Inductive and Deductive Reasoning

Inductive and Deductive Reasoning is a [[Baby CTY] course which students are introduced to Inductive and deductive reasoning and some basic Logic. This course is offered at:

First Session Only: Brooklandville, La Jolla, Los Angeles (Windward), and San Mateo

Second Session Only: Alexandria

Both Sessions: Bristol, Chestertown, Easton, Los Angeles, Palo Alto, New York and Sandy Spring

Course Description

From the CTY Summer Catalog:

Reasoning, logic, and critical-thinking skills are the building blocks of intellectual inquiry. This course focuses on developing these skills through problem solving and exposure to a wide range of topics in mathematics. Students learn to distinguish between inductive and deductive reasoning and examine the roles played by each in mathematics.

What is the next term of the sequence 1, 5, 12, 22, 35? How do these numbers relate to triangular and square numbers? The students’ introduction to inductive reasoning begins with a search for patterns in data and creating recursive and explicit formulas to describe those patterns. Students master material by considering puzzles, algebraic and geometric concepts, patterns, and real-world questions that can be answered using inductive reasoning.

As they move on to topics in deductive reasoning, students learn to use a system of logic to draw conclusions from statements that are accepted as true. Students encounter a variety of classic problem types as they explore topics such as symbolic logic, truth tables, syllogisms, knights and knaves problems, and Euler circuits. Emphasis is placed on the importance of proving conclusions using valid arguments.

Students must have completed grades: 5 or 6