Visualizing DNA dimensions through simplified mathematical models

Taghrid Ibrahim Hussein; Tahia Dabash; Mohamed Salem

doi:10.55056/seq.1064

Authors

Taghrid Ibrahim Hussein Tanta University Author
Tahia Dabash Tanta University Author https://orcid.org/0000-0002-4943-7145
Mohamed Salem Tanta University Author https://orcid.org/0000-0003-0840-5291

DOI:

https://doi.org/10.55056/seq.1064

Keywords:

DNA structure, , Molecular geometry,, K–12 science education, hydrogen bonding

Abstract

The mathematical equations that underlie molecular biology experiments are frequently too complicated for efficient K–12 education. By offering a straight-forward, yet precise mathematical method for determining important geometrical features of DNA, this work seeks to close this gap. Our approach, which was considered with the teaching methodology in mind, makes it easier for K–12 students and early-stage learners to understand without sacrificing scientific accuracy. In accordance with experimental data, we computed the hydrogen bond length (0.23 nm), the diameter of the DNA double helix (2 nm), and the distance between nitrogenous bases (0.32 nm) using basic geometry. Additionally, we demonstrated that the compact structure of the DNA helix associated practically zero spatial separation between hydrogen bonds in sequential base pairs. In conclusion, our approach facilitates DNA-based education by applying simple mathematical equations for simple presentation of molecular measurement. We also provide a classroom-ready 45–60 minute lesson plan with worked examples and practice items, plus differentiation options for mixed-ability classes (scaffolds for weaker trigonometry backgrounds and extension tasks for advanced students). In addition, we point to free digital tools (e.g., GeoGebra and molecule viewers) that teachers can use to help students visualize the geometry interactively.

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