Looking for, recognizing, and using underlying mathematical structure is an important aspect of mathematical reasoning. We explore the use of mathematical structure in children's integer strategies by developing and exemplifying the construct of logical necessity. Students in our study used logical necessity to approach and use numbers in a…

In an attempt to study the emerging questions about design of mathematical tasks that could support the solving of challenging problems, we designed two settings of interactive diagrams that share an example represented as an animation of multi-process motion but differ in their organizational functions. The interactive settings, each comprising…

Fourteen students with visual impairments in Grades 5-12 participated in the field-testing of AnimalWatch-VI-Beta. This computer program delivered 12 prealgebra math problems and hints through a self-voicing audio feature. The students provided feedback about how the computer program can be improved and expanded to make it accessible to all users.…

This study investigated how a teacher in a multilingual classroom attempted to support learners who are struggling to translate written/verbal mathematics into a symbolic form. Thirty-six Grade ten learners in one multilingual classroom in South Africa were given a written test involving one algebraic question and then a discussion on the solution…

The focus of this research is to understand how to engage at risk students at a continuation high school in mastering mathematics. These students typically fail math classes, and, as a result, are unmotivated to attempt to learn principles of mathematics. The purpose of the study is to develop strategies that build their understanding of Algebra…

Teacher quality is instrumental in improving student performance. Unfortunately, discrepancies between teacher preparation programs and national and state K-12 student standards have contributed to the difficult task of producing quality teachers. The contemporary mathematics education paradigm used at most colleges and universities relies on…

Visit with any university math faculty member throughout the United States, and you will soon hear how the freshman students are not prepared to be successful in introductory college algebra classes. The opinions are varied regarding why the students are unsuccessful; however, the concern and frustration is universal. According to American College…

The Algebra Project DR K-12, funded by the National Science Foundation as a Research and Development Project, addressed the challenge of offering significant STEM content for students to ensure public literacy and workforce readiness. The project's primary purpose was to test the feasibility and effectiveness of a model for establishing four-year…

As the importance of mathematics continues to grow in our society, so does the question of how to effectively teach mathematics. Although the claim that teaching does make a difference seems obvious, the question of what makes mathematics teachers effective is not easily answered. Evidence from research shows that students' mathematics learning is…

In a time of evolving Algebraic standards and expectations for Minnesota teachers and students, the establishment of quality professional development and technical assistance can help educators move more confidently toward greater mathematics understanding and, subsequently, successful teaching and learning. To this end, the Minnesota Department…

This study investigates middle school mathematics students' views and interpretations of graphical representations as they use graphs to answer algebraic questions--specifically, questions that require them to extrapolate information from graphs. From data gathered in videotaped interviews, students' verbal responses were analyzed as well as any…

This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…