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Wood, Marcy B.; Sheldon, James; Felton-Koestler, Mathew D.; Oslund, Joy; Parks, Amy Noelle; Crespo, Sandra; Featherstone, Helen – Teaching Children Mathematics, 2019
Thinking about students in terms of participation instead of "high" or "low" achievers is more than replacing one term with another; it encourages us to shift our focus to student activity as well as barriers to and supports for productive activity. It encourages us to create classroom spaces that draw on student strengths and…
Descriptors: Mathematics Instruction, Equal Education, Classroom Environment, Student Centered Learning
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Edwards, Thomas G.; Chelst, Kenneth R. – Mathematics Teacher, 2019
While tutoring his granddaughter in second-year algebra recently, the second author lamented that every textbook he could find expresses the quadratic formula as probably the most common form of the formula. What troubled him is that this form hides the meaning of the various components of the equation. Indeed, the meaning was obscured by the…
Descriptors: Mathematics Instruction, Mathematical Formulas, Algebra, Teaching Methods
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Frabasilio, Angela Marie – Mathematics Teaching in the Middle School, 2019
Ever try to captivate students with real-world applications only to discover that they live in a very different world? Assigning an Extreme Word Problem activity to students alleviates this dilemma by placing the authorship of a problem squarely into the hands of learners. Rather than trying to be hip and finding word problems that resonate with…
Descriptors: Word Problems (Mathematics), Mathematics Instruction, Imagination, Problem Solving
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Chu, Haiwen; Hamburger, Leslie – Mathematics Teaching in the Middle School, 2019
All students need to discuss mathematics to develop and deepen understanding. However, for English Learners (ELs), peer dialogue is imperative and indispensable to conceptual understanding as they participate in mathematical practices and engage in increasingly sophisticated uses of language (Heritage, Walqui, and Linquanti 2015). As ELs share…
Descriptors: Mathematics Teachers, Mathematics Instruction, English Language Learners, Peer Relationship
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Sela, Hagit; Davis, Nicole; Hulse, Jennifer – Mathematics Teaching in the Middle School, 2019
In education, "dialogue protocols," or "protocols," are structured guidelines that were developed to promote meaningful and efficient communication and learning. They are "vehicles for building the skills--and culture-- necessary for collaborative work. The authors share protocols that were found to transform practices…
Descriptors: Mathematics Instruction, Mathematics Teachers, Communication Skills, Interpersonal Relationship
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Russell, Craig – Mathematics Teacher, 2019
Although social studies or language arts classes may offer more natural settings for "global studies," the author's students have engaged in projects demonstrating that mathematical topics can work well at furthering the goal of increasing students' cultural literacy. The author describes one project here, where students working in…
Descriptors: Heritage Education, Historic Sites, Tourism, Mathematics Instruction
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Crawford, Lindy; Quebec Fuentes, Sarah; Huscroft-D'Angelo, Jacqueline; Higgins, Kristina N. – Intervention in School and Clinic, 2019
Meaningful inclusion of quantitative reasoning into mathematics instruction requires meaningful ways to evaluate it. Few formative assessments exist to evaluate the strategies students use when reasoning mathematically. The Framework for Evaluating Quantitative Reasoning Strategies presented in this article provides teachers with categories for…
Descriptors: Fractions, Mathematics Instruction, Mathematical Logic, Student Evaluation
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Johnson, Heather Lynn; Dunlap, Joanna C.; Verma, Geeta; McClintock, Evan; DeBay, Dennis J.; Bourdeaux, Brandy – TechTrends: Linking Research and Practice to Improve Learning, 2019
In this article, we share design guidelines for the development and use of online, video-based "teaching playgrounds," which provide opportunities for prospective teachers to engage in professional noticing of teaching practices. Through teaching playgrounds, we provide an instantiation of the Presence+Experience framework, which…
Descriptors: Video Technology, Playgrounds, Online Courses, Design
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Herbel-Eisenmann, Beth; Shah, Niral – Mathematics Teaching in the Middle School, 2019
This article explores teaching practices described in NCTM's [National Council of Teachers of Mathematics'] "Principles to Actions: Ensuring Mathematical Success for All." Investigating and mitigating implicit bias in questions are discussed in this article, which is another installment in the series.
Descriptors: Teaching Methods, Mathematics Instruction, Middle School Mathematics, Questioning Techniques
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Bush, Sarah B. – Mathematics Teaching in the Middle School, 2019
In April 2018, the National Council of Teachers of Mathematics (NCTM) released "Catalyzing Change in High School Mathematics: Initiating Critical Conversations," a long-needed and well-articulated position for transforming the core purposes, structures, instructional practices, essential mathematics concepts, and organization of high…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Educational Change, Mathematical Concepts
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Stephan, Michelle; Smith, Jennifer – Mathematics Teaching in the Middle School, 2019
Engaging in argumentation can lead to an increase in the development of critical-thinking skills, not to mention academic achievement, emotional maturity, and academic and communication skills. If argumentation is such an effective format for developing rigorous academic ideas, how might it be used in discussion-oriented classrooms to engage…
Descriptors: Mathematics Instruction, Mathematics Teachers, Middle School Teachers, Middle School Mathematics
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Cozzo, Thérèse; Cozzo, Joseph – Mathematics Teacher, 2019
In the late 1800s and early 1900s, increases in metallurgic technology and better manufacturing methods made naval artillery a more powerful force. Guns could fire more powerful shells that could travel farther and hit a target with much greater accuracy. Torpedoes represented a major threat to even the most powerful of warships, forcing captains…
Descriptors: Mathematics Instruction, Mathematical Models, Trigonometry, Mathematical Concepts
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Weber, Christof – Mathematics Teacher, 2019
Students' difficulties understanding the meaning of logarithms could stem in part from differences between teachers' and students' views of them. The purpose of this article is to unpack some specialized content knowledge for teaching logarithms. The author discusses the history of logarithms to show why they can be understood as repeated…
Descriptors: Mathematics Instruction, Teaching Methods, Difficulty Level, Numbers
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Purvinis, Elaine M.; Fagan, Joshua B. – Mathematics Teacher, 2019
In first- and second-year algebra classrooms, the all-too-familiar whine of "when are we ever going to use this in real life?" challenges mathematics teachers to find new, engaging ways to present mathematical concepts. The introduction of quadratic equations is typically modeled by describing the motion of a moving object with respect…
Descriptors: Algebra, Mathematical Concepts, Equations (Mathematics), Mathematics Instruction
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Stuart, Rick; Chedister, Matt – Mathematics Teacher, 2019
While students were constructing the concept of rates of change, linear relationships, and nonlinear relationships in a first-year algebra class, the wanted to build a task that allowed them to increase their understanding of covariation, that is, how two variables change in relation to each other. Research has shown that students who have built…
Descriptors: Correlation, Algebra, Mathematics Instruction, Mathematical Concepts
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