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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

Goetz, Albert – Mathematics Teacher, 2016

"Media Clips" appears in every issue of "Mathematics Teacher," offering readers contemporary, authentic applications of quantitative reasoning based on print or electronic media. Based on "In All the Light We Cannot See" (2014), by Anthony Doerr, this article provides a brief trigonometry problem that was solved by…

Descriptors: Mathematics Instruction, Trigonometry, Problem Solving, Equations (Mathematics)

Hord, Casey; Marita, Samantha; Walsh, Jennifer B.; Tomaro, Taylor-Marie; Gordon, Kiyana – Mathematics Teacher, 2016

When a student with a learning disability approaches you in class, in study hall, or after school and asks for help, do you wish you had more strategies to help her catch up in class? When a student with a learning disability needs to be pulled aside and given some one-on-one instruction, do you struggle to get him restarted after he has shut…

Descriptors: Learning Disabilities, Mathematics Instruction, Intervention, Teaching Methods

Lim, Kien H. – Mathematics Teacher, 2016

Magic captivates humans because of their innate capacity to be intrigued and a desire to resolve their curiosity. In a mathematics classroom, algorithms akin to magic tricks can be an effective tool to engage students in thinking and problem solving. Tricks that rely on the power of mathematics are especially suitable for students to experience an…

Descriptors: Teaching Methods, Mathematics Instruction, Problem Solving, Mathematical Concepts

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

Reiser, Elana – Mathematics Teacher, 2016

In this brief article Elana Reiser describes her favorite lesson that combines popular culture with mathematics in a way that motivates student thinking and participation. Exploring open-ended problems, students may feel uneasy at first, but working in small groups often leads them to experiment with a variety of solutions. Reiser explains that…

Descriptors: Mathematics Instruction, Geometric Concepts, Geometry, Television

Weiss, Michael – Mathematics Teacher, 2016

The high school curriculum sometimes seems like a disconnected collection of topics and techniques. Theorems like the factor theorem and the remainder theorem can play an important role as a conceptual "glue" that holds the curriculum together. These two theorems establish the connection between the factors of a polynomial, the solutions…

Descriptors: Algebra, Mathematics, Mathematical Formulas, Mathematics Teachers

Mathematics Teacher, 2016

The editors of Mathematics Teacher appreciate the interest of readers and value the views of those who write in with comments. The editors ask that name and affiliation including email address be provided at the end of their letters. This September 2016 Reader Reflections, provides reader comments on the following articles: (1) "Innocent…

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

Weber, Victoria; Fortune, Nicholas; Williams, Derek; Whitehead, Ashley – Mathematics Teacher, 2016

Software programs such as Tinkerplots ® or Geometer's Sketchpad ® can help students solve problems in mathematics classes, but may not be available to them after high school. In contrast, many students who become familiar with Internet tools and programs in office packages (word processing, spreadsheets, etc.) may use them daily to enhance their…

Descriptors: Mathematics Instruction, Mathematical Models, Computer Software, Spreadsheets

Meagher, Michael S.; Edwards, Michael Todd; Özgün-Koca, S. Asli – Mathematics Teacher, 2016

The article opens with a Geoboard Triangle Quest in this form: "How many noncongruent triangles can be constructed on a 4 × 4 geoboard? How do you know? Justify your answer with significant supporting work." The use of advanced digital technologies as tools for problem solving receives much attention in the methods classes if the…

Descriptors: Mathematics Instruction, Geometry, Technology Uses in Education, Educational Technology

Galluzzo, Benjamin J.; McGivney-Burelle, Jean; Wagstrom, Rikki B. – Mathematics Teacher, 2016

Human beings are having a profound impact on the environment. The opportunity to investigate this timely issue during one or two class periods gives algebra and precalculus students insight into a sustainability topic of great international concern--carbon footprints. Students use mathematical thinking in matters that are pertinent to their…

Descriptors: Mathematics Instruction, Algebra, Mathematical Logic, Relevance (Education)

Ferguson, Sarah – Mathematics Teacher, 2016

Throughout the school year, AP Calculus teachers strive to teach course content comprehensively and swiftly in an effort to finish all required material before the AP Calculus exam. As early May approaches and the AP Calculus test looms, students and teachers nervously complete lessons, assignments, and assessments to ensure student preparation.…

Descriptors: Advanced Placement Programs, Calculus, Mathematics Instruction, Learning Activities

Szydlik, Jennifer Earles; Parrott, Amy; Belnap, Jason Knight – Mathematics Teacher, 2016

Classroom culture is negotiated and established through both conversations and practices. Traditionally, teachers and researchers have focused primarily on the individual and social construction of mathematical content--that is, students' conceptual understanding and procedural skills--through mathematical actions and practices. This article…

Descriptors: Mathematics Instruction, Geometry, Discussion (Teaching Technique), Definitions

Ghosh, Jonaki B. – Mathematics Teacher, 2016

Generalizing is a foundational mathematical practice for the algebra classroom. It entails an act of abstraction and forms the core of algebraic thinking. Kinach (2014) describes two kinds of generalization--by analogy and by extension. This article illustrates how exploration of fractals provides ample opportunity for generalizations of both…

Descriptors: Mathematics Instruction, Grade 11, Secondary School Mathematics, Algebra

Dong, Yu Ren – Mathematics Teacher, 2016

The American educational landscape is changing rapidly, and so are the students in American mathematics classrooms. In the New York City public schools, one of every four students is an English language learner (ELL) (New York City Department of Education 2014). Mathematics teachers find themselves teaching either in a classroom that contains all…

Descriptors: Mathematics Instruction, Educational Environment, Student Diversity, English Language Learners