About the Course

Inductive and Deductive Reasoning

  • Grades 5-6
  • CTY-Level
  • Residential and Commuter
  • Mathematics

Reasoning, logic, and critical thinking are the building blocks of intellectual inquiry. This course will help develop your skills in these areas through problem-solving and exposure to a wide range of topics in mathematics. You’ll learn the different techniques used in inductive and deductive reasoning and examine the roles each play in the field of mathematics. First you’ll explore algebraic and geometric concepts, patterns, and real-world questions that can be answered using inductive reasoning, creating recursive and explicit formulas to describe patterns. As you move on to deductive reasoning, you’ll learn to use a system of logic to draw conclusions from statements that are accepted as true. Explore fun approaches to this style of reasoning, such as symbolic logic, truth tables, and syllogisms, while learning how to construct valid arguments to reach conclusions.

Typical Class Size: 14-16
 

Course Overview

Summer Dates & Locations

Registration deadline:

After May 31, 2024, registration is available upon request pending eligibility and seat availability. To request placement, email [email protected] after submitting a program application.

Session One

Roger Williams University
Bristol, Rhode Island
-
Residential cost: $6,599
Commuter cost: $5,799
Session in Progress
Loyola Marymount University
Los Angeles, California
-
Residential cost: $6,819
Commuter cost: $5,999
Session in Progress
University of California Santa Cruz
Santa Cruz, California
-
Residential cost: $6,819
Commuter cost: $5,999
Speyer School
New York, New York
-
Commuter cost: $3,599

Session Two

Roger Williams University
Bristol, Rhode Island
-
Residential cost: $6,599
Commuter cost: $5,799
Loyola Marymount University
Los Angeles, California
-
Residential cost: $6,819
Commuter cost: $5,999
University of California Santa Cruz
Santa Cruz, California
-
Residential cost: $6,819
Commuter cost: $5,999
Speyer School
New York, New York
-
Commuter cost: $3,599

Testing and Prerequisites

  Math Verbal
Required Level CTY-Level Not required
Check your eligibility using existing test scores If you do not have existing test scores:

Students must achieve qualifying scores on an advanced assessment to be eligible for CTY programs. If you don’t have qualifying scores, you have several different testing options. We’ll help you find the right option for your situation.

Sign up for Testing Learn More

Cost and Financial Aid

  • Tuition
    • Varies
  • Application fee
    • Nonrefundable Application Fee - $50 (Waived for financial aid applicants)
    • Nonrefundable International Fee - $250 (outside US only)

Financial Aid

We have concluded our financial aid application review process for 2024 On-Campus Programs. We encourage those who may need assistance in the future to apply for aid as early as possible.

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About Mathematics at CTY

Explore the study of shapes

Many of our courses allow students to describe the world around them in basic and profound ways. Our younger students learn about shape, scale, and proportion in Geometry and Spatial Sense. Middle School students explore beautiful real-world applications of lines; analyze data based on curves that fit a uniform, symmetric and bell-shaped, or skewed pattern in Data and Chance. And advanced students explore the underlying mathematics and fundamental characteristics of shapes, distance, and continuous deformations in our proof-based Topology course.

Dive deep into logic and reasoning

Our courses in formal logic give you the tools to question the world around you. Inductive and Deductive Reasoning introduces younger students to different types of reasoning, as well as the strengths and weaknesses inherent in various forms of critical analysis. Older students explore how logical reasoning can explain (or fail to explain) counter-intuitive results in Paradoxes and Infinities, or take a more rigorous approach to formal logic in Mathematical Logic.

Meet our instructors and staff