The worked example effect has been well documented within the framework of Cognitive Load Theory (CLT), which suggests that teaching with examples would be superior to engaging in unguided problem solving, particularly for novices, as using worked examples would reduce their cognitive load, compared to solving problems, thus facilitating knowledge…

The current study assessed whether adding worked examples with self-explanation prompts focused on making connections between mathematical principles, procedures, and concepts of rational numbers to a curriculum focused on invented strategies improves pre-algebra students' fraction number line acuity, rational number concepts and procedures.…

Faded worked examples have been used to promote problem solving performance, such as mathematics performance in many laboratory studies and short-term classroom studies. However, few studies have examined the ways educators may use fading in their own classroom on more accessible platforms that do not require programming experience. Further, few…

The present study focuses on creating a more pleasurable learning experience for students learning maths. Participants completed two lists of maths problems, a short list of only difficult maths problems and an extended list with both difficult maths problems and moderately difficult maths problems, placed in the beginning, end, or both beginning…

We investigated the effect of emphasising the realistic modelling complexity in text or in the accompanying picture on the solution of P-items, in relation to pupils' grade. 290 pupils from the 5th and 6th grade of various elementary schools in Flanders (Belgium) made a paper-and-pencil task with 7 word problems that are problematic from a…

Over the last decades, teachers' self-efficacy beliefs have been widely investigated and defined as an overall construct. Recent studies indicate, however, that teachers' self-efficacy (TSE) beliefs vary depending on the individual student (so-called 'student-specific teacher self-efficacy', S-S TSE). Students' gender, their language background,…

This longitudinal study tests the optimal placement of cooperative learning during instruction. Pre-service teachers (N = 97) were taught about psychology theories applied to educational contexts and were asked to apply this knowledge in problem-solving activities using relevant classroom cases. Participants were assigned to either (Early) or…

Self-assessment is essential to scientific literacy as stated by the National Research Council Committee on Conceptual Framework for the New K-12 Science Education Standards and has since been incorporated into the Next Generation Science Standards. However, little empirical evidence documents which instructional tools are beneficial in improving…

Central to equation solving is the maintenance of equivalence on both sides of the equation. However, when the process involves an interaction of multiple elements, solving an equation can impose a high cognitive load. The balance method requires operations on both sides of the equation, whereas the inverse method involves operations on one side…

This study evaluates the effects of an intervention aimed at improving representational flexibility in linear-function problems. Forty-nine students aged 13-16 participated in the study. A pretest-intervention-posttest design with an experimental and control group was used. At pretest, both groups solved a choice test, where they could freely…

This study compared the effects of worked example and problem-solving approaches in individual or group work settings on learning to solve geometry problems. One hundred and one seventh graders from Indonesia were randomly allocated to four experimental groups using a 2 (problem-solving vs. worked examples) x 2 (individual vs. group study) design.…

Students (n = 328) from US and UK universities completed four self-report measures related to intellectual competence: typical intellectual engagement (TIE), openness to experience, self-assessed intelligence (SAI), and learning approaches. Confirmatory data reduction was used to examine the structure of TIE and supported five major factors:…

The conditions under which explicit instruction in checking, combined with worked examples, may be beneficial in learning how to translate sentences into algebraic equations was examined from the perspective of cognitive load theory. In two experiments it was shown that Grade 8 and 9 students were initially disadvantaged by the inclusion of a…