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Edwards, Clayton M.; Robichaux-Davis, Rebecca R.; Townsend, Brian E. – Mathematics Teaching in the Middle School, 2019
Inquiry-based instruction is a student-centered approach to teaching that focuses on active learning (Barron and Darling-Hammond 2008) in which students engage with "tasks that promote reasoning and problem solving" (NCTM 2014). Specifically, such tasks encourage a variety of solution strategies and stimulate use of the NCTM Process…
Descriptors: Mathematics Instruction, Mathematics Teachers, Active Learning, Inquiry
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Karp, Karen S.; Bush, Sarah B.; Dougherty, Barbara J. – Mathematics Teaching in the Middle School, 2015
Many rules taught in mathematics classrooms "expire" when students develop knowledge that is more sophisticated, such as using new number systems. For example, in elementary grades, students are sometimes taught that "addition makes bigger" or "subtraction makes smaller" when learning to compute with whole numbers,…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Students, Standards
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Avila, Cheryl L.; Ortiz, Enrique – Mathematics Teaching in the Middle School, 2012
Learning mathematics is challenging. It requires discipline, logic, precision, perseverance, and accuracy. It can also be fun. When mathematics is set in a context that inspires students to want to solve interesting problems, students will have an intrinsic desire to learn the necessary skills to accomplish a specific goal. The game of Crypto! was…
Descriptors: Matrices, Graphing Calculators, Mathematics Instruction, Secondary School Mathematics
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Markworth, Kimberly A. – Mathematics Teaching in the Middle School, 2012
Students may be able to set up a relevant proportion and solve through cross multiplication. However, this ability may not reflect the desired mathematical understanding of the covarying relationship that exists between two variables or the equivalent relationship that exists between two ratios. Students who lack this understanding are likely to…
Descriptors: Literacy, Animals, Correlation, Mathematical Concepts
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Dixon, Juli K.; Tobias, Jennifer M. – Mathematics Teaching in the Middle School, 2013
What does it look like to "understand" operations with fractions? The Common Core State Standards for Mathematics (CCSSM) uses the term "understand" when describing expectations for students' knowledge related to each of the fraction operations within grades 4 through 6 (CCSSI 2010). Furthermore, CCSSM elaborates that…
Descriptors: Computation, Arithmetic, Preservice Teacher Education, Preservice Teachers
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Nugent, Patricia M. – Mathematics Teaching in the Middle School, 2007
This article discusses the algorithm for multiplication that is referred to as lattice multiplication. Evidence of how the author's preservice students' conceptual understanding of the algorithm grew through the semester is given. In addition, the author extends the conceptualization of the algorithm from the multiplication of whole numbers to the…
Descriptors: Mathematics Education, Concept Formation, Multiplication, Preservice Teacher Education
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Azim, Diane – Mathematics Teaching in the Middle School, 2002
Describes teaching methods and student-created methods for conceptualizing multiplication with rational numbers. (YDS)
Descriptors: Arithmetic, Mathematics Instruction, Middle Schools, Multiplication