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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

Remijan, Kelly W. – Mathematics Teacher, 2019

Just as steam was found to be a source of power during the Industrial Revolution, increasing factory production and improving transportation, today STEAM (Science, Technology, Engineering, Art, and Mathematics) can be found to be a framework that empowers teachers, increases student engagement, and improves student understanding. Although a…

Descriptors: STEM Education, Art Education, Integrated Curriculum, Curriculum Implementation

Zhao, Manqian; Lapuk, Karen – Mathematics Teacher, 2019

According to the National Center for Education Statistics (2016), the number of public school students in the United States who were English learners (ELs) was estimated at 4.5 million. However, in 2005, the national standardized testing scores (Fry 2007) show that about 51 percent of eighth-grade EL students were behind other students in reading…

Descriptors: Mathematics Education, Mathematics Instruction, English Language Learners, Mathematics Teachers

Hawthorne, Casey; Druken, Bridget K. – Mathematics Teacher, 2019

Both the Common Core State Standards (CCSSI 2010) and the NCTM Process and Content Standards distinguish between Standards for Mathematical Practice (SMP) and standards for mathematical content. We believe this distinction is important and note that students often acquire knowledge of mathematical content without necessarily developing the related…

Descriptors: Mathematics Skills, Mathematical Logic, Mathematics Instruction, Problem Solving

Eichhorn, Melinda S.; DiMauro, Peter J.; Lacson, Courtney; Dennie, Barbara – Mathematics Teacher, 2019

One of the most important roles of a teacher is to create a safe space for learners, consistent with the Center for Applied Special Technology (CAST) Universal Design for Learning guidelines (CAST 2011). Universal Design for Learning (UDL) is a framework for teaching and learning, based on neuroscience research, that guides teachers to eliminate…

Descriptors: Educational Environment, Mathematics Education, Access to Education, Learner Engagement

Edwards, Thomas G.; Chelst, Kenneth R. – Mathematics Teacher, 2019

While tutoring his granddaughter in second-year algebra recently, the second author lamented that every textbook he could find expresses the quadratic formula as probably the most common form of the formula. What troubled him is that this form hides the meaning of the various components of the equation. Indeed, the meaning was obscured by the…

Descriptors: Mathematics Instruction, Mathematical Formulas, Algebra, Teaching Methods

Russell, Craig – Mathematics Teacher, 2019

Although social studies or language arts classes may offer more natural settings for "global studies," the author's students have engaged in projects demonstrating that mathematical topics can work well at furthering the goal of increasing students' cultural literacy. The author describes one project here, where students working in…

Descriptors: Heritage Education, Historic Sites, Tourism, Mathematics Instruction

Becker, Brooke – Mathematics Teacher, 2019

Many students share a certain amount of discomfort when encountering proofs in geometry class for the first time. The logic and reasoning process behind proof writing, however, is a vital foundation for mathematical understanding that should not be overlooked. A clearly developed argument helps students organize their thoughts and make…

Descriptors: Misconceptions, Persuasive Discourse, Mathematics Instruction, Geometry

Bowers, Adam – Mathematics Teacher, 2019

The fundamental theorem of calculus (FTC) plays a crucial role in mathematics, showing that the seemingly unconnected topics of differentiation and integration are intimately related. Indeed, it is the fundamental theorem that enables definite integrals to be evaluated exactly in many cases that would otherwise be intractable. Students commonly…

Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Symbols (Mathematics)

Nirode, Wayne – Mathematics Teacher, 2019

To address student misconceptions and promote student learning, use discussion questions as an alternative to reviewing assessments. This article describes how using discussion questions as an alternative to going over the test can address student misconceptions and can promote student learning.

Descriptors: Mathematics Instruction, Misconceptions, Mathematics Teachers, Grading

Soon, Low Chee – Mathematics Teacher, 2019

How students' rigid perceptions of mathematics persist over years has been a conundrum. Students not only think that only one solution exists for a mathematical task (Schoenfeld 1985) but also rigidly fuse mathematical concepts with specific tasks. Students deserve to learn a variety of mathematical strategies to flexibly deploy at will. Teaching…

Descriptors: Mathematics Instruction, Mathematical Concepts, Problem Solving, Mathematics Teachers

Mathematics Teacher, 2019

Despite repeated discussions and practice, algebra students continue to make variable errors, in many ways, year after year. This same problem appeared thirty years ago in a list of common errors that math teachers today would immediately recognize, many involving exponents and distribution (Marquis 1988). Similar complaints even appeared in the…

Descriptors: Algebra, Error Patterns, Misconceptions, Mathematics Skills

Colindres, Carlos A. Mejía; Peters, Stephanie – Mathematics Teacher, 2019

According to the conceptual framework for K-grade 12 statistics education introduced in the 2007 Guidelines for Assessment and Instruction in Statistics Education (GAISE) report, students can be located at one of three developmental levels of statistical literacy: A, B, or C. These levels are independent of age and grade level, so, in theory,…

Descriptors: Mathematics Instruction, Probability, Mathematics Teachers, Grade 8

Sole, Marla A. – Mathematics Teacher, 2019

The National Council of Teachers of Mathematics (NCTM) has called on teachers to create supportive and equitable classroom environments, to steadfastly advocate that all students can learn mathematics, to hold high expectations for all students and to adopt practices that offer students the opportunity to excel (NCTM 2014). The overarching aim of…

Descriptors: Mathematics Instruction, Classroom Environment, Mathematics Achievement, Teacher Expectations of Students

Kinser-Traut, Jennifer Y. – Mathematics Teacher, 2019

In this article, the author, a ninth grade teacher at a Title I high school, describes how she began her algebra classes with an open-ended research project, entitled Why Math? This project offered opportunities for students to reflect on why mathematics is important and to determine its relevance to them as individuals, that is, why…

Descriptors: Mathematics Instruction, Algebra, Learner Engagement, Grade 9