Declarative Knowledge

Definition

Declarative knowledge refers to the understanding of facts, concepts, and information that can be consciously recalled and articulated. This type of knowledge includes knowing 'what' something is, rather than 'how' to do something, which is often referred to as procedural knowledge. In the context of learning, especially in mathematics, declarative knowledge serves as a foundation for students to build upon as they engage in problem-solving and critical thinking.

5 Must Know Facts For Your Next Test

1. Declarative knowledge is crucial for students as it enables them to remember important mathematical facts, such as formulas and definitions.
2. This type of knowledge helps learners develop a strong foundation in mathematics, which they can later apply when faced with more complex problems.
3. In self-regulated learning, students must be aware of their declarative knowledge to set appropriate goals and monitor their understanding effectively.
4. Metacognitive strategies can enhance declarative knowledge by encouraging students to reflect on what they know and identify gaps in their understanding.
5. Assessing declarative knowledge can involve various methods, such as quizzes and discussions, allowing teachers to gauge student comprehension.

Review Questions

• How does declarative knowledge support problem-solving in mathematics?
  • Declarative knowledge supports problem-solving in mathematics by providing students with essential information, such as theorems, definitions, and formulas. When students have a solid grasp of this foundational knowledge, they can apply it effectively when tackling complex problems. This understanding allows them to recognize which concepts are relevant in different situations and aids in their ability to analyze and solve mathematical challenges.
• In what ways can metacognitive strategies enhance a student's declarative knowledge?
  • Metacognitive strategies can enhance a student's declarative knowledge by promoting awareness of what they know and what they need to learn. For example, when students reflect on their understanding of mathematical concepts through self-questioning or summarizing information, they become more aware of gaps in their knowledge. This reflection can lead them to seek additional resources or engage in targeted practice, ultimately strengthening their overall comprehension and retention of important mathematical facts.
• Evaluate the impact of self-regulated learning on the development of declarative knowledge in mathematics education.
  • Self-regulated learning has a significant impact on the development of declarative knowledge in mathematics education by empowering students to take charge of their own learning. When students set specific goals related to what they need to learn and actively monitor their progress, they are more likely to engage with the material deeply. This proactive approach encourages them to explore concepts thoroughly, leading to better retention of facts and understanding that forms a robust foundation for further mathematical exploration.

Related terms

Procedural Knowledge: Procedural knowledge is the knowledge of how to perform certain tasks or processes, often involving skills and techniques.

Metacognition: Metacognition is the awareness and understanding of one's own thought processes, including self-regulation and monitoring of learning.

Self-Regulated Learning: Self-regulated learning involves taking control of one's own learning process by setting goals, self-monitoring, and reflecting on performance.