The work described in this report is the second phase of a project to provide easy-to-use tools for authoring and rendering secondary-school algebra-level math expressions in synthesized speech that is useful for students with blindness or low vision. This report describes the development and results of the second feedback study performed for our…

This report describes the pilot conducted in the final phase of a project, Expanding Audio Access to Mathematics Expressions by Students With Visual Impairments via MathML, to provide easy-to-use tools for authoring and rendering secondary-school algebra-level math expressions in synthesized speech that is useful for students with blindness or low…

Response to Intervention (RTI) is a research-based process in which students are provided timely intensive interventions. No longer adopting "wait to fail" models, this paradigm shift has challenged educators to employ systematic mathematics interventions which has been reported as challenging to implement within high schools. Therefore,…

Response to Intervention (RTI) is a research-based process in which students are provided timely intensive interventions. No longer adopting "wait to fail" models, this paradigm shift has challenged educators to employ systematic mathematics interventions which has been reported as challenging to implement within high schools. Therefore,…

Learning algebra is difficult for many students in part because of an emphasis on the memorization of abstract rules. Algebraic reasoners across expertise levels often rely on perceptual-motor strategies to make these rules meaningful and memorable. However, in many cases, rules are provided as patterns to be memorized verbally, with little overt…

The Program for International Assessment tested students in mathematics from 41 countries and found that students in the United States ranked in the lowest percentile. This struggle with math among youth in the United States prompted this quasi-experimental quantitative study about using interactive technology to engage and motivate 9th grade…

Partial fraction decomposition is a useful technique often taught at senior secondary or undergraduate levels to handle integrations, inverse Laplace transforms or linear ordinary differential equations, etc. In recent years, an improved Heaviside's approach to partial fraction decomposition was introduced and developed by the author. An important…

In this article we report on the effects of a digital intervention on the development of algebraic expertise of 17-18 year old students in the Netherlands. The question to be answered was whether the intervention would be effective and what factors influenced the outcome. With notions of formative assessment and symbol sense as guiding theoretical…

Introduction: In the present-day didactic process of transition from natural numbers to integers, a certain kind of measure is involved which is neither easy nor appropriate to integrate into the familiar numerical systems. We refer to measures and comparisons for which we need a third numerical system--what we will call "relative…

Student assessment is an integral component of classroom instruction. Assessment is intended to help teachers identify what students are able to do and what content and skills students must develop further. State tests play an important role in guiding instruction. However, for some students, the tests may lead to inaccurate conclusions about…

This paper reports on part of a wider study on the teaching and learning of the conventions of formal algebraic notation. Through the analysis of paper tasks given to teachers I argue that not only does the inherent mathematical structure have an effect on the way in which an equation is manipulated but also the visual impact of notation itself.…

"Developmental" math courses give university students a chance to reestablish basic skills and knowledge needed in college algebra courses. Computer assisted learning can be an integral part of these developmental math courses. Colleges and universities implement computer-based courses in various ways (e.g., self-paced or supervised…