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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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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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Mooney, Eileen B. – Mathematics Teacher, 2018
Top-down implementation of technology is one of the most pervasive phenomena of the last couple of decades in educational history. It is the subject of many books, articles, and blog posts on how to fix schools or why educational technology is not working in the classroom. The idea of providing teachers with technology so they can make students…
Descriptors: Educational Technology, Technology Uses in Education, Teaching Methods, Mathematics Instruction
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Clinch, Adam – Mathematics Teacher, 2018
One of the foundational topics in first-year algebra concerns the concept of factoring. This article discusses an alternative strategy for factoring quadratics of the form ax[superscript 2] + bx + c, known as "factoring for roots." This strategy enables students to extend the knowledge they used when the leading coefficient was 1 and…
Descriptors: Mathematics Instruction, Algebra, Teaching Methods, Problem Solving
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Ghosh, Jonaki B. – Mathematics Teacher, 2018
The Tower of Hanoi is an old, popular, and engaging puzzle. It is an exceptional puzzle too considering how effective it can be in engendering multiple valuable outcomes when used as a tool for learning. One of the fundamental goals of mathematics teacher preparation is to enable the prospective teacher to develop mathematical habits of mind and…
Descriptors: Mathematics Instruction, Teaching Methods, Puzzles, Preservice Teachers
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Dibbs, Rebecca; Beach, Janessa; Rios, Daniel – Mathematics Teacher, 2018
Rich mathematical modeling activities are crucial to giving students agency and making mathematics meaningful. Proportional reasoning and transitional algebraic reasoning are the primary topics in the prealgebra curriculum, so a need exists for meaningful modeling activities using proportional reasoning in addition to geometric modeling. In…
Descriptors: High School Freshmen, Grade 9, Mathematics Education, Mathematics Activities
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Nirode, Wayne – Mathematics Teacher, 2018
When the author first started teaching twenty years ago, he thought that as long as he was using dynamic geometry software (DGS) for students to "discover" conjectures instead of them learning the conjectures from a lecture or the textbook, he was maximizing their learning potential because they were using technology. Over the years, he…
Descriptors: Geometry, Computer Software, Computer Assisted Instruction, Mathematics Instruction
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Quintanilla, John A. – Mathematics Teacher, 2017
Exploration with spreadsheets and reliance on previous skills can lead students to determine the line of best fit. To perform linear regression on a set of data, students in Algebra 2 (or, in principle, Algebra 1) do not have to settle for using the mysterious "black box" of their graphing calculators (or other classroom technologies).…
Descriptors: Algebra, Mathematics Instruction, Regression (Statistics), Spreadsheets
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McGraw, Rebecca – Mathematics Teacher, 2017
The task shared in this article provides geometry students with opportunities to recall and use basic geometry vocabulary, extend their knowledge of area relationships, and create area formulas. It is characterized by reasoning and sense making (NCTM 2009) and the "Construct viable arguments and critique the reasoning of others"…
Descriptors: Mathematics Education, Geometric Concepts, Mathematical Formulas, Mathematics Skills
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Leith, Chad; Rose, Elena; King, Tony – Mathematics Teacher, 2016
To create a classroom learning community in which all students are engaged and inspired, a mathematics teacher's mastery of the content must be matched by an awareness of the needs of individual students and an understanding of the instructional strategies that will enable all learners to develop their mathematical knowledge and skills. Yet when…
Descriptors: Mathematics Instruction, English Language Learners, English (Second Language), Immigrants
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McDowell, Eric L. – Mathematics Teacher, 2016
By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…
Descriptors: Fractions, Number Systems, Number Concepts, Numbers
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Gedeborg, Samuel – Mathematics Teacher, 2016
One of the major benefits of the face-to-face teaching environment is that social interaction opportunities are a natural part of the course: Learners meet in the same room for the same allotted period of time each week. This social opportunity is not organic to online courses; therefore, to have this social interaction as a part of online classes…
Descriptors: Mathematics Instruction, Interaction, Asynchronous Communication, Synchronous Communication
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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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Garofalo, Joe; Trinter, Christine P.; Swartz, Barbara A. – Mathematics Teacher, 2015
One method of proof is to provide a logical argument that demonstrates the existence of a mathematical object (e.g., a number) that can be used to prove or disprove a conjecture or statement. Some such proofs result in the actual identification of such an object, whereas others just demonstrate that such an object exists. These types of proofs are…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Secondary School Mathematics
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Conner, Kimberly – Mathematics Teacher, 2015
This article is based on the author's experiences as a second-year teacher at a small private school teaching all sections of Geometry and Algebra 2. Working with the same students in both courses, the author was aware of each one's levels of retention and execution of Algebra 1 concepts before the beginning of the year. The author often noticed…
Descriptors: Algebra, Private Schools, Geometry, Mathematics Skills
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