Although visual representations are generally beneficial for learners, past research also suggests that often only a subset of learners benefits from visual representations. In this work, we designed and evaluated anticipatory diagrammatic self- explanation, a novel form of instructional scaffolding in which visual representations are used to…

Mathematics education has been a distinct source of inequity in students' educational journeys. The way mathematics is taught and tested can determine students' chances of completing high school, entering the college of their choice, and earning a degree in a field that interests them. Black, Latinx, and other marginalized students are most likely…

This qualitative descriptive research study explored perspectives of ten middle school math inclusion teachers (general and special education) in a United States school district geographically located in Europe. Data from interviews and observations were analyzed using a thematic approach to content analysis to gain insight into instructional…

Between 2013 and 2014, 25.2% of 10th grade algebra students who worked with 870,000 adult volunteers in after-school programs in the United States met their goals of improved math proficiency scores. A gap exists involving volunteer training strategies for after-school programs that are effective in improving math proficiency of 10th grade math…

While numerous authors have studied the comparison of achievement growth scores between charter, private, home, virtual, and in-person schools, there has been very little research regarding a comparison of growth scores during a time of a global pandemic. This study revealed that school choice for parents who desire for their children to attend a…

Morrisania College Preparatory Academy (MCPA) is a small middle school comprising Grades 6-8 located in the Bronx, New York, which offers full integrated co-teaching (ICT). MCPA struggled with mathematics achievement for the first 3 years of its operation. To improve student outcomes in mathematics, the vice principal assisted with all classroom…

Teachers are experiencing a change in practice, from teacher-centered to student-centered, which affects their work with English learners (ELs) in third through fifth grade mathematics classrooms. The implementation of student-centered discourse practices is essential to orchestrating productive mathematical discussions. However, the common…

This article focuses on how two mathematics teachers (Amy and Beth -- pseudonyms) cope with the changes of meanings in multiplication due to the changes of contexts. It highlights the qualitative similarities and differences between these two teachers in the sense-making process of multiplication. A potentially useful framework of supportive and…

Recently, the idea of the Fourth Industrial Revolution (FIR) is increasingly shaping discussions about the world of work and society. In order to prepare the next generations for such new developments, it is necessary to adjust the way they learn. One possibility for a change in education is Flipped Classroom Approaches (FCA), which are…

The strategy choice model (SCM) is a highly influential theory of human problem-solving. One strength of this theory is the allowance for both item and person variance to contribute to problem-solving outcomes, but this central tenet of the model has not been empirically tested. Explanatory item response theory (EIRT) provides an ideal approach to…

This article illustrates ways that dynamic software using some sophisticated techniques in Excel can be used to demonstrate fundamental ideas related to sampling distributions and their properties to increase student understanding of the concepts and methods in elementary statistics courses. The article considers such sampling distributions as the…

Self regulated learning is a learning system applied in universities. Therefore, self regulated learning is needed by students in taking courses in college. Based on the results of previous studies found that students self regulated learning is still low. This study aims to improve students self regulated learning by using computational…

Although reasoning and proof in learning and teaching mathematics is crucial and have gained more presence in school mathematics, both students and their teachers face great difficulties when engaging in proving activities. One potential cause for such difficulties might be due to teachers' conception of proof. However, to date, there are few, if…

This article is the next in our series of papers that was presented at the 27th Biennial AAMT Conference in Brisbane earlier this year. In this article, Michael Minas uses a case study approach to explore how enabling prompts can be used most effectively to support teaching with challenging tasks.

We examined the effect of distributed practice on the mathematical performance of third and seventh graders (N = 213) in school. Students first received an introduction to a mathematical topic, derived from their curriculum. Thereafter, they practiced in one of two conditions. In the massed condition, they worked on three practice sets in 1 day.…