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Showing 1 to 15 of 36 results Save | Export
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Nirode, Wayne – Mathematics Teacher, 2018
Twenty years ago when the author was student teaching, he quickly learned what geometry teachers and researchers (e.g., Senk 1985) have long known: High school geometry students struggle with proof. Throughout his career, he has tried to create instructional materials to make proof more accessible to his students. From field-testing materials with…
Descriptors: Secondary School Mathematics, High Schools, Geometry, Mathematics Instruction
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Bixby, Matt M. – Mathematics Teacher, 2018
Almost twenty years ago, the National Council of Teachers of Mathematics (NCTM) published "Principles and Standards for School Mathematics" (2000), which recommended that teachers should incorporate more writing into their math lessons, claiming that writing helps students "consolidate their thinking" (p. 402) by causing them…
Descriptors: Mathematics Instruction, Writing Assignments, Teaching Methods, Content Area Writing
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Adams, Caleb L. – Mathematics Teacher, 2018
Polynomials with rational roots and extrema may be difficult to create. Although techniques for solving cubic polynomials exist, students struggle with solutions that are in a complicated format. Presented in this article is a way instructors may wish to introduce the topics of roots and critical numbers of polynomial functions in calculus. In a…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Concept Formation
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de Voogt, Alex; Rougetet, Lisa; Epstein, Nathan – Mathematics Teacher, 2018
Some research has suggested the use of mancala games in mathematics education. The immediate concepts associated with playing mancala games have been limited to counting as well as addition and subtraction, so the potential of mancala has remained limited to primary school education. This proposed adaptation of a mancala game allows for teaching…
Descriptors: Educational Games, Mathematics Instruction, Secondary School Mathematics, High Schools
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Richardson, Janessa; Bachman, Rachel M. – Mathematics Teacher, 2017
This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to…
Descriptors: Preservice Teachers, Mathematics Instruction, Mathematical Concepts, Mathematical Logic
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Dougherty, Barbara J.; Bush, Sarah B.; Karp, Karen S. – Mathematics Teacher, 2017
The perpetuation of mathematical rules that expire (Karp, Bush, and Dougherty 2014; 2015), or rules that are taught in previous grades that no longer hold true, suggests that many secondary students harbor misconceptions from their elementary and middle-grades mathematics experiences as they progress to mathematics classes that are more…
Descriptors: Mathematics Instruction, Secondary School Mathematics, High Schools, Standards
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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
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Case, Catherine; Whitaker, Douglas – Mathematics Teacher, 2016
In the criminal justice system, defendants accused of a crime are presumed innocent until proven guilty. Statistical inference in any context is built on an analogous principle: The null hypothesis--often a hypothesis of "no difference" or "no effect"--is presumed true unless there is sufficient evidence against it. In this…
Descriptors: Mathematics Instruction, Technology Uses in Education, Educational Technology, Statistical Inference
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Quinn, Anne; Larson, Karen – Mathematics Teacher, 2016
Consistent with the Common Core State Standards for Mathematics (CCSSI 2010), the authors write that they have asked students to do statistics projects with real data. To obtain real data, their students use the free Web-based app, Census at School, created by the American Statistical Association (ASA) to help promote civic awareness among school…
Descriptors: Statistical Analysis, Technology Uses in Education, Mathematics Instruction, Statistics
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Brelias, Anastasia – Mathematics Teacher, 2015
Recommendations for reforming high school mathematics curricula emphasize the importance of engaging students in mathematical investigations of societal issues (CCSSI [Common Core State Standards Initiative] 2010; NCTM [National Council of Teachers of Mathematics] 2000). Proponents argue that these investigations can positively influence students'…
Descriptors: Secondary School Mathematics, High Schools, Mathematics Curriculum, Statistics
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Meyer, Dan – Mathematics Teacher, 2015
The Common Core State Standards for Mathematics (CCSSM) have exerted enormous pressure on every participant in a child's education. Students are struggling to meet new standards for mathematics learning, and parents are struggling to understand how to help them. Teachers are growing in their capacity to develop new mathematical competencies, and…
Descriptors: Mathematical Models, Mathematics Instruction, Academic Standards, State Standards
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Anhalt, Cynthia Oropesa; Cortez, Ricardo – Mathematics Teacher, 2015
Mathematical modeling, in which students use mathematics to explain or interpret physical, social, or scientific phenomena, is an essential component of the high school curriculum. The Common Core State Standards for Mathematics (CCSSM) classify modeling as a K-12 standard for mathematical practice and as a conceptual category for high school…
Descriptors: Mathematics Instruction, Mathematical Models, Teaching Methods, Mathematical Concepts
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Smith, Scott G. – Mathematics Teacher, 2015
In this article, Scott Smith presents an innocent problem (Problem 12 of the May 2001 Calendar from "Mathematics Teacher" ("MT" May 2001, vol. 94, no. 5, p. 384) that was transformed by several timely "what if?" questions into a rewarding investigation of some interesting mathematics. These investigations led to two…
Descriptors: Mathematics Instruction, Problem Solving, Mathematical Concepts, Generalization
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Murawska, Jaclyn M.; Nabb, Keith A. – Mathematics Teacher, 2015
Sometimes the best mathematics problems come from the most unexpected situations. Last summer, a Corvette raced down a local quarter-mile drag strip. The driver, a family member, provided the spectators with time and distance-traveled data from his time slip and asked "Can you calculate how many seconds it took me to go from 0 to 60…
Descriptors: Mathematics Instruction, Problem Solving, Word Problems (Mathematics), High Schools
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Keazer, Lindsay M.; Menon, Rahul S. – Mathematics Teacher, 2015
This article argues that the practices of reasoning and sense making are critical for developing students' mathematical literacy. Seven mathematics teachers collaborated throughout a school year to discuss the ideas proposed in Reasoning and Sense Making (NCTM 2009) and put them into practice through action research. Conducting action research,…
Descriptors: Mathematics Instruction, Mathematics Teachers, Mathematical Logic, Teacher Collaboration
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