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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.
Tagsmathematical inquiry exposition education conceptual inquiry inquiry oriented education
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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.
Tagsexposition humanistic inquiry education conceptual inquiry ethical inquiry inquiry oriented education
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.
Tagsmathematical inquiry exposition conceptual inquiry lesson plan
Conceptual Inquiry involves the investigation of abstract concepts such as parallel lines, species, free will and democracy. It cuts across disciplines and is important in order to understand where disagreements really exist and where words just have different meanings for different people. The attached document and the embedded playlist explore Conceptual Inquiry through case studies including parallel lines and democracy.View More
Tagsmathematical inquiry video humanistic inquiry conceptual inquiry