Six middle school students identified as having a specific learning disability or at risk for mathematical difficulties were taught how to solve multi-step equations by using the self-regulated strategy development (SRSD) model of instruction. A multiple-probe-across-pairs design was used to evaluate instructional effects. Instruction was provided…

Even though reflective symmetry is heavily embedded in the everyday, learners continue to experience challenges when they mathematize concepts from this informal/everyday context. In this article we argue that symmetry exists in nature, it can also be symbolized algebraically and it can be abstracted into the world of axioms and theorems. We…

The purpose of this article is to offer teacher training and professional development recommendations in mathematics based on the findings of a federally funded 3-year intervention study that improved the problem solving of middle school students with a focus on students with learning disabilities. Over the 3-year project, 29 seventh and eighth…

Teachers are challenged to create flexible learning environments that prepare students with diverse learning needs for adaptable thinking in a fast-paced and changing society. To address this need, we used a design-based research approach to develop a technology-based solution to individualize mathematical problem solving instruction to students…

We explored medical student's views and perceptions of a series of debates conducted during problem-based learning (PBL) practiced as a part of the Spiral curriculum at the Imam Abdulrahman Bin Faisal University, Saudi Arabia. A series of debates were employed during PBL sessions for second-year female medical students, over the period 2014-2016.…

The purpose of this current study was to examine and document the practices of soft skills (communication, IT, numeracy, learning how to learn, problem solving, working with others, and subject-specific competencies) among English as foreign language (EFL) student teachers at one public university teacher education program in Jambi, Indonesia. The…

A common activity in school mathematics is to derive a function from a table of values. There are two general strategies one might adopt to determine the function f. First, one might try to determine a connection between a particular n and f(n), and then evaluate whether it holds for other values of n. An alternative strategy would be to look for…

This dissertation examines two related questions. "How do mixed membership models work?" and "Can mixed membership be used to model how students use multiple strategies to solve problems?". Mixed membership models have been used in thousands of applications from text and image processing to genetic microarray analysis. Yet…

Debates in education are often polarised by those who want students to be firmly told what they should take on board, and those who insist individuals learn best if they were liberated from all forms of collective arrangement (such as an education authority). Some politicians even fluctuate between the two sets of views without any underlying…

This study explores changes in students' strategies as they solve different types of volume problems. Fifth graders were presented with pictures showing 3D objects and a unit cube; they determined how many cubes made up the object and explained their responses. We examined whether children transferred strategies across problem types, varying in…

Intentional learning occurs in formal and informal settings throughout an individual's life time. Intentional learning can be deemed as an ideal learning process where all the necessary elements for achieving a goal of effective learning are in place and in order. Intentional learners take an active role in and responsibility for their own…

There were two purposes in the study. One was to explore the cognitive activities during spatial problem solving and the other to probe the relationship between spatial ability and science concept learning. Twenty university students participated in the study. The Purdue Visualization of Rotations Test (PVRT) was used to assess the spatial…

Decision making during instruction that is responsive to children's mathematical thinking is examined reflexively by the researcher in the context of teaching second graders. Focus is on exploring how the research base on learning informs teaching decisions that are oriented to building on children's sound conceptions. The development of four…

Case-based instruction (CBI) offers a promising method for promoting problem-solving skills in learners. However, during CBI, the instructor shoulders major responsibility for shaping the learning that takes place. Research indicates that the facilitation techniques used during case discussions influence what gets covered, and to what extent,…

We conducted a qualitative research of case studies based on think-aloud protocols. The aim was to carry out in-depth analyse secondary students' cognitive difficulties appearing in early stages of transfer processes in problem-solving. The task was to relate several source problems to a target problem, in order to solve it effectively. Source and…