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Gillette, Jane – Mathematics Teacher, 2018
Students often have the misconception that mathematics involves reading the problem, staring at the page, and then writing down an answer. With more than twenty years of experience working with students in eighth-grade math through college calculus, the author has been increasingly interested in how she can foster problem-solving skills in her…
Descriptors: Instructional Materials, Mathematics Education, Mathematics Skills, Problem Solving
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Ichinose, Cherie Lynn; Martinez-Cruz, Armando M. – Mathematics Teacher, 2018
The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) propose a new vision for the mathematics classroom with updated content standards and Standards for Mathematical Practice (SMP). These practices are founded on NCTM processes (Problem Solving, Reasoning and Proof, Communication, Representation, and Connections) and abilities…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Common Core State Standards
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Goldenberg, E. Paul; Carter, Cynthia J.; Mark, June; Nikula, Johannah; Spencer, Deborah B. – Mathematics Teacher, 2017
The Common Core State Standards (CCSSI 2010) for Mathematical Practice have relevance even for those not in CCSS states because they describe the habits of mind that mathematicians--professionals as well as proficient school-age learners--use when doing mathematics. They provide a language to discuss aspects of mathematical practice that are of…
Descriptors: Mathematics Education, Mathematics Instruction, Common Core State Standards, Mathematics Skills
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Sword, Sarah; Matsuura, Ryota; Cuoco, Al; Kang, Jane; Gates, Miriam – Mathematics Teacher, 2018
Mathematical modeling has taken on increasing curricular importance in the past decade due in no small measure to the Common Core State Standards in Mathematics (CCSSM) identifying modeling as one of the Standards for Mathematical Practice (SMP 4, CCSSI 2010, p. 7). Although researchers have worked on mathematical modeling (Lesh and Doerr 2003;…
Descriptors: Mathematics Instruction, Mathematical Models, Learner Engagement, Secondary School Mathematics
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Gates, Miriam; Cordner, Tracy; Kerins, Bowen; Cuoco, Al; Badertscher, Eden; Burrill, Gail – Mathematics Teacher, 2016
The Common Core State Standards for Mathematical Practice (CCSSI 2010) elevate the ways of thinking used to create mathematical results to the same level of importance as the results themselves. These mathematical habits of mind (MHoM), or "specialized ways of approaching mathematical problems and thinking about mathematical concepts that…
Descriptors: Mathematics Education, Mathematics Instruction, Mathematical Concepts, Mathematics
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Gilbertson, Nicholas J.; Rogers, Kimberly Cervello – Mathematics Teacher, 2016
Interesting and engaging mathematics problems can come from anywhere. Sometimes great problems arise from interesting contexts. At other times, interesting problems arise from asking "what if" questions while appreciating the structure and beauty of mathematics. The intriguing problem described in this article resulted from the second…
Descriptors: Mathematics Instruction, English Language Learners, Common Core State Standards, Language Usage