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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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Ko, Yi-Yin; Yee, Sean P.; Bleiler-Baxter, Sarah K.; Boyle, Justin D. – Mathematics Teacher, 2016
This article describes the authors' three-component instructional sequence--a before-class activity, a during-class activity, and an after-class activity--which supports students in becoming self-regulated proof learners by actively developing class-based criteria for proof. All four authors implemented this sequence in their classrooms, and the…
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
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Wasserman, Nicholas H. – Mathematics Teacher, 2014
Today, the Common Core State Standards for Mathematics (CCSSI 2010) expect students in as early as eighth grade to be knowledgeable about irrational numbers. Yet a common tendency in classrooms and on standardized tests is to avoid rational and irrational solutions to problems in favor of integer solutions, which are easier for students to…
Descriptors: Mathematics Instruction, Academic Standards, Number Concepts, Problem Solving
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Hardy, Michael D. – Mathematics Teacher, 2014
Unit conversion need not be boring. If students see that the skill is necessary, both their motivation to learn and their appreciation of the process can be enhanced. As a result, students become actively engaged and construct understanding and computational skills that they will retain over time. The activity described here makes use of scale…
Descriptors: Mathematics Instruction, Motor Vehicles, Mathematics Skills, Teaching Methods
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Pilgrim, Mary E. – Mathematics Teacher, 2014
The Common Core State Standards (CCSS) provide teachers with the expectations and requirements that are meant to prepare K-12 students for college and the workforce (CCSSI 2010b). The Common Core State Standards for Mathematical Practice (SMPs) emphasize the development of skills and conceptual understanding for students to become proficient in…
Descriptors: Calculus, Mathematics Education, State Standards, Active Learning
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Landers, Mara G. – Mathematics Teacher, 2013
In this article, the author describes the development and implementation of a measurement-based group activity designed to support students in understanding the connection between angle magnitude and the shape of the sine function. She explains that the benefit of this activity is that it allows students to build their trigonometric knowledge…
Descriptors: Mathematics Instruction, Trigonometry, Mathematical Concepts, Experiential Learning
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Jones, Steven R. – Mathematics Teacher, 2013
Calculus instruction is an important topic for high school and college teachers alike. A prime target for attention is integration, which, unfortunately, students too often treat as a rote procedure. Understanding the integral better will support students' application of their mathematical knowledge to science, technology, and engineering…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Teaching Methods
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Raje, Sonali; Krach, Michael; Kaplan, Gail – Mathematics Teacher, 2013
Concepts in mathematics are often universally applicable to other fields. A critical aspect for success in high school or college is the ability to transfer content knowledge from one discipline to another. This is especially true for material learned in the sciences and mathematics. Several studies have suggested that strong mathematical skills…
Descriptors: College School Cooperation, Mathematics Instruction, Secondary School Mathematics, Problem Solving
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Mulekar, Madhuri S.; Siegel, Murray H. – Mathematics Teacher, 2009
If students are to understand inferential statistics successfully, they must have a profound understanding of the nature of the sampling distribution. Specifically, they must comprehend the determination of the expected value and standard error of a sampling distribution as well as the meaning of the central limit theorem. Many students in a high…
Descriptors: Statistical Inference, Statistics, Sample Size, Error of Measurement