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  2. Traditional mathematics - Wikipedia

    en.wikipedia.org/wiki/Traditional_mathematics

    The Common Core Standards, which have been adopted by most states since 2011, adopt such a mediating position for curricula, requiring students to achieve both procedural fluency and conceptual understanding. The Common Core does not endorse any particular teaching method, but does suggest students solve word problems using a variety of ...

  3. Math wars - Wikipedia

    en.wikipedia.org/wiki/Math_wars

    [20] The Panel effectively called for an end to the Math Wars, concluding that research showed "conceptual understanding, computational and procedural fluency, and problem-solving skills are equally important and mutually reinforce each other. Debates regarding the relative importance of each of these components of mathematics are misguided."

  4. Common Core - Wikipedia

    en.wikipedia.org/wiki/Common_Core

    Rigor: Pursue conceptual understanding, procedural skills and fluency, and application with equal intensity; As an example, here is the description of one of the key shifts, a greater focus on fewer topics: [40] The Common Core calls for greater focus in mathematics.

  5. Procedural knowledge - Wikipedia

    en.wikipedia.org/wiki/Procedural_knowledge

    Conceptual understanding precedes procedural skill. [38] Instruction about concepts as well as procedures can lead to increased procedural skill. [39] And increasing conceptual knowledge leads to procedure generation. [40] [41] However, this relationship is not unidirectional. Conceptual and procedural knowledge develop iteratively, but the ...

  6. Principles and Standards for School Mathematics - Wikipedia

    en.wikipedia.org/wiki/Principles_and_Standards...

    The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]

  7. Remember versus know judgements - Wikipedia

    en.wikipedia.org/wiki/Remember_versus_know...

    Findings suggest that regardless of perceptual or conceptual factors, distinctiveness of processing at encoding is what affects remembering, and fluency of processing is what affects knowing. [2] Remembering is associated with distinctiveness because it is seen as an effortful, consciously controlled process. [ 2 ]

  8. How People Learn - Wikipedia

    en.wikipedia.org/wiki/How_People_Learn

    "In-depth understanding requires detailed knowledge of the facts within a domain. The key attribute of expertise is a detailed and organized understanding of the important facts within a specific domain." Thus, the debate within education between advocates of deep conceptual understanding and advocates of broad factual understanding misses the ...

  9. Instructional scaffolding - Wikipedia

    en.wikipedia.org/wiki/Instructional_scaffolding

    Instructional scaffolding is the support given to a student by an instructor throughout the learning process. This support is specifically tailored to each student; this instructional approach allows students to experience student-centered learning, which tends to facilitate more efficient learning than teacher-centered learning.