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…

There is widespread evidence showing that concept maps are effective for learning. However, little is known about the effects of various concept map activities. We conducted an experiment to examine the comparative effectiveness of three concept map activities: (1) translating a complete map to a paragraph format; (2) filling in concepts in a…

When pre-school children count an array of objects containing one that is broken in half, most count the halves as two separate objects. Two studies explore this predisposition to count discrete physical objects (DPOs) and investigate its robustness in the face of various manipulations. In Experiment 1, 32 children aged three-four years counted…

In this study, we examined the development of maths skills in 269 Estonian primary school children (119 boys and 150 girls; 20 classes). Testing was carried out over a three-year period (Grade 1-Grade 3). Before the last testing session, children's verbal skills and motivational orientations were also tested. In addition, teachers evaluated…