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Seiboldt, Cassandra R.; Males, Lorraine M.; Males, Joshua R. – Mathematics Teacher, 2019

Beginning a teaching career and working to prepare and support beginning teachers is a roller-coaster of successes and puzzling moments. In this article, author Cassandra (Cassie) Seiboldt shares how she learned to manage her first years of teaching by purposefully planning through anticipating student thinking and solutions, and the positive…

Descriptors: Mathematics Teachers, Teacher Educators, Mathematics Instruction, Beginning Teachers

Nabb, Keith; Hofacker, Erick B.; Ernie, Kathryn T.; Ahrendt, Susan – Mathematics Teacher, 2018

This article highlights three of the eight Mathematics Teaching Practices (MTP) published in the National Council of Teachers of Mathematics' (NCTM's) "Principles to Actions: Ensuring Mathematical Success for All" (2014): (1) facilitating meaningful mathematical discourse (MTP 4); (2) posing purposeful questions (MTP 5); and (3)…

Descriptors: Mathematics Instruction, Teaching Methods, Active Learning, Calculus

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

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

Lommatsch, Christina W. – Mathematics Teacher, 2017

"Find the extreme values of the function." "At what rate is the distance between A and B increasing after 12 seconds?" Prompts like these can be heard in most first-semester calculus courses. Unfortunately, these cues also tend to prompt students' eyes to glaze over with thoughts of "When will I ever use this?" This…

Descriptors: Mathematics Instruction, Calculus, Relevance (Education), Career Choice

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

Strayer, Jeremy F.; Hart, James B.; Bleiler-Baxter, Sarah K. – Mathematics Teacher, 2016

On a typical day in a university precalculus classroom, as students arrive, they settle into their small groups and begin sharing their ideas and questions from the homework assigned the previous night. It can be quite challenging to create a learning environment in which students engage in mathematical thinking outside class and are prepared to…

Descriptors: College Mathematics, Calculus, Mathematics Instruction, Technology Uses in Education

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

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

Urbina-Lilback, Ruth N. – Mathematics Teacher, 2016

The statistics about community college developmental math level and completion rates can seem disheartening, especially for those who work with these students day-to-day and know their life stories. When it comes to teaching her students, the author chooses not to focus on the statistics. Instead, she pays attention to their varied career goals…

Descriptors: Student Diversity, Community Colleges, Two Year College Students, Two Year Colleges

Roepke, Tena L.; Gallagher, Debra K. – Mathematics Teacher, 2015

Mathematics preservice teachers often complain vehemently about their required content-area reading courses. They ask such questions as, "Why do I have to worry about literacy when I'm going to be a mathematics teacher?" or "How will this ever help me in my mathematics classes?" or "When will I ever have time for…

Descriptors: Mathematics Teachers, Preservice Teachers, Content Area Reading, Literacy

Szydlik, Jennifer Earles – Mathematics Teacher, 2015

Classroom culture is established through both conversations and practices. Traditionally in mathematics class, the focus is primarily on the latter; that is, students are shown what "doing mathematics" looks like, and then asked that they try it themselves. This article discusses three mathematical conversations that help bring…

Descriptors: Mathematics Instruction, Algebra, Discussion (Teaching Technique), Mathematical Concepts

Nagle, Courtney R.; Styers, Jodie L. – Mathematics Teacher, 2015

Although many factors affect students' mathematical activity during a lesson, the teacher's selection and implementation of tasks is arguably the most influential in determining the level of student engagement. Mathematical tasks are intended to focus students' attention on a particular mathematical concept and it is the careful developing and…

Descriptors: Mathematics Instruction, Mathematics Activities, Context Effect, Mathematical Logic

Bressoud, David – Mathematics Teacher, 2015

Over the past five years, the Mathematical Association of America, with support from the National Science Foundation, has explored the teaching of mainstream Calculus 1 at the postsecondary level, where by "mainstream" we mean those courses that can be used as part of the prerequisite stream to more advanced postsecondary mathematics. We…

Descriptors: College Students, College Mathematics, Calculus, National Surveys

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