This study reports on the algebraic generalization strategies used by elementary and middle/high school pre-service mathematics teachers in Kuwait. They were presented with 9 tasks that involved linear, exponential, and quadratic situations. The results showed that these pre-service teachers had difficulty in generalizing algebraic rules in all 3…

The development of the constraint-referenced analytics tool for monitoring algebra learning activities presented here came from the desire to firstly, take a more quantitative look at student responses in collaborative algebra activities, and secondly, to situate those activities in a more traditional introductory algebra setting focusing on…

This research examines middle school mathematics teachers' views regarding implementation of mathematical tasks and their enactments. We compare their views on tasks and their implementation, and determine the causes of difference between the two using qualitative research methods. We interview sixteen middle school mathematics teachers based on…

Recently, there is an explosive growth of smartphone availability. In this work, we studied how mobile and Internet-based Student Response System improves the learning process. We used a free software application (Socrative©) to create a set of questions that can be deployed during the class. It was used in four different courses in three…

To raise math success rates in middle school, many schools and districts have implemented summer math programs designed to improve student preparation for algebra content in grade 8. However, little is known about the effectiveness of these programs. While students who participate typically experience learning gains, there is little rigorous…

Math course placement is a source of continued discrepancy in the United States. Over the past few decades policy initiatives have catalyzed revisions on how and when students are placed into their first Algebra course. Concerns over equity in access and the national goal of fostering a competent STEM workforce have motivated efforts to place more…

Data from the National Longitudinal Transition Study-2 were used to examine the effect of academic and career or technical education course taking in high school on deaf or hard of hearing (DHH) youth's postsecondary enrollment in 2-year, 4-year, and career or technical education (CTE) institutions. The analyses included a nationally…

The work described in this report is the first 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 initial development, software implementation, and evaluation of the…

As high school students make more and more important decisions, their need for financial literacy increases significantly. To succeed in life, they need both an understanding of financial issues and the math skills to make financially sound choices. With all the requirements and standards to be met in high schools today, how can teachers find room…

The study reported here uses a quasi-experimental design to compare the algebraic thinking of students after a 3-year, grades 3--5 early algebra intervention to students in more traditional (arithmetic-focused) classrooms. Data sources are students' responses to grades 3--5 written assessment items, designed by the project team to measure learning…

These proceedings are a written record of the research presented at the 44th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Nashville, Tennessee, and virtually. This year's conference theme is "Critical Dissonance and Resonant Harmony." The aim of this…

This paper reports on the initial stages of a small-scale project involving the use of "spreadsheet algebra programs" in the professional development of eight teachers from three township high schools. In terms of the education context, the paper draws on social practice theory. It then details what is meant by spreadsheet algebra. An…

In this article, Derek Hurrell, points out that while it's easy to fall into the impression that the proficiency strand "Fluency" is all about knowing basic number facts in all its many and splendid ways. He add it is easy to overlook, that within Fluency there are requirements that are based in Algebra; Measurement and Geometry; and…

The international comparison of students' mathematics knowledge and competencies is an effective method of evaluating students' mathematics performance and developing policies to improve their achievements in mathematics. Trends in International Mathematics and Science Study (TIMSS) are among the most well-recognized international comparisons that…

Adaptive collaborative learning support (ACLS) involves collaborative learning environments that adapt their characteristics, and sometimes provide intelligent hints and feedback, to improve individual students' collaborative interactions. ACLS often involves a system that can automatically assess student dialogue, model effective and…