Mastering geometry using this textbook requires a deliberate, active approach to reading and practicing mathematics.
: Do not skip steps in the two-column proofs. Write down the exact postulate or theorem justification for every single assertion.
The book then transitions into similarity, exploring proportional reasoning through (Angle-Angle) similarity and the geometric mean, laying a firm foundation for introductory trigonometry. Polygons and Quadrilaterals
From a collector's standpoint, the is moderately rare. First editions from the late 1920s, particularly those with the original dust jackets (which were usually plain paper), can fetch upwards of $75–$150 on AbeBooks or eBay. The more common "Revised Editions" from the 1940s are easier to find and usually cost between $20 and $50. However, later reprints under the D. Appleton-Century banner are lesser in quality according to purists, who claim the typeface was muddled in the revision process. walker and miller geometry book
I would be happy to help you find specific theorems, recommend supplementary textbooks, or break down complex proofs to fit your learning goals. The Geometry of Walker Manifolds
If your book lacks an answer key (common for out-of-print texts), form a study group. Geometry is inherently social—explaining a proof to someone else is the fastest way to see your own logical gaps.
This public link is valid for 7 days and shares a thread, including any personal information you added. This link or copies made by others cannot be deleted. If you share with third parties, their policies apply. Can’t copy the link right now. Try again later. The more common "Revised Editions" from the 1940s
Plane geometry formed the backbone of the curriculum. The chapters were typically broken down as follows:
This approach was rooted in the belief that geometry is a vehicle for training the mind. The authors categorized problems by difficulty, a pedagogical technique that allowed teachers to differentiate instruction long before the term "differentiation" entered educational jargon. The text provided the axioms and postulates clearly, then challenged the student to use these tools to solve problems of increasing complexity.
The history of mathematics education in the United States is often delineated by "eras"—the classical era, the progressive era, the "New Math" era, and the subsequent "Back to Basics" movement. Nestled firmly between the progressive educational philosophies of the 1930s and the Cold War anxieties of the late 1950s sits the standard geometry textbook by Walker and Miller. For nearly two decades, this text was a staple in American high schools, shaping the spatial reasoning and logical capabilities of the "Greatest Generation" and the early Baby Boomers. The note was dated 1987
The note was dated 1987, and it read:
The book introduces geometry not as a series of disconnected formulas to memorize, but as a vast, interconnected web of logic. It begins with the absolute fundamentals: (point, line, plane) Postulates and axioms (accepted truths) Theorems (propositions requiring logical proof)
Many classical academies, homeschooling networks, and rigorous STEM programs are returning to vintage textbooks. They find that the direct, un-distracted presentation of Walker and Miller fosters a deeper attention span and a stronger mathematical backbone. The book does not shield students from the cognitive friction of a difficult proof; instead, it provides them with the exact tools needed to conquer it. Finding a Copy and Modern Legacy