Much work has been done to characterize the reasoning of students as they solve mathematics-intensive problems and characterizing differences in expert and novice problem solving. In this work, we characterize the problem-solving strategies in a classroom setting of "transitioning novices," students who have completed an introductory…

Schema-based instruction (SBI) was used to teach nine middle school students with high-incidence disabilities (HID) to solve proportional reasoning word problems. A multiple-baseline-across-groups design was used to determine student understanding of the SBI process. The design consisted of three phases including baseline, SBI process, and…

Problem solving is recognized as a critical component to becoming a self-determined individual. The development of this skill should be fostered in the early years through the use of age-appropriate direct and embedded activities. However, many early childhood teachers may not be providing adequate instruction in this area. This column provides a…

Teaching supports the high-fidelity transmission of knowledge and skills. This study examined similarities and differences in caregiver teaching practices in the United States and Vanuatu (N = 125 caregiver and 3- to 8-year-old child pairs) during a collaborative problem-solving task. Caregivers used diverse verbal and nonverbal teaching practices…

The purpose of this research was to determine the effects of explicit instructions on children's divergent and creative thinking. Fifty-two children were assigned to one of four groups. Two of the groups were presented a problem with a model and instructions for solving the problem first and then presented problems with no instructions/model. The…

This research aims to test: (1) the effectiveness between problem posing learning model with Indonesian realistic mathematical education approach and problem posing learning model on written mathematical communication skills; (2) the effectiveness between field-independent and field-dependent cognitive styles on written mathematical communication…

The choice of instructional strategies, methods and techniques used by teachers is important in terms of establishing an effective learning environment. The purpose of this study is to examine the most common methods teachers use in their lessons and the factors that influence their choice of methods by using game theory. Game theory has different…

Background: Engaging students in computer-assisted guided inquiry learning has great potential to scaffold their scientific understanding: Students are expected to improve their scientific problem-solving skills, and at the same time gain a deep conceptual understanding of the subject-matter. Additional generative activities such as creating video…

This systematic review provides a synthesis of intervention research that taught mathematical word problem solving skills to students with autism spectrum disorder between 1975 and April of 2020 by evaluating the body of research in terms of "what works", "for whom" and "under what conditions". The Council for…

This article presents a checklist of 10 evidence-based practices for educators to apply in mathematics instruction for students with learning disabilities. The checklist is "actionable," meaning the items on the checklist can be put into action immediately. It provides practical strategies teachers can adopt to fit their lessons…

This article introduces a center-based direct instruction lesson using picture-based situation cards paired with a problem-solving poster that teachers can implement within the classroom to proactively teach the skill of problem-solving to children between the ages of 3 and 5 years old.

The importance of professional skills teaching and assessment within veterinary education has recently been highlighted in the veterinary education literature. This academic discourse follows the acknowledgement by both veterinary employers and graduates themselves that new graduates often lack the professional skills and attitudes needed for…

The potential benefits from the introduction of programming environments such as "Scratch" for learning mathematics has reactivated research in this area. Nonetheless, there are few studies which attempt to analyse their influence at the stage of Primary Education. We present the results of a quasi-experimental piece of research with…

Knowledge representations that result from practicing problem solving can be expected to differ from knowledge representations that emerge from explicit verbalizing of principles and rules. We examined the degree to which the two types of learning improve problem-solving knowledge and verbal explanation knowledge in classroom instruction. We…

This article reports on the explicit introduction of metacognitive strategies by an early career science teacher to support the application of mathematics skills. The research investigated the effectiveness of these strategies with three Year 11 physics students using an action research approach. Quantitative and qualitative data were collected…