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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

Rebholz, Joachim A. – Mathematics Teacher, 2017

Graphing functions is an important topic in algebra and precalculus high school courses. The functions that are usually discussed include polynomials, rational, exponential, and trigonometric functions along with their inverses. These functions can be used to teach different aspects of function theory: domain, range, monotonicity, inverse…

Descriptors: Mathematics Instruction, High School Students, Secondary School Mathematics, Graphs

Angotti, Robin – Mathematics Teacher, 2017

This article describes Gapminder, a dynamic time-series graph that can be found at http://www.gapminder.org. Gapminder was created by a team of developers (Rosling, Ronnlund, and Rosling 2005) to create beautiful, interactive graphs of otherwise lifeless numbers. Their goal is increased use and understanding of statistics and data that…

Descriptors: Mathematics Instruction, Statistics, Visualization, Data

Borkovitz, Debra K.; Haferd, Thomas – Mathematics Teacher, 2017

Clock Buddies is our favorite first-day-of-class activity. It starts as a nonthreatening icebreaker activity that helps students learn one another's names, but it soon asks students to find their own strategies for solving a real-world scheduling problem. Even highly math phobic students work with others and succeed. Students gain insight from…

Descriptors: Mathematics Instruction, Mathematics Activities, Arithmetic, Problem Solving

Samuels, Jason – Mathematics Teacher, 2017

Calculus has frequently been called one the greatest intellectual achievements of humankind. As a key transitional course to college mathematics, it combines such elementary ideas as rate with new abstract ideas--such as infinity, instantaneous change, and limit--to formulate the derivative and the integral. Most calculus texts begin with the…

Descriptors: Mathematics Instruction, Calculus, Graphs, Problem Solving

Özgün-Koca, S. Asli – Mathematics Teacher, 2016

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

Descriptors: Mathematics Instruction, Technology Uses in Education, Educational Technology, Mathematical Concepts

Sole, Marla A. – Mathematics Teacher, 2016

Every day, students collect, organize, and analyze data to make decisions. In this data-driven world, people need to assess how much trust they can place in summary statistics. The results of every survey and the safety of every drug that undergoes a clinical trial depend on the correct application of appropriate statistics. Recognizing the…

Descriptors: Statistics, Mathematics Instruction, Data Collection, Teaching Methods

Grünberg, David; Matt, Andreas – Mathematics Teacher, 2015

Children love sculpting clay or building sand castles, creating objects in three dimensions before they have the motor skills to draw in two dimensions. Similar arguments applied to the study of curves and graphs in high school mathematics would suggest that students' work and calculation with shapes should move sequentially from concrete to more…

Descriptors: Algebra, Secondary School Mathematics, High School Students, Grade 9

Willis, Melinda B. N.; Hay, Sue; Martin, Fred G.; Scribner-MacLean, Michelle; Rudnicki, Ivan – Mathematics Teacher, 2015

Mathematics teachers continually look for ways to make the learning of mathematics more active and engaging. Hands-on activities, in particular, have been demonstrated to improve student engagement and understanding in mathematics classes. Likewise, many scholars have emphasized the growing importance of giving students experience with the…

Descriptors: Mathematics Instruction, Visualization, Computer Software, Computer Uses in Education

Nebesniak, Amy L.; Burgoa, A. Aaron – Mathematics Teacher, 2015

As teachers working with students in entry-level algebra classes, authors Amy Nebesniak and A. Aaron Burgoa realized that their instruction was a major factor in how their students viewed mathematics. They often presented students with abstract formulas that seemed to appear out of thin air. One instance occurred while they were teaching students…

Descriptors: Mathematics Instruction, Algebra, Equations (Mathematics), Mathematical Formulas

Peters, Jehu; Metz, Don – Mathematics Teacher, 2015

Children of the Earth High School in Winnipeg, Manitoba, is a school dedicated to incorporating Aboriginal perspectives into all areas of the Manitoba curriculum and is attended by an almost exclusive Aboriginal population. Many of these students come from a First Nations community and are related to others who come from such communities, the…

Descriptors: Foreign Countries, High School Students, Canada Natives, Interpersonal Relationship

Fonger, Nicole L. – Mathematics Teacher, 2014

How can the key concept of equivalent expressions be addressed so that students strengthen their representational fluency with symbols, graphs, and numbers? How can research inform the synergistic use of both paper-and-pencil analysis and computer algebra systems (CAS) in a classroom learning environment? These and other related questions have…

Descriptors: Mathematics Instruction, Mathematical Concepts, Computer Uses in Education, Algebra

Switzer, J. Matt – Mathematics Teacher, 2014

Students often have difficulty with graphing inequalities (see Filloy, Rojano, and Rubio 2002; Drijvers 2002), and J. Matt Switzer's students were no exception. Although students can produce graphs for simple inequalities, they often struggle when the format of the inequality is unfamiliar. Even when producing a correct graph of an…

Descriptors: Mathematics Instruction, Graphs, Learning Activities, Concept Formation

Moore, Kevin c.; LaForest, Kevin R. – Mathematics Teacher, 2014

How do students think about an angle measure of ninety degrees? How do they think about ratios and values on the unit circle? How might angle measure be used to connect right-triangle trigonometry and circular functions? And why might asking these questions be important when introducing trigonometric functions to students? When teaching…

Descriptors: Trigonometry, Mathematics Instruction, Mathematical Concepts, Mathematical Logic

Kirwan, J. Vince; Tobias, Jennifer M. – Mathematics Teacher, 2014

To understand multiple representations in algebra, students must be able to describe relationships through a variety of formats, such as graphs, tables, pictures, and equations. NCTM indicates that varied representations are "essential elements in supporting students' understanding of mathematical concepts and relationships" (NCTM…

Descriptors: Mathematics Instruction, Algebra, Graphs, Tables (Data)