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## Teaching Multiplication Algorithms from Other Cultures

Different multiplication algorithms are known from different cultures. For example, the Hindus used a vertical and crosswise method; the Egyptians and Russian peasants used doubling; the Japanese used an abacus; and the Chinese used counting rods. These methods and techniques have been used to help people around the world in their daily lives, for example, in building houses, counting agricultural products, or conducting commercial transactions in the marketplace.

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## GPS: Spring Frogs

April 2020's GPS department provides tasks for each grade band that invite students to reason with age-appropriate number theoretic concepts.

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## GPS: Hopping into Fractions

This is the final GPS document for February 2020

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## GPS: Gopher Tunnel Probability

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## GPS: Popsicle Place Value and Polynomials

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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## GPS: Astronomy

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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## GPS: Place-Value Penguins

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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## Mathematical Roots: The Mystery of the Disappearing Calculators

Cryptology is a branch of science dealing with secret communications (Krystek 2000). The word cryptology is derived from the Greek word kryptos, meaning “hidden,” and logos, meaning “word.” Communicating through hidden messages has been in existence almost as long as written language.

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## GPS: Diving into Dolphin Data

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.