Courses

Logic and Proofs: Fundamentals

Grades 7–8
All Dates and Tuition
Modality
Online
Identification Level
Quantitative - CTY-Level
Tuition
$464

About the Course

Through engaging symbolic logic puzzles, Sudoku challenges, thought-provoking problems, and real-world applications, this course introduces advanced mathematical concepts that challenge the mind. Students will uncover patterns, construct logical arguments, and develop problem-solving strategies that prepare them for high school and college-level logic coursework. We'll examine the basic concepts of logic, quantifying statements, logical connectives, and quantifiers to transform everyday statements into logical forms that we can attempt to prove or disprove. Logic puzzles, adaptive world arguments, peer collaboration, and feedback, will strengthen our understanding of mathematics and sharpen our problem-solving skills as we delve into these key mathematical ideas.

Learning Objectives

  • Define, discuss, identify, and apply basic concepts of logic
  • Identify errors or misconceptions in an argument
  • Use mathematical symbols to translate everyday statements into logical forms that can be proved or disproved

About Mini courses

Taught over 1-3 sessions, these short survey courses are designed to give students the opportunity to sample a topic, engage with a community of advanced learners, and take a course that suits their busy schedule.

Requirements

CTY courses have grade-level requirements and most require minimum test scores. Some courses may also have prerequisites.

Identification Details
Grade 7–8
Identification Level
Quantitative - CTY-Level
Coursework Prerequisites None

Dates and Tuition

All CTY courses require you to create an account and confirm Identification Level before enrolling can be completed.

Online

Fall A 2026
Sep 8, 2026 - Sep 22, 2026
$464

You will be asked to join or sign in first.

Days:

Days: Every Tue for 3 weeks

Times:

Times: 7 - 8:30 p.m. (Eastern time)

Register by:

Register by: August 11, 2026

Time Commitment:

Time Commitment:

Important Information

Please acquire all course materials by the course start date, unless noted as perishable. Items marked as “perishable” should not be acquired until the student needs them in the course. If you have questions about these materials or difficulty locating them, please contact [email protected].

Families will be notified by email of any required materials one week prior to the course start date.

Time Commitment: 2.5-3.5 hours per week (1.5 hours of class time, 1-2 hours of independent work) Course will include 3 sessions over 3 weeks.

Technical Requirements
This course requires a computer with high-speed Internet access and an up-to-date web browser such as Chrome or Firefox. You must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details: https://help.cty.jhu.edu/support/solutions/articles/43000543074
Fall B 2026
Oct 14, 2026 - Oct 28, 2026
$464

You will be asked to join or sign in first.

Days:

Days: Every Wed for 3 weeks

Times:

Times: 7 - 8:30 p.m. (Eastern time)

Register by:

Register by: September 15, 2026

Time Commitment:

Time Commitment:

Important Information

Please acquire all course materials by the course start date, unless noted as perishable. Items marked as “perishable” should not be acquired until the student needs them in the course. If you have questions about these materials or difficulty locating them, please contact [email protected].

Families will be notified by email of any required materials one week prior to the course start date.

Time Commitment: 2.5-3.5 hours per week (1.5 hours of class time, 1-2 hours of independent work) Course will include 3 sessions over 3 weeks.

Technical Requirements
This course requires a computer with high-speed Internet access and an up-to-date web browser such as Chrome or Firefox. You must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details: https://help.cty.jhu.edu/support/solutions/articles/43000543074

Registration Fee and Financial Aid

Tuition and fees will be waived or reduced for students who qualify for financial aid.

Learn more about Financial Aid
Join Fee $55

If you are not a member of CTY yet, you are required to join before enrolling in a course.

Join CTY
In-Person registration fee $75

Non-refundable fee for in-person courses.

Online Registration Fee $15-$20

Non-refundable fee for online courses.

Mathematics

Sharpen your skills and build confidence while solving puzzles, exploring patterns, preparing for competitions, and tackling real-world problems in a rigorous and fun classroom.  

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