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  2. Socratic questioning - Wikipedia

    en.wikipedia.org/wiki/Socratic_questioning

    Socratic questioning (or Socratic maieutics) [1] is an educational method named after Socrates that focuses on discovering answers by asking questions of students. According to Plato, Socrates believed that "the disciplined practice of thoughtful questioning enables the scholar/student to examine ideas and be able to determine the validity of those ideas". [2]

  3. Cuisenaire rods - Wikipedia

    en.wikipedia.org/wiki/Cuisenaire_rods

    Cuisenaire rods are mathematics learning aids for pupils that provide an interactive, hands-on [1] way to explore mathematics and learn mathematical concepts, such as the four basic arithmetical operations, working with fractions and finding divisors. [2][3] In the early 1950s, Caleb Gattegno popularised this set of coloured number rods created ...

  4. Francis Bacon - Wikipedia

    en.wikipedia.org/wiki/Francis_Bacon

    Francis Bacon. Francis Bacon, 1st Viscount St Alban,[a] 1st Lord Verulam, PC (/ ˈbeɪkən /; [5] 22 January 1561 – 9 April 1626) was an English philosopher and statesman who served as Attorney General and Lord Chancellor of England under King James I. Bacon argued the importance of natural philosophy, guided by scientific method, and his ...

  5. Rule of inference - Wikipedia

    en.wikipedia.org/wiki/Rule_of_inference

    Transformation rules. In logic and the philosophy of logic, specifically in deductive reasoning, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions). For example, the rule of inference called modus ponens ...

  6. Critical thinking - Wikipedia

    en.wikipedia.org/wiki/Critical_thinking

    Critical thinking. Critical thinking is the analysis of available facts, evidence, observations, and arguments in order to form a judgement by the application of rational, skeptical, and unbiased analyses and evaluation. [1] In modern times, the use of the phrase critical thinking can be traced to John Dewey, who used the phrase reflective ...

  7. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    Logic. Logic studies valid forms of inference like modus ponens. Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of arguments alone, independent of their topic ...

  8. Van Hiele model - Wikipedia

    en.wikipedia.org/wiki/Van_Hiele_model

    Van Hiele model. In mathematics education, the Van Hiele model is a theory that describes how students learn geometry. The theory originated in 1957 in the doctoral dissertations of Dina van Hiele-Geldof and Pierre van Hiele (wife and husband) at Utrecht University, in the Netherlands. The Soviets did research on the theory in the 1960s and ...

  9. Reason - Wikipedia

    en.wikipedia.org/wiki/Reason

    Reason is the capacity of consciously applying logic by drawing valid conclusions from new or existing information, with the aim of seeking the truth. [1] It is associated with such characteristically human activities as philosophy, religion, science, language, mathematics, and art, and is normally considered to be a distinguishing ability possessed by humans.