Purpose: The purpose of this paper is to develop a set of generic prompting principles and a framework of prompts that have the potential to foster learning and skill acquisition among adult novices when performing complex, ill-structured problems. Design/methodology/approach: Relevant research in the literatures surrounding problem structure,…

Literature suggests that the mathematical language of teachers impacts a student's understanding of math concepts. When teachers unintentionally use ambiguous language, students' understanding of a subject can be negatively affected. We share background on specific instances in which teachers can create confusion with the language they use, and we…

This qualitative single exploratory case study explored instructional practices of third, fourth, and fifth grade teachers to explore how Florida students with learning disabilities at the elementary school level perform on statewide mathematics assessments of learning following both cognitive and metacognitive skills development. Theoretical…

In the project MultiMa (Multiple solutions for mathematics teaching oriented toward students' self-regulation), we investigated the effects of prompting students to use multiple solution methods while solving real-world problems on their learning. In this quasi-experimental study, we compared three treatment conditions. In one condition, students…

This study investigated the effects of a modified system of least prompts and an electronic story-mapping intervention for elementary students with autism spectrum disorder. Participants were first taught to identify story element definitions using constant time delay. Participants then listened to age-appropriate narrative texts with a…

The researchers in this study examined the influence of questions designed with the Practical Inquiry Model (PIM), compared with the regular (playground) questions, on students' levels of cognitive presence in online discussions. Students' discussion postings were collected and categorized according to the four levels of cognitive presence:…

The Dirac delta function is a standard mathematical tool that appears repeatedly in the undergraduate physics curriculum in multiple topical areas including electrostatics, and quantum mechanics. While Dirac delta functions are often introduced in order to simplify a problem mathematically, students still struggle to manipulate and interpret them.…

In this paper we investigated the contribution of a dynamic testing procedure, including multiple graduated prompts protocols, in identifying differences in need for instruction of second grade children (N = 120) with arithmetic difficulties. The training was adaptive and prompts were provided according to one of six protocols, each focusing on a…

The purpose of the study was to investigate the effectiveness of teaching a three-step cognitive strategy (TIP) using the schema broadening procedures on functional mathematical problem solving skills of young adults with intellectual disability (ID). We randomly assigned 14 learners with ID to the control and experimental group before the…

Encouraging students to develop multiple solutions for given problems is an important way to improve mathematical knowledge. However, the influence of this teaching element on students' interest-related motivational orientations is an open question. In this article, we report the results of an experimental study (N = 145) that was carried out to…

This study aims to design learning situations and tasks that promote and assess the capacity of primary school children to transfer mathematical knowledge to new contexts. We discuss previous studies investigating mathematical transfer, and particularly the strengths and limitations of tasks used to assess transfer in these studies. We describe…

Researchers have extensively documented, and math teachers know from experience, that algebra is a "gatekeeper" to more advanced mathematical topics. Students must have a strong understanding of fundamental algebraic concepts to be successful in later mathematics courses. Unfortunately, algebraic misconceptions that students may form or…

Research shows that multiple external representations can significantly enhance students' learning. Most of this research has focused on learning with text and 1 additional graphical representation. However, real instructional materials often employ multiple "graphical" representations (MGRs) in addition to text. An important open…

This book helps teachers support and engage the many different kinds of learners in schools. It examines the most effective strategies for leading diverse students in developing the skills they need inside and outside the classroom. By understanding and exploring students emotional, cultural, and academic needs, educators will be better prepared…

This study investigated how question prompts and feedback influenced knowledge acquisition and cognitive load when learning Newtonian mechanics within a web-based multimedia module. Participants were one hundred eighteen 9th grade students who were randomly assigned to one of four experimental conditions, forming a 2 x 2 factorial design with the…