Teaching Principles and Approaches for Solid Geometry in High School Mathematics Under the “Three New Initiatives” Context

DOI

10.2991/978-2-38476-523-2_18How to use a DOI?

Keywords

High School Mathematics; Solid Geometry; Teaching Principles

Abstract

This study examines the “Three New Initiatives” (new curriculum, new textbooks, and new college entrance exam) in detail and examines how they have affected the teaching of solid geometry in high school. It suggests three main teaching tenets and strategies to address issues including the subject’s high degree of abstraction and students’ struggles with spatial cognition. “Physical perception → virtual simulation → bidirectional verification” is the first premise of the Virtual-Physical Collaborative Exploration Approach. Students can develop a thorough spatial cognition system by combining practical exercises with tools like VR and GeoGebra. The second is the Principle of Problem-Driven Creativity, which rejects conventional approaches to problem-solving. It encourages pupils to think creatively by guiding them through abstract mathematics problems from everyday life through the sequence “Self-Formulated Questions → Investigative Verification → Outcome Generation.” The third is the Contextualization and Technology Integration Principle, which uses information technology and real-world contexts (like architecture and practical design) to pique students’ interest in learning and get past the abstract difficulties of solid geometry. This approach offers a useful way to teach solid geometry in high school math classes under the “Three New Initiatives” reforms.

Copyright

© 2025 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Yue Dong
AU  - Xiaoxia Wang
PY  - 2025
DA  - 2025/12/29
TI  - Teaching Principles and Approaches for Solid Geometry in High School Mathematics Under the “Three New Initiatives” Context
BT  - Proceedings of the 5th International Conference on New Media Development and Modernised Education (NMDME 2025)
PB  - Atlantis Press
SP  - 174
EP  - 180
SN  - 2352-5398
UR  - https://doi.org/10.2991/978-2-38476-523-2_18
DO  - 10.2991/978-2-38476-523-2_18
ID  - Dong2025
ER  -