The case study presented in this paper describes the pedagogical aspects and collected experience in using e-learning tool named IPA-PBL. Improving assessments in the preparation for AMET's (Air Medical Evacuation and Transport) complex task of transfer of injured or sick patients from the place of accident to the hospital or between hospitals…

The discrete Fourier series is a valuable tool developed and used by mathematicians and engineers alike. One of the most prominent applications is signal processing. Usually, it is important that the signals be transmitted fast, for example, when transmitting images over large distances such as between the moon and the earth or when generating…

This task asks readers to figure out why when you stir a cup of hot liquid and tap on the side of the cup with a spoon, the pitch of sound starts low and ends up high. The solution to last month's tasks relating to the circumference of the Earth and how many stars are in the (visible) sky is also presented.

A growing number of high school students with disabilities are planning to continue their education in postsecondary schools, including vocational and career schools, 2- and 4-year colleges, and universities (U.S. Department of Education, Office for Civil Rights, 2011). The transition from secondary settings to postsecondary settings presents…

We investigate teachers' practices in a whole-class context when they scaffold students' learning in situations where students use technologies that facilitate group learning to solve mathematical problems in small groups. We describe teachers' practices in order to evaluate their contribution to "Whole-Class Scaffolding" in the context…

Many introductions to algebra in high school begin with teaching students to generalise linear numerical patterns. This article argues that this approach needs to be changed so that students encounter variables in the context of modelling visual patterns so that the variables have a meaning. The article presents sample classroom activities,…

Earlier institution-sponsored research revealed that about 20% of students in community college basic math and pre-algebra programs lacked a sense of part-whole relationships with whole numbers. Using the same tool with a group of 86 workforce students, about 75% placed five whole numbers on an empty number line in a way that indicated lack of…

A picture is worth more than a thousand words--in mathematics too. Many students fail in learning mathematics because, in some cases, teachers do not offer the necessary visualization. Nowadays technology overcomes this problem: computer aided instruction is one of the most efficients methods in teaching mathematics. In this article we try to…

There is a long-standing tradition in mathematics education to look to history to inform instruction. An historical analysis of the genesis of a mathematical idea offers insight into: (i) the contexts that give rise to a need for a mathematical construct; (ii) the ways in which available tools might shape the development of that mathematical idea;…

Children with hearing loss often experience communication and language delays that result in difficulties acquiring novel vocabulary and literacy skills. This research examined the effectiveness of using repeated storybook reading paired with explicit teacher instruction to teach novel vocabulary to young children with hearing loss who were…

An episode in which students encounter difficulty while working on a challenging task can be viewed as an opportunity for them to grapple with important mathematical ideas. Teachers can use these instances to acknowledge struggle as a natural part of learning while providing appropriate guidance and support to maintain the mathematical goals and…

This study explored the connections between teacher leadership and a professional development model focused on problem-solving, Math Teachers' Circles (MTC). Surveys were completed by 213 MTC participants resulting in three years of data across multiple sites. A mathematics education leadership framework provided a data analysis tool. Findings…

Developing mathematical inquiry practices requires that teachers are explicit about classroom norms that support these practices. In this study, we asked: "How can a teacher scaffold the development of norms and practices in mathematical inquiry over time?" Analysis of classroom video over a year showed that the teacher constantly…

Based on my 5 years' experience that spanned the period 2002--2007 as an academic developer responsible for students and staff development, I realised that creativity was generally marginalised in undergraduate studies. In 2008, I enrolled for my PhD with the purpose of finding out whether advanced undergraduate classrooms supported students'…

This study examined the effect of schema-based instruction (SBI) on the proportional problem-solving performance of students with mathematics difficulties only (MD) and students with mathematics and reading difficulties (MDRD). Specifically, we examined the responsiveness of 260 seventh grade students identified as MD or MDRD to a 6-week treatment…