Toys in the classroom was the result of a National Science Foundation grant that brought two engineering graduate students to a middle school math class. The graduate students and teachers collaborated in an effort to enhance students' mathematical learning. An engineering context was theorized as a way to further develop students' understanding…

Students need to learn how to use technology in a meaningful way to become literate. Teachers should take advantage of technology and what it has to offer. Technology can motivate students and can help them visualize mathematics problems. It can enable them to work on more complex tasks that often involve real-life applications of mathematics. It…

This article examines mathematics opportunities at two urban high schools in the context of high-stakes standardized testing. Case studies were conducted at two urban high schools in low-income neighborhoods. Data includes opportunities in mathematics offered to students at the school level, in terms of mathematics course sequencing, and at the…

This paper examines how teachers engaged in equity-oriented reforms learn through interactions in teacher groups. Analysis of teachers' framing of a freshman mathematics student failure problem showed that over time teachers' frames shifted from invariable framings based on student characteristics and systemic issues to actionable framings based…

For those who are committed to Lesson Study as a means of developing teacher capacity and bringing about innovation of mathematics teaching and learning, there is value in looking at related strategies, now widely in use in several countries, which aim to achieve similar goals. In this paper, three related strategies will be examined alongside…

Progress in secondary education today is measured primarily through high stakes testing administered on a state-by-state basis. While states may require a common assessment instrument, how the objectives are to be taught, however, is generally up to the schools. This results in debates among educators as to the best curricula for all students.…

This study investigated the effects of modes of personalisation of instruction crossed with two levels each of verbal ability and cognitive style as moderator variables on the mathematical word problems achievement of 450 junior secondary Nigerian students. Personalisation was accomplished by incorporating selected information with students'…

This article presents a designed learning environment intended to engage students in learning about the relationships among multiple representations as they work together on a shared task. Over the course of several extended problem-solving sessions, groups developed several successive alignments of participants and representations as they learned…

Latinas/os, the largest and fastest growing minority ethnic group in the United States (impels research that focuses on the education of Latinas/os and the need to reduce the achievement gap that persists between Latinas/os and other groups. Such research has gained in popularity; however, it is still very limited. I use my teaching experience…

The study documents the extent to which high school teachers reflect on their need to revise and extend their mathematical and practicing knowledge. In this context, teachers worked on a set of tasks as a part of an inquiring community that promoted the use of different computational tools in problem solving approaches. Results indicated that the…

The key questions are: is it true that persons with Down's syndrome can study mathematics only at a very elementary level? Might it be possible that their difficulties are mainly restricted to some fields, such as numeracy and mental computation, but do not encompass the entire domain of mathematics? Is the use of a calculator recommended? Is…

Current technologies incorporating sophisticated mathematical analysis software (calculation, graphing, dynamic geometry, tables, and more) provide easy access to multiple representations of mathematical problems. Realising the affordances of such technology for students' learning requires carefully designed lessons. This paper reports on design…

"Destination Math" is a series of computer-based curricula designed to be used for at least 90 minutes a week. Featuring sequenced, prescriptive, step-by-step instruction, "Destination Math" is designed for the development of fluency in critical skills, math reasoning, conceptual understanding, and problem-solving skills.…

This article presents a mathematical solution to a motorway problem. The motorway problem is an excellent application in optimisation. As it integrates the concepts of trigonometric functions and differentiation, the motorway problem can be used quite effectively as the basis for an assessment tool in senior secondary mathematics subjects.…

This article discusses "Focus in High School Mathematics: Reasoning and Sense Making", a new (2009) publication of the National Council of Teachers of Mathematics (NCTM). Its message is simple: Reasoning and sense making provide a focus for high school mathematics that will give students a foundation for their future success. The publication…