Mathematicians' reflections on teaching [electronic resource] : a symbiosis with mathematics education theories / Sepideh Stewart, editor.

Format:

Book

Contributor:

Stewart, Sepideh, editor.

Series:

Advances in mathematics education (Springer (Firm))

Advances in Mathematics Education

Language:

English

Subjects (All):

Mathematics--Study and teaching.

Mathematics.

Physical Description:

1 online resource (286 p.)

Place of Publication:

Cham, Switzerland : Springer, [2023]

Summary:

This book opens the case on collaboration among mathematicians and mathematics educators. The authors of this book provide their research and experience based insights on collaboration to inspire the young generation of the mathematics community to engage in productive collaborations and exchange of knowledge early in their careers. These valuable collaborations are anticipated to generate innovative research questions that set new and novel paths for mathematics education research with ample possibilities yet to be realized and discovered.

Contents:

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

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...

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

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

Notes:

Description based upon print version of record.

Includes bibliographical references.

5.2.1 The Case for Change

Other Format:

Print version: Stewart, Sepideh Mathematicians' Reflections on Teaching

ISBN:

9783031342950

303134295X

OCLC:

1393303941

Access Restriction:

Restricted for use by site license.