Procedural Knowledge

Definition

Procedural knowledge refers to the understanding of how to perform specific tasks or procedures. This type of knowledge is essential for applying concepts and solving problems, as it involves the processes and techniques needed to execute mathematical operations effectively. In the context of learning, procedural knowledge is closely linked with metacognition and self-regulated learning, as students not only need to know how to perform a procedure but also must be aware of their understanding and regulation of their learning processes.

5 Must Know Facts For Your Next Test

1. Procedural knowledge is often demonstrated through the ability to solve mathematical problems using appropriate algorithms or techniques.
2. Effective metacognitive skills can enhance procedural knowledge by enabling learners to reflect on their problem-solving strategies and make adjustments when necessary.
3. Students who develop strong procedural knowledge are better equipped to tackle complex problems and transfer their skills to new situations.
4. In mathematics education, it's crucial to balance procedural knowledge with conceptual understanding to foster well-rounded problem solvers.
5. Research indicates that students who engage in self-regulated learning strategies show improved procedural knowledge retention and application.

Review Questions

• How does procedural knowledge contribute to effective problem-solving in mathematics?
  • Procedural knowledge contributes to effective problem-solving in mathematics by providing students with the specific steps and techniques needed to tackle mathematical tasks. When students possess strong procedural skills, they can apply these methods efficiently to find solutions. Additionally, having a solid foundation in procedural knowledge allows students to focus on analyzing and interpreting problems rather than getting bogged down by uncertainty about how to proceed.
• Discuss the relationship between metacognition and procedural knowledge in the context of mathematics education.
  • Metacognition and procedural knowledge are deeply interconnected in mathematics education. Metacognitive awareness allows students to reflect on their understanding of procedures, evaluate their effectiveness, and make informed adjustments during problem-solving. When students engage in metacognitive practices, they can monitor their progress, recognize when they are struggling with a procedure, and seek help or strategies that enhance their procedural skills. This interplay ultimately leads to more effective learning outcomes.
• Evaluate the impact of self-regulated learning on the development of procedural knowledge in mathematics.
  • Self-regulated learning significantly impacts the development of procedural knowledge in mathematics by empowering students to take charge of their learning process. When students set personal goals for mastering specific procedures, they actively engage in practice and reflection. This self-directed approach encourages persistence and adaptability, allowing learners to refine their procedural skills over time. As a result, self-regulated learners tend to demonstrate higher levels of proficiency in executing mathematical tasks compared to those who rely solely on external instruction.

Related terms

Metacognition:

Metacognition is the awareness and understanding of one's own thought processes, including self-reflection on how one learns and applies knowledge.

Self-Regulated Learning:

Self-regulated learning is the process by which students take control of their own learning by setting goals, monitoring their progress, and reflecting on their understanding.

Conceptual Knowledge: Conceptual knowledge refers to the understanding of concepts, principles, and theories that underlie procedural knowledge, allowing for a deeper comprehension of how and why procedures work.