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Bayesian Priests and Girls

In Classical Deductive reasoning, you cannot say anything about Q -> P from P -> Q. However, probabilistic reasoning allows you to say something about the probability of Q given P from the probability of P given Q. The attached document explores this through two examples.

Attachments

Bayesian Priests and Girls.pdf


Tags

biases probability exposition justifying scientific inquiry

Region of Inexactness

Attachments

Region of Inexactness.pdf


Tags

exposition science conceptual inquiry scientific inquiry

What is Science?

Attachments

Whatisscience.pdf


Tags

exposition science reasoning justifying conceptual inquiry scientific inquiry

Introduction to Justification

Providing students with the ability to justify claims is one of the basic commitments of Inquiry Oriented Education. The attached documents explores the concepts involved in justification as well as bunch of exercises and examples for students to engage with.

Attachments

IntrotoJustification.pdf


Tags

exposition humanistic inquiry textbook chapter justifying scientific inquiry mathematical inquiry

Notes on Circumscription

There are various problematic concepts which students and teachers tend to accept without thinking critically. The concept of cicumscription is one such concept. The attached document outlines a concept clarification session on circumscription.

Attachments

Notes on Circumscription.pdf


Tags

exposition conceptual inquiry lesson plan mathematical inquiry

Product of Negative Numbers

The attached document explores various ways of inuitively understanding negative numbers, especialy the product of two negative numbers. When working with positive numbers, repeated addition and scaling are ways to understand multiplication. However, the same techniques do not work in explaining the product of negative numbers.

Attachments

ProductNegativeNumber.pdf


Tags

exposition mathematics conceptual inquiry

Teaching Moral Inquiry

The attached document is a guide to preparing classroom material and scenarios for a course on Moral/Ethical Inquiry, involving the construction of moral theories. It contains a lot of examples of scenarios which can be introduced to students in order to get them to think about how they should live their lives.

Attachments

Teaching Moral Inquiry.pdf


Tags

exposition humanistic inquiry education conceptual inquiry ethical inquiry inquiry oriented education

Introduction to Mathematical Inquiry

Mathematics is the study of possible worlds. The attached document explores, through examples and exposition, the nature of mathematical inquiry as well as the concepts involved in the study of mathematics, namely axioms, definitions, conjectures, proofs and theorems.

Attachments

Mathematical Inq knowledge.pdf


Tags

exposition education conceptual inquiry inquiry oriented education mathematical inquiry