problem solving strategies crossing the river with dogs and other mathematical adventures

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Problem solving strategies : crossing the river with dogs : and other mathematical adventures

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Online Programs

Problem solving strategies.

• Mathematics

Develop strategies for solving a wide variety of word problems using resources from Ken Johnson and Ted Herr’s Problem Solving Strategies: Crossing the River with Dogs and Other Mathematical Adventures . Explore diagrams, systematic lists, elimination, working backwards, matrix logic, and unit analysis as you strengthen your ability to use these strategies to solve a wide variety of complex problems. Problems in this course are designed so that there are multiple strategies and combinations that will lead to a correct answer, which allows you and your peers to share your ideas and compare/contrast the different ways of problem-solving.

Fall and Spring Time Commitment: 4-5 hours per week (1-hour of class time, 3-4 hours of independent work). Summer Time Commitment: 12-15 hours per week (3-hours of class time, 9-12 hours of independent work).

Course Overview

What we'll do

We’ll learn how to identify and solve word problems using various strategies. The course consists of nine units; each unit includes a synchronous group meeting held on Zoom, and asynchronous activities including assigned readings, discussion forums, problems sets, and assignments.

What we’ll learn

• How to identify and use problem-solving strategies such as draw a diagram, eliminate possibilities, create subproblems, solve easier related problems, etc., that are applicable to a wide range of problems you will encounter in school and in life
• How to collaborate with peers to solve problems

By the end of this course, you will be able to:

• Identify a strategy or strategies that would be useful to solve an unfamiliar problem
• Execute the use of the eight strategies covered in the course
• Write your own problems that can be solved using a strategy or strategies from the course

How we'll measure learning

Write Your Own Problems: Students write their own problems and solutions, each of which can be solved using a different strategy covered in the course. Students demonstrate their learning by adapting an existing problem or creating their own from scratch, writing out a solution that shows how the problem can be solved using the given strategy.

Final Problem Set: Students solve the final problem set, which is a compilation of WYOP submissions. Students can demonstrate their learning through written work in their submission and verbally through the class discussion of each problem.

This course is

Register for an Online course by selecting an open class below. If no open classes are listed, then course enrollment is currently closed. Note: You will need to have an active CTY Account to complete registration through MyCTY.

Testing and Prerequisites

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.

Cost and Financial Aid

Application fee.

• Nonrefundable Application Fee - $15 (Waived for financial aid applicants)
• Nonrefundable International Fee - $20 (outside US only)

Financial Aid

CTY Financial Aid Availability for Online Programs:

We have concluded our financial aid application review process for the Academic Year 2024-2025 Online Programs (Courses with start dates July 1, 2024-June 30, 2025). Our application for Academic Year 2025-2026 Online Programs is expected to open in early 2025 We encourage those who may need assistance in the future to apply for aid as early as possible.

Course Materials

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] .  

Book Title: Crossing the River with Dogs: Problem Solving for College Students, 3rd Edition Author: Ken Johnson, Ted Herr, Judy Kysh ISBN: 978-1119441298

• Graph Paper

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.

This course uses a virtual classroom for instructor-student communication. The classroom works on standard computers with the Zoom desktop client , and on tablets or handhelds that support the Zoom Mobile app . Recorded meetings can only be viewed on a computer with the Zoom desktop client installed. The Zoom desktop client and Zoom Mobile App are both free to download.

About Mathematics at CTY

Our online Mathematics courses—spanning elementary through college-level curricula—cover a wide range of topics, from algebra and geometry to chess, cryptology, and AP Calculus and are guided by expert instructors. You’ll join group sessions with classmates to ensure you stay on track with challenging course content. Whether you’re looking for pure math fun and enrichment, to move up the math ladder and advance your honors and AP (and beyond) academic standing, or to train for mathematics competitions, there’s a CTY course that’s right for you.

New math enrichment courses available!

Explore our new math enrichment courses, including Excursions in Pre-algebra and Introduction to Logic and Proofs .

Join the exciting world of competitive math

Participate in the High School Math Club or enroll in 6 IP courses:  Middle School Competitive Math I , Middle School Competitive Math II , Middle School Competitive Math III , Competitive Mathematics Prep , Competitive Mathematics I , Competitive Mathematics II .

Meet our Mathematics Instructors

I love helping students understand difficult topics and make connections between them. Understanding Calculus is what makes advanced engineering applications possible, so it is extremely relevant to today's world and to the inventions of tomorrow.

Donna Miller

Mathematics Instructor

I love that through CTY, I get the chance to work with gifted students from all over the world. I consider it an honor to be part of their journey!

Amanda Broton

I am so excited when students are able to persevere and decode a very challenging cipher in the course! I love that Cryptology teaches patience and dedication, and that mathematics is so much more than just the study of numbers and equations.

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Problem Solving Strategies: Crossing the River With Dogs and Other Mathematical Adventures Hardcover – Jan. 1 1775

• ISBN-10 1559533706
• ISBN-13 978-1559533706
• Publisher Key Curriculum Press
• Publication date Jan. 1 1775
• Language English
• Dimensions 20.32 x 3.18 x 24.77 cm
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• Publisher ‏ : ‎ Key Curriculum Press (Jan. 1 1775)
• Language ‏ : ‎ English
• ISBN-10 ‏ : ‎ 1559533706
• ISBN-13 ‏ : ‎ 978-1559533706
• Item weight ‏ : ‎ 1.18 kg
• Dimensions ‏ : ‎ 20.32 x 3.18 x 24.77 cm
• #1,730 in Mathematical Logic
• #6,578 in Business Decision-Making & Problem Solving (Books)
• #513,253 in Textbooks

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ISBN: 1559533706

ISBN13: 9781559533706

Problem Solving Strategies: Crossing the River with Dogs and Other Mathematical Adventures

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Problem Solving Strategies Crossing the River with Dogs and Other Mathematical Adventures Why Teach a Course in Problem Solving? The NCTM Principles andStandards state that problem solving should be... This description may be from another edition of this product.

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1559533714 - Problem Solving Strategies: Crossing the River with Dogs and Other Mathematical Adventures Instructor's Resource Book & Answer Key by Herr, Ted; Johnson, Ken ( 40 results)

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Problem Solving Strategies : Crossing the River With Dogs and Other Mathematical Adventures

Herr, Ted; Johnson, Ken

Published by Key Curriculum Press, 2001

ISBN 10: 1559533714 / ISBN 13: 9781559533713

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Problem Solving Strategies: Crossing the River with Dogs and other Mathematical Adventures (Instructor's Resource Book & Answer Key)

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Problem Solving Strategies Instructor's Resources Book (Paperback or Softback)

Johnson, Ken

Published by Key Curriculum Press 1/1/2001, 2001

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Problem Solving Strategies: Crossing the River with Dogs and other Mathematical Adventures (Instructors Resource Book Answer Key)

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Problem Solving Strategies: Crossing the River with Dogs and other Mathematical Adventures (Instructor's Resource Book Answer Key)

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Published by Key Curriculum Press, 2023

Seller: Ergodebooks , Houston, TX, U.S.A.

Softcover. Condition: Good. 2nd. Problem Solving Strategies Crossing the River with Dogs and Other Mathematical Adventures Why Teach a Course in Problem Solving? The NCTM Principles andStandards state that problem solving should be integrated throughout all courses and grade levels. For example, guess-and-check is a natural strategy to apply in algebra. Advanced math students often use finite differences to study functions and sequences. And drawing a diagram and using physical representations are commonly employed strategies in many contexts. However, many students never encounter valuable strategies such as matrix logic or unit analysis. And in content-crowded math classes, few students get the concentrated practice or time necessary to fully develop their problem-solving skills. By taking a semester course in problem solving, students can master a multitude of strategies while developing confidence in their problem-solving abilities. Your students will be better prepared to meet the challenges of school and life by taking this course.

Softcover. Condition: New. 2nd. Problem Solving Strategies Crossing the River with Dogs and Other Mathematical Adventures Why Teach a Course in Problem Solving? The NCTM Principles andStandards state that problem solving should be integrated throughout all courses and grade levels. For example, guess-and-check is a natural strategy to apply in algebra. Advanced math students often use finite differences to study functions and sequences. And drawing a diagram and using physical representations are commonly employed strategies in many contexts. However, many students never encounter valuable strategies such as matrix logic or unit analysis. And in content-crowded math classes, few students get the concentrated practice or time necessary to fully develop their problem-solving skills. By taking a semester course in problem solving, students can master a multitude of strategies while developing confidence in their problem-solving abilities. Your students will be better prepared to meet the challenges of school and life by taking this course.

Problem Solving Strategies Instructor's Resources Book

Published by KEY CURRICULUM PR, 2001

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Problem Solving Strategies

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Problem Solving Strategies: Crossing the River with Dogs and other Mathematical Adventures (Instructor\'s Resource Book & Answer Key)

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Softcover. Condition: Good. Problem Solving Strategies Crossing the River with Dogs and Other Mathematical Adventures Why Teach a Course in Problem Solving? The NCTM Principles andStandards state that problem solving should be integrated throughout all courses and grade levels. For example, guess-and-check is a natural strategy to apply in algebra. Advanced math students often use finite differences to study functions and sequences. And drawing a diagram and using physical representations are commonly employed strategies in many contexts. However, many students never encounter valuable strategies such as matrix logic or unit analysis. And in content-crowded math classes, few students get the concentrated practice or time necessary to fully develop their problem-solving skills. By taking a semester course in problem solving, students can master a multitude of strategies while developing confidence in their problem-solving abilities. Your students will be better prepared to meet the challenges of school and life by taking this course.

Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days.

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Problem Solving Strategies: Crossing the River With Dogs and Other Mathematical Adventures

Published by Key Curriculum Pr, 2001

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