We present results from a meta-analysis of 37 contemporary experimental and quasi-experimental studies of summer programs in mathematics for children in grades pre-K-12, examining what resources and characteristics predict stronger student achievement. Children who participated in summer programs that included mathematics activities experienced…

Some researchers in mathematics education have studied the decisions professors make during classroom context activities. These decisions are explained by several factors: 1) how professors conceive the structure of mathematics; 2) what they know about the mathematical content; and, 3) what they consider the best didactic strategies to improve…

As part of the CBAL® learning and assessment initiative in mathematics, we developed a hypothesized learning progression (LP) for geometrical measurement in 1, 2, and 3 dimensions based on a synthesis of empirical literature in this field and through expert review. The geometrical measurement LP is intended to represent a developmental progression…

Low achievement in mathematics education has been an increasing problem in the recent years in some countries. According to a 2010 study from the U.S. Department of Education, blended learning classes produce statistically better results than their face-to-face. There is also an increasing number of students using smartphones and tablets in…

The purpose of the study was to determine if standardized math test scores improve by administering different types of exercise during math instruction. Three sixth grade classes were assessed on the Measures of Academic Progress (MAP) and the Minnesota Comprehensive Assessment (MCA) standardized math tests during the 2012 and 2013 academic year.…

A critical aspect of intervention research is investigating the active ingredients that underlie intensive interventions and their theories of change. This study explored the rate of instructional interactions within treatment groups to determine whether they offered explanatory power of an empirically validated Tier 2 kindergarten mathematics…

A challenge in mathematics education research is to coordinate different analyses to develop a more comprehensive account of teaching and learning. We contribute to these efforts by expanding the constructs in Cobb and Yackel's (Educational Psychologist 31:175-190, 1996) interpretive framework that allow for coordinating social and individual…

A critical aspect of intervention research is investigating the active ingredients that underlie intensive interventions and their theories of change. This study explored the rate of instructional interactions within treatment groups to determine whether they offered explanatory power of an empirically validated Tier 2 kindergarten mathematics…

Early math skills are a strong predictor of later achievement for young children, not only in math, but in other domains as well. Exhibiting strong math skills in elementary school is predictive of later high school completion and college attendance. To that end, the Making Pre-K Count and High 5s studies set out to rigorously assess whether…

This study sought to determine the efficacy of a self-administered folding-in technique to help fourth grade students at-risk for math difficulties improve their fluency with multiplication facts. The investigators used a multiple baseline across participants design during a two-phase intervention. While 4 of the 5 students made progress during…

Linear board games have shown great promise as tools to teach whole number concepts (Ramani & Siegler, 2008), but little is known about their utility for supporting negative integer concepts. This study sought to extend the use of linear board games to teach integer concepts. Forty-eight first graders (ages 6-7) counted along an integer board…

This study examined the associations between four types of childcare quality (i.e. teacher-child closeness, frequency of math-related activities, and teacher education and experience) and preschoolers' residualised gain in math over the course of six months. Additionally, potential interactions between teacher-child closeness and other indicators…

In this paper we report on the process, outcomes, and impact of a weekly homework assignment for which students write about the mathematics they do in their everyday lives. Data from 17 fifth-grade students suggest that after doing the assignment for a full school year, students clearly communicated their beliefs about the assignment having…

A large body of research has shown that for novice learners, instruction that relies more heavily on worked examples than on problem solving, is more effective for learning as shown by higher test performance. Moreover, this beneficial effect is often obtained with less acquisition time and lower cognitive load during acquisition and test phase.…

Background: Policy discussion to change the nature of teaching practices overshadows how social and economic inequalities contribute to unequal education outcomes. Research on how teaching practices contribute to the variance in test scores on a broad scale or on whether the relation of instruction to test scores is moderated by social and…