Euclidean, Non-Euclidean, and Transformational Geometry: A Deductive Inquiry

Dr. Shlomo Libeskind is a professor emeritus at the University of Oregon mathematics department. He has extensive writing experience (books and articles). In teaching and in writing, Dr. Libeskind uses a heuristic approach to problem solving and proof; in this approach the reasonableness of each step in a solution or proof is emphasized along with a discussion on why one direction might be more promising than another. Dr. Libeskind received his PhD in Mathematics in 1971 at the University of Wisconsin, Madison.

Dr. Isa Jubran has nearly 30 years of experience teaching a wide range of undergraduate mathematics courses at SUNY Cortland. He regularly teaches a junior-level geometry course and a first-year elementary geometry course, where he emphasizes the proper use of dynamic geometry software. Occasionally, he teaches a sophomore/junior level fractals and chaos course.

Dr. Shlomo Libeskind 是俄勒岡大學數學系的名譽教授。他擁有豐富的寫作經驗（書籍和文章）。在教學和寫作中，Libeskind 博士採用啟發式的方法來解決問題和證明；在這種方法中，強調解決方案或證明中每一步的合理性，並討論為什麼某一方向可能比另一方向更具潛力。Libeskind 博士於1971年在威斯康辛大學麥迪遜分校獲得數學博士學位。

Dr. Isa Jubran 在 SUNY Cortland 教授各類本科數學課程近30年。他定期教授大三的幾何課程和大一的基礎幾何課程，並強調動態幾何軟體的正確使用。偶爾，他也會教授大二/大三的分形與混沌課程。