From RealCTY
Jump to navigation Jump to search
Part of a series on
Realcty logo 20060831.png
CTY Courses
Category · Template · Baby CTY
Allentown · Bristol · Haverford · Hong Kong · Santa Cruz · Seattle
Foundations of Psychology
Bioethics · Great Cases: American Legal History
Introduction to Logic · Philosophy
The Roots of English · Comparative Law
Whodunit? Mystery and Suspense in Literature and Film
Crafting the Essay
The Graphic Novel
Geometry through Art
Paradoxes and Infinities · Mathematical Modeling
Computer Science
Foundations of Programming
The Mathematics of Money · Game Theory and Economics
Zoology · Principles of Engineering Design
Biotechnology · Chemistry in Society
Introduction to Astronomy
Anatomy and Physiology
The Physics of Sports
Whales and Estuary Systems · The Chesapeake Bay
Defunct Courses
Colonial Life · Beyond America
Civil War and Reconstruction · US Environmental History
Victorian Women · America in the Cold War
The Making of California · The Civil Rights Movement
Politics of Place · Eastern Philosophy
Drama · Writing and Reading Seminar
Public Speaking and Communication · Poetry
Writing the History Paper · Writing American Autobiography
The Short Story · Drama 2: From Stage to Screen
Shakespeare in Performance · Math and Music
Math Workshop · Mathematical Investigations
Math and Art · Algebra and its Applications
Geometry and its Applications · Probability and Statistics
Chaos and Fractals · Introduction to Geology
Exercise Physiology · Environmental Engineering
Nuclear Science · The Critical Essay: Cinema
Medical Sciences: Pharmacology & Toxicology · The Modern City
Writing About Place: The Monterey Bay

Reasoning (RSNG) was a CAA course focused on multiple math subjects from game theory to geometry as it delves into critical thinking and problem solving. This course was offered at Bethlehem, Bristol, Chestertown, Frederick and Santa Cruz.

Course Description

From the CTY Course Catalog (1999):

The ability to convince others of the correctness of an equation, the validity of an experiment, or the persuasiveness of an argument in a legal brief all rely on the tools of reasoning and logic. This course introduces students to the building blocks of serious inquiry—mathematical reasoning, symbolic logic, and formal proof.

Students begin by considering what can be proven and how to prove it, and then learn about deductive reasoning, which uses logic to draw conclusions from basic premises. Students extend their knowledge by considering examples from a wide range of related fields, including game theory, geometry, and the sciences. As they explore the tools of reasoning, students learn how to organize their knowledge and present solutions to problems in a simple, coherent, and logical manner. They learn to analyze the structure of proofs, manipulate variables, and solve problems directly, indirectly, and by induction. By the end of the course, students strengthen critical thinking and problem solving skills, develop a clear understanding of formal proofs, and hone their abilities to construct and defend logical arguments.