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About the Book
In this master's thesis, Dr. Lisa A. Johnson Q.M.E., examines the impact of three reasoning skills - number sense, structure sense, and abstract reasoning - on algebra and geometry. The study concentrates its efforts on data compiled at Union High School, consisting of forty-eight math students and eight math teachers. Through the efforts of this study, Dr. Johnson determined that algebra relies on abstract reasoning and structure sense, while geometry does not. Moreover, Dr. Johnson observed that further instruction needs to be given to teachers on communicating the three reasoning skills, as the teachers studied were not sufficiently knowledgeable in these areas. With teacher improvements, students in non-sufficient school systems could better excel in mathematics.
Book Details
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The Impact on Algebra vs. Geometry of a Learner's Ability to Develop Reasoning Skills
Dr. Lisa Annette Johnson
June 4, 2026
978-1972759127
56
Nonfiction
About the Author

Dr. Lisa Annette Johnson
Dr. Lisa Annette Johnson is an extensively educated author and researcher with a diverse background in chemical and health sciences. Based in Hayward, California, her journey has taken her across the globe, where she has conducted research that informs both her fiction and non-fiction works. With degrees spanning multiple disciplines, Lisa draws from a vast body of knowledge and experience to explore a wide range of subjects in her writing. Her foray into storytelling was inspired by a request from her older sister, who urged her to craft a chilling tale. That story evolved into a horror novel, which was met with enthusiasm and led to its publication. Not long after, a publisher approached Lisa about publishing her master's thesis in math curriculum, which she completed while earning her Master's in Education. She writes from the edge of uncertainty, where silence carries weight and every shadow hints at something concealed. Her stories move through layered landscapes - both physical and psychological - drawing readers into worlds where truth is elusive and nothing is ever quite what it seems. She continues to engage with her audience, blending scientific insight with captivating storytelling.
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