Intro
Introduction
References
Acknowledgments
Contents
Chapter 1: Reflecting on Teaching Mathematics at University: Collaboration Among Mathematics Educators and Mathematicians
1.1 Introduction
1.2 Our Collaborative Narrative Research Studies (2009-2022)
1.2.1 The Language and Visualization in Linear Algebra (2009-2016)
1.2.2 Accommodating in the Formal World: Abstract Algebra (2012-2014)
1.2.3 Balancing Embodied, Symbolic, and Formal World Thinking in Teaching First-Year Calculus (2013-2014)

1.2.4 Physics Bridging the Embodied and Symbolic Worlds of Mathematical Thinking (2014-2015)
1.2.5 From Intuition to the Formal World of Mathematical Thinking: A Geometric Topologistś Thought Processes (2014-2016)
1.2.6 Moving Between the Worlds of Mathematical Thinking in Linear Algebra (2016-Present)
1.2.7 Language and Spoken Words in Linear Algebra (2021-Present)
1.2.8 Other Examples of Collaborative Activities with Mathematicians (2016-Present)
1.2.8.1 Algebra Issue in Calculus Classrooms
1.2.8.2 Challenges and Strategies in Teaching Linear Algebra

1.2.8.3 Linear Algebra Curriculum Study Group (LACSG 2.0)
1.2.8.4 Resources for Teaching Linear Algebra
1.2.8.5 Teaching Linear Algebra Proof
1.2.9 Summary
1.3 The Design of Our Collaborative Studies
1.4 A Vision for a Fruitful and Sustainable Collaboration Model Among Mathematics Educators and Mathematicians
References
Chapter 2: Promoting Effective Collaboration in the Mathematics Community
2.1 Introduction
2.2 Collaboration
2.3 Collaboration Within the Mathematics Community
2.4 Concluding Remarks
References

Chapter 3: Synergy Between Mathematicians and Mathematics Educators: Stories of Many, and Potent, Facets
3.1 Introduction
3.2 Part I: The Crucial, Yet Fragile, Relationship Between Mathematicians and Mathematics Educators
3.3 Part II: Propelling and Deepening the Relationship Between Mathematicians and Mathematics Educators
3.3.1 Teaching
3.3.2 Professional Development
3.4 Part III: Mathematicians and Mathematics Educators: Has the ``Beautiful Friendship/́́Joint and Multi-faced Enterprise Alre...
References

Chapter 4: Mind the Gap: Reflections on Collaboration in Research and Teaching
4.1 Background
4.2 The Research Projects
4.2.1 The First Project
4.2.2 A Second Project
4.2.3 Illustrative Lecture Vignettes
4.2.4 An Illustrative Boundary Encounter
4.2.5 General Outcomes
4.2.6 The Value to Individuals of the Boundary Activities
4.2.7 Final Comments
References
Chapter 5: Students Enjoying Transformed and Improved Learning Experiences of Mathematics in Higher Education
5.1 Introduction
5.2 Part 1: The Context for Transformation and Improvement