And the Rest is Just Algebra

Part I. Current State of Students’ Inadequacies, Conceptions and Fluency of Algebra in the US Colleges

1. Algebra Underperformances at College Level: What Are the Consequences?
Sepideh Stewart, Stacy Reeder

2. Examining the Role of Prior Experience in the Learning of Algebra
Mercedes McGowen

Part II. College Algebra in a Broader Context

3. Long-Term Effects of Sense Making and Anxiety in Algebra
David Tall

4. Misconceptions and Learning Algebra
Julie L. Booth, Kelly M. McGinn, Christina Barbieri, Laura K. Young

5. A Deep Understanding of Fractions Supports Student Success in Algebra
Stacy Reeder

Part III. Positive Approaches to the Teaching of Algebra

6. Overcoming the Algebra Barrier: Being Particular About the General, and Generally Looking Beyond the Particular, in Homage to Mary Boole
John Mason

7. Algebra as Part of an Integrated High School Curriculum
James T. Fey, David A. Smith

8. Teaching and Learning Middle School Algebra: Valuable Lessons from the History of Mathematics
Mala S. Nataraj, Mike Thomas

Part IV. Proposed Future Developments

9. Cognitive Neuroscience and Algebra: Challenging Some Traditional Beliefs
Carolyn Kieran

10. Rethinking Algebra: A Versatile Approach Integrating Digital Technology
Mike Thomas

Part V. Teaching Higher Algebra

11. Why Does Linear Algebra Have to Be So Abstract?
John Hannah

12. School Algebra to Linear Algebra: Advancing Through the Worlds of Mathematical Thinking
Sepideh Stewart

Keywords: Education, Mathematics Education, Learning & Instruction