We investigated whether three interventions -- studying incorrect worked examples, studying correct worked examples, or receiving feedback -- improved children's 0-1,000 (Experiment 1) and adults' 1 thousand--1 billion (Experiment 2) number-line estimation precision relative to a no intervention control group. At pretest, participants estimated…

The purpose of this study was to explore the paths by which word-problem intervention, with versus without embedded prealgebraic reasoning instruction, improved word-problem performance. Students with mathematics difficulty (MD; n = 304) were randomly assigned to a business-as-usual condition or 1 of 2 variants of word-problem intervention. The…

We report the results of a preregistered, cluster randomized controlled trial of a mathematics learning intervention known as interleaved practice. Whereas most mathematics assignments consist of a block of problems devoted to the same skill or concept, an interleaved assignment is arranged so that no 2 consecutive problems require the same…

Objective: Our objective was to evaluate the efficacy of the Sitting Together and Reaching to Play (START-Play) intervention in young infants with neuromotor disorders. Method: This randomized controlled trial compared usual care-early intervention (UC-EI) with START-Play plus UC-EI. Analyses included 112 infants with motor delay (55 UC-EI, 57…

The Good Behavior Game (GBG, Barrish, Saunders, & Wolf, 1969) and the PATHS Curriculum (Promoting Alternative Thinking Strategies; Greenberg, Kusche, Cook, & Quamma, 1995) represent 2 universal, elementary school, preventive interventions which have been shown in large-scale, randomized controlled trials to have an immediate and beneficial…

A classroom randomized efficacy trial conducted over four years in 7 community-based preschool and 6 Head Start programs investigated effects of the Second Step Early Learning (SSEL) curriculum on end of preschool executive functioning (EF) and social-emotional (SE) skills in low-income children. Outcomes are reported for n=770 four-year-olds…

The labels used to describe patterns and relations can influence children's relational reasoning. In this study, 62 preschoolers (M[subscript age] = 4.4 years) solved and described eight pattern abstraction problems (i.e., recreated the relation in a model pattern using novel materials). Some children were exposed to concrete labels (e.g.,…

Data-based problem solving is a hallmark of research-supported practices such as positive behavioral interventions and supports. In this study, we provided members of positive behavioral interventions and supports (PBIS) teams from 38 elementary schools with professional development focused on a research-supported problem-solving model…

Homework is transforming at a rapid rate with continuous advances in educational technology. Computer-based homework, in particular, is gaining popularity across a range of schools, with little empirical evidence on how to optimize student learning. The current aim was to test the effects of different types of feedback on computer-based homework.…

The Learning by Making (LbyM) project is funded by the U.S. Department of Education's Investing in Innovation Fund (i3). As a five-year development project (2014-2018), Sonoma State University (SSU), in partnership with high-need schools and districts, has been developing an innovative, integrated high school Science, Technology, Engineering, and…

The goal of the current research was to better understand when and why feedback has positive effects on learning and to identify features of feedback that may improve its efficacy. In a randomized experiment, second-grade children (N = 75) received instruction on a correct problem-solving strategy and then solved a set of relevant problems.…

Most mathematics assignments consist of a group of problems requiring the same strategy. For example, a lesson on the quadratic formula is typically followed by a block of problems requiring students to use the quadratic formula, which means that students know the appropriate strategy before they read each problem. In an alternative approach,…

Students often misinterpret the equal sign (=) as operational instead of relational. Research indicates misinterpretation of the equal sign occurs because students receive relatively little exposure to equations that promote relational understanding of the equal sign. No study, however, has examined effects of nonstandard equations on the equation…

Middle school algebra students (N = 125) randomly assigned within classroom to a Problem-solving control group, a Correct worked examples control group, or an Incorrect worked examples group, completed an experimental classroom study to assess the differential effects of incorrect examples versus the two control groups on students' algebra…

The effects of a mathematical problem-solving intervention on students' problem-solving performance and math achievement were measured in a randomized control trial with 1,059 7th-grade students. The intervention, "Solve It!," is a research-based cognitive strategy instructional intervention that was shown to improve the problem-solving…