A Pathway for Mathematical Practices

2013 ◽  
Vol 19 (6) ◽  
pp. 354-362 ◽  
Author(s):  
Melanie Wenrick ◽  
Jean L. Behrend ◽  
Laura C. Mohs

See how the NCTM Process Standards in action integrate Common Core State Standards in a second-grade classroom.

2015 ◽  
pp. 1076-1091
Author(s):  
Drew Polly ◽  
Trisha Hill ◽  
Tabitha Vuljanic

The composing and decomposing of geometric shapes is a building block in children's development of geometry and spatial reasoning. The Common Core State Standards in Mathematics focus and emphasize the need for students to build composite shapes from smaller shapes and break a geometric shape into smaller shapes. This chapter presents findings from an exploratory study that examined both teachers' and students' experiences working with shape puzzles. Inductive qualitative analysis of field notes and student work samples indicated that shape puzzles provided opportunities for students to develop a deeper understanding of spatial reasoning. In certain subgroups of students, the vocabulary terms related to students' work revealed a disconnection between students' work and their oral explanations of their processes. Implications for professional development and classroom implementation in light of the Common Core State Standards are shared.


2014 ◽  
Vol 21 (1) ◽  
pp. 27-35
Author(s):  
Gabriel T. Matney

To develop second-grade students' confidence and ease, use these three specific types of tasks that align with Common Core State Standards for Mathematics expectations.


2015 ◽  
Vol 108 (6) ◽  
pp. 461-465 ◽  
Author(s):  
Elise Lockwood ◽  
Eric Weber

The authors consider the Common Core State Standards for Mathematics (CCSSM) standards for content and practice through the lens of Harel's (2008a) Duality Principle to help empower teachers as they interpret and implement the CCSSM.


2014 ◽  
Vol 19 (9) ◽  
pp. 564-570
Author(s):  
Ryota Matsuura ◽  
Yu Yan Xu

This activity involves finding the distance between two points in a coordinate plane and emphasizes reasoning from repeated calculations, which is one of the mathematical practices specified by the Common Core State Standards for Mathematics.


Author(s):  
Drew Polly ◽  
Trisha Hill ◽  
Tabitha Vuljanic

The composing and decomposing of geometric shapes is a building block in children's development of geometry and spatial reasoning. The Common Core State Standards in Mathematics focus and emphasize the need for students to build composite shapes from smaller shapes and break a geometric shape into smaller shapes. This chapter presents findings from an exploratory study that examined both teachers' and students' experiences working with shape puzzles. Inductive qualitative analysis of field notes and student work samples indicated that shape puzzles provided opportunities for students to develop a deeper understanding of spatial reasoning. In certain subgroups of students, the vocabulary terms related to students' work revealed a disconnection between students' work and their oral explanations of their processes. Implications for professional development and classroom implementation in light of the Common Core State Standards are shared.


Author(s):  
Christie Martin ◽  
Drew Polly

The Common Core State Standards in Mathematics and English/Language Arts necessitate that teachers provide opportunities for their students to write about mathematical concepts in ways that extend beyond simply a summary of how students solve mathematical tasks. This study examined how mathematics journals in a fourth grade classroom supported students’ mathematical experiences and reflected their understanding of concepts. Implications for the use of technology to support mathematics journals are also discussed.


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