Difference between revisions of "Inductive and Deductive Reasoning"

From RealCTY
Jump to navigation Jump to search
(Created page with "{{Baby CTY Courses}} Inductive and Deductive Reasoning is a [[Baby CTY] course which students are introduced to Inductive and deductive reasoning and some basic Logic. Thi...")
 
m
 
(19 intermediate revisions by 3 users not shown)
Line 1: Line 1:
 +
{{Infobox
 +
| title  = Inductive and Deductive Reasoning
 +
| header1 = Mathematics Course
 +
| label2 = Course Code | data2 = [[Inductive and Deductive Reasoning|INDE]]
 +
| label3 = Year Opened | data3 = 1995*
 +
| label4 = Sites Offered | data4 = [[BRI]], [[LOS]], [[NYC]], [[SCZ]]
 +
| label5 = Previously Offered | data5 = [[ALE]], [[CHS]], [[CGV]], [[EST]], [[GIL]], [[HKY]], [[LAJ]], [[MSA]], [[NUE]], [[SAN]], [[SFD]], [[SPE]], [[SRF]], [[WLA]][[PAL]], [[WIN]]
 +
}}
 
{{Baby CTY Courses}}
 
{{Baby CTY Courses}}
[[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==
 
==Course Description==
 +
[https://web.archive.org/web/20020616170323/http://www.jhu.edu:80/gifted/ctysummer/catalogs/ys/math/inde.htm From the CTY Course Catalog] (2001):
  
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, puzzles, 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.  
 
+
   
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.
+
Students’ introduction to inductive reasoning begins with a search for patterns in data, progressing from specific cases to general rules. Students master material by considering puzzles, logic problems, algebraic concepts, patterns and permutations, and real-world questions that can be answered using these techniques.  
 
+
   
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. Emphasis is placed on the importance of proving conclusions using sound arguments. Students learn how to write direct and indirect proofs, becoming familiar with terminology used in logic. Exposure to the techniques and structures of proofs is an excellent preparation for many of the topics covered in geometry.
 
 
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
+
[[Category: Courses]]
 +
[[Category: Bristol]]
 +
[[Category: Los Angeles (LMU)]]
 +
[[Category: New York]]
 +
[[Category: Santa Cruz]]

Latest revision as of 10:05, 22 March 2023

Inductive and Deductive Reasoning
Mathematics Course
Course CodeINDE
Year Opened1995*
Sites OfferedBRI, LOS, NYC, SCZ
Previously OfferedALE, CHS, CGV, EST, GIL, HKY, LAJ, MSA, NUE, SAN, SFD, SPE, SRF, WLAPAL, WIN
Part of a series on
Realcty logo 20060831.png
CTY Courses
Category · Template · CAA Courses
Sites
Bristol · Collegeville · Los Angeles · San Rafael · Santa Cruz
Alexandria · Baltimore · La Jolla · New York · Portola Valley · Sandy Spring · Venice · Baltimore (MSC)
Humanities
Model United Nations and Advanced Geography
The Ancient World
Journeys and Explorations
Big Questions
Writing
Being a Reader, Becoming a Writer
Heroes and Villains
Writing Workshop: Modern Fantasy
Behind the Mask: Superheroes Revealed
Math
Math Problem Solving · Inductive and Deductive Reasoning
Geometry and Spatial Sense
Great Discoveries in Mathematics
Numbers: Zero to Infinity
Data and Chance · Introduction to Robotics
Science
Marine Ecology · The Physics of Engineering
Inventions · Examining the Evidence
Through the Microscope · The Sensory Brain
The Edible World · Crystals and Polymers
Be a Scientist! · Cloudy with a Chance of Science
One Week Courses
Toyology · Science Spoilers · Space: To Infinity and Beyond
Defunct Courses
World Folklore and Mythology
Colonial America · Civil War Studies
The Middle Ages · The Renaissance
Worlds in Motion
Railroads: Connecting 19th-Century America · Pirates: History and Culture
The Olympics
Chinese · French · Spanish
The Art of Writing: Process and Product · Elements of Drama
Writing Workshop: Where Art Meets Science
Stories and Poems
Writing Workshop: Images and Text
Animal Behavior · Flight Science
Forest Ecology · Rocks, Minerals, and Fossils
Meteorology · Bugs and Butterflies
Dynamic Earth · Bay Ecology II

Course Description

From the CTY Course Catalog (2001):

Reasoning, logic, and critical thinking skills are the building blocks of intellectual inquiry. This course focuses on developing these skills through problem solving, puzzles, 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.

Students’ introduction to inductive reasoning begins with a search for patterns in data, progressing from specific cases to general rules. Students master material by considering puzzles, logic problems, algebraic concepts, patterns and permutations, and real-world questions that can be answered using these techniques.

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. Emphasis is placed on the importance of proving conclusions using sound arguments. Students learn how to write direct and indirect proofs, becoming familiar with terminology used in logic. Exposure to the techniques and structures of proofs is an excellent preparation for many of the topics covered in geometry.