This is an Accepted Manuscript version of the following article, accepted for publication in International Journal of Mathematical Education in Science and Technology. Dr Colin Foster (2024) The peer-review process, International Journal of Mathematical Education in Science and Technology, 55:1, 1-3, DOI: 10.1080/0020739X.2023.2293601. It is deposited under the terms of the Creative Commons Attribution-NonCommercial License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited.