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Panorkou, Nicole; Maloney, Alan P. – Teaching Children Mathematics, 2016
In a classroom teaching experiment, we explored fifth graders' ability to identify relationships in and between two patterns--what we may refer to as functional relationships. Conventional functions curricula are dominated by defining relationships between two patterns via a rule, describing how to find y or f(x) given a particular value for x…
Descriptors: Mathematics Instruction, Teaching Methods, Grade 5, Elementary School Mathematics
Store, Jessie C.; Richardson, Kerri D.; Carter, Tyrette S. – Teaching Children Mathematics, 2016
Based on a study with six elementary school teachers and 115 students in grades 3, 4, and 5, this article discusses ways that teachers might support an understanding of variable as students explore pattern-finding activities. The practices emerged from interviews with teachers and a yearlong observation of teaching algebraic thinking during an…
Descriptors: Elementary School Mathematics, Elementary School Teachers, Mathematics Instruction, Interviews
Swanson, Patricia E. – Teaching Children Mathematics, 2015
Elementary school mathematics is increasingly recognized for its crucial role in developing the foundational skills and understandings for algebra. In this article, the author uses a lesson to introduce the concept of "rates"--comparing two different types and units of measure--and how to graph them. Described is the lesson and shared…
Descriptors: Elementary School Mathematics, Mathematics Skills, Algebra, Skill Development
Isler, Isil; Marum, Tim; Stephens, Ana; Blanton, Maria; Knuth, Eric; Gardiner, Angela Murphy – Teaching Children Mathematics, 2014
The study of functions has traditionally received the most attention at the secondary level, both in curricula and in standards documents--for example, the Common Core State Standards for Mathematics (CCSSI 2010) and "Principles and Standards for School Mathematics" (National Council of Teachers of Mathematics [NCTM] 2000). However, the…
Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, Elementary School Mathematics
Markworth, Kimberly A. – Teaching Children Mathematics, 2012
Over the past two decades, mathematical patterns have been acknowledged as important early components of children's development of algebraic reasoning (NCTM 2000). In particular, growing patterns have attracted significant attention as a context that helps students develop an understanding of functional relationships (Lee and Freiman 2006; Moss et…
Descriptors: Algebra, Geometric Concepts, Grade 6, Mathematics Instruction