The research on mathematical argumentation has mainly adopted a dialectic lens which focuses on understanding the abstract and logical development of reasoning in argumentation. However, this approach may have overlooked other key aspects of mathematical argumentation, including the unfolding of the meaning-making experience and process during…

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…

In the present chapter, we review the evidence for several principles that are especially promising for improving mathematics instruction. Using the classification scheme proposed by Koedinger et al. (2013), we begin with principles that focus on improving memory and fluency: scaffolding, distributed practice, and feedback. We then move to worked…

This paper compares principles of economics curriculum in 2015-16 academic catalogues among the Princeton Review's "The Best 380 Colleges 2016 Edition." The paper finds that 76 percent of schools on the list offer separate principles courses for microeconomics and macroeconomics, while 25 percent offer a single principles course covering…

The belief that studying mathematics improves reasoning skills, known as the Theory of Formal Discipline (TFD), has been held since the time of Plato. Research evidence supports this idea, at least in the context of students who had chosen to study post-compulsory mathematics. Here we examined the development of reasoning skills in 16- to…

This paper describes the development and intended uses of the Early Grades Mathematics Assessment (EGMA), which measures essential early mathematical knowledge and skills that are foundational to more sophisticated mathematical abilities, predictive of later achievement, and teachable. Administering the EGMA can provide policy makers,…

This article reviews the results of a meta-analysis of the experimental published literature that compares the academic, cognitive, and behavioral performance of adults with reading disabilities (RD) with average achieving adult readers. The meta-analysis shows that deficits independent of the classification measures emerged for adults with RD on…

The introduction of the "Early Years Learning Framework and the Australian Curriculum-Mathematics" in Australian preschools and primary schools has caused early childhood educators to reconsider what may be appropriate levels of mathematics knowledge to expect from children as they start school. This paper reports on initial data from an…

We present a comparative study of a literature review of 326 selected contributions (Buteau, Marshall, Jarvis & Lavicza, 2010) to an international (US, UK, Hungary) survey of mathematicians (Lavicza, 2008) regarding the use of Computer Algebra Systems (CAS) in post-secondary mathematics education. The comparison results are organized with respect…

Over five decades, researchers have reported that deaf children lag behind their hearing peers on different educational measures. This review aims to synthesize the information on the nature and extent of this delay. A systematic search of the literature comparing deaf and hearing children's performance in mathematics was carried out. Of the 23…

The study examined the effects of "Fraction Challenge," a supplemental small-group tutoring math program that focuses on improving student understanding of fractions. Study authors randomly assigned fourth grade "at-risk" students in 53 classrooms in 13 schools to either an intervention group that received "Fraction…

This report examines the implementation and effects of the academic summer program for middle school students offered by Building Educated Leaders for Life (BELL). BELL's middle school program serves rising sixth- through eighth-grade students who are performing one to two years below grade level. The goals of the program are to increase students'…

This study compared no-no prompting procedures to simultaneous prompting procedures for 3 children with autism. Using a parallel treatments design, researchers taught rote math skills, receptive labels, or answers to "wh-" questions with both prompting systems. Results indicated that no-no prompting was effective in teaching all skills. By…

Following a model for an extended-day kindergarten program that had been in operation in select schools for nearly 20 years, a southeastern Virginia school division expanded the Extended-Day Kindergarten (EDK) Program with an additional 40 classes in 39 schools during the 2006-2007 school year. The EDK Program supplemented the traditional half-day…

Maintaining America's productivity as a nation depends importantly on developing a highly qualified cadre of scientists, engineers, entrepreneurs, and other professionals. To realize that objective requires a system of schooling that produces students with advanced math and science skills. To see how well schools in the United States do at…