Mathematical Symbols in Academic Writing - The Case of Incorporating Mathematical Ideals in Academic Writing for Education Researchers

Oct 15, 2026

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Mathematical symbols are essential for expressing complex relationships in academic writing, yet many education researchers and students avoid mathematical narratives involving algebra, geometry, or statistics. The article proposes lowering the access threshold for quantum-conception-embedded writing by using the pendulum motion equation as a reference. It argues that academic English or French genres that integrate quantum-related mathematical symbols and conceptual change improve debate refinement, support new quantum-cognition-informed conceptions, clarify students’ symbol understanding, and enable a new taxonomy.

LanguageEnglish

CategoryResearch & Report

FormatPDF

Pages19

Reading Time48 min

AccessFree to download

Introduction

Research problem and access threshold

Proposed language-teaching perspective

Theoretical proposal and argument

Academic genres and fused mathematical symbols

Probability and conceptual change

Reference framework and structure

Simple pendulum motion illustration

Differentiating writing elements

Mathematical Symbols in Academic Writing: The Case of Incorporating Mathematical Ideals in Academic Writing for Education Researchers A journal of educational research and practice 2024 Vol. 33 (1) 66−84 [https://journals.library.brocku.ca/brocked](https://journals.library.brocku.ca/brocked) Lin Li* Faculty of Education, University of Windsor Abstract Mathematical symbols, such as those embodying quantum concepts, are indispensable for conveying complex ideas and relationships in academic writing. However, some education researchers and students keep a distance from anything mathematical: algebraic equations, geometrical reasoning, or statistical symbols. How to lower the access threshold for this type of mathematical narrative and reveal the meanings of a range of quantum conceptions to modern educators thus becomes a real problem. Using the pendulum motion equation as a reference point, I argue in this article for the advantages of academic English or French writing genres that fuse a range of mathematical symbols of quantum concepts and conceptual change. Such writings help demonstrate how incorporating the idea of probability (a) refines the debate among conceptual, verbal, and mathematical academic writing; (b) allows new conceptions that draw on the insights from quantum cognition-supported theories; (c) helps explain students’understanding of mathematical symbols; and (d) offers a new taxonomy for categorizing academic writings. Keywords: academic writing, quantum concepts, probability, taxonomy, mathematical narrative * [li81@uwindsor.ca](li81@uwindsor.ca) Introduction In 2022 , the federal government of Canada published its position statement, Canada’s National Quantum Strategy, characterizing the nation as a quantum pioneer and envisioning a new strategy supported by three pillars: research, talent, and commercialization (Government of Canada, 2022) . The statement called for provincial and international collaboration to reinforce such a three-pronged foundation. However, the consulted stakeholders in this national strategy share a growing concern about the talent pool challenge that is likely to pose a counterproductive problem in implementing the future-shaping agenda. In this aspect, they noted that “(r)epresentation in key fields relevant to the quantum sector is currently imbalanced, so Canada is missing out on a critical supply of new ideas and talent in a highly competitive international market” (p. 21) . One way to restore the balance as liberal arts educators is to promote quantum educational programs, especially those using mathematical symbols and their epistemic significance in academic activities. Even as advocated by the federal position statement, quantum-related conceptions tend to stir mixed feelings in some education researchers when contemplating the involvement of the underlying mathematical structures and their written expressions (Haven & Khrennikov, 2017) . Education researchers and students often keep a distance from anything mathematical: algebraic equations, geometrical reasoning, or statistical symbols, ignoring their essential role in academic writing and embracing a mathematical symbol-free writing style (Hutto, 2013; Hutto & Myin, 2014) . At the other end of the attitude spectrum toward mathematical expressions, some education researchers try to fill up a page with an array of mathematical or statistical equations without a clear explanation of the underlying conceptual structure familiar to most readers (Hõhn, 2017) . Either writing style is unsatisfactory for the purpose of instruction, especially when understanding quantum conceptions is one of the long-term goals of instructional activities. How to lower the access threshold for this type of quantumconception-embedded written narratives and reveal the meanings of a range of such mathematical functions, symbols, parameters, numbers, and units to modern education researchers and students thus becomes a real proble

FAQs

Why do education researchers and students often avoid mathematical writing in academic contexts?

They may keep a distance from algebraic equations, geometrical reasoning, or statistical symbols, favoring mathematical symbol-free styles or writing that lacks clear conceptual explanation.

What example does the article use to support its argument about quantum-related mathematical narrative?

The pendulum motion equation is used as a reference framework to illustrate how quantum conceptions can be expressed through mathematical symbols.

What advantages does the article claim for academic English or French writing genres that integrate quantum symbols?

Such genres refine debates through probability, enable new quantum-cognition-supported conceptions, explain students’ understanding of mathematical symbols, and offer a new taxonomy for categorizing academic writings.

Oct 15, 2026

Uploaded by Blitz