Fractions are an imperative skill for students to master to achieve success in future mathematics concepts and classes. Yet many students, especially those experiencing math difficulties and/or characteristics of emotional and behavioral disorders, continue to exit elementary school without a concrete foundation of fractions skills required to…

In this paper a part of the data from a larger study, the Enactment Project, is explored. The exploration is guided by two research questions. The first is specific to the instructional core of teacher practice while the second is related to student perceptions of how they learn mathematics. The project adopted the Complementary Accounts…

This paper discusses the "Just Keep Solving" apps that are designed based on deliberate practice model for developing mathematical skills. Features of deliberate practice include well-defined goals involving areas of weakness as determined by a knowledgeable other such as a teacher. The integration of game design features provides a…

Developmental researchers often have research questions about cross-lag effects--the effect of one variable predicting a second variable at a subsequent time point. The cross-lag panel model (CLPM) is often fit to longitudinal panel data to examine cross-lag effects; however, its utility has recently been called into question because of its…

Representation is an important element for teaching and learning mathematics since utilization of multiple modes of representation would enhance teaching and learning mathematics. Representation is a sign or combination of signs, characters, diagram, objects, pictures, or graphs, which can be utilized in teaching and learning mathematics.…

Because creativity is an essential 21st century skill that must be developed in gifted and talented student populations, it is important for gifted and talented programs to nurture mathematical creativity. To shed light on this topic, this article explores three questions: What is mathematical creativity? How can we develop students' mathematical…

Decades of research on early care and education have shown that four-year-old children who enroll in prekindergarten (pre-K) programs start kindergarten scoring higher on assessments of academic skills than those who do not. A handful of long-term follow-up studies of pre-K have also found that these programs can have lasting beneficial impacts on…

We identify a recent trend in school mathematics as well as in some of the research literature in mathematics education: an emphasis on the practical uses of mathematics and an increased emphasis on verbalizations as opposed to numerical and computational skills. With tools provided by John Dewey, an early advocate of contextual and practical…

The Massachusetts Early College Initiative eases the pathway to postsecondary education for thousands of high school students annually. Early college programs provide strategically-sequenced, real college classes with strong career orientations during students' regular high school day. When fully realized, they also provide enhanced academic and…

For two decades, the state role in educating children before kindergarten has been growing, and it is accelerating. Enrollment in state-funded preschool today far exceeds that in federal Head Start, and states are the dominant provider at age 4, serving about half of all four-year-olds who attend any preschool program. New universal preschool…

Felix Klein's Erlangen program classifies geometries based on the kinds of geometric transformations that preserve key properties of their figures, rather than focusing on the geometric figures themselves. This shift in perspective, from figurative to operative, fits Piaget's characterization of mathematical development. This paper considers how…

This brief presents a promising approach to supporting young children's early math skills development. The approach synthesizes the influence of parents, the home environment, and children's health care providers, and is being implemented by Reach Out and Read. Reach Out and Read is a program in which health care providers give young children new…

Community colleges continue to increase their efforts to better serve students who enter their institutions with limited basic math, reading, or writing skills. In 2015, MDRC partnered with the Texas Coordinating Higher Education Board on a study to examine how colleges implemented state guidelines for students scoring below ninth-grade…

The Student Outcomes surveys include a series of questions that focus on the specific skills acquired by former students. Many of the skills are employability skills. The former students who responded to the Student Outcomes surveys were very likely to say their institutions helped them develop skills and that those skills were useful for…

The Commission on Education and Employment Opportunities for Young People (Youth Commission) aims to find ways to improve education and employment opportunities for England's 16-24-year olds. Previous reports have analysed how challenges for this population vary across England, and how demographic and economic changes will alter the context for…