In order to alleviate the aforementioned problems, we propose in this
article an alternative instruction that centres around Earth geometry, a topic
occupying a major portion of Unit 4, Topic 3: Time and Place 2 of Essential
Mathematics in the ACARA (2010) draft. Being included in Essential
Mathematics confirms its importance and usefulness in making sense of the
world. While reading the article, keep in mind that it is not intended as standalone
instruction in trigonometry, as it is based on our experience of
supplementing the main lesson, and that it can be adopted partially, depending
on the curriculum. As pointed out by the late Ralph P. Boas, Jr.
(1912–1992): “there is not time for enough practice on each new topic; and
even if there were, it would be insufferably dull … he gets this practice in less
distasteful form by studying more advanced mathematics” (Boas, 1957). At
the very least, our instruction provides students with necessary practice based
on real-life situations and prepares them for more advanced courses.