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Bleiler, Sarah K.; Baxter, Wesley A.; Stephens, D. Christopher; Barlow, Angela T. – Teaching Children Mathematics, 2015
Teachers who participated in a recent summer institute focused on implementing the Common Core State Standards for Mathematics (CCSSM). Throughout the summer institute, teachers had many in-depth discussions about the meanings they attributed to the Standards for Mathematical Practice (SMPs). In this article, the authors share some of the…
Descriptors: Mathematics Instruction, Academic Standards, Summer Programs, State Standards
Pratt, Sarah S.; Lupton, Tina M.; Richardson, Kerri – Teaching Children Mathematics, 2015
As teachers seek activities to assist students in understanding division as more than just the algorithm, they find many examples of division as fair sharing. However, teachers have few activities to engage students in a quotative (measurement) model of division. Efraim Fischbein and his colleagues (1985) defined two types of whole-number…
Descriptors: Mathematics Instruction, Mathematical Concepts, Color, Teaching Methods
Cavey, Laurie O.; Kinzel, Margaret T. – Teaching Children Mathematics, 2014
Teachers report that engaging students in solving contextual problems is an important part of supporting student understanding of algorithms for fraction division. Meaning for whole-number operations is a crucial part of making sense of contextual problems involving rational numbers. The authors present a developed instructional sequence to…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Secondary School Mathematics, Preservice Teacher Education
Yanik, H. Bahadir; Karabas, Celil – Teaching Children Mathematics, 2014
Modeling requires that people develop representations or procedures to address particular problem situations (Lesh et al. 2000). Mathematical modeling is used to describe essential characteristics of a phenomenon or a situation that one intends to study in the real world through building mathematical objects. This article describes how fifth-grade…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Mathematical Models, Grade 5
Diezmann, Carmel M.; McCosker, Natalie T. – Teaching Children Mathematics, 2011
Representations play a key role in mathematical thinking: They offer "a medium" to express mathematical knowledge or organize mathematical information and to discern mathematical relationships (e.g., relative household expenditures on a pie chart) using text, symbols, or graphics. They also furnish "tools" for mathematical processes (e.g., use of…
Descriptors: Mathematics Education, Charts, Mathematics Instruction, Models