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Saving Money Using Proportional Reasoning
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de la Cruz, Jessica A.; Garney, Sandra – Mathematics Teaching in the Middle School, 2016
It is beneficial for students to discover intuitive strategies, as opposed to the teacher presenting strategies to them. Certain proportional reasoning tasks are more likely to elicit intuitive strategies than other tasks. The strategies that students are apt to use when approaching a task, as well as the likelihood of a student's success or…
Descriptors: Mathematics Instruction, Mathematical Logic, Teaching Methods, Learning Strategies
The Whole Story: Understanding Fraction Computation
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Dixon, Juli K.; Tobias, Jennifer M. – Mathematics Teaching in the Middle School, 2013
What does it look like to "understand" operations with fractions? The Common Core State Standards for Mathematics (CCSSM) uses the term "understand" when describing expectations for students' knowledge related to each of the fraction operations within grades 4 through 6 (CCSSI 2010). Furthermore, CCSSM elaborates that…
Descriptors: Computation, Arithmetic, Preservice Teacher Education, Preservice Teachers
Multiplication from "Lilavati" to the "Summa."
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Berg, Rebecca – Mathematics Teaching in the Middle School, 2001
Explores the five multiplication techniques found in the 12th century Lilavati by Bhaskara, which appear again in the 1494 Summa by Pacioli. Includes a student worksheet. (KHR)
Descriptors: Arithmetic, Learning Strategies, Mathematics History, Mathematics Instruction