A Study on the Effectiveness of High School Mathematics Assignment Design in the Context of the “Three New” Initiatives——Taking the 2019 People's Education Press Edition A Textbook as an Example

Abstract

With the comprehensive implementation of the “General High School Mathematics Curriculum Standards (2017 Edition, 2020 Revision),” China's high school mathematics education has officially entered the “Three New” era of new curriculum, new textbooks, and new college entrance examinations. The core of this transformation lies in developing students' core competencies and fulfilling the fundamental mission of fostering virtue through education. As an extension and refinement of classroom instruction, the effectiveness of mathematics homework design directly impacts the achievement of curriculum objectives. Against this backdrop of the “Three New Initiatives,” this paper references the 2019 People's Education Press Edition A high school mathematics textbook to thoroughly analyze the shortcomings of traditional homework design, such as monotonous formats, detachment from practical applications, and neglect of individual differences. Building upon this foundation and integrating detailed teaching practice cases with relevant educational theories, the paper systematically constructs effective homework design principles oriented toward “core competencies”: purposefulness and competency-based design, tiered and optional approaches, contextual and applied tasks, inquiry-based and open-ended assignments, and integrated and interdisciplinary assignments. Furthermore, the paper proposes four highly effective and practical homework models: unit-integrated assignments, project-based learning tasks, tiered flexible assignments, and mathematical writing/reflection exercises. It elaborates on their design essentials and assessment methods. This research aims to provide frontline teachers with actionable homework design approaches and paradigms, driving a profound shift in high school mathematics instruction from “knowledge-centered” to “competency-centered” education to tangibly enhance educational quality.