In Intelligent Tutoring Systems (ITS), methods to choose the next exercise for a student are inspired from generic recommender systems, used, for instance, in online shopping or multimedia recommendation. As such, collaborative filtering, especially matrix factorization, is often included as a part of recommendation algorithms in ITS. One notable…

The search for rigor in learning analytics applications has placed survey data in the suspect's corner, favoring more objective trace data. A potential lack of objectivity in survey data is the existence of response styles, the tendency of respondents to answer survey items in a particular biased manner, such as yeah saying or always disagreeing.…

This dissertation presents results from two case studies conducted in undergraduate mathematics departments at Minority Serving Institutions with majority Hispanic identifying student bodies. These mathematics departments were identified as being especially committed to equitable and inclusive instruction and supporting positive experiences among…

Many students may find math word problems uninteresting; therefore, lacking the motivation to solve them. The content in most math word problems in use today is outdated, deliberately generic, and does not fully engage students. The development of technologies that personalize math word problems seeks to improve the engagement of students.…

The current placement of Hispanic level 1 and 2 English Learner students into mathematics courses has been constructed and propagated by the assumptions that these students enter school in the United States at a lower level in mathematics. This assumption, which has neither been tested nor confirmed, perpetuates the systemic injustices in public…

It is widely accepted that students' thinking drives teachers' teaching. There are many ways to probe students' thinking with speech or with gestures; however, the literature remains relatively distinct, not focused on both. Prior studies focus on probing students' thinking with speech (talk moves). Although Alibali and colleagues (e.g., Alibali…

Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…

Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…

The Common Core State Standards for Mathematics emphasize the importance of developing students' conceptual understanding, mathematical reasoning, and problem solving skills. This is a shift from the traditional approach to teaching mathematics and many teachers rely on curriculum resources to help them meet these new standards and expectations.…

Some students with emotional and behavioral disabilities (EBD), specifically conduct disorder (CD) and oppositional defiant disorder (ODD), characteristically display oppositional behaviors that adversely affect their academic performance and cause gaps in their learning. The problem studied was negative behaviors exhibited by students with EBD,…

Although there have been calls for secondary mathematics education in the U.S. to incorporate problem-solving and creativity, the lion's share of instruction is designed to train students to accurately use procedures or understand concepts made by mathematicians in the past (National Research Council, 1999; Watson, 2008). This disconnect…

With the implementation of the "Common Core State Standards for Mathematics," school administrators expect teachers to teach students on grade-level while preparing them to be college and career-ready. The purpose of this qualitative case study was to understand how secondary mathematics teachers prepare mathematics students from…

Providing special education services for students with identified special education needs in the least restrictive environment continues to be a challenge for schools. The co-teaching model of special education service delivery provides an opportunity for students to receive individualized instruction, remediation, and practice in the general…

Storytelling is a ubiquitous practice dating back to 4000 BC (Abrahamson, 1998). Storytelling, as an effective communication tool and, has helped propagate societies' traditions and culture. Storytelling has also gained popularity in education globally due to its pedagogical advantages, mainly helping students remember information (Morris, 2015).…

The purpose of this study is to understand how and in what capacity elementary students construct positive math identities in order to inform math curriculum and math pedagogy to help students form positive math identities in the classroom environment. Specifically, this study focused on a set of elementary math students and teachers at a suburban…