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Gillette, Jane – Mathematics Teacher, 2018

Students often have the misconception that mathematics involves reading the problem, staring at the page, and then writing down an answer. With more than twenty years of experience working with students in eighth-grade math through college calculus, the author has been increasingly interested in how she can foster problem-solving skills in her…

Descriptors: Instructional Materials, Mathematics Education, Mathematics Skills, Problem Solving

Dibbs, Rebecca; Beach, Janessa; Rios, Daniel – Mathematics Teacher, 2018

Rich mathematical modeling activities are crucial to giving students agency and making mathematics meaningful. Proportional reasoning and transitional algebraic reasoning are the primary topics in the prealgebra curriculum, so a need exists for meaningful modeling activities using proportional reasoning in addition to geometric modeling. In…

Descriptors: High School Freshmen, Grade 9, Mathematics Education, Mathematics Activities

Lee, Younhee; Lim, Woong – Mathematics Teacher, 2017

Understanding how one representation connects to another and how the essential ideas in that relationship are generalized can result in a mathematical theorem or a formula. In this article, the authors demonstrate this process by connecting a vector cross product in algebraic form to a geometric representation and applying a key mathematical idea…

Descriptors: Mathematics Education, Geometric Concepts, Algebra, Mathematical Formulas

McGraw, Rebecca – Mathematics Teacher, 2017

The task shared in this article provides geometry students with opportunities to recall and use basic geometry vocabulary, extend their knowledge of area relationships, and create area formulas. It is characterized by reasoning and sense making (NCTM 2009) and the "Construct viable arguments and critique the reasoning of others"…

Descriptors: Mathematics Education, Geometric Concepts, Mathematical Formulas, Mathematics Skills

Dickman, Benjamin – Mathematics Teacher, 2016

Guessing, for Pólya, is an important way of getting an initial handle on a mathematical problem. An argument can be made to place guessing in any one of the first three steps of the four-step approach to problem solving as described in "How to Solve It" (Pólya 1945). It could be a part of understanding the problem, devising a plan, or…

Descriptors: Problem Solving, Mathematics Instruction, Calculus, Fractions

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

Huhn, Craig – Mathematics Teacher, 2016

When the author was first charged with getting a group of students to understand the correlation coefficient, he did not anticipate the topic would challenge his own understanding, let alone cause him to eventually question the very nature of mathematics itself. On the surface, the idea seemed straightforward, one that millions of students across…

Descriptors: Correlation, Mathematics, Mathematics Education, Mathematics Instruction

Danielson, Christopher; Meyer, Dan – Mathematics Teacher, 2016

For many the phrase "teaching math online" evokes a vision of teaching and learning that is not based in physical classrooms. Perhaps teachers and students are even interacting asynchronously. In math classrooms in the United States, the increasing availability of devices (e.g. laptops, Chromebooks™, smartphones, and tablets) and…

Descriptors: Internet, Handheld Devices, Telecommunications, Mathematics

Gates, Miriam; Cordner, Tracy; Kerins, Bowen; Cuoco, Al; Badertscher, Eden; Burrill, Gail – Mathematics Teacher, 2016

The Common Core State Standards for Mathematical Practice (CCSSI 2010) elevate the ways of thinking used to create mathematical results to the same level of importance as the results themselves. These mathematical habits of mind (MHoM), or "specialized ways of approaching mathematical problems and thinking about mathematical concepts that…

Descriptors: Mathematics Education, Mathematics Instruction, Mathematical Concepts, Mathematics

Goldenberg, E. Paul; Carter, Cynthia J.; Mark, June; Nikula, Johannah; Spencer, Deborah B. – Mathematics Teacher, 2017

The Common Core State Standards (CCSSI 2010) for Mathematical Practice have relevance even for those not in CCSS states because they describe the habits of mind that mathematicians--professionals as well as proficient school-age learners--use when doing mathematics. They provide a language to discuss aspects of mathematical practice that are of…

Descriptors: Mathematics Education, Mathematics Instruction, Common Core State Standards, Mathematics Skills

Webel, Corey; Otten, Samuel – Mathematics Teacher, 2015

In October 2014, an interesting new app became freely available in the Apple Store®. It is called PhotoMath®: (1) Hold a phone or tablet up to a mathematics problem in a textbook; (2) The app shows the answer to the problem; and (3) Select Steps to see the step-by-step process for getting from the problem to the solution. The app works for simple…

Descriptors: Mathematics Education, Computer Software, Computer Oriented Programs, Handheld Devices

Huang, Rongjin; Prince, Kyle M.; Schmidt, Teresa – Mathematics Teacher, 2014

The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…

Descriptors: Algebra, Mathematics Education, Mathematics Instruction, Mathematical Applications

Jensen, Jennifer L. – Mathematics Teacher, 2013

If students are going to develop reasoning and thinking skills, use their mathematical knowledge, and recognize the relevance of mathematics in their lives, they need to experience mathematics in meaningful ways. Only then will their mathematical skills be transferrable to all other parts of their lives. To promote such flexible mathematical…

Descriptors: Consultants, Mathematics Education, Student Projects, Algebra

Harless, Patrick – Mathematics Teacher, 2011

In this article, the author presents one instructional strategy--scribing--tailored to the Tablet PC. He illustrates the role of the scribe during discussion through two classroom examples: (1) generalizing the polygon sum theorem; and (2) proving the third angle theorem. Then he analyzes scribing as an instructional strategy as well as students'…

Descriptors: Educational Strategies, Geometry, Teaching Methods, Instructional Design

Rubel, Laurie H.; Chu, Haiwen; Shookhoff, Lauren – Mathematics Teacher, 2011

The National Council of Teachers of Mathematics (NCTM), through its Connections Standard, highlights the importance of "the opportunity for students to experience mathematics in a context." Seeing how mathematics can be used to describe real-world phenomena can motivate students to learn more mathematics. Connecting mathematics to the real world…

Descriptors: Investigations, Maps, Mathematics Teachers, Professional Development