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…

Curriculum standards provide classroom teachers with frameworks to guide instruction during the academic year and throughout a student's schooling. Unfortunately, standards are misconstrued as all-encompassing--as a compendium of all mathematics content that can and should be taught to students. Such a view is unfortunate. Mathematics teachers…

Technology use in mathematics often involves either exploratory or expressive modeling. When using exploratory models, students use technology to investigate a premade expert model of some phenomena. When creating expressive models, students have greater flexibility for constructing their own model for investigation using objects and mechanisms…

Discusses the importance of mental mathematics beyond the middle school. Presents sample objectives for different courses or strands, and teaching ideas to make mental mathematics an important, ongoing goal in secondary mathematics instruction and beyond. (KHR)

Describes constructivism as an educational theory promoted by the National Council of Teachers of Education (NCTM), the ideals of NCTM's standards, the validity of NCTM's approach, and the research behind NCTM's recommendations. Includes examples of what teachers can do to promote student construction of knowledge in the classroom and resources…

Shares guidelines for identifying and structuring worthwhile mathematical tasks and gives suggestions for successful classroom approaches in light of the NCTM Standards documents. (MKR)

Focuses on vocabulary as one aspect of language that is necessary for overall mathematics achievement. Identifies potential vocabulary problems and provides instructional strategies to promote vocabulary development. (KHR)

Discusses representations in the context of solving a system of linear equations. Views representations (concrete, tables, graphs, algebraic, matrices) from perspectives of understanding, technology, generalization, exact versus approximate solution, and learning style. (KHR)

Presents Grabiner's Use-Discover-Explore-Define (UDED) paradigm as a tool for a teachers' own acquisition of authentic historical accounts of the evolution of mathematical topics and as a pedagogical stratagem for their students as well. (KHR)

Offers some tips to help make learning logs an integral part of mathematics instruction. Includes examples of learning logs. (KHR)

Discusses Einstein's special relativity theory and some of the developmental mathematics involved. Presents motivational classroom materials used in discussing relative-motion problems, evaluating a radical expression, graphing with asymptotes, interpreting a graph, studying variation, and solving literal and radical equations. (KHR)

Describes a credit-card-debt activity that allows students to increase their awareness of underlying mathematical concepts relevant to the world of commerce and personal finance through learning geometric and arithmetic sequences. (KHR)

Presents a project used to help students make connections between linear and exponential models and between arithmetic and geometric sequences. (KHR)

Uses a discovery lesson for determining the area of an equilateral triangle given a side length as an illustration of how to introduce features of the TI-92 graphing calculator geometry package within a mathematical context. (KHR)