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BOOK REVIEW
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Science & Technology

May 7, 2025

Rebuilding Geometry Foundations: A Teacher's Essential Resource

by Franz Rothe

Reviewed by Peter Solomon

Book Browse Reflection

This book, A Course in Old and New Geometry II, offers middle to late high school and early college mathematics educators a valuable resource for strengthening their curriculum with fundamental Euclidean geometry. Its clear structure and explanations make complex concepts accessible, fostering students' critical thinking and problem-solving abilities.

It further provides middle to late high school and early college students with a solid grasp of fundamental Euclidean geometry through clear explanations and a structured approach. This accessibility allows them to develop critical thinking and problem-solving skills. Research indicates that incorporating hands-on activities and geometric constructions in teaching enhances students' understanding and retention.

Engaging actively through exercises and visual aids further improves the learning experience. Recognizing that students learn differently, the book's methods can help educators create varied learning opportunities to support all students in mastering geometric concepts. By integrating foundational principles with historical context and modern applications, educators can foster a deeper appreciation for mathematics and its relevance in theory and practice.

Furthermore, the book's approach supports differentiated instruction by offering multiple learning pathways. Educators and curriculum developers can leverage these insights to create math courses that emphasize foundational principles, historical context, and modern applications, thereby cultivating a deeper appreciation for the subject's relevance.

For specific research and data supporting these approaches, students and educators can consult educational journals and databases in mathematics education and developmental psychology. The practical implications of "A Course in Old and New Geometry II" are significant for effective teaching and curriculum development.

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