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Data Modeling Using Finite Differences
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Rhoads, Kathryn; Mendoza Epperson, James A. – Mathematics Teacher, 2017
The Common Core State Standards for Mathematics (CCSSM) states that high school students should be able to recognize patterns of growth in linear, quadratic, and exponential functions and construct such functions from tables of data (CCSSI 2010). In their work with practicing secondary teachers, the authors found that teachers may make some tacit…
Descriptors: Mathematical Models, Intervals, Mathematics Instruction, Algebra
Using Disks as Models for Proofs of Series
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Somchaipeng, Tongta; Kruatong, Tussatrin; Panijpan, Bhinyo – Mathematics Teacher, 2012
Exploring and deriving proofs of closed-form expressions for series can be fun for students. However, for some students, a physical representation of such problems is more meaningful. Various approaches have been designed to help students visualize squares of sums and sums of squares; these approaches may be arithmetic-algebraic or combinatorial…
Descriptors: Mathematical Logic, Validity, Arithmetic, Mathematics
Delving Deeper: How Does One Know if a Number Is Divisible by 17?
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Goldenberg, E. Paul – Mathematics Teacher, 2006
This article discusses divisibility tests for any prime number.
Descriptors: Numbers, Mathematics, Mathematics Instruction, Arithmetic
Just Say "Charge It!"
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Yarema, Connie H.; Sampson, John H. – Mathematics Teacher, 2001
Describes a credit-card-debt activity that allows students to increase their awareness of underlying mathematical concepts relevant to the world of commerce and personal finance through learning geometric and arithmetic sequences. (KHR)
Descriptors: Arithmetic, Concept Formation, Curriculum Development, Economics