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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Kelly Hagan and Cheng-Yao Lin
April 2020's GPS department provides tasks for each grade band that invite students to reason with age-appropriate number theoretic concepts.
Cheng-Yao Lin and Aviva Hamavid
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.
Kelly Hagan and Cheng-Yao Lin
With the youngest students, it may be prudent to discuss chances as never, not likely, likely, and certain. For older students, you can represent probabilities as percentages or fractions, or even ranges of percentages, such as 0 percent, less than 50 percent, exactly 50
Kelly Hagan and Cheng-Yao Lin
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.
Cheng-Yao Lin and Aviva Hamavid
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.
Kelly Hagan and Cheng-Yao Lin
This is the final GPS document for February 2020
Cheng-Yao Lin, Joshua K. Lemons, Morgan E. Moser, and Melissa A. Smith
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.
Rebecca Robichaux-Davis, Cheng-Yao Lin, Jennifer M. Bay-Williams, and Aviva Hamavid
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.