Inquiry into Mathematics Teaching in Senior High School  —Taking "Planar Analytic Geometry" as an Example

Abstract

Analytical geometry was an important course in high school mathematics learning, and innovative teaching was the main direction of curriculum reform. Therefore, how to innovate in analytic geometry teaching was one of the important problems in high school mathematics teaching. Based on the teaching content and practice, and comparing with the teaching methods of analytic geometry in foreign countries, the key and difficult points of analytic geometry teaching in senior high school mathematics are clarified by studying the main contents of analytic geometry in senior high school and its teaching significance. On the premise of paying attention to the knowledge base, it is proposed that geometric intuition should be taught in combination with reasonable reasoning and deductive reasoning. On this basis, the geometric sketchpad should be fully utilized as a supplement, and mathematical stories should be appropriately interspersed to arouse students' interest.

Pre-service mathematics teachers’ geometric reasoning skills with technology-integrated guided inquiry approach

“…In addition, geometry learning can improve PSMTs' mathematical abilities, specifically their reasoning and spatial abilities (Pitttalis & Christou, 2010). However, geometry, in particular, is a mathematical content identified as a major area, where learners fail to develop an adequate understanding of the concept, reasoning abilities, and problem-solving skills (Adolphus, 2011;Dimla, 2018;Hua et al, 2019;Mamali, 2015;MoE, 2017;Suantoa et al, 2019). Furthermore, Fyfe et al (2015) claimed that the misunderstandings of geometric concepts are the sources of the learning difficulties of other mathematical concepts.…”

The Effects of a Discovery Learning Module on Geometry for Improving Students’ Mathematical Reasoning Skills, Communication and Self-Confidence

“…The subjects studied are cube, prism, and pyramid that was taught in their secondary school in the second semester. The geometry topic is the mathematical subjects that students were challenging to understand (Hua, Tang, Sun & Han, 2019). The difficulty of understanding students in the topic of geometry lies in the basic concepts and the application of formulas in solving problems (Fonna & Mursalin, 2019).…”