SelectedWorks - Alison Lynch

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Selected Works of Alison Lynch

Associate Professor, Mathematics & Statistics

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About Alison Lynch

2020 - Present	Associate Professor, California State University, Monterey Bay ‐ Department of Mathematics and Statistics
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution
2015 - 2020	Assistant Professor, California State University, Monterey Bay ‐ Department of Mathematics and Statistics
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Science and Mathematics Education, Mathematics, Algebra, and Discrete Mathematics and Combinatorics

Journal Articles (8)

Comprehensive example generation: mathematicians’ uses of examples when developing conjectures

Research in Mathematics Education (2022)

Alison G Lynch, Elise Lockwood and Amy B. Ellis

In this paper, we explore the role that examples play as mathematicians formulate conjectures, and we describe and exemplify one ...

A Redesign of Precalculus at California State University, Monterey Bay

Alysia Goyer, Alison G Lynch and Jeffrey O. Wand

With the goal of improving student success, the chancellor of the California State University (CSU) system issued an executive order ...

Students' Understanding of Counterexamples

Mathematics Teacher: Learning and Teaching PK-12 (2020)

Alison G Lynch and Rebecca Vinsonhaler

This article focuses on students use and understanding of counterexamples and is part of a research project on the role ...

A comparison between mathematicians’ and students’ use of examples for ...

The Journal of Mathematical Behavior (2017)

Alison G. Lynch and Elise Lockwood

Examples can play a productive role in the development of conjectures and proofs, but there is more to learn about ...

Student thinking with examples: The criteria-affordances-purposes-strategies framework

The Journal of Mathematical Behavior (2017)

Amy B. Ellis, Zekiye Ozgur, Rebecca Vinsonhaler, Muhammed Fatih Dogan, et al.

A persistent challenge in supporting students’ proof activity is fostering the transition from less formal, empirical arguments to formal deductive ...

Mathematicians’ Example-Related Activity when Exploring and Proving Conjectures

International Journal of Research in Undergraduate Mathematics Education (2016)

Elise Lockwood, Amy B. Ellis and Alison G. Lynch

Examples can play a critical role in the exploration of conjectures and in the subsequent development of proofs. Although proof ...

Cauchy pairs and Cauchy matrices

Linear Algebra and its Applications (2015)

Let K denote a field and let X denote a finite non-empty set. Let MatX(K) denote the K-algebra consisting of ...

Centralizers in the R. Thompson group Vn

Groups, Geometry, and Dynamics (2013)

Collin Bleak, Hannah Bowman, Alison G Lynch, Garret Graham, et al.

Let n ≥ 2 and let α ∈ Vn be an element in the Higman-Thompson group Vn. We study the ...

Early Undergraduates’ Emerging Conceptions of Proof and Conviction

Proceedings of the Twenty-first Annual Conference on Research in Undergraduate Mathematics Education (2018)

Alison G Lynch and Ryan Pugh

Before enrolling in an introduction-to-proof course, undergraduates often hold conceptions of mathematical proof that do not align with those accepted ...

Exhaustive Example Generation: Mathematicians’ Uses of Examples When Developing Conjectures

Proceedings of the Eighteenth Annual Conference on Research in Undergraduate Mathematics Education (2015)

Elise Lockwood, Alison G Lynch and Amy B. Ellis

This paper explores the role examples play as mathematicians formulate conjectures. Although previous research has examined example-related activity during the ...

Mathematicians’ Example- Related Activity in Formulating Conjectures

Proceedings of the Joint Meeting of PME 38 and PME-NA 36 (2014)

Elise Lockwood, Alison G Lynch, Amy B. Ellis and Eric Knuth

This paper explores the role examples play in mathematicians’ conjecturing activity. While previous research has examined example-related activity during the ...

Contribution to Book

Redefining Success: A Multifaceted Approach to Assessing Departmental Change in ...

Justice Through the Lens of Calculus: Framing New Possibilities for Diversity, Equity, and Inclusion (2023)

Judith Canner, Jennifer Clinkenbeard, Steven Kim, Alison G Lynch, et al.

In 2018, the faculty in the Department of Mathematics and Statistics redesigned all general education courses and implemented support structures ...