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Introduction to Research Course

This is a transdisciplinary course on research taught by K.P. Mohanan at IISER. The first session was not recorded. This course contains the second session onwards. New videos will be added each week. The course is available here: Introduction to Research Course


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research observational inquiry statistical inquiry experimental inquiry humanistic inquiry aesthetic inquiry theoretical inquiry conceptual inquiry ethical inquiry inquiry oriented education scientific inquiry mathematical inquiry

Logics of Inquiry

The attached document introduces various types of logics including Classical Deductive, Inductive, Speculative Deductive, Causal, Abductive and Analogical. It explores their veracity and their domain of applicability.

Attachments

Logics Sci-Inq-5-16.pdf


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humanistic inquiry textbook logic reasoning textbook chapter ethical inquiry scientific inquiry mathematical 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


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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

Paper Folding Geometry

This document contains tasks to introduce mathematical thinking to students, including defining objects, coming up with conjectures, stating axioms precisely, and proving conjectures from axioms and definitions.

Attachments

PaperFoldingGeometryJuly 2011.pdf


Tags

mathematics justifying conjecturing proving mathematical inquiry

Introduction to Conceptual Inquiry

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.

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Attachments

Notes on Conceptual Inquiry.pdf


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video humanistic inquiry conceptual inquiry mathematical inquiry

Straw Shape Geometry

The attached documents are an example of a mathematical inquiry class. This is an example of a class which can be taken with students who are not yet ready for the rigor of proofs. It requires students to come up with conjectures after being exposed to curated examples of shapes made of straw.

Attachments

Math Inq-Unit 1-Student-Straw-Shapes.pdf

Math Inq-Unit 1-Teacher-Straw-Shapes.pdf


Tags

lesson handout mathematics justifying conjecturing proving lesson plan mathematical inquiry

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