The Discovering series incorporates problem solving, real-world applications, conceptual understanding and mathematics as sense making. When given the opportunity to be actively involved in their own discovery of mathematics, students become better problem solvers and develop a deeper understanding of the concepts. Scientific research supports these pedagogical approaches, which are central to this series. With Discovering Algebra , students solve problems, make sense of complex situations, and develop mathematical skills in a meaningful and retrievable way.
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Students used traditional geometry tools along with patty paper, mirrors, string, balloons, and even Chinese take-out cartons. His students, working in cooperative groups, explained their reasoning behind their geometric discoveries first to their group mates and then to the entire class.
Michael developed his own classroom curriculum, field testing and refining the material until he saw success with his students and support from his colleagues. This material evolved into his innovative textbook, Discovering Geometry.
Michael has been a mathematics educator for over 45 years. He taught high school mathematics in San Francisco for more than 30 years, serving as a district mentor teacher to colleagues and as a master teacher to numerous student teachers. Michael was the lead presenter at the Discovering Geometry Summer Institutes and taught geometry to prospective elementary school teachers at San Francisco State University.
Since , Michael has been offering professional development for teachers interested in pursuing a discovery approach to geometry. He is a popular speaker at state, regional, and national mathematics conferences in more than 40 U. He was hired as a mathematics consultant to school systems in more than 25 states, the Department of Defense, and St. Croix in the U. Virgin Islands. He creates exciting mathematical games and puzzles, allowing the students to experience advanced mathematics before they are formally introduced to them in later grades.
Michael has published articles in numerous math newsletters and journals. In addition to his critically acclaimed textbook Discovering Geometry, he has created the Discovering Geometry Video Series for use with his textbook and other videos that focus on geometry projects.
Discovering Geometry Student Edition
Discovering Geometry, Fifth Edition