Geometry Book — Walker And Miller

From a collector's standpoint, the Walker and Miller geometry book 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’s sequencing of congruence postulates (Side-Angle-Side, Side-Side-Side) was standard for the time, but their justification was notably rigorous for a high school text. They treated the concept of "superposition" (placing one figure on top of another) with caution, often presenting it as an intuitive assumption rather than a rigorous proof, thereby maintaining logical integrity while acknowledging the limitations of the student’s mathematical maturity.

They placed a significant emphasis on the triangle as the central figure of geometry. Before delving into quadrilaterals or circles, the text ensured the student mastered triangle congruence, similarity, and inequality. This "triangle-centric" approach provided a strong foundation for all subsequent topics.

Typical organization (topics commonly covered and how they’re treated):

In the standard editions of Walker and Miller, solid geometry was often treated in a separate section or volume, following the tradition of the time. However, the authors frequently included "spatial" exercises within the plane geometry sections. They encouraged students to visualize plane figures as faces of three-dimensional objects, a pedagogical strategy known today as "spatial structuring." This prevented the common student misconception that geometry applies only to flat, textbook drawings.

If you open a digital PDF or a physical copy of the Walker and Miller geometry book today, three distinct features stand out immediately: walker and miller geometry book

Searching for reviews of the Walker and Miller geometry book on Reddit or The Well-Trained Mind forums often yields a mix of reverence and frustration. The primary complaint is the lack of hand-holding. The answer key for this book (if you can find the separate Teacher’s Manual) is extremely sparse. There are no "worked-out solutions" in the back of the student edition.

Furthermore, the Walker and Miller geometry book uses terminology that has fallen out of fashion. Terms like "mensuration," "oblique prism," and "frustum of a pyramid" are used freely, assuming a vocabulary that many high schoolers today simply do not possess. For a parent teaching at home without a math background, this book can feel like an impenetrable fortress.

If you have a physical copy titled Geometry by authors Walker and Miller (likely a regional or private school text from the 1960s–80s), check the copyright page. Look for:

If you cannot find any references to this title in library catalogs (WorldCat) or math forums, it is possible the book is a workbook, a teacher’s edition, or a misremembered title (confused with Dolciani’s Geometry or Moise and Downs). In that case, the strategies above still apply to any deductive geometry text. From a collector's standpoint, the Walker and Miller