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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.
Tagsexposition education conceptual inquiry inquiry oriented education mathematical inquiry
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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.
Tagsexposition conceptual inquiry lesson plan mathematical inquiry
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.
Tagsexposition mathematics conceptual inquiry