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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

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

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

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

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

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

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

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

Kinach, Barbara M. – Mathematics Teacher, 2012

Learning to reason spatially is increasingly recognized as an essential component of geometry education. Generally taken to be the "ability to represent, generate, transform, communicate, document, and reflect on visual information," "spatial reasoning" uses the spatial relationships between objects to form ideas. Spatial thinking takes a variety…

Descriptors: Learning Activities, Teaching Methods, Geometry, Geometric Concepts

Noblitt, Bethany A.; Buckley, Brooke E. – Mathematics Teacher, 2011

Teams, pit stops, clues, time limits, fast forwards, challenges, and prizes are all components of the CBS hit show "The Amazing Race." They were also elements of the Amazing Mathematical Race sponsored by the Math and Stats Club at Northern Kentucky University in April 2009. Held in recognition of Math Awareness Month, which is advocated…

Descriptors: Mathematics Instruction, Teaching Methods, College Mathematics, Statistics

Jones, Dustin L. – Mathematics Teacher, 2009

The author describes an activity where prospective mathematics teachers made hypotheses about the dimensions of a fair cylindrical die and conducted experiments with different cylinders. He also provides a model that estimates the probability that a cylinder would land on the lateral surface, depending on the height and diameter of the cylinder.…

Descriptors: Mathematics Teachers, Probability, Mathematics Instruction, Mathematical Concepts

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

Zelkowski, Jeremy; Mayes, Robert – Mathematics Teacher, 2008

The article focuses on engaging students in algebra through modeling real-world problems. The technique of least squares is explored, encouraging students to develop a deeper understanding of the method. (Contains 2 figures and a bibliography.)

Descriptors: Problem Solving, Relevance (Education), Least Squares Statistics, Algebra