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
Summer Dates & Locations
Session One
Session Two
Testing and Prerequisites
| Math | Verbal | |
|---|---|---|
| Required Level | CTY-Level | Not required |
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 MoreCost 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.
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
This was my fifth summer working at CTY. I love the culture of CTY. For three weeks, students and staff from all over the world create their own special community unlike anywhere else. I love getting to be a part of that.
Amanda Mastronardi
Dean of Residential Life and CTY Alum
I love that students are not here for the grade; they're here to learn. At the end of the course, I get to write about each students' progress and capture the essence of each student's performance, which I love.
Jethro Antoine
Biology Instructor
When I was a student at CTY, I was excited to be in a place where all of the instructors and program assistants loved learning as much as I did. It wasn't until I came back as a PA that I realized CTY instructors feel just as excited to work with such dedicated and curious students.
Nick Smith
Program Assistant and CTY Alum