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Huang, Rongjin; Prince, Kyle M.; Schmidt, Teresa – Mathematics Teacher, 2014

The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…

Descriptors: Algebra, Mathematics Education, Mathematics Instruction, Mathematical Applications

Kinach, Barbara M. – Mathematics Teacher, 2012

Learning to reason spatially is increasingly recognized as an essential component of geometry education. Generally taken to be the "ability to represent, generate, transform, communicate, document, and reflect on visual information," "spatial reasoning" uses the spatial relationships between objects to form ideas. Spatial thinking takes a variety…

Descriptors: Learning Activities, Teaching Methods, Geometry, Geometric Concepts

Barnes, Rachael; Hamon, Suzanne – Mathematics Teacher, 2010

The prealgebra curriculum presents many opportunities for encouraging students to justify their inferences. Requiring students to communicate clearly the reasoning behind their solutions, with appropriate mathematical language and notation, helps lay the groundwork for future, proof-based mathematics courses. Prealgebra students can even be…

Descriptors: Learning Activities, Algebra, Inferences, Mathematics Instruction