This book addresses college students" weak foundation in algebra, its causes, and potential solutions to improve their long-term success and understanding in mathematics as a whole. The authors, who are experts in a wide variety of fields, emphasize that these difficulties are more complex than just forgotten rules, and offer strategic approaches from a number of angles that will increase the chances of student understanding. Instructors who are frustrated with their students" lack of skills and knowledge at college level will find this volume helpful, as the authors confront the deeper reasons why students have difficulties with Algebra and reveal how to remedy the issue.
Operation Algebra: Investigating University Students" Inadequacies.- Student Conceptions in Two-Year College Algebra Courses.- Rational Number Fluency Supports Student Success in Algebra.- Long Term Effects of Sense Making and Anxiety in Algebra.- Algebra as Part of an Integrated High School Curriculum.- Overcoming the Algebra Barrier: Being Particular about the General, and Generally Looking Beyond the Particular.- Teaching and Learning Middle School Algebra: Valuable Lessons from the History of Mathematics.- Cognitive Neuroscience and Algebra.- Valuable Lessons from the History of Mathematics.- Cognitive Neuroscience and Algebra.- Rethinking Algebra: A Versatile Approach Integrating Digital Technology.- Learning Linear Algebra by Using It.- School Algebra to Linear Algebra: Advance from the Symbolic to Formal World of Mathematical Thinking.
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