with addition of a fuller explanation of rectangular surveying, as well as a more particular explanation of the use of natural sines. The book's primary goal is teaching common field surveying. This edition adds practical matter, as well as the only table of natural tangents ever published in this…

This textbook covers geometry and trigonometry and presents problems for student consideration. Geometry principles are applied to surface and solid measurement. Tables of logarithms and logarithmic sines are included. [This book was translated from the French of A. M. Legendre. It was revised and abridged by Charles Davies.]

This textbook presents readings in geometry and the theory of infinitesimals.

This textbook covers geometry and trigonometry and presents problems for student consideration. Contents include geometry, plane trigonometry, analytical trigonometry, spherical trigonometry, and mensuration. [This book was adapted by Charles Davies.]

This textbook presents principles, ratios and proportions, the circle and measurement of angles, the proportions of figures and the measurement of areas, regular polygons and measurement of the circle, planes and solid angles, polyhedrons, the three round bodies, spherical triangles and spherical polygons, regular polyhedrons, plane and spherical…

This textbook presents definitions and remarks, axioms, properties of polygons, ratios and proportions, planes and their angles, measurement of areas and proportions of figures, solids, and mensuration of surfaces, solids, and round bodies.

Since all manner of quantities require to be compared together, in mathematical computations, and their various relations searched out and determined and as most of our knowledge in mathematical subjects depends on the proportions of several things to one another: so it is requisite that the nature of proportion, and the methods of reasoning…