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An Exploration of the Intuitive Cultivation Approach in Junior High School Mathematics Geometry

Bawu Li, Yue Li, Zhiyou Zhang

Abstract


This paper takes the cultivation of students' geometric intuition as the starting point and the cultivation of the idea of constructing auxiliary lines in junior high school mathematics geometry problems as the perspective. Through a detailed analysis of mathematics
geometry problems, the method for cultivating the idea of constructing auxiliary lines in geometry problems is obtained: constructing auxiliary lines according to the Angle to solve the problem; According to the setting of the problem, construct the auxiliary line to solve the
problem by using the idea of reverse derivation and transformation; Construct auxiliary lines to solve the problem based on the relationship between points and lines. It aims to develop students' ability to construct auxiliary lines while promoting the development of the core
literacy of geometric intuition.

Keywords


Geometric intuition; Auxiliary lines; Core element

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References


[1] Li Ba Wu, Li Yue. On the Common Methods of Adding Auxiliary Lines: Starting from a Plane Geometry Problem in the High School

Entrance Examination [J]. Teaching and Learning of Junior High School Mathematics, 2024, (19): 45-47.

[2] Li R, Yang Z. Reflection on Implementing Geometric Intuition in the Junior High School Mathematics Classroom[J]. Asian Journal of

Education and Social Studies, 2023, 49(4):55-60.

[3] Gu Jiling, Zhang Fei. Design Types and Principles of "geometric Intuitiveness" in Junior High School Mathematics textbooks [J]. Journal of Mathematics Education, 2021, 30(06):59-63+91.

[4] Kong Fanzhe, Shi Ningzhong. On the Meaning and Form of Geometric Intuition - Some Insights into the Compulsory Education Mathematics Curriculum Standards (2011 Edition) [J]. Curriculum, teaching materials, teaching methods, 2012, 32 (7): 92-97.

[5] Zhu Shengqiang. Cultivating students' ability to Analyze, Explore and Solve Problems through Geometric intuition [J]. Bulletin of

Mathematics, 2022, 61(08):46-49+57.

[6] Zhou Taiping. Analysis of Strategies for Cultivating Geometric Intuition Literacy among Junior High School students [J]. Reference for

Middle School Mathematics Teaching, 2023(20):76-78.

[7] Tao Jun. Adding Auxiliary Lines Based on Geometric Intuition to Skillfully Solve Proof Problems [J]. Reference for Middle School

Mathematics Teaching, 2023(30):53-54+71.

[8] Jiang Wenwei. The Role of Geometric Intuition Thinking in Scientific Research and Mathematics Teaching [J]. Journal of Mathematics

Education, 1997, (04):67-71.




DOI: http://dx.doi.org/10.70711/neet.v4i2.8665

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