Question

Starting at the foundation of something someone may already know

Answer 1

Using a useful foundation of existing knowledge helps students learn new concepts, especially in mathematics. This concept aligns with foundationalism, where all learning is built on a base of justified beliefs. The Old-before-New principle in writing similarly guides the introduction of new concepts by leveraging what is already known.

Step-by-step explanation:

The concept described talks about using a useful foundation of prior knowledge and intuition that students already have to build further understanding or recall forgotten rules, particularly in the context of learning mathematics. The approach suggests that starting with what one already knows can provide a strong base to test and apply new information or rules, ensuring they lead to the correct answer. This promotes a form of personal ownership and internal mastery over the subject matter, where creating simple customized problems based on this foundation can help students to self-validate their progress and correct their path when necessary.

In a broader educational context, this approach is mirrored by the idea of foundationalism, where knowledge is built in a linear fashion from a solid base of justified beliefs. Just as a building requires a foundation before the superstructure is added, learning involves constructing knowledge from basic to complex concepts. Understanding the reliability of foundational beliefs or basic knowledge is crucial as this is what supports the entire framework of understanding and cognition.

Writers are advised to apply the Old-before-New principle, where known information is presented before new information to ensure clarity and comprehension. This is not only relevant in writing and communication but also in pedagogical strategies which include reviewing elementary concepts to reinforce and build upon higher-order thinking and problem-solving skills.

Answer 2

Starting at the foundation of something implies using existing knowledge to build or enhance new understanding, essential in educational methodologies like founded learning and constructivist pedagogy, particularly in mathematics and other disciplines such as history and writing.

Step-by-step explanation:

Starting at the foundation of something someone may already know implies the use of existing knowledge and intuition to build or enhance understanding of new concepts. This approach is widely applicable in educational contexts and aligns with principles of founded learning and constructivist pedagogy, which both underscore the value of connecting new learning to prior knowledge to foster deeper comprehension.

In mathematics, for instance, leveraging a useful foundation of basic rules can aid students in reconstructing forgotten mathematical principles. By creating customized simple problems, students can confirm that they are applying the correct mathematical rules. This technique allows students to claim personal ownership of their understanding and mastery over mathematical concepts.

The concept of foundationalism extends beyond mathematics, as it can also be observed in other disciplines such as history and language arts. For example, foundational beliefs in history are ones that are justified based on a linear progression of evidence or witness, as in the recollection of historical facts like the Battle of Hastings occurring in 1066. Likewise, writing practices, such as the Old-before-New principle, direct writers to sequence information in a way that connects known or 'old' information with new concepts, enhancing reader comprehension.