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…

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…

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…

Described is an alternative first year algebra program developed to bridge the gap between the NCTM's Curriculum and Evaluation Standards and institutional demands of schools. Increased attention is given to graphing as a context for algebra, calculator use, solving "memorable problems," and incorporating geometry concepts, while…

Presents and discusses assumptions for a general-mathematics problem-solving curriculum that incorporate the belief that all students can do algebra, geometry, and trigonometry, that mathematics must be presented in problem situations, and that students should work cooperatively. Worksheets provide exemplary problem-solving activities. (MDH)

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)

The Center for Improved Engineering and Science Education (CIESE) at Stevens Institute of Technology helps mathematics teachers to integrate and implement engaging and innovative collaborative lessons into their curriculum for illustrating complex mathematics concepts. CIESE has developed online projects that incorporate complex mathematics…

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)

The approach taken by representatives of the Minnesota Educational Computing Consortium (MECC) to define computer literacy objectives is defended. The MECC approach is termed a comprehensive view of literacy that incorporates programing, awareness, and other aspects. It is felt that hands-on computer experience alone does not guarantee literacy.…

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)

Presents four curricular alternatives and teaching strategies to improve the general-mathematics curriculum. Teaching strategies include reading mathematics, classroom discussion, an interdisciplinary approach, field trips, use of manipulatives, varied assessment methods, cooperative learning, use of technology, and team teaching. (MDH)

The NCTM Standards present a picture of classroom instruction different from present practice in secondary schools. Presented are three instructional practices: (1) presenting open-ended problems, (2) communication of ideas, and (3) probing for diversity and recommendations for restructuring mathematics instruction based on the California…