Dash and Prime: The Confusion Over Mathematical Notation


The pronunciation of mathematical and scientific symbols plays a critical role in fostering a shared understanding among learners and practitioners. In Japan, there is significant confusion surrounding the pronunciation of “dash” and “prime,” especially regarding the notation \( f^\prime \), which frequently appears in mathematics classes. This article delves into the issue and explores its implications.

The Problem: How Should \( f^\prime \) Be Pronounced?

The symbol \( f^\prime \), commonly seen in mathematics and physics, has two potential pronunciations:

  1. Dash
  2. Prime

In Japan, many people tend to pronounce this symbol as “dash.” However, the correct pronunciation, particularly in international academic contexts, is “prime.” A quick check of an English dictionary reveals the following:

  • Prime: Refers to the prime symbol, as in “A’” where the apostrophe-like mark is the prime symbol.
  • Dash: Refers to the dash symbol, such as the long horizontal line (―).

In mathematical contexts, the “′” in \( f^\prime \) should be pronounced as “prime” according to international standards.

Why Is It Commonly Called “Dash” in Japan?

The prevalence of calling \( f^\prime \) “dash” in Japan can be traced back to the country’s high school education system. For reasons unknown, mathematics classes in Japanese high schools teach students to refer to the symbol as “dash.” This practice has become entrenched, despite its inconsistency with the English-speaking world’s convention of calling it “prime.”

The author personally thought of the symbol as “dash” until entering university and majoring in mathematics. In university-level mathematics courses, “prime” is the standard pronunciation, and this revelation came as a surprise. Many students and educators in Japan likely share a similar experience.

The Importance of Differentiating Dash and Prime

While the difference in pronunciation might seem trivial at first glance, it carries significant weight in academic disciplines. Consistency and accuracy in terms and symbols are crucial for effective communication in the sciences. In international academic exchanges or when reading scholarly works, knowing the correct pronunciation can prevent misunderstandings.

Mistakenly pronouncing \( f^\prime (x) \) as “dash” can lead to confusion in international contexts. For instance, if one were to refer to the symbol as “dash” during a discussion with foreign researchers or instructors, they might struggle to understand what is being referenced.

Conclusion: Promoting Correct Pronunciation

The confusion between “prime” and “dash” likely stems from conventions in Japan’s education system. However, in universities and professional academic settings, “prime” is the standard pronunciation and aligns with international norms in mathematics and physics. It is time for Japanese mathematics education to adopt “prime” and disseminate this correct usage widely.

Promoting the correct pronunciation of “prime” in Japan’s mathematics education is not just about standardizing terminology. It also lays the groundwork for nurturing individuals who can excel in international academic environments. This small but meaningful change can be a step toward preparing students for global opportunities in mathematics and science.


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