Difference between revisions of "Math Problem Solving"

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{{Infobox
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| title  = Math Problem Solving
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| header1 = Mathematics Course
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| label2 = Course Code | data2 = [[Math Problem Solving|MPSE]]
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| label3 = Year Opened | data3 = 1986*
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| label4 = Sites Offered | data4 = [[ALE]]
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| label5 = Previously Offered | data5 = [[ALX]], [[BDA]], [[LAJ]], [[MTA]], [[SAN]], [[STP]], [[WLA]]
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}}
 
{{Baby CTY Courses}}
 
{{Baby CTY Courses}}
[[Math Problem Solving]] is a [[Baby CTY]] course that introduces students to problem solving. Its course code is [[Math Problem Solving|MPSE]]. This course is offered at:
 
 
Second Session Only: [[Alexandria]]
 
 
Both Sessions: [[Sandy Spring]]
 
 
 
==Course Description==
 
==Course Description==
  
From the CTY Summer Catalog:
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[https://web.archive.org/web/19970111231524/http://www.jhu.edu:80/~gifted/acadprog/ys/n-mathsc.htm From the CTY Course Catalog] (1997):
  
Can five 20' by 18' carpets lying flat with no overlap fit in a 40' by 50' room? How can you precisely measure two liters of water using only a four-liter pitcher and a three-liter pitcher? How many different ways can you add up four even, positive numbers to get a sum of 16?
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One of the principal reasons for studying mathematics is to learn how to solve problems. Effective problem solving requires originality, creativity, judgement, and independent thought. Students in this course are taught to analyze a problem and to draw from a variety of well-known problem-solving strategies in their search for a solution. Students learn to ask precise and thought-provoking questions, to match appropriate strategies to particular problems, and to explain their thought processes more precisely. Group interaction is an integral part of the learning process; students share their strategies for solving problems with each other.
  
Problem solving in mathematics is far more complex than translating a word problem into numbers and symbols and applying an established method. It involves finding a path to a solution when there is no clear place to begin. In this course, students learn general strategies for solving problems that involve a wide range of mathematical concepts. Challenging problems lead students to use varied approaches such as drawing diagrams, making lists, eliminating unreasonable possibilities, identifying patterns, guessing and checking, and manipulating variables.
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Depending upon their mathematical experience and their facility with new content, students are given problems from arithmetic, pre-algebra, or algebra. The strategies they learn provide a common language for discussing problems with other students, even if those students are working on problems from other areas of mathematics. Instructors model problem-solving strategies and engage students in a wide range of related activities, games, and explorations.
  
Working individually or in small groups, students learn to ask precise and thought-provoking questions, to match appropriate strategies to particular problems, and to effectively communicate their thought processes along the way. Demonstrations, activities, games, and explorations are incorporated to nurture students as critical thinkers and creative problem solvers, strengthening their mathematical-reasoning abilities and preparing them for future study in discrete math, probability, and other growing fields of mathematics.
 
  
Students must have completed grades: 2 or 3
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[[Category: Courses]]
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[[Category: Alexandria (ALE)]]
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[[Category: Alexandria (ALX)]]
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[[Category: Bethesda]]
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[[Category: Brooklandville]]
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[[Category: La Jolla]]
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[[Category: Owings Mills]]
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[[Category: Pasadena (MTA)]]
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[[Category: Sandy Spring]]
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[[Category: West Los Angeles (Mirman)]]

Latest revision as of 15:06, 26 July 2018

Math Problem Solving
Mathematics Course
Course CodeMPSE
Year Opened1986*
Sites OfferedALE
Previously OfferedALX, BDA, LAJ, MTA, SAN, STP, WLA
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Course Description

From the CTY Course Catalog (1997):

One of the principal reasons for studying mathematics is to learn how to solve problems. Effective problem solving requires originality, creativity, judgement, and independent thought. Students in this course are taught to analyze a problem and to draw from a variety of well-known problem-solving strategies in their search for a solution. Students learn to ask precise and thought-provoking questions, to match appropriate strategies to particular problems, and to explain their thought processes more precisely. Group interaction is an integral part of the learning process; students share their strategies for solving problems with each other.

Depending upon their mathematical experience and their facility with new content, students are given problems from arithmetic, pre-algebra, or algebra. The strategies they learn provide a common language for discussing problems with other students, even if those students are working on problems from other areas of mathematics. Instructors model problem-solving strategies and engage students in a wide range of related activities, games, and explorations.