IJWC_Fall+2021_85-95

Author Information

  • Author: Sara Daily

  • Affiliation: Middle Tennessee State University

  • Background: Bachelor's in Film and Video Production, 2016; currently pursuing a Master's in Curriculum and Instruction focusing on Elementary Education.

  • Research Interests: Improving education for elementary students.

Abstract

  • Productive Struggle: A strategy aimed at enhancing students' mathematical knowledge and understanding.

  • Benefits: Helps students connect concepts, identify errors, and enhance their reasoning skills.

  • Consequences of Lack of Productive Struggle: Students may not develop deeper understanding and may struggle with math in the future.

Introduction to Productive Struggle

  • Definition: An instructional strategy encouraging students to utilize their own reasoning abilities to solve math problems (Murdoch et al., 2020).

  • Goals: Develop conceptual understanding and confidence in problem-solving skills.

  • Implementation Difficulty: Requires teachers to have a strong understanding of the material to guide students effectively without giving direct answers.

  • Teacher Challenges: Allows for discomfort as students struggle, raising the question of the value of this approach.

Productive Struggle Instruction

  • Quality Education Indicator: Recognized in policies and research as essential for conceptual math understanding (Murdoch et al., 2020).

  • Traditional vs. Productive Struggle: Traditional methods focus on formulas; Productive Struggle emphasizes independent problem-solving.

  • Student Competence: Teaching formulas may lead to dependency and lower self-perception in math abilities.

Goals of Productive Struggle Instruction

  • Deep Thinking: Encourage students to think deeply and develop problem-solving skills (Amidon et al., 2020; Baker et al., 2020; Granberg, 2016).

  • Long-term Benefits: Students who devise their own methods often score better on tests and adapt more easily to different problem scenarios.

  • Time Resource Limitation: Teachers often rush to provide answers instead of allowing students time to struggle productively.

Challenges in Implementing Productive Struggle

  • Teacher’s Knowledge Requirement: Teachers must possess a deep understanding of content to facilitate effective struggle.

  • Student Individuality: Diverse backgrounds require tailored strategies for each student (Murdoch et al., 2020).

  • Limited Research: Not much focus on Productive Struggle in elementary contexts compared to secondary education.

Theoretical Foundations

  • Constructivist Understanding (Kamii): Emphasizes that children develop knowledge internally rather than through direct instruction (Kamii, 1982, 2000).

  • Scaffolding (Vygotsky): Guides students within their zone of proximal development to enhance understanding and problem-solving capabilities.

Benefits of Productive Struggle for Students

  • Learning from Mistakes: Struggles support learning and bring about self-directed knowledge (Lemley et al., 2019).

  • Pride and Joy: Success through struggle fosters positive emotions about mathematics (O’Dell, 2018).

Teaching Strategies for Productive Struggle

  • Encouraging Deep Thinking: Utilize questions that promote cognitive engagement (Ewing et al., 2019).

  • Supporting Self-Explanation: Students should explain their reasoning to enhance understanding and rectify mistakes (Baker et al., 2020).

  • Exploratory Learning: Allow students to explore problems before formal instruction (Vazquez et al., 2020).

Addressing Potential Problems in Productive Struggle

  • Overcoming Anxiety: Provide support to manage feelings of anxiety linked to struggling with problems (Murdoch et al., 2020).

  • Teacher’s Role: Shift focus from providing answers to guiding students through the thinking process (Amidon et al., 2020).

Parent Involvement in Productive Struggle

  • Parental Resistance: Parents may struggle with new teaching methodologies, causing frustration (Russo et al., 2021).

  • Understanding is Key: Educating parents on the benefits of Productive Struggle is essential for coherence in approach between home and school.

Conclusion

  • Essentials of Productive Struggle: Highlighted as a vital instructional method fostering deeper understanding in mathematics (Amidon et al., 2020; Baker et al., 2020).

  • Need for Student Understanding: Encouraging struggle allows for appreciation of the learning process and builds competence in mathematics.