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Teaching Design and Implementation Based on the Problem-Chain Teaching Model: Taking "Sum of the First n Terms of an Arithmetic Sequence" as an Example

Author(s)

Zhaoliang Qiu, Qi Huang, Hongbin Mo, Yan Liang*

Affiliation(s)

School of Science, Guangdong University of Petrochemical Technology, Maoming, Guangdong, China *Corresponding Author

Abstract

Problem-based teaching has always been an important form in middle school mathematics teaching. Taking "the sum of the first n terms of an arithmetic sequence" as an example, this paper combines the problem-chain teaching model to bring students into a scenario and put forward phased problems step by step. It guides students to gradually connect the inquiry tasks in the problems with the learned knowledge, helps them understand the essence of "pairing thought", "term number calculation" and "reverse summation method", and master the formula for the sum of the first n terms of an arithmetic sequence. At the same time, it develops core competencies such as mathematical abstraction, logical reasoning and mathematical modeling, providing a replicable practical paradigm for high school mathematics concept teaching.

Keywords

Problem-chain Teaching Model; High School Mathematics; Sum of the First n Terms of an Arithmetic Sequence; Core Competencies

References

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